{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:D4GTLK75T3JT7PN24OZFC4WIWZ","short_pith_number":"pith:D4GTLK75","schema_version":"1.0","canonical_sha256":"1f0d35abfd9ed33fbdbae3b25172c8b67ec5f65a5c6c5a5b4afb9ab12f94ae9b","source":{"kind":"arxiv","id":"1204.3578","version":2},"attestation_state":"computed","paper":{"title":"Minimal genus in 4-manifolds with a free circle action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Stefan Friedl, Stefano Vidussi","submitted_at":"2012-04-16T17:33:42Z","abstract_excerpt":"Let N be a closed irreducible 3-manifold and assume N is not a graph manifold. We improve for all but finitely many S^1-bundles M over N the adjunction inequality for the minimal complexity of embedded surfaces. This allows us to completely determine the minimal complexity of embedded surfaces in all but finitely many S^1-bundles over a large class of 3-manifolds."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1204.3578","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-04-16T17:33:42Z","cross_cats_sorted":[],"title_canon_sha256":"ca8a495f5eb3852f4d7d08ec19aebbe027e0eb7856ed69fa3d99de6d64ebabb6","abstract_canon_sha256":"04a5bafccc94d8407d56828daf44ea8098492b40d73bf26ebd64ce86f51b20c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:49.157712Z","signature_b64":"sfgjV4qgViEKQ7GW9yAVAm1ICmvjqyM1xOcI05rxmmOKbUvm0LJWR38U66vFBVSx8+cGPcb0NDLM1rLy7/9sBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f0d35abfd9ed33fbdbae3b25172c8b67ec5f65a5c6c5a5b4afb9ab12f94ae9b","last_reissued_at":"2026-05-17T23:57:49.157057Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:49.157057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimal genus in 4-manifolds with a free circle action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Stefan Friedl, Stefano Vidussi","submitted_at":"2012-04-16T17:33:42Z","abstract_excerpt":"Let N be a closed irreducible 3-manifold and assume N is not a graph manifold. We improve for all but finitely many S^1-bundles M over N the adjunction inequality for the minimal complexity of embedded surfaces. This allows us to completely determine the minimal complexity of embedded surfaces in all but finitely many S^1-bundles over a large class of 3-manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3578","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1204.3578","created_at":"2026-05-17T23:57:49.157163+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.3578v2","created_at":"2026-05-17T23:57:49.157163+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3578","created_at":"2026-05-17T23:57:49.157163+00:00"},{"alias_kind":"pith_short_12","alias_value":"D4GTLK75T3JT","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"D4GTLK75T3JT7PN2","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"D4GTLK75","created_at":"2026-05-18T12:27:01.376967+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/D4GTLK75T3JT7PN24OZFC4WIWZ","json":"https://pith.science/pith/D4GTLK75T3JT7PN24OZFC4WIWZ.json","graph_json":"https://pith.science/api/pith-number/D4GTLK75T3JT7PN24OZFC4WIWZ/graph.json","events_json":"https://pith.science/api/pith-number/D4GTLK75T3JT7PN24OZFC4WIWZ/events.json","paper":"https://pith.science/paper/D4GTLK75"},"agent_actions":{"view_html":"https://pith.science/pith/D4GTLK75T3JT7PN24OZFC4WIWZ","download_json":"https://pith.science/pith/D4GTLK75T3JT7PN24OZFC4WIWZ.json","view_paper":"https://pith.science/paper/D4GTLK75","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.3578&json=true","fetch_graph":"https://pith.science/api/pith-number/D4GTLK75T3JT7PN24OZFC4WIWZ/graph.json","fetch_events":"https://pith.science/api/pith-number/D4GTLK75T3JT7PN24OZFC4WIWZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D4GTLK75T3JT7PN24OZFC4WIWZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D4GTLK75T3JT7PN24OZFC4WIWZ/action/storage_attestation","attest_author":"https://pith.science/pith/D4GTLK75T3JT7PN24OZFC4WIWZ/action/author_attestation","sign_citation":"https://pith.science/pith/D4GTLK75T3JT7PN24OZFC4WIWZ/action/citation_signature","submit_replication":"https://pith.science/pith/D4GTLK75T3JT7PN24OZFC4WIWZ/action/replication_record"}},"created_at":"2026-05-17T23:57:49.157163+00:00","updated_at":"2026-05-17T23:57:49.157163+00:00"}