{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:44EMINT53O2BMJVZ4Q5STTOQD4","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":"ef7b5c7acecb3d06a0cbf9456435737afb706856a39214c4a3502bec3e99d54d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-09-10T07:27:56Z","title_canon_sha256":"f6eb28c3c63e5153fef5bd9968600ebf4c9f0bf12594ec4183b7d30327143407"},"schema_version":"1.0","source":{"id":"2509.08341","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.08341","created_at":"2026-07-05T12:08:28Z"},{"alias_kind":"arxiv_version","alias_value":"2509.08341v1","created_at":"2026-07-05T12:08:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.08341","created_at":"2026-07-05T12:08:28Z"},{"alias_kind":"pith_short_12","alias_value":"44EMINT53O2B","created_at":"2026-07-05T12:08:28Z"},{"alias_kind":"pith_short_16","alias_value":"44EMINT53O2BMJVZ","created_at":"2026-07-05T12:08:28Z"},{"alias_kind":"pith_short_8","alias_value":"44EMINT5","created_at":"2026-07-05T12:08:28Z"}],"graph_snapshots":[{"event_id":"sha256:f9921cc2c22c7698d8fe9fe1b4070376e0b4b8cbb51409fc96ab9a375d24bf72","target":"graph","created_at":"2026-07-05T12:08:28Z","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/2509.08341/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper extends the study of arc crossing change, a local operation on knot diagrams recently introduced by Cericola, from knot diagrams to link diagrams. We consider two types of arc crossing change on link diagrams and discuss when they are unknotting operations. Furthermore, we show that any two crossing points in an alternating knot diagram are arc crossing change admissible.","authors_text":"Jingze Song, Qian Liao, Zhiyun Cheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-09-10T07:27:56Z","title":"When is arc crossing change an unknotting operation?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.08341","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":"sha256:355450232f85dfb3db022ac1b39cd262806b10ef9332bf358492c4df36ad5725","target":"record","created_at":"2026-07-05T12:08:28Z","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":"ef7b5c7acecb3d06a0cbf9456435737afb706856a39214c4a3502bec3e99d54d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-09-10T07:27:56Z","title_canon_sha256":"f6eb28c3c63e5153fef5bd9968600ebf4c9f0bf12594ec4183b7d30327143407"},"schema_version":"1.0","source":{"id":"2509.08341","kind":"arxiv","version":1}},"canonical_sha256":"e708c4367ddbb41626b9e43b29cdd01f394d380a71129cf4214439b9a299edce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e708c4367ddbb41626b9e43b29cdd01f394d380a71129cf4214439b9a299edce","first_computed_at":"2026-07-05T12:08:28.173653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:08:28.173653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oIkm+EuiZAgPsv0QYv8+RMVoiErHKsqHOWUe87JoCNcrJc5uEvj6T4PNln8VRNj6uTWMegI4lD0eGRNERMQpAA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:08:28.174091Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.08341","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:355450232f85dfb3db022ac1b39cd262806b10ef9332bf358492c4df36ad5725","sha256:f9921cc2c22c7698d8fe9fe1b4070376e0b4b8cbb51409fc96ab9a375d24bf72"],"state_sha256":"7e379c93a61fc4a92eb4531741a57a054a5c89b936e8f0415d05b5de12e97b1f"}