{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6NWCYEZPGN7CA2NINFVWXGP7SN","short_pith_number":"pith:6NWCYEZP","canonical_record":{"source":{"id":"1605.00854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-04-28T16:29:39Z","cross_cats_sorted":["cs.AI","q-bio.QM"],"title_canon_sha256":"8ae5114f1f9fc18641abc2e7d2a4022b4a5c96ae5449ffec282a7799a3e4044b","abstract_canon_sha256":"59d917b358d487760f46237bc21c8c27f5c5127c7ac18c20f0be5a9ff79e722a"},"schema_version":"1.0"},"canonical_sha256":"f36c2c132f337e2069a8696b6b99ff935ce8016d4921964393d945210f157147","source":{"kind":"arxiv","id":"1605.00854","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00854","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00854v1","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00854","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"pith_short_12","alias_value":"6NWCYEZPGN7C","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6NWCYEZPGN7CA2NI","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6NWCYEZP","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6NWCYEZPGN7CA2NINFVWXGP7SN","target":"record","payload":{"canonical_record":{"source":{"id":"1605.00854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-04-28T16:29:39Z","cross_cats_sorted":["cs.AI","q-bio.QM"],"title_canon_sha256":"8ae5114f1f9fc18641abc2e7d2a4022b4a5c96ae5449ffec282a7799a3e4044b","abstract_canon_sha256":"59d917b358d487760f46237bc21c8c27f5c5127c7ac18c20f0be5a9ff79e722a"},"schema_version":"1.0"},"canonical_sha256":"f36c2c132f337e2069a8696b6b99ff935ce8016d4921964393d945210f157147","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:47.853750Z","signature_b64":"ALz8Tv29VdZKs/yeb+3naPtKUaHOpO0aXKUKbjFdetUZ+aq7AqFGssraMxoquOX+uYXuEd2jTGp7dJYGDsbzCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f36c2c132f337e2069a8696b6b99ff935ce8016d4921964393d945210f157147","last_reissued_at":"2026-05-18T01:15:47.853057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:47.853057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.00854","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"somMu84tJ6d8QbKLfOWvw7Nd+7/M/71APKuZYJfvUXdWTR3sqn0ZUdWON8uEgOGm5HlKXJii+Bo/Q5oWnVqkCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:12:49.895444Z"},"content_sha256":"025c19aef871884ab14feda85fb67c1a745bd5744ec12d802feb2229539249e6","schema_version":"1.0","event_id":"sha256:025c19aef871884ab14feda85fb67c1a745bd5744ec12d802feb2229539249e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6NWCYEZPGN7CA2NINFVWXGP7SN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fast Simulation of Probabilistic Boolean Networks (Technical Report)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","q-bio.QM"],"primary_cat":"cs.CE","authors_text":"Andrzej Mizera, Jun Pang, Qixia Yuan","submitted_at":"2016-04-28T16:29:39Z","abstract_excerpt":"Probabilistic Boolean networks (PBNs) is an important mathematical framework widely used for modelling and analysing biological systems. PBNs are suited for modelling large biological systems, which more and more often arise in systems biology. However, the large system size poses a~significant challenge to the analysis of PBNs, in particular, to the crucial analysis of their steady-state behaviour. Numerical methods for performing steady-state analyses suffer from the state-space explosion problem, which makes the utilisation of statistical methods the only viable approach. However, such meth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00854","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bpPdSkTMSE+JAFOLj12Dca12Igq+mdTTAD4RymjzyTa6gMmQLyGxG2fa8ULjiv8fgTyfsPO7oxRMXf9mMaY4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:12:49.895792Z"},"content_sha256":"09f314cc7d4844449b2067bb02035d9e7279b70eed96bdcc08b53c107e09aae3","schema_version":"1.0","event_id":"sha256:09f314cc7d4844449b2067bb02035d9e7279b70eed96bdcc08b53c107e09aae3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6NWCYEZPGN7CA2NINFVWXGP7SN/bundle.json","state_url":"https://pith.science/pith/6NWCYEZPGN7CA2NINFVWXGP7SN