{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:B4TOXZEVIJXPXW5M45T6FMLQZ2","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":"db6510a83d5ac808a12498fc64bde6c219dcbeb7a224c91d78261d88f7c2d07a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2025-12-17T15:38:26Z","title_canon_sha256":"2f5ba67259172fa0d898a12355256640b672c5fbe26abb3da39c784fb4aa9b1f"},"schema_version":"1.0","source":{"id":"2512.15534","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.15534","created_at":"2026-05-27T02:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"2512.15534v3","created_at":"2026-05-27T02:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.15534","created_at":"2026-05-27T02:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"B4TOXZEVIJXP","created_at":"2026-05-27T02:05:09Z"},{"alias_kind":"pith_short_16","alias_value":"B4TOXZEVIJXPXW5M","created_at":"2026-05-27T02:05:09Z"},{"alias_kind":"pith_short_8","alias_value":"B4TOXZEV","created_at":"2026-05-27T02:05:09Z"}],"graph_snapshots":[{"event_id":"sha256:591d2fa2c31d4547cd41afc96d848b578228a5cce6fe940b24723b8b9d5f5332","target":"graph","created_at":"2026-05-27T02:05:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2512.15534/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Discrete dynamical models underpin systems biology, but we still lack substrate-agnostic diagnostics for identifying finite-horizon dynamical signatures that may be relevant to open-ended evolution (OEE), such as the recurrent production of novel phenotypic states rather than rapid settling or unstructured noise. We introduce a simple, model-independent metric, {\\Omega}, that summarizes the residence-time-weighted contribution of attractor cycle lengths across the sequence of recurrent episodes realized within a finite observation window. {\\Omega} is zero for single-attractor dynamics and also","authors_text":"Amahury J. L\\'opez-D\\'iaz, Carlos Gershenson, Gerardo L. Febres, Pedro Juan Rivera Torres","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2025-12-17T15:38:26Z","title":"Characterizing Open-Ended Evolution Through Undecidability Mechanisms in Random Boolean Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.15534","kind":"arxiv","version":3},"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":"sha256:101b70bd11622660c45ec0b0385ee197d3cbd351c2cd94447d810129f6259a68","target":"record","created_at":"2026-05-27T02:05:09Z","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":"db6510a83d5ac808a12498fc64bde6c219dcbeb7a224c91d78261d88f7c2d07a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2025-12-17T15:38:26Z","title_canon_sha256":"2f5ba67259172fa0d898a12355256640b672c5fbe26abb3da39c784fb4aa9b1f"},"schema_version":"1.0","source":{"id":"2512.15534","kind":"arxiv","version":3}},"canonical_sha256":"0f26ebe495426efbdbace767e2b170ceb52c0b173c1cf6204d41ba3af9ad796e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f26ebe495426efbdbace767e2b170ceb52c0b173c1cf6204d41ba3af9ad796e","first_computed_at":"2026-05-27T02:05:09.307999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-27T02:05:09.307999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OdLHsXlW7jqQJKvehTram9sAXEgAANOXqnwh1PgoBK2cv+cUhW1FlpxJPnLyWpyf8MWeIv9rB/hWQ6rzL6F4Cg==","signature_status":"signed_v1","signed_at":"2026-05-27T02:05:09.308867Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.15534","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:101b70bd11622660c45ec0b0385ee197d3cbd351c2cd94447d810129f6259a68","sha256:591d2fa2c31d4547cd41afc96d848b578228a5cce6fe940b24723b8b9d5f5332"],"state_sha256":"51c11d9cf8cf86079f8c9cde7fe2a80b526f67a97d8d078d739d741a4fbf0ab8"}