diff --git a/Cargo.lock b/Cargo.lock
index 2ad3750..33965f8 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1195,7 +1195,7 @@ dependencies = [
 
 [[package]]
 name = "casper-runtime"
-version = "4.0.17"
+version = "4.0.18"
 dependencies = [
  "casper-runtime-constants",
  "frame-benchmarking",
@@ -3762,7 +3762,7 @@ dependencies = [
 
 [[package]]
 name = "ghost-helpers"
-version = "0.0.15"
+version = "0.0.16"
 dependencies = [
  "frame-support",
  "ghost-traits",
diff --git a/pallets/helpers/Cargo.toml b/pallets/helpers/Cargo.toml
index 07c4e9c..014faae 100644
--- a/pallets/helpers/Cargo.toml
+++ b/pallets/helpers/Cargo.toml
@@ -1,6 +1,6 @@
 [package]
 name = "ghost-helpers"
-version = "0.0.15"
+version = "0.0.16"
 description = "Cryptographic utility suite for custom runtimes: optimized Bitmaps, UTXO parsing, Merkle Tree proofs, and Hash Chain components."
 license.workspace = true
 authors.workspace = true
diff --git a/pallets/helpers/src/lib.rs b/pallets/helpers/src/lib.rs
index 3b9f72a..5ad4402 100644
--- a/pallets/helpers/src/lib.rs
+++ b/pallets/helpers/src/lib.rs
@@ -3,6 +3,7 @@
 use ghost_traits::hashing::GhostHasher;
 use sp_core::H256;
 use sp_io::hashing::{blake2_256, keccak_256, sha2_256};
+use sp_runtime::{Perbill, traits::{Saturating, UniqueSaturatedInto}};
 
 pub mod bounded_bitmap;
 pub mod hash_chain;
@@ -49,6 +50,34 @@ where
     value - f
 }
 
+pub fn get_submission_probability<B>(
+    participants_count: usize,
+    values_count: usize,
+    blocks_left: B
+) -> Perbill
+where
+	B: UniqueSaturatedInto<u32>,
+{
+    // y = min(1, (1/6) + (A-C)/2x)
+    let a: u32 = participants_count.unique_saturated_into();
+    let c: u32 = values_count.unique_saturated_into();
+    let x: u32 = blocks_left.unique_saturated_into();
+
+    if a == 0 { return Perbill::zero(); }
+
+    let part_1 = Perbill::from_percent(6);
+    let part_2 = if x > 0 {
+        let numerator = a.saturating_sub(c);
+        let denominator = x.saturating_mul(2);
+        Perbill::from_rational(numerator, denominator)
+    } else {
+        if c < a { Perbill::one() }
+        else { Perbill::zero() }
+    };
+
+    part_1.saturating_add(part_2)
+}
+
 macro_rules! impl_ghost_hasher {
     (
         struct $name:ident;
@@ -155,4 +184,38 @@ mod tests {
         assert_eq!(get_byzantium_quorum_threshold(4u64), 3u64);
         assert_eq!(get_byzantium_quorum_threshold(4usize), 3usize);
     }
+
+    #[test]
+    fn test_base_probability_when_plenty_of_time() {
+        let prob = get_submission_probability(100, 0, 10000u32);
+        assert!(prob > Perbill::from_percent(6));
+        assert!(prob < Perbill::from_percent(7));
+    }
+
+    #[test]
+    fn test_urgency_increases_as_blocks_shrink() {
+        let prob_far = get_submission_probability(20, 10, 10u32);
+        assert_eq!(prob_far, Perbill::from_percent(56));
+
+        let prob_close = get_submission_probability(20, 10, 2u32);
+        assert_eq!(prob_close, Perbill::one());
+    }
+
+    #[test]
+    fn test_deadline_reached_but_votes_missing() {
+        let prob = get_submission_probability(10, 5, 0u32);
+        assert_eq!(prob, Perbill::one());
+    }
+
+    #[test]
+    fn test_all_votes_collected() {
+        let prob = get_submission_probability(10, 10, 5u32);
+        assert_eq!(prob, Perbill::from_percent(6));
+    }
+
+    #[test]
+    fn test_zero_participants_edge_case() {
+        let prob = get_submission_probability(0, 0, 5u32);
+        assert_eq!(prob, Perbill::zero());
+    }
 }
diff --git a/pallets/weaver/src/lib.rs b/pallets/weaver/src/lib.rs
index 7379a29..b8dadcf 100644
--- a/pallets/weaver/src/lib.rs
+++ b/pallets/weaver/src/lib.rs
@@ -22,13 +22,16 @@ use sp_runtime::{
         storage::StorageValueRef,
         storage_lock::{StorageLock, Time},
     },
-    traits::{BlockNumberProvider, Saturating, UniqueSaturatedInto},
-    RuntimeAppPublic,
+    traits::{
+        TrailingZeroInput, BlockNumberProvider, Saturating,
+        UniqueSaturatedInto,
+    },
+    RuntimeAppPublic, Perbill, PerThing,
 };
 
