{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OPJH2KKB4BOEAXN7P3TJTVGL44","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":"d1974cccf3567501200ee03df93b25c988f88bae0db551ea0ca74df795a713f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-03-10T20:44:33Z","title_canon_sha256":"ea6b3a1f39babd3197f521860ae78c2f1245b7fc7de6f7d4a800fc86274d191a"},"schema_version":"1.0","source":{"id":"1503.03092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03092","created_at":"2026-05-18T00:44:28Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03092v2","created_at":"2026-05-18T00:44:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03092","created_at":"2026-05-18T00:44:28Z"},{"alias_kind":"pith_short_12","alias_value":"OPJH2KKB4BOE","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OPJH2KKB4BOEAXN7","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OPJH2KKB","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:bec0dd9e9b766dc059eaaab617417955ab36cbbdc7b287e735dd327fcdc97c4b","target":"graph","created_at":"2026-05-18T00:44:28Z","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"},"paper":{"abstract_excerpt":"We generalise theorems of Cochran-Lickorish and Owens-Strle to the case of links with more than one component. This enables the use of linking forms on double branched covers, Heegaard Floer correction terms, and Donaldson's diagonalisation theorem to complete the table of unlinking numbers for nonsplit prime links with crossing number nine or less.","authors_text":"Brendan Owens, Matthias Nagel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-03-10T20:44:33Z","title":"Unlinking information from 4-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03092","kind":"arxiv","version":2},"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":"sha256:96aab7b13b7efcfa6b4d0dc64fc56c37a8bc7a020833e8adda01f637090686ef","target":"record","created_at":"2026-05-18T00:44:28Z","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":"d1974cccf3567501200ee03df93b25c988f88bae0db551ea0ca74df795a713f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-03-10T20:44:33Z","title_canon_sha256":"ea6b3a1f39babd3197f521860ae78c2f1245b7fc7de6f7d4a800fc86274d191a"},"schema_version":"1.0","source":{"id":"1503.03092","kind":"arxiv","version":2}},"canonical_sha256":"73d27d2941e05c405dbf7ee699d4cbe700325fb47cc8a165af34638066d084d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73d27d2941e05c405dbf7ee699d4cbe700325fb47cc8a165af34638066d084d4","first_computed_at":"2026-05-18T00:44:28.455719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:28.455719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"svxYDSGAKRZmibzwXBRtiwHBFPBchBLfUuzEa9D2ZRPF3lmWKPdiRPPm1AARpGyN4PMY6RUaL8VFTTYItJBaBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:28.456262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.03092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96aab7b13b7efcfa6b4d0dc64fc56c37a8bc7a020833e8adda01f637090686ef","sha256:bec0dd9e9b766dc059eaaab617417955ab36cbbdc7b287e735dd327fcdc97c4b"],"state_sha256":"8b4d11f746196e057ea2b861e875adb6dad8787e481a66f590ec02f504f07327"}