{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3F7ZSGOVIMTQM3E2OX5TDOBCOY","short_pith_number":"pith:3F7ZSGOV","canonical_record":{"source":{"id":"1305.6542","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-28T15:49:51Z","cross_cats_sorted":[],"title_canon_sha256":"c3a60a402a8e57d4c230d21bf17411d41113780723024bc88952b155957dcb7f","abstract_canon_sha256":"43136642d3683174bee0e29d6cba83f1d24d04aa06063bdbe1686a2e370a24c0"},"schema_version":"1.0"},"canonical_sha256":"d97f9919d54327066c9a75fb31b82276211519bd5b1c6601aa55c85b5c7264c3","source":{"kind":"arxiv","id":"1305.6542","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.6542","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"arxiv_version","alias_value":"1305.6542v1","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6542","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"pith_short_12","alias_value":"3F7ZSGOVIMTQ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3F7ZSGOVIMTQM3E2","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3F7ZSGOV","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3F7ZSGOVIMTQM3E2OX5TDOBCOY","target":"record","payload":{"canonical_record":{"source":{"id":"1305.6542","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-28T15:49:51Z","cross_cats_sorted":[],"title_canon_sha256":"c3a60a402a8e57d4c230d21bf17411d41113780723024bc88952b155957dcb7f","abstract_canon_sha256":"43136642d3683174bee0e29d6cba83f1d24d04aa06063bdbe1686a2e370a24c0"},"schema_version":"1.0"},"canonical_sha256":"d97f9919d54327066c9a75fb31b82276211519bd5b1c6601aa55c85b5c7264c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:40.494542Z","signature_b64":"QX/C6rqPjr87kcON9KPG3MTVIkhnexyKb9QPyQl8q4lemwnQL++V8NEaivTplQbt3+v6o+PWwF0qp3273R34DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d97f9919d54327066c9a75fb31b82276211519bd5b1c6601aa55c85b5c7264c3","last_reissued_at":"2026-05-18T03:24:40.493909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:40.493909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.6542","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":"2026-05-18T03:24:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WMssPloVijr+CQ9ldQjGS8sIyDgCMQbGbjTykuLLx48ior4B2zo6z7Ww9dMGvl9p22I/xChhpJAMiyCevPwOAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:32:51.291053Z"},"content_sha256":"5ab33af8a3474e7dc1b0f574078d528d1f800a8af70b77f20e0a32728930887a","schema_version":"1.0","event_id":"sha256:5ab33af8a3474e7dc1b0f574078d528d1f800a8af70b77f20e0a32728930887a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3F7ZSGOVIMTQM3E2OX5TDOBCOY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Surfaces in 4-manifolds: Concordance, Isotopy, and Surgery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Nathan Sunukjian","submitted_at":"2013-05-28T15:49:51Z","abstract_excerpt":"In this paper we will show that two surfaces of the same genus and homology class in a simply connected 4-manifold are concordant. We will show they are often topologically isotopic when their complements have cyclic fundamental group. Finally, we will show that if they are 0-concordant, then surgery on one is equivalent to surgery on the other."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6542","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":"2026-05-18T03:24:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EzqBFd3wHfbTpN5NHyXfkOka6K2Juam14qqb6BY4y3xLJ/bIKvliSLaFS9ZBv9GWBABTMfFxmeTMopx5WkVBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:32:51.291421Z"},"content_sha256":"6b7d7f617bbd9d883ce0af2f73130fa8f6d9d293f809b3c39b4a74891e406dc9","schema_version":"1.0","event_id":"sha256:6b7d7f617bbd9d883ce0af2f73130fa8f6d9d293f809b3c39b4a74891e406dc9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3F7ZSGOVIMTQM3E2OX5TDOBCOY/bundle.json","state_url":"https://pith.science/pith/3F7ZSGOVIMTQM3E2OX5TDOBCOY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3F7ZSGOVIMTQM3E2OX5TDOBCOY/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":"2026-05-27T17:32:51Z","links":{"resolver":"https://pith.science/pith/3F7ZSGOVIMTQM3E2OX5TDOBCOY","bundle":"https://pith.science/pith/3F7ZSGOVIMTQM3E2OX5TDOBCOY/bundle.json","state":"https://pith.science/pith/3F7ZSGOVIMTQM3E2OX5TDOBCOY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3F7ZSGOVIMTQM3E2OX5TDOBCOY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3F7ZSGOVIMTQM3E2OX5TDOBCOY","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":"43136642d3683174bee0e29d6cba83f1d24d04aa06063bdbe1686a2e370a24c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-28T15:49:51Z","title_canon_sha256":"c3a60a402a8e57d4c230d21bf17411d41113780723024bc88952b155957dcb7f"},"schema_version":"1.0","source":{"id":"1305.6542","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.6542","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"arxiv_version","alias_value":"1305.6542v1","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6542","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"pith_short_12","alias_value":"3F7ZSGOVIMTQ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3F7ZSGOVIMTQM3E2","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3F7ZSGOV","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:6b7d7f617bbd9d883ce0af2f73130fa8f6d9d293f809b3c39b4a74891e406dc9","target":"graph","created_at":"2026-05-18T03:24:40Z","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":"In this paper we will show that two surfaces of the same genus and homology class in a simply connected 4-manifold are concordant. We will show they are often topologically isotopic when their complements have cyclic fundamental group. Finally, we will show that if they are 0-concordant, then surgery on one is equivalent to surgery on the other.","authors_text":"Nathan Sunukjian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-28T15:49:51Z","title":"Surfaces in 4-manifolds: Concordance, Isotopy, and Surgery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6542","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":"sha256:5ab33af8a3474e7dc1b0f574078d528d1f800a8af70b77f20e0a32728930887a","target":"record","created_at":"2026-05-18T03:24:40Z","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":"43136642d3683174bee0e29d6cba83f1d24d04aa06063bdbe1686a2e370a24c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-05-28T15:49:51Z","title_canon_sha256":"c3a60a402a8e57d4c230d21bf17411d41113780723024bc88952b155957dcb7f"},"schema_version":"1.0","source":{"id":"1305.6542","kind":"arxiv","version":1}},"canonical_sha256":"d97f9919d54327066c9a75fb31b82276211519bd5b1c6601aa55c85b5c7264c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d97f9919d54327066c9a75fb31b82276211519bd5b1c6601aa55c85b5c7264c3","first_computed_at":"2026-05-18T03:24:40.493909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:40.493909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QX/C6rqPjr87kcON9KPG3MTVIkhnexyKb9QPyQl8q4lemwnQL++V8NEaivTplQbt3+v6o+PWwF0qp3273R34DA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:40.494542Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.6542","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ab33af8a3474e7dc1b0f574078d528d1f800a8af70b77f20e0a32728930887a","sha256:6b7d7f617bbd9d883ce0af2f73130fa8f6d9d293f809b3c39b4a74891e406dc9"],"state_sha256":"4462267c854a1093816709aeeaedfd903c80ddda89c0df3b2ec4c9179b0d7101"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ouhc17HZPe/AP3ou7li31Y5NWsXK0UdhguJ3IQkNfk2YxajQjJbernRcNIT7fjXQ3ZHqH1hXL2BLfmXTQCAWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:32:51.294177Z","bundle_sha256":"10ffd63b628676d6e1de01852cd49a04622a52772faae0a40cbdc19c8b43485d"}}