 use ghost_helpers::{
     bounded_bitmap::{validate_bitmap_sizes, BoundedBitmap},
-    get_byzantium_quorum_threshold,
+    get_byzantium_quorum_threshold, get_submission_probability,
     networks::{NetworkData, NetworkType},
 };
 use ghost_traits::{
@@ -39,6 +42,7 @@ use ghost_traits::{
     },
 };
 
+pub mod migrations;
 mod errors;
 mod impls;
 mod types;
@@ -99,7 +103,7 @@ type WeaversBitmap<T> = BoundedBitmap<BitmapChunk, <T as Config>::MaxAuthorities
 pub mod pallet {
     use super::*;
 
-    const STORAGE_VERSION: StorageVersion = StorageVersion::new(0);
+    const STORAGE_VERSION: StorageVersion = StorageVersion::new(1);
 
     #[pallet::pallet]
     #[pallet::storage_version(STORAGE_VERSION)]
@@ -183,9 +187,10 @@ pub mod pallet {
     }
 
     #[pallet::storage]
-    #[pallet::getter(fn attested_blocks)]
-    pub(super) type AttestedBlocks<T: Config> = StorageMap<
+    #[pallet::getter(fn network_attested_blocks)]
+    pub(super) type NetworkAttestedBlocks<T: Config> = StorageDoubleMap<
         _,
+        Twox64Concat, NetworkIdOf<T>,
         Twox64Concat, AuthIndex,
         BlockNumberFor<T>,
         ValueQuery,
@@ -356,7 +361,10 @@ pub mod pallet {
                 })?;
 
             let current_block = T::BlockNumberProvider::current_block_number();
-            AttestedBlocks::<T>::insert(&authority_index, current_block);
+            NetworkAttestedBlocks::<T>::insert(
+                &network_id, &authority_index,
+                current_block
+            );
 
             Self::deposit_event(Event::<T>::BlockAttestated {
                 network_id,
@@ -410,12 +418,19 @@ pub mod pallet {
 
             WeavingStates::<T>::mutate(&network_id, |weaving_state| {
                 if weaving_state.count < weavers_count {
-                    *weaving_state = WeavingState::new(root_hash, next_session, weavers_count);
+                    *weaving_state = WeavingState::new(
+                        root_hash,
+                        next_session,
+                        weavers_count
+                    );
                 }
             });
 
             let current_block = T::BlockNumberProvider::current_block_number();
-            AttestedBlocks::<T>::insert(&authority_index, current_block);
+            NetworkAttestedBlocks::<T>::insert(
+                &network_id, &authority_index,
+                current_block
+            );
 
             Self::deposit_event(Event::<T>::HashAttestated {
                 authority_index,
@@ -688,6 +703,41 @@ impl<T: Config> Pallet<T> {
         A: Encode,
     {
         let authority_index = attestation.authority_index();
+        let network_id = attestation.network_id();
+
+        if !T::NetworkDataHandler::contains_key(&network_id) {
+            return Err(InvalidTransaction::BadProof);
+        }
+
+        let current_attestation_len =
+            NetworkAttestations::<T>::decode_len(&network_id).unwrap_or(0);
+
+        if authority_index as usize >= current_attestation_len {
+            return Err(InvalidTransaction::BadSigner.into());
+        }
+
+        if DisabledAuthorities::<T>::get().contains(authority_index) {
+            return Err(InvalidTransaction::BadSigner);
+        }
+
+        let attestation_block = attestation.block();
+        let current_block = T::BlockNumberProvider::current_block_number();
+        let lock: BlockNumberFor<T> = LOCK_BLOCK_EXPIRATION.unique_saturated_into();
+        let block_expiration = attestation_block.saturating_add(lock);
+
+        if current_block >= block_expiration {
+            return Err(InvalidTransaction::Stale);
+        }
+
+        let last_attested = NetworkAttestedBlocks::<T>::get(
+            &network_id,
+            &authority_index
+        );
+        let cooling_off_until = last_attested.saturating_add(lock);
+
+        if attestation_block < cooling_off_until {
+            return Err(InvalidTransaction::Stale);
+        }
 
