{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:7PFZWKR3O44ZMH4XK4QRTSKCJW","short_pith_number":"pith:7PFZWKR3","schema_version":"1.0","canonical_sha256":"fbcb9b2a3b7739961f97572119c9424dbe3e355094e4323090f5872cd5e33b50","source":{"kind":"arxiv","id":"1312.2564","version":2},"attestation_state":"computed","paper":{"title":"The s-cobordism theorem seen as a particular case of Latour's theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Carlos Moraga Ferrandiz","submitted_at":"2013-12-09T20:11:12Z","abstract_excerpt":"We show how Latour's theorem can be understood as a natural generalization of the $ s $-cobordism theorem for cohomology classes $ u\\in H^1(M;\\mathbb{R}) $. The $ s $-cobordism theorem becomes a special degenerate case when $ u=0 $."},"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":"1312.2564","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-12-09T20:11:12Z","cross_cats_sorted":[],"title_canon_sha256":"4c935a23d52cd095c011a052984f6d77f515c8517062c1026cc67ecb934e62a8","abstract_canon_sha256":"1df78d466b26efc2bb50cb2aa9e6fa108958e1fe802b16a0ef8086d481eff3d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:28.690847Z","signature_b64":"Qf1oYYZwCrdxYN6f5ZB+PC5AfoCrJLEeI0VwyuExIqKYE/d8FFlqJfAPnq3ilXTRJqN6O5IMWvorvJc+Dr6lDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbcb9b2a3b7739961f97572119c9424dbe3e355094e4323090f5872cd5e33b50","last_reissued_at":"2026-05-18T02:49:28.690187Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:28.690187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The s-cobordism theorem seen as a particular case of Latour's theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Carlos Moraga Ferrandiz","submitted_at":"2013-12-09T20:11:12Z","abstract_excerpt":"We show how Latour's theorem can be understood as a natural generalization of the $ s $-cobordism theorem for cohomology classes $ u\\in H^1(M;\\mathbb{R}) $. The $ s $-cobordism theorem becomes a special degenerate case when $ u=0 $."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2564","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":"1312.2564","created_at":"2026-05-18T02:49:28.690293+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.2564v2","created_at":"2026-05-18T02:49:28.690293+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2564","created_at":"2026-05-18T02:49:28.690293+00:00"},{"alias_kind":"pith_short_12","alias_value":"7PFZWKR3O44Z","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"7PFZWKR3O44ZMH4X","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"7PFZWKR3","created_at":"2026-05-18T12:27:36.564083+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/7PFZWKR3O44ZMH4XK4QRTSKCJW","json":"https://pith.science/pith/7PFZWKR3O44ZMH4XK4QRTSKCJW.json","graph_json":"https://pith.science/api/pith-number/7PFZWKR3O44ZMH4XK4QRTSKCJW/graph.json","events_json":"https://pith.science/api/pith-number/7PFZWKR3O44ZMH4XK4QRTSKCJW/events.json","paper":"https://pith.science/paper/7PFZWKR3"},"agent_actions":{"view_html":"https://pith.science/pith/7PFZWKR3O44ZMH4XK4QRTSKCJW","download_json":"https://pith.science/pith/7PFZWKR3O44ZMH4XK4QRTSKCJW.json","view_paper":"https://pith.science/paper/7PFZWKR3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.2564&json=true","fetch_graph":"https://pith.science/api/pith-number/7PFZWKR3O44ZMH4XK4QRTSKCJW/graph.json","fetch_events":"https://pith.science/api/pith-number/7PFZWKR3O44ZMH4XK4QRTSKCJW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7PFZWKR3O44ZMH4XK4QRTSKCJW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7PFZWKR3O44ZMH4XK4QRTSKCJW/action/storage_attestation","attest_author":"https://pith.science/pith/7PFZWKR3O44ZMH4XK4QRTSKCJW/action/author_attestation","sign_citation":"https://pith.science/pith/7PFZWKR3O44ZMH4XK4QRTSKCJW/action/citation_signature","submit_replication":"https://pith.science/pith/7PFZWKR3O44ZMH4XK4QRTSKCJW/action/replication_record"}},"created_at":"2026-05-18T02:49:28.690293+00:00","updated_at":"2026-05-18T02:49:28.690293+00:00"}