{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SXP2WHLV2SM4FGNQNVV42CQXYW","short_pith_number":"pith:SXP2WHLV","canonical_record":{"source":{"id":"1412.4627","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-15T15:02:02Z","cross_cats_sorted":[],"title_canon_sha256":"0bd1da65ed0fab9651bdf7b28efc1613dfb2bc444184951261726ecfc4ddbabe","abstract_canon_sha256":"9d033ba0a6087a1582de9fec0cc7a533aeb3a9678d60de01b06e34f10b055ce5"},"schema_version":"1.0"},"canonical_sha256":"95dfab1d75d499c299b06d6bcd0a17c58df428ced2b11f710fb39d6f60a76ca3","source":{"kind":"arxiv","id":"1412.4627","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4627","created_at":"2026-05-18T00:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4627v1","created_at":"2026-05-18T00:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4627","created_at":"2026-05-18T00:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"SXP2WHLV2SM4","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SXP2WHLV2SM4FGNQ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SXP2WHLV","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SXP2WHLV2SM4FGNQNVV42CQXYW","target":"record","payload":{"canonical_record":{"source":{"id":"1412.4627","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-15T15:02:02Z","cross_cats_sorted":[],"title_canon_sha256":"0bd1da65ed0fab9651bdf7b28efc1613dfb2bc444184951261726ecfc4ddbabe","abstract_canon_sha256":"9d033ba0a6087a1582de9fec0cc7a533aeb3a9678d60de01b06e34f10b055ce5"},"schema_version":"1.0"},"canonical_sha256":"95dfab1d75d499c299b06d6bcd0a17c58df428ced2b11f710fb39d6f60a76ca3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:15.927307Z","signature_b64":"4ZXE40nimKGZOLQ/lyiMLTr04jCwXttnkYwFJnVtgefvAA6N3j7CxFlW7SSU5HsGTVhtm0rOPIEaDYV4JQ8CBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95dfab1d75d499c299b06d6bcd0a17c58df428ced2b11f710fb39d6f60a76ca3","last_reissued_at":"2026-05-18T00:29:15.926689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:15.926689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.4627","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gb0LzN0Z1SjgBRJlLN21zUTWLUxeytiuqjKzGAKFiZ991DtKUynd6N7rDLwcOOlNGFyUATfHjnLdP+stKscWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T06:39:59.286968Z"},"content_sha256":"770bbe888d34900d1b67d6c7cabef2f69b15b95832b67f7c547dff70aaf3284a","schema_version":"1.0","event_id":"sha256:770bbe888d34900d1b67d6c7cabef2f69b15b95832b67f7c547dff70aaf3284a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SXP2WHLV2SM4FGNQNVV42CQXYW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Realizing isomorphisms between first homology groups of closed 3-manifolds by borromean surgeries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Delphine Moussard","submitted_at":"2014-12-15T15:02:02Z","abstract_excerpt":"We refine Matveev's result asserting that any two closed oriented 3-manifolds can be related by a sequence of borromean surgeries if and only if they have isomorphic first homology groups and linking pairings. Indeed, a borromean surgery induces a canonical isomorphism between the first homology groups of the involved 3-manifolds, which preserves the linking pairing. We prove that any such isomorphism is induced by a sequence of borromean surgeries. As an intermediate result, we prove that a given algebraic square finite presentation of the first homology group of a 3-manifold, which encodes t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4627","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CFYXgfdwZAEMaRd8Cq/PMYyb8PPHNWX3qhg6GMPAJvQpgqdEIFoDYUMaCfO8vtC4VQd14BSTEczPXiP0pO0DAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T06:39:59.287311Z"},"content_sha256":"853a130e082513936bd38561c348be7e0cbb6ee7ce7e7a2c585d4aa48bebd7e0","schema_version":"1.0","event_id":"sha256:853a130e082513936bd38561c348be7e0cbb6ee7ce7e7a2c585d4aa48bebd7e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SXP2WHLV2SM4FGNQNVV42CQXYW/bundle.json","state_url":"https://pith.science/pith/SXP2WHLV2SM4FGNQNVV42CQXYW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