         Authorities::<T>::get()
             .get(authority_index as usize)
@@ -699,35 +749,6 @@ impl<T: Config> Pallet<T> {
                     .ok_or(InvalidTransaction::BadSigner)
             })?;
 
-        let attestation_block = attestation.block();
-        let current_block = T::BlockNumberProvider::current_block_number();
-        let lock: BlockNumberFor<T> = LOCK_BLOCK_EXPIRATION.unique_saturated_into();
-        let block_expiration = attestation_block.saturating_add(lock);
-
-        let block_expired = current_block >= block_expiration;
-        let block_attested = AttestedBlocks::<T>::get(authority_index)
-            .ge(&attestation_block);
-
-        if block_expired || block_attested {
-            return Err(InvalidTransaction::BadProof);
-        }
-
-        let network_id = attestation.network_id();
-        let current_attestation_len = NetworkAttestations::<T>::decode_len(&network_id)
-            .unwrap_or(0);
-
-        if authority_index as usize >= current_attestation_len {
-            return Err(InvalidTransaction::BadSigner.into());
-        }
-
-        if DisabledAuthorities::<T>::get().contains(authority_index) {
-            return Err(InvalidTransaction::BadSigner);
-        }
-
-        if !T::NetworkDataHandler::contains_key(&network_id) {
-            return Err(InvalidTransaction::BadProof);
-        }
-
         Ok((authority_index, network_id))
     }
 
@@ -780,14 +801,31 @@ impl<T: Config> Pallet<T> {
             return Err(WeavingError::NoEndpointsAvailable(network_id));
         }
 
+        let check_probability = |values_count: usize, blocks_left: BlockNumberFor<T>| -> bool {
+            let total_authorities = Authorities::<T>::decode_len().unwrap_or(1);
+            let submission_probability = get_submission_probability(
+                total_authorities,
+                values_count,
+                blocks_left,
+            );
+
+            let seed = sp_io::offchain::random_seed();
+            let randomness = <u32>::decode(&mut TrailingZeroInput::new(seed.as_ref()))
+			    .expect("input is padded with zeroes; qed");
+		    let random_roll = Perbill::from_parts(randomness % Perbill::ACCURACY);
+
+            random_roll > submission_probability
+        };
+
         match TapestryDrafts::<T>::get(&network_id) {
             Some(tapestry_draft) => Self::try_request_and_submit_hash(
                 network_id,
                 current_block,
-                tapestry_draft.median,
+                tapestry_draft,
                 deadline,
                 &network_data,
                 &rpc_endpoints,
+                check_probability,
             ),
             None => Self::try_request_and_submit_block(
                 network_id,
@@ -795,6 +833,7 @@ impl<T: Config> Pallet<T> {
                 deadline,
                 &network_data,
                 &rpc_endpoints,
+                check_probability,
             ),
         }
     }
@@ -802,13 +841,22 @@ impl<T: Config> Pallet<T> {
     fn try_request_and_submit_hash(
         network_id: NetworkIdOf<T>,
         current_block: BlockNumberFor<T>,
-        target_block: ExternalBlockNumber,
+        tapestry_draft: TapestryDraft<BlockNumberFor<T>>,
         deadline: rt_offchain::Timestamp,
         network_data: &NetworkData,
         rpc_endpoints: &Vec<Vec<u8>>,
+        check_probability: impl Fn(usize, BlockNumberFor<T>) -> bool,
     ) -> WeavingResult<T, WeavingOk<NetworkIdOf<T>>> {
         let weaving_session = CurrentWeavingSession::<T>::get(&network_id);
 