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6NWCYEZPGN7CA2NINFVWXGP7SN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T11:12:49Z","links":{"resolver":"https://pith.science/pith/6NWCYEZPGN7CA2NINFVWXGP7SN","bundle":"https://pith.science/pith/6NWCYEZPGN7CA2NINFVWXGP7SN/bundle.json","state":"https://pith.science/pith/6NWCYEZPGN7CA2NINFVWXGP7SN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6NWCYEZPGN7CA2NINFVWXGP7SN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6NWCYEZPGN7CA2NINFVWXGP7SN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"59d917b358d487760f46237bc21c8c27f5c5127c7ac18c20f0be5a9ff79e722a","cross_cats_sorted":["cs.AI","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-04-28T16:29:39Z","title_canon_sha256":"8ae5114f1f9fc18641abc2e7d2a4022b4a5c96ae5449ffec282a7799a3e4044b"},"schema_version":"1.0","source":{"id":"1605.00854","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00854","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00854v1","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00854","created_at":"2026-05-18T01:15:47Z"},{"alias_kind":"pith_short_12","alias_value":"6NWCYEZPGN7C","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6NWCYEZPGN7CA2NI","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6NWCYEZP","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:09f314cc7d4844449b2067bb02035d9e7279b70eed96bdcc08b53c107e09aae3","target":"graph","created_at":"2026-05-18T01:15:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Probabilistic Boolean networks (PBNs) is an important mathematical framework widely used for modelling and analysing biological systems. PBNs are suited for modelling large biological systems, which more and more often arise in systems biology. However, the large system size poses a~significant challenge to the analysis of PBNs, in particular, to the crucial analysis of their steady-state behaviour. Numerical methods for performing steady-state analyses suffer from the state-space explosion problem, which makes the utilisation of statistical methods the only viable approach. However, such meth","authors_text":"Andrzej Mizera, Jun Pang, Qixia Yuan","cross_cats":["cs.AI","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-04-28T16:29:39Z","title":"Fast Simulation of Probabilistic Boolean Networks (Technical Report)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00854","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:025c19aef871884ab14feda85fb67c1a745bd5744ec12d802feb2229539249e6","target":"record","created_at":"2026-05-18T01:15:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"59d917b358d487760f46237bc21c8c27f5c5127c7ac18c20f0be5a9ff79e722a","cross_cats_sorted":["cs.AI","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-04-28T16:29:39Z","title_canon_sha256":"8ae5114f1f9fc18641abc2e7d2a4022b4a5c96ae5449ffec282a7799a3e4044b"},"schema_version":"1.0","source":{"id":"1605.00854","kind":"arxiv","version":1}},"canonical_sha256":"f36c2c132f337e2069a8696b6b99ff935ce8016d4921964393d945210f157147","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f36c2c132f337e2069a8696b6b99ff935ce8016d4921964393d945210f157147","first_computed_at":"2026-05-18T01:15:47.853057Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:47.853057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ALz8Tv29VdZKs/yeb+3naPtKUaHOpO0aXKUKbjFdetUZ+aq7AqFGssraMxoquOX+uYXuEd2jTGp7dJYGDsbzCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:47.853750Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.00854","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:025c19aef871884ab14feda85fb67c1a745bd5744ec12d802feb2229539249e6","sha256:09f314cc7d4844449b2067bb02035d9e7279b70eed96bdcc08b53c107e09aae3"],"state_sha256":"df993cec8543345c3e0c91143068f45d97313d15c492150086b1d057ddacda88"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dOx0a0MoUh2TAqi1fzvCPCIcBQgSxGYc4FQP+YbAvFvwQrKNN2osAWs5o+waH/YJ+4YfmNUr1CI2+Uypjg/iCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:12:49.897906Z","bundle_sha256":"33120d957ee0346ba2d34f79cb071a42e5c26b005861037a8e21037c999843c5"}}