{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:MJPV6S4FU5ZYV6UZW4GJRGF2EM","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":"1ee82d2f1a452d7290b2530edd281a3e9475440649d20f5877bc7f65f68fca3e","cross_cats_sorted":["physics.class-ph"],"license":"","primary_cat":"physics.comp-ph","submitted_at":"2001-03-26T09:25:15Z","title_canon_sha256":"e559d862187c7e0ccdaff39e79f961d7aa0e85340d5cc7d48035399980c487ca"},"schema_version":"1.0","source":{"id":"physics/0103080","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0103080","created_at":"2026-07-04T14:43:25Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0103080v1","created_at":"2026-07-04T14:43:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0103080","created_at":"2026-07-04T14:43:25Z"},{"alias_kind":"pith_short_12","alias_value":"MJPV6S4FU5ZY","created_at":"2026-07-04T14:43:25Z"},{"alias_kind":"pith_short_16","alias_value":"MJPV6S4FU5ZYV6UZ","created_at":"2026-07-04T14:43:25Z"},{"alias_kind":"pith_short_8","alias_value":"MJPV6S4F","created_at":"2026-07-04T14:43:25Z"}],"graph_snapshots":[{"event_id":"sha256:4f86d53b4079481fb86e401fa88db60558744416a44f7ea1fc063301992d0b1b","target":"graph","created_at":"2026-07-04T14:43:25Z","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/physics/0103080/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Numerical simulations indicate that there exist conformations of the unknot, tied on a finite piece of rope, entangled in such a manner, that they cannot be disentangled to the torus conformation without cutting the rope. The simplest example of such a gordian unknot is presented.","authors_text":"A. Stasiak, P. Pieranski, S. Przybyl","cross_cats":["physics.class-ph"],"headline":"","license":"","primary_cat":"physics.comp-ph","submitted_at":"2001-03-26T09:25:15Z","title":"Gordian Unknots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0103080","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:bd4b2cf0c69c1fe40ef94b60eb4f24651e9c075fedaa8342beb9d043c753476d","target":"record","created_at":"2026-07-04T14:43:25Z","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":"1ee82d2f1a452d7290b2530edd281a3e9475440649d20f5877bc7f65f68fca3e","cross_cats_sorted":["physics.class-ph"],"license":"","primary_cat":"physics.comp-ph","submitted_at":"2001-03-26T09:25:15Z","title_canon_sha256":"e559d862187c7e0ccdaff39e79f961d7aa0e85340d5cc7d48035399980c487ca"},"schema_version":"1.0","source":{"id":"physics/0103080","kind":"arxiv","version":1}},"canonical_sha256":"625f5f4b85a7738afa99b70c9898ba23323f83f792c616839678db4a48b381ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"625f5f4b85a7738afa99b70c9898ba23323f83f792c616839678db4a48b381ce","first_computed_at":"2026-07-04T14:43:25.522336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:43:25.522336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bo7MwE38zztBjCeXsi7QROoqzBF1auB+QrCV/VOPf82UclsX50gl/JDQRDQiCNz/fT9XapzHKEIIJ2oPWTjzCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:43:25.522690Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0103080","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd4b2cf0c69c1fe40ef94b60eb4f24651e9c075fedaa8342beb9d043c753476d","sha256:4f86d53b4079481fb86e401fa88db60558744416a44f7ea1fc063301992d0b1b"],"state_sha256":"a07fccfbfe34e47cde76de9ba2d252bf90ff3a9cc8ad26c71f59f890ca4e9e31"}