+        let block_until = tapestry_draft.until.saturating_sub(current_block);
+        let weaving_count = WeavingStates::<T>::get(&network_id).count as usize;
+
+        if check_probability(weaving_count, block_until) {
+            return Ok(WeavingOk::Skipped(network_id));
+        }
+
+        let target_block = tapestry_draft.median;
         let request_id = current_block.unique_saturated_into();
 
         let request_body = network_data.r#type.get_hash_request_body(
@@ -902,7 +950,20 @@ impl<T: Config> Pallet<T> {
         deadline: rt_offchain::Timestamp,
         network_data: &NetworkData,
         rpc_endpoints: &Vec<Vec<u8>>,
+        check_probability: impl Fn(usize, BlockNumberFor<T>) -> bool,
     ) -> WeavingResult<T, WeavingOk<NetworkIdOf<T>>> {
+        let next_attempt_block = NextConsensusAttemptBlocks::<T>::get(&network_id);
+        let block_until = next_attempt_block.saturating_sub(current_block);
+
+        let attestations_count = NetworkAttestations::<T>::get(&network_id)
+            .iter()
+            .flatten()
+            .count();
+
+        if check_probability(attestations_count, block_until) {
+            return Ok(WeavingOk::Skipped(network_id));
+        }
+
         let network_id_encoded = network_id.encode();
         let distance_key = Self::create_storage_key(b"distance-", &network_id_encoded);
         let block_deviation =
diff --git a/pallets/weaver/src/migrations/mod.rs b/pallets/weaver/src/migrations/mod.rs
new file mode 100644
index 0000000..5cd70fb
--- /dev/null
+++ b/pallets/weaver/src/migrations/mod.rs
@@ -0,0 +1,9 @@
+pub mod v1;
+
+pub type MigrateV0ToV1<T> = frame_support::migrations::VersionedMigration<
+    0,
+    1,
+    v1::RemoveAttestedBlocksStorage<T>,
+	crate::Pallet::<T>,
+    <T as frame_system::Config>::DbWeight,
+>;
diff --git a/pallets/weaver/src/migrations/v1.rs b/pallets/weaver/src/migrations/v1.rs
new file mode 100644
index 0000000..dfee020
--- /dev/null
+++ b/pallets/weaver/src/migrations/v1.rs
@@ -0,0 +1,33 @@
+use frame_support::{
+    traits::{Get, UncheckedOnRuntimeUpgrade},
+    weights::Weight,
+};
+
+use core::marker::PhantomData;
+use crate::{Config, LOG_TARGET};
+
+pub struct RemoveAttestedBlocksStorage<T>(PhantomData<T>);
+impl<T: Config> UncheckedOnRuntimeUpgrade for RemoveAttestedBlocksStorage<T> {
+    fn on_runtime_upgrade() -> Weight {
+        let clear_key = frame_support::storage::storage_prefix(
+            b"GhostWeaver",
+            b"AttestedBlocks"
+        );
+
+        let removal_results = frame_support::storage::unhashed::clear_prefix(
+            &clear_key,
+            None,
+            None
+        );
+
+        let killed_keys = removal_results.unique;
+
+        log::info!(
+            target: LOG_TARGET,
+            "🧹 Success: Purged deprecated AttestedBlocks storage. Wiped {} keys from Trie.",
+            killed_keys
+        );
+
+        T::DbWeight::get().reads_writes(1, killed_keys as u64)
+    }
+}
diff --git a/pallets/weaver/src/tests.rs b/pallets/weaver/src/tests.rs
index 412f507..57b7386 100644
--- a/pallets/weaver/src/tests.rs
+++ b/pallets/weaver/src/tests.rs
@@ -1,6 +1,6 @@
 #![cfg(test)]
 
-use crate::sr25519::AuthorityPair;
+use crate::{LOCK_BLOCK_EXPIRATION, sr25519::AuthorityPair};
 
 use crate::mock::*;
 use crate::pallet::*;
@@ -76,11 +76,11 @@ fn should_successfully_compute_median_and_start_weaving_round() {
     let networks = vec![(network_id, network_data, Default::default())];
 
     new_test_ext(authorities, networks).execute_with(|| {
-        GhostWeaver::on_initialize(1);
-        System::set_block_number(2);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 1);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 2);
 
         let context = AttestationContext::default()
-            .with_current_block(1)
+            .with_current_block(LOCK_BLOCK_EXPIRATION + 1)
             .with_network_id(network_id);
 
         let att1 = context.with_authority_index(0).build_block_attestation(100);
@@ -97,12 +97,12 @@ fn should_successfully_compute_median_and_start_weaving_round() {
 
         assert!(GhostWeaver::tapestry_drafts(network_id).is_none());
 
