{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3OBTGN2WBBIJHWYKRSVCBUUULM","short_pith_number":"pith:3OBTGN2W","canonical_record":{"source":{"id":"1310.1338","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-04T17:14:12Z","cross_cats_sorted":["nlin.CG"],"title_canon_sha256":"3981cde7e5556803a1403b5ff1ed1be62e58e86ca0dc26f6b9d54301b267aa53","abstract_canon_sha256":"607438a773dba4c72c0d168ccfbe95fa9fe5360256eb47e57c4f76c29271b9e0"},"schema_version":"1.0"},"canonical_sha256":"db83333756085093db0a8caa20d2945b23384494072fc5843a99e555376029fd","source":{"kind":"arxiv","id":"1310.1338","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1338","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1338v1","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1338","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"pith_short_12","alias_value":"3OBTGN2WBBIJ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3OBTGN2WBBIJHWYK","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3OBTGN2W","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3OBTGN2WBBIJHWYKRSVCBUUULM","target":"record","payload":{"canonical_record":{"source":{"id":"1310.1338","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-04T17:14:12Z","cross_cats_sorted":["nlin.CG"],"title_canon_sha256":"3981cde7e5556803a1403b5ff1ed1be62e58e86ca0dc26f6b9d54301b267aa53","abstract_canon_sha256":"607438a773dba4c72c0d168ccfbe95fa9fe5360256eb47e57c4f76c29271b9e0"},"schema_version":"1.0"},"canonical_sha256":"db83333756085093db0a8caa20d2945b23384494072fc5843a99e555376029fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:36.835333Z","signature_b64":"Pz1O/2LrxbCJn33ah6xe7Kjs4He8dqoUqjsP+I825j77YTU9AwdIFtT/npQYDKPvYZu9xG59vh160DXKJLkFAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db83333756085093db0a8caa20d2945b23384494072fc5843a99e555376029fd","last_reissued_at":"2026-05-18T02:43:36.834582Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:36.834582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.1338","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":"2026-05-18T02:43:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pk5WKvFabIlaOW8lb9lKM2G3aXuQqhx+W39J7TqgFS/S3mHr/qDF19OXi4kmAH7EX//jSvYwcI6g59j21L28Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:00:33.316017Z"},"content_sha256":"b3347c9995727b74fdacfc1cf4941da6f16d2fbb96e11bfa7c476b0dd1455996","schema_version":"1.0","event_id":"sha256:b3347c9995727b74fdacfc1cf4941da6f16d2fbb96e11bfa7c476b0dd1455996"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3OBTGN2WBBIJHWYKRSVCBUUULM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of Boolean networks: The joint effects of topology and update rules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CG"],"primary_cat":"physics.soc-ph","authors_text":"Andrew Pomerance, Edward Ott, Michelle Girvan, Shane Squires","submitted_at":"2013-10-04T17:14:12Z","abstract_excerpt":"We study the stability of orbits in large Boolean networks with given complex topology. We impose no restrictions on the form of the update rules, which may be correlated with local topological properties of the network. While recent past work has addressed the separate effects of nontrivial network topology and certain special classes of update rules on stability, only crude results exist about how these effects interact. We present a widely applicable solution to this problem. Numerical experiments confirm our theory and show that local correlations between topology and update rules can have"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1338","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":"2026-05-18T02:43:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wc5x5Z5CD/zmgor4NZwWVCL1eDO9YEIVvD0YwXTgjhvYZlGDmdWeXBoptqMI3N9xNf46GdWKGfCEsWZVmVyiBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:00:33.316429Z"},"content_sha256":"80069a18fdddf33e63a5be4f3276af7b24819366d427f47909c58c4dd3c53ac0","schema_version":"1.0","event_id":"sha256:80069a18fdddf33e63a5be4f3276af7b24819366d427f47909c58c4dd3c53ac0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3OBTGN2WBBIJHWYKRSVCBUUULM/bundle.json","state_url":"https://pith.science/pith/