{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:V4OUSF32BLOHNAEJ7KAESXNZRO","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":"ee045b8841496f89006657b0b287a06668223b01bb5436e932a3b71b8daba897","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-02-21T15:25:26Z","title_canon_sha256":"8c5012b33d4fed1f430c0d8f4c33b4975eb50000f744c48d4a3750fc7d7ba66d"},"schema_version":"1.0","source":{"id":"1302.5303","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5303","created_at":"2026-05-18T03:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5303v2","created_at":"2026-05-18T03:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5303","created_at":"2026-05-18T03:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"V4OUSF32BLOH","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"V4OUSF32BLOHNAEJ","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"V4OUSF32","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:2d5bdce8e241921d10239011cc717ebd55218864f3b26ee4c9a5c36778e09a79","target":"graph","created_at":"2026-05-18T03:19:04Z","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":"Matveev introduced Borromean surgery on 3-manifolds, and proved that the equivalence relation on closed, oriented 3-manifolds generated by Borromean surgeries is characterized by the first homology group and the torsion linking pairing. Massuyeau generalized this result to closed, spin 3-manifolds, and the second author to compact, oriented 3-manifolds with boundary. In this paper we give a partial generalization of these results to compact, spin 3-manifolds with boundary.","authors_text":"Eva Contreras, Kazuo Habiro","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-02-21T15:25:26Z","title":"Borromean surgery equivalence of spin 3-manifolds with boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5303","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":"sha256:9d98a573d234b8b2c0855dfc3b794ad557273279f9b15d4d2789672b234900d4","target":"record","created_at":"2026-05-18T03:19:04Z","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":"ee045b8841496f89006657b0b287a06668223b01bb5436e932a3b71b8daba897","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-02-21T15:25:26Z","title_canon_sha256":"8c5012b33d4fed1f430c0d8f4c33b4975eb50000f744c48d4a3750fc7d7ba66d"},"schema_version":"1.0","source":{"id":"1302.5303","kind":"arxiv","version":2}},"canonical_sha256":"af1d49177a0adc768089fa80495db98b89d884bf63492d00d85ae0389cc1157e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af1d49177a0adc768089fa80495db98b89d884bf63492d00d85ae0389cc1157e","first_computed_at":"2026-05-18T03:19:04.369009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:04.369009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2N+LVmARbPSrp7y0OaOHLk/3ITTDlmoG2FigdTUWdu9lnzqoLQbnGneq0SAUIKXcCQPtlACCFu47oNw9FfFPAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:04.369603Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5303","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d98a573d234b8b2c0855dfc3b794ad557273279f9b15d4d2789672b234900d4","sha256:2d5bdce8e241921d10239011cc717ebd55218864f3b26ee4c9a5c36778e09a79"],"state_sha256":"4d09006db9069cec7719f28f6edb8dcdb6b3e9a1bb0ce402c71c940f92c60d4d"}