-        System::set_block_number(3);
-        GhostWeaver::on_initialize(3);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 3);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 3);
 
         let round = GhostWeaver::tapestry_drafts(network_id);
         assert!(round.is_some());
-        assert_eq!(round.unwrap().until, 3 + WeavingDelay::get());
+        assert_eq!(round.unwrap().until, LOCK_BLOCK_EXPIRATION + 3 + WeavingDelay::get());
     });
 }
 
@@ -121,11 +121,11 @@ fn should_apply_cooldown_delay_on_consensus_failure() {
     let networks = vec![(network_id, network_data, Default::default())];
 
     new_test_ext(authorities, networks).execute_with(|| {
-        GhostWeaver::on_initialize(9);
-        System::set_block_number(10);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 9);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 10);
 
         let context = AttestationContext::default()
-            .with_current_block(9)
+            .with_current_block(LOCK_BLOCK_EXPIRATION + 9)
             .with_network_id(network_id);
 
         let att1 = context.with_authority_index(0).build_block_attestation(100);
@@ -140,20 +140,20 @@ fn should_apply_cooldown_delay_on_consensus_failure() {
         assert!(GhostWeaver::extend_warp(RuntimeOrigin::none(), att2, sig2).is_ok());
         assert!(GhostWeaver::extend_warp(RuntimeOrigin::none(), att3, sig3).is_ok());
 
-        System::set_block_number(11);
-        GhostWeaver::on_initialize(11);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 11);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 11);
 
         let cooldown_block = GhostWeaver::next_consensus_attempt_blocks(network_id);
-        assert_eq!(cooldown_block, 14);
+        assert_eq!(cooldown_block, LOCK_BLOCK_EXPIRATION + 14);
 
         TapestryDrafts::<TestRuntime>::remove(network_id);
 
-        System::set_block_number(12);
-        GhostWeaver::on_initialize(12);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 12);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION+ 12);
         assert!(TapestryDrafts::<TestRuntime>::get(network_id).is_none());
 
-        System::set_block_number(14);
-        GhostWeaver::on_initialize(14);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 14);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 14);
         assert!(TapestryDrafts::<TestRuntime>::get(network_id).is_some());
     });
 }
@@ -170,11 +170,11 @@ fn validate_unsigned_should_prevent_mempool_dos_via_tags() {
     let networks = vec![(network_id, network_data, Default::default())];
 
     new_test_ext(authorities, networks).execute_with(|| {
-        GhostWeaver::on_initialize(1);
-        System::set_block_number(2);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 1);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 2);
 
         let att = AttestationContext::default()
-            .with_current_block(1)
+            .with_current_block(LOCK_BLOCK_EXPIRATION + 1)
             .with_network_id(network_id)
             .with_authority_index(0)
             .build_block_attestation(100);
@@ -187,7 +187,9 @@ fn validate_unsigned_should_prevent_mempool_dos_via_tags() {
             signature: valid_sig,
         };
 
-        let validity = GhostWeaver::validate_unsigned(TransactionSource::External, &call);
+        let validity =
+            GhostWeaver::validate_unsigned(TransactionSource::External, &call);
+
         assert!(validity.is_ok());
         let valid_info = validity.unwrap();
 
@@ -202,7 +204,9 @@ fn validate_unsigned_should_prevent_mempool_dos_via_tags() {
             signature: invalid_sig,
         };
 
-        let spam_validity = GhostWeaver::validate_unsigned(TransactionSource::External, &spam_call);
+        let spam_validity =
+            GhostWeaver::validate_unsigned(TransactionSource::External, &spam_call);
+
         assert_eq!(
             spam_validity,
             Err(TransactionValidityError::Invalid(InvalidTransaction::BadSigner).into())
@@ -243,8 +247,8 @@ fn offchain_worker_should_fetch_block_and_submit_unsigned_tx() {
     ext.register_extension(TransactionPoolExt::new(pool));
 
     ext.execute_with(|| {
-        GhostWeaver::on_initialize(1);
-        GhostWeaver::on_initialize(2);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 1);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 2);
 
         let network_id_encoded = evm_network_id.encode();
 