SXP2WHLV2SM4FGNQNVV42CQXYW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T06:39:59Z","links":{"resolver":"https://pith.science/pith/SXP2WHLV2SM4FGNQNVV42CQXYW","bundle":"https://pith.science/pith/SXP2WHLV2SM4FGNQNVV42CQXYW/bundle.json","state":"https://pith.science/pith/SXP2WHLV2SM4FGNQNVV42CQXYW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SXP2WHLV2SM4FGNQNVV42CQXYW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SXP2WHLV2SM4FGNQNVV42CQXYW","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":"9d033ba0a6087a1582de9fec0cc7a533aeb3a9678d60de01b06e34f10b055ce5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-15T15:02:02Z","title_canon_sha256":"0bd1da65ed0fab9651bdf7b28efc1613dfb2bc444184951261726ecfc4ddbabe"},"schema_version":"1.0","source":{"id":"1412.4627","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4627","created_at":"2026-05-18T00:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4627v1","created_at":"2026-05-18T00:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4627","created_at":"2026-05-18T00:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"SXP2WHLV2SM4","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SXP2WHLV2SM4FGNQ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SXP2WHLV","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:853a130e082513936bd38561c348be7e0cbb6ee7ce7e7a2c585d4aa48bebd7e0","target":"graph","created_at":"2026-05-18T00:29:15Z","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 refine Matveev's result asserting that any two closed oriented 3-manifolds can be related by a sequence of borromean surgeries if and only if they have isomorphic first homology groups and linking pairings. Indeed, a borromean surgery induces a canonical isomorphism between the first homology groups of the involved 3-manifolds, which preserves the linking pairing. We prove that any such isomorphism is induced by a sequence of borromean surgeries. As an intermediate result, we prove that a given algebraic square finite presentation of the first homology group of a 3-manifold, which encodes t","authors_text":"Delphine Moussard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-15T15:02:02Z","title":"Realizing isomorphisms between first homology groups of closed 3-manifolds by borromean surgeries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4627","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":"sha256:770bbe888d34900d1b67d6c7cabef2f69b15b95832b67f7c547dff70aaf3284a","target":"record","created_at":"2026-05-18T00:29:15Z","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":"9d033ba0a6087a1582de9fec0cc7a533aeb3a9678d60de01b06e34f10b055ce5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-12-15T15:02:02Z","title_canon_sha256":"0bd1da65ed0fab9651bdf7b28efc1613dfb2bc444184951261726ecfc4ddbabe"},"schema_version":"1.0","source":{"id":"1412.4627","kind":"arxiv","version":1}},"canonical_sha256":"95dfab1d75d499c299b06d6bcd0a17c58df428ced2b11f710fb39d6f60a76ca3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95dfab1d75d499c299b06d6bcd0a17c58df428ced2b11f710fb39d6f60a76ca3","first_computed_at":"2026-05-18T00:29:15.926689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:15.926689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4ZXE40nimKGZOLQ/lyiMLTr04jCwXttnkYwFJnVtgefvAA6N3j7CxFlW7SSU5HsGTVhtm0rOPIEaDYV4JQ8CBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:15.927307Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4627","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:770bbe888d34900d1b67d6c7cabef2f69b15b95832b67f7c547dff70aaf3284a","sha256:853a130e082513936bd38561c348be7e0cbb6ee7ce7e7a2c585d4aa48bebd7e0"],"state_sha256":"b47085630c50fc19c915ec6d791b2571c1ddfcde12d54a4d65bb691596196c93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FgK8OTQ4vZEh0hku+eFuozhAHAnHmj8+Lu3BAZrPPPc8EBPSlw71oBBIPjwL5uvcJJRhAliEAABTHbaAoRwYCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T06:39:59.289234Z","bundle_sha256":"abde5545631232bb1ee0531dd1a7aaea395db1088d0a877b6810402ec182bf7b"}}