3OBTGN2WBBIJHWYKRSVCBUUULM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3OBTGN2WBBIJHWYKRSVCBUUULM/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":"2026-05-28T20:00:33Z","links":{"resolver":"https://pith.science/pith/3OBTGN2WBBIJHWYKRSVCBUUULM","bundle":"https://pith.science/pith/3OBTGN2WBBIJHWYKRSVCBUUULM/bundle.json","state":"https://pith.science/pith/3OBTGN2WBBIJHWYKRSVCBUUULM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3OBTGN2WBBIJHWYKRSVCBUUULM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3OBTGN2WBBIJHWYKRSVCBUUULM","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":"607438a773dba4c72c0d168ccfbe95fa9fe5360256eb47e57c4f76c29271b9e0","cross_cats_sorted":["nlin.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-04T17:14:12Z","title_canon_sha256":"3981cde7e5556803a1403b5ff1ed1be62e58e86ca0dc26f6b9d54301b267aa53"},"schema_version":"1.0","source":{"id":"1310.1338","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1338","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1338v1","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1338","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"pith_short_12","alias_value":"3OBTGN2WBBIJ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3OBTGN2WBBIJHWYK","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3OBTGN2W","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:80069a18fdddf33e63a5be4f3276af7b24819366d427f47909c58c4dd3c53ac0","target":"graph","created_at":"2026-05-18T02:43:36Z","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":"We study the stability of orbits in large Boolean networks with given complex topology. We impose no restrictions on the form of the update rules, which may be correlated with local topological properties of the network. While recent past work has addressed the separate effects of nontrivial network topology and certain special classes of update rules on stability, only crude results exist about how these effects interact. We present a widely applicable solution to this problem. Numerical experiments confirm our theory and show that local correlations between topology and update rules can have","authors_text":"Andrew Pomerance, Edward Ott, Michelle Girvan, Shane Squires","cross_cats":["nlin.CG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-04T17:14:12Z","title":"Stability of Boolean networks: The joint effects of topology and update rules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1338","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:b3347c9995727b74fdacfc1cf4941da6f16d2fbb96e11bfa7c476b0dd1455996","target":"record","created_at":"2026-05-18T02:43:36Z","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":"607438a773dba4c72c0d168ccfbe95fa9fe5360256eb47e57c4f76c29271b9e0","cross_cats_sorted":["nlin.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-04T17:14:12Z","title_canon_sha256":"3981cde7e5556803a1403b5ff1ed1be62e58e86ca0dc26f6b9d54301b267aa53"},"schema_version":"1.0","source":{"id":"1310.1338","kind":"arxiv","version":1}},"canonical_sha256":"db83333756085093db0a8caa20d2945b23384494072fc5843a99e555376029fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db83333756085093db0a8caa20d2945b23384494072fc5843a99e555376029fd","first_computed_at":"2026-05-18T02:43:36.834582Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:36.834582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pz1O/2LrxbCJn33ah6xe7Kjs4He8dqoUqjsP+I825j77YTU9AwdIFtT/npQYDKPvYZu9xG59vh160DXKJLkFAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:36.835333Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1338","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3347c9995727b74fdacfc1cf4941da6f16d2fbb96e11bfa7c476b0dd1455996","sha256:80069a18fdddf33e63a5be4f3276af7b24819366d427f47909c58c4dd3c53ac0"],"state_sha256":"1be260af9ea97d9a99c335ac0b29745574d5b6d372bfc4fe2f933258d273afcb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"atlP+1afjUJ8TnmrTlSJdJOSnTmUk6q/Xg+1GY8VfeDhfPzXx39rMHNvRJmYzcGMywYzMd6tKl7980NE07x/Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T20:00:33.319918Z","bundle_sha256":"7d5e9b3f348a461a037bcba4e0dbfe3b6077efccf58d0a7409e9075e24adf43a"}}