@@ -258,6 +262,7 @@ fn offchain_worker_should_fetch_block_and_submit_unsigned_tx() {
 
         let target_endpoint = b"http://localhost:8545".to_vec();
         let rpc_endpoints: Vec<Vec<u8>> = vec![target_endpoint.clone()];
+
         sp_io::offchain::local_storage_set(
             sp_core::offchain::StorageKind::PERSISTENT,
             &endpoint_key,
@@ -294,8 +299,8 @@ fn offchain_worker_should_fetch_block_and_submit_unsigned_tx() {
                 ("Accept".into(), "application/json".into()),
                 ("Content-Type".into(), "application/json".into()),
             ],
-            body: b"{\"id\":1,\"jsonrpc\":\"2.0\",\"method\":\"getblockcount\"}".to_vec(),
-            response: Some(b"{\"jsonrpc\":\"2.0\",\"id\":1,\"result\":960127}".to_vec()),
+            body: b"{\"id\":21,\"jsonrpc\":\"2.0\",\"method\":\"getblockcount\"}".to_vec(),
+            response: Some(b"{\"jsonrpc\":\"2.0\",\"id\":21,\"result\":960127}".to_vec()),
             sent: true,
             ..Default::default()
         });
@@ -309,16 +314,16 @@ fn offchain_worker_should_fetch_block_and_submit_unsigned_tx() {
                 ("X-Custom-Provider".into(), "GhostWeaverNode".into()),
                 ("Authorization".into(), "Bearer new-api-token-123".into()),
             ],
-            body: b"{\"id\":2,\"jsonrpc\":\"2.0\",\"method\":\"eth_blockNumber\"}".to_vec(),
-            response: Some(b"{\"jsonrpc\":\"2.0\",\"id\":2,\"result\":\"0x1873a84\"}".to_vec()),
+            body: b"{\"id\":22,\"jsonrpc\":\"2.0\",\"method\":\"eth_blockNumber\"}".to_vec(),
+            response: Some(b"{\"jsonrpc\":\"2.0\",\"id\":22,\"result\":\"0x1873a84\"}".to_vec()),
             sent: true,
             ..Default::default()
         });
     }
 
     ext.execute_with(|| {
-        System::set_block_number(1u64);
-        GhostWeaver::offchain_worker(1u64);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 1u64);
+        GhostWeaver::offchain_worker(LOCK_BLOCK_EXPIRATION + 1u64);
 
         let state = pool_state.read();
         assert_eq!(state.transactions.len(), 1);
@@ -339,13 +344,13 @@ fn offchain_worker_should_fetch_block_and_submit_unsigned_tx() {
         assert_eq!(curr_utxo_block, 960127);
 
         assert!(TapestryDrafts::<TestRuntime>::get(&utxo_network_id).is_none());
-        GhostWeaver::on_initialize(3u64);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 3u64);
         assert!(TapestryDrafts::<TestRuntime>::get(&utxo_network_id).is_some());
     });
 
     ext.execute_with(|| {
-        System::set_block_number(2u64);
-        GhostWeaver::offchain_worker(2u64);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 2u64);
+        GhostWeaver::offchain_worker(LOCK_BLOCK_EXPIRATION + 2u64);
 
         let state = pool_state.read();
         assert_eq!(state.transactions.len(), 2);
@@ -366,8 +371,8 @@ fn offchain_worker_should_fetch_block_and_submit_unsigned_tx() {
         assert_eq!(curr_evm_block, 25639556);
 
         assert!(TapestryDrafts::<TestRuntime>::get(&evm_network_id).is_none());
-        GhostWeaver::on_initialize(3u64);
-        GhostWeaver::on_initialize(4u64);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 3u64);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 4u64);
         assert!(TapestryDrafts::<TestRuntime>::get(&evm_network_id).is_some());
     });
 }
@@ -414,8 +419,8 @@ fn offchain_worker_should_fetch_hash_and_submit_unsigned_tx() {
     ext.register_extension(TransactionPoolExt::new(pool));
 
     ext.execute_with(|| {
-        GhostWeaver::on_initialize(1);
-        GhostWeaver::on_initialize(2);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 1);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 2);
 
