{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ZFBKSAB6QM2WSBL3QO5YWMIOWP","short_pith_number":"pith:ZFBKSAB6","canonical_record":{"source":{"id":"2402.12471","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-02-19T19:18:03Z","cross_cats_sorted":["math.GT","math.SG"],"title_canon_sha256":"7a84863f800e09739be311cce2cc724369ee077ac4ec15f00b79ec7355b4d418","abstract_canon_sha256":"751907092bd28e84b1454cf472983964cd8947ffe0fefdb2d436357840cec27b"},"schema_version":"1.0"},"canonical_sha256":"c942a9003e833569057b83bb8b310eb3c354b0aafada9ba2757ffddc75e48451","source":{"kind":"arxiv","id":"2402.12471","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.12471","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"2402.12471v4","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.12471","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"ZFBKSAB6QM2W","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_16","alias_value":"ZFBKSAB6QM2WSBL3","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_8","alias_value":"ZFBKSAB6","created_at":"2026-05-21T01:05:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ZFBKSAB6QM2WSBL3QO5YWMIOWP","target":"record","payload":{"canonical_record":{"source":{"id":"2402.12471","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-02-19T19:18:03Z","cross_cats_sorted":["math.GT","math.SG"],"title_canon_sha256":"7a84863f800e09739be311cce2cc724369ee077ac4ec15f00b79ec7355b4d418","abstract_canon_sha256":"751907092bd28e84b1454cf472983964cd8947ffe0fefdb2d436357840cec27b"},"schema_version":"1.0"},"canonical_sha256":"c942a9003e833569057b83bb8b310eb3c354b0aafada9ba2757ffddc75e48451","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:01.875207Z","signature_b64":"ISSvwmpZCoyspaeUzoFmrMuWUVfzlMS0ifxJTFx8wmZFhoPpKaTy2+4I9NHO1dnMASjVsFAi+gh8OGRKpsTcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c942a9003e833569057b83bb8b310eb3c354b0aafada9ba2757ffddc75e48451","last_reissued_at":"2026-05-21T01:05:01.874308Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:01.874308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.12471","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-21T01:05:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AUlAuLLqE9NxRaySG4z/G06FPwOgXO4BJnuVXLqNScUEswiS0eDPNAtmKDhJNgv3opNLfgHWOROIV+y91lxaBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T13:58:17.322158Z"},"content_sha256":"4a3dce51e4dbf99b5eccf84cfd040977346bbeb744139b7cf46a01c8a0da861c","schema_version":"1.0","event_id":"sha256:4a3dce51e4dbf99b5eccf84cfd040977346bbeb744139b7cf46a01c8a0da861c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ZFBKSAB6QM2WSBL3QO5YWMIOWP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New geometric structures on 3-manifolds: surgery and generalized geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.SG"],"primary_cat":"math.DG","authors_text":"Joan Porti, Roberto Rubio","submitted_at":"2024-02-19T19:18:03Z","abstract_excerpt":"Cosymplectic and normal almost contact structures are analogues of symplectic and complex structures that can be defined on 3-manifolds. Their existence imposes strong topological constraints. Generalized geometry offers a natural common generalization of these two structures: $B_3$-generalized complex structures. We prove that any closed orientable 3-manifold admits such a structure, which can be chosen to be stable, that is, generically cosymplectic up to generalized diffeomorphism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.12471","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2402.12471/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-21T01:05:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vevnkrJT26RoKK7HDpH7VE+GHw1m2tuDAYFYb+eMWaEhjW7iYf+pOqVotNcV058+4G0H1UZtLckTQa1NY2h1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T13:58:17.322912Z"},"content_sha256":"12bd6d8a14959d306feff2dfef85d66678420d1b267a45fbc0799c3e51ea7e24","schema_version":"1.0","event_id":"sha256:12bd6d8a14959d306feff2dfef85d66678420d1b267a45fbc0799c3e51ea7e24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZFBKSAB6QM2WSBL3QO5YWMIOWP/bundle.json","state_url":"https://pith.science/pith/ZFBKSAB6QM2WSBL3QO5YWMIOWP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZFBKSAB6QM2WSBL3QO5YWMIOWP/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":"2026-06-06T13:58:17Z","links":{"resolver":"https://pith.science/pith/ZFBKSAB6QM2WSBL3QO5YWMIOWP","bundle":"https://pith.science/pith/ZFBKSAB6QM2WSBL3QO5YWMIOWP/bundle.json","state":"https://pith.science/pith/ZFBKSAB6QM2WSBL3QO5YWMIOWP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZFBKSAB6QM2WSBL3QO5YWMIOWP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZFBKSAB6QM2WSBL3QO5YWMIOWP","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":"751907092bd28e84b1454cf472983964cd8947ffe0fefdb2d436357840cec27b","cross_cats_sorted":["math.GT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-02-19T19:18:03Z","title_canon_sha256":"7a84863f800e09739be311cce2cc724369ee077ac4ec15f00b79ec7355b4d418"},"schema_version":"1.0","source":{"id":"2402.12471","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.12471","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"2402.12471v4","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.12471","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"ZFBKSAB6QM2W","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_16","alias_value":"ZFBKSAB6QM2WSBL3","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_8","alias_value":"ZFBKSAB6","created_at":"2026-05-21T01:05:01Z"}],"graph_snapshots":[{"event_id":"sha256:12bd6d8a14959d306feff2dfef85d66678420d1b267a45fbc0799c3e51ea7e24","target":"graph","created_at":"2026-05-21T01:05:01Z","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/2402.12471/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Cosymplectic and normal almost contact structures are analogues of symplectic and complex structures that can be defined on 3-manifolds. Their existence imposes strong topological constraints. Generalized geometry offers a natural common generalization of these two structures: $B_3$-generalized complex structures. We prove that any closed orientable 3-manifold admits such a structure, which can be chosen to be stable, that is, generically cosymplectic up to generalized diffeomorphism.","authors_text":"Joan Porti, Roberto Rubio","cross_cats":["math.GT","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-02-19T19:18:03Z","title":"New geometric structures on 3-manifolds: surgery and generalized geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.12471","kind":"arxiv","version":4},"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":"sha256:4a3dce51e4dbf99b5eccf84cfd040977346bbeb744139b7cf46a01c8a0da861c","target":"record","created_at":"2026-05-21T01:05:01Z","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":"751907092bd28e84b1454cf472983964cd8947ffe0fefdb2d436357840cec27b","cross_cats_sorted":["math.GT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-02-19T19:18:03Z","title_canon_sha256":"7a84863f800e09739be311cce2cc724369ee077ac4ec15f00b79ec7355b4d418"},"schema_version":"1.0","source":{"id":"2402.12471","kind":"arxiv","version":4}},"canonical_sha256":"c942a9003e833569057b83bb8b310eb3c354b0aafada9ba2757ffddc75e48451","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c942a9003e833569057b83bb8b310eb3c354b0aafada9ba2757ffddc75e48451","first_computed_at":"2026-05-21T01:05:01.874308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:05:01.874308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ISSvwmpZCoyspaeUzoFmrMuWUVfzlMS0ifxJTFx8wmZFhoPpKaTy2+4I9NHO1dnMASjVsFAi+gh8OGRKpsTcCg==","signature_status":"signed_v1","signed_at":"2026-05-21T01:05:01.875207Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.12471","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a3dce51e4dbf99b5eccf84cfd040977346bbeb744139b7cf46a01c8a0da861c","sha256:12bd6d8a14959d306feff2dfef85d66678420d1b267a45fbc0799c3e51ea7e24"],"state_sha256":"0ea77a952d059c3409eb67c0d0aeb5992e565f701be8b5f9eac0fcdddd4297db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/3Lh/YNs4od31gJF+yRLWpjGThmsEzHb4K7HHas1t4EFxWryxezMwbY7k6Mqa0yt02Mn709qxTtAunnReNCNBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T13:58:17.328245Z","bundle_sha256":"6b39b62569850354277cf4a7dbbf2bb3b203c02ff7d6ca2c0945f6ed74e34a70"}}