         let tapestry_draft = TapestryDraftBuilder::<crate::ExternalBlockNumber, u32>::default();
         let evm_tapestry_draft = tapestry_draft.with_median_external(median_evm_block).build();
@@ -475,8 +480,8 @@ fn offchain_worker_should_fetch_hash_and_submit_unsigned_tx() {
                 ("Accept".into(), "application/json".into()),
                 ("Content-Type".into(), "application/json".into()),
             ],
-            body: b"{\"id\":1,\"jsonrpc\":\"2.0\",\"method\":\"getblockhash\",\"params\":[960129]}".to_vec(),
-            response: Some(b"{\"jsonrpc\":\"2.0\",\"id\":1,\"result\":\"0000000000000000000091c72779c83d76dfa8149e950f3a5287377a9708d5c1\"}".to_vec()),
+            body: b"{\"id\":21,\"jsonrpc\":\"2.0\",\"method\":\"getblockhash\",\"params\":[960129]}".to_vec(),
+            response: Some(b"{\"jsonrpc\":\"2.0\",\"id\":21,\"result\":\"0000000000000000000091c72779c83d76dfa8149e950f3a5287377a9708d5c1\"}".to_vec()),
             sent: true,
             ..Default::default()
         });
@@ -491,16 +496,16 @@ fn offchain_worker_should_fetch_hash_and_submit_unsigned_tx() {
                 ("Authorization".into(), "Bearer new-api-token-123".into()),
             ],
             // Match the EXACT field order: data first, then to
-            body: b"{\"id\":2,\"jsonrpc\":\"2.0\",\"method\":\"eth_call\",\"params\":[{\"data\":\"0x00000000000000000000000000000000000000000000000000000000000000450000000000000000000000000000000000000000000000000000000001873a84\",\"to\":\"0x02f9308a019258c31049344f85f89d5229b531c845836f99b08601f113bce036f9\"},\"latest\"]}".to_vec(),
-            response: Some(b"{\"jsonrpc\":\"2.0\",\"id\":2,\"result\":\"0xf72b9ef0b66c8cc3952ffd11dc0b85f3b02e6edfa9236da400138f2fcba4668d0000000000000000000000000000000000000000000000000000000000000046\"}".to_vec()),
+            body: b"{\"id\":22,\"jsonrpc\":\"2.0\",\"method\":\"eth_call\",\"params\":[{\"data\":\"0x00000000000000000000000000000000000000000000000000000000000000450000000000000000000000000000000000000000000000000000000001873a84\",\"to\":\"0x02f9308a019258c31049344f85f89d5229b531c845836f99b08601f113bce036f9\"},\"latest\"]}".to_vec(),
+            response: Some(b"{\"jsonrpc\":\"2.0\",\"id\":22,\"result\":\"0xf72b9ef0b66c8cc3952ffd11dc0b85f3b02e6edfa9236da400138f2fcba4668d0000000000000000000000000000000000000000000000000000000000000046\"}".to_vec()),
             sent: true,
             ..Default::default()
         });
     }
 
     ext.execute_with(|| {
-        System::set_block_number(1u64);
-        GhostWeaver::offchain_worker(1u64);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 1u64);
+        GhostWeaver::offchain_worker(LOCK_BLOCK_EXPIRATION + 1u64);
 
         let state = pool_state.read();
         assert_eq!(state.transactions.len(), 1);
@@ -533,8 +538,8 @@ fn offchain_worker_should_fetch_hash_and_submit_unsigned_tx() {
     });
 
     ext.execute_with(|| {
-        System::set_block_number(2u64);
-        GhostWeaver::offchain_worker(2u64);
+        System::set_block_number(LOCK_BLOCK_EXPIRATION + 2u64);
+        GhostWeaver::offchain_worker(LOCK_BLOCK_EXPIRATION + 2u64);
 
         let state = pool_state.read();
         assert_eq!(state.transactions.len(), 2);
@@ -557,8 +562,8 @@ fn offchain_worker_should_fetch_hash_and_submit_unsigned_tx() {
         assert_eq!(curr_weaving_state.hash, block_hash);
 
         let prev_state = LoomStates::<TestRuntime>::get(&evm_network_id, &evm_session);
-        GhostWeaver::on_initialize(3u64);
-        GhostWeaver::on_initialize(4u64);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 3u64);
+        GhostWeaver::on_initialize(LOCK_BLOCK_EXPIRATION + 4u64);
         let curr_state = LoomStates::<TestRuntime>::get(&evm_network_id, &evm_session);
 
         assert_eq!(prev_state.root_hash, H256::default());
@@ -945,7 +950,8 @@ fn on_initialize_should_finalize_session_when_timeout_is_reached() {
     let networks = vec![(network_id, new_network_data, 0u64)];
 
     new_test_ext(authorities, networks).execute_with(|| {
-        let current_substrate_block = 10;
+        let current_substrate_block = LOCK_BLOCK_EXPIRATION + 10;
+
         GhostWeaver::on_initialize(current_substrate_block);
         System::set_block_number(current_substrate_block + 1);
 
@@ -1018,7 +1024,7 @@ fn on_initialize_should_update_at_block_when_threshold_reached_with_same_hash()
     let networks = vec![(network_id, new_network_data, 0u64)];
 
     new_test_ext(authorities, networks).execute_with(|| {
-        let current_substrate_block = 10;
+        let current_substrate_block = LOCK_BLOCK_EXPIRATION + 10;
         let current_session = CurrentWeavingSession::<TestRuntime>::get(&network_id);
 
         let target_hash = H256::repeat_byte(0xAA);
diff --git a/pallets/weaver/src/types.rs b/pallets/weaver/src/types.rs
index 29cde6c..ed560b8 100644
--- a/pallets/weaver/src/types.rs
+++ b/pallets/weaver/src/types.rs
@@ -36,6 +36,7 @@ const PROTOCOL_PREFIX: [u8; 7] = [0x69, 0x64, 0x2b, 0x5b, 0xb6, 0x66, 0xac];
 const PROTOCOL_PREFIX: [u8; 7] = [0x47, 0x48, 0x53, 0x54, 0x74, 0x6F, 0x3A];
 
 pub enum WeavingOk<NetworkId> {
+    Skipped(NetworkId),
     Block(ExternalBlockNumber, u32, NetworkId),
     Hash(ExternalBlockNumber, H256, WeavingSession, NetworkId),
 }
@@ -46,6 +47,7 @@ where
 {
     fn fmt(&self, fmt: &mut core::fmt::Formatter) -> core::fmt::Result {
         match self {
+            Self::Skipped(network_id) => write!(fmt, "Submission step skipped for network: {:?} based on probability distribution.", network_id),
             Self::Block(block, count, network_id) => write!(fmt, "Verified block height #{:?}  for network: {:?} based on {} parsed requests.", block, network_id, count),
             Self::Hash(block, hash, next_session, network_id) => write!(fmt, "Extracted Merkle Root {:?} (next session is {:?}) from block #{:?} for network: {:?}.", hash, next_session, block, network_id),
         }
diff --git a/runtime/casper/Cargo.toml b/runtime/casper/Cargo.toml
index b436f1f..f59e2d6 100644
--- a/runtime/casper/Cargo.toml
+++ b/runtime/casper/Cargo.toml
@@ -1,6 +1,6 @@
 [package]
 name = "casper-runtime"
-version = "4.0.17"
+version = "4.0.18"
 build = "build.rs"
 description = "Runtime of the Casper Network"
 edition.workspace = true
diff --git a/runtime/casper/src/lib.rs b/runtime/casper/src/lib.rs
index d62ad05..3291b00 100644
--- a/runtime/casper/src/lib.rs
+++ b/runtime/casper/src/lib.rs
@@ -124,7 +124,7 @@ pub const VERSION: RuntimeVersion = RuntimeVersion {
     spec_name: create_runtime_str!("casper"),
     impl_name: create_runtime_str!("casper-svengali"),
     authoring_version: 0,
-    spec_version: 10,
+    spec_version: 12,
     impl_version: 0,
     apis: RUNTIME_API_VERSIONS,
     transaction_version: 1,
@@ -1035,7 +1035,9 @@ pub type SignedExtra = (
 
 /// All migrations that will run on the next runtime upgrade.
 /// Should be cleared after release.
-pub type Migrations = ();
+pub type Migrations = (
+    ghost_weaver::migrations::MigrateV0ToV1,
+);
 
 /// Unchecked extrinsic type as expected by this runtime.
 pub type UncheckedExtrinsic =