{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:27BRBUCFZKDNSTVAEGU5ZAU4XX","short_pith_number":"pith:27BRBUCF","schema_version":"1.0","canonical_sha256":"d7c310d045ca86d94ea021a9dc829cbde7ceaa58bb939ca3a48c3a7f56e272e2","source":{"kind":"arxiv","id":"0910.4180","version":4},"attestation_state":"computed","paper":{"title":"Formal extension of the Whitney functor and duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ana Rita Martins, Teresa Monteiro Fernandes","submitted_at":"2009-10-22T09:39:25Z","abstract_excerpt":"We introduce the formal extension of the Whitney functor and the polynomial extension of the tempered cohomology functor, and prove a natural topological duality between them."},"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":"0910.4180","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-10-22T09:39:25Z","cross_cats_sorted":[],"title_canon_sha256":"9c14fdfc472b662eb67c0204074aea22c8b5b39d9366b16cef8863dcce4d97c5","abstract_canon_sha256":"8118bafaee4b4767f0d0a5d7fb366fcf835601a65a37ef3c140cca2b99f3403c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:33.580248Z","signature_b64":"yPZLMj7DV4swgtcf2zTd9107v3dskHYUU60rjYamjhn15+0xZ/K2DMut/UtKU5r6sO4q+jZWVVL26I39g3zWCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7c310d045ca86d94ea021a9dc829cbde7ceaa58bb939ca3a48c3a7f56e272e2","last_reissued_at":"2026-05-18T04:19:33.579684Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:33.579684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Formal extension of the Whitney functor and duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ana Rita Martins, Teresa Monteiro Fernandes","submitted_at":"2009-10-22T09:39:25Z","abstract_excerpt":"We introduce the formal extension of the Whitney functor and the polynomial extension of the tempered cohomology functor, and prove a natural topological duality between them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.4180","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":""},"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":"0910.4180","created_at":"2026-05-18T04:19:33.579769+00:00"},{"alias_kind":"arxiv_version","alias_value":"0910.4180v4","created_at":"2026-05-18T04:19:33.579769+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.4180","created_at":"2026-05-18T04:19:33.579769+00:00"},{"alias_kind":"pith_short_12","alias_value":"27BRBUCFZKDN","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"27BRBUCFZKDNSTVA","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"27BRBUCF","created_at":"2026-05-18T12:25:58.018023+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/27BRBUCFZKDNSTVAEGU5ZAU4XX","json":"https://pith.science/pith/27BRBUCFZKDNSTVAEGU5ZAU4XX.json","graph_json":"https://pith.science/api/pith-number/27BRBUCFZKDNSTVAEGU5ZAU4XX/graph.json","events_json":"https://pith.science/api/pith-number/27BRBUCFZKDNSTVAEGU5ZAU4XX/events.json","paper":"https://pith.science/paper/27BRBUCF"},"agent_actions":{"view_html":"https://pith.science/pith/27BRBUCFZKDNSTVAEGU5ZAU4XX","download_json":"https://pith.science/pith/27BRBUCFZKDNSTVAEGU5ZAU4XX.json","view_paper":"https://pith.science/paper/27BRBUCF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0910.4180&json=true","fetch_graph":"https://pith.science/api/pith-number/27BRBUCFZKDNSTVAEGU5ZAU4XX/graph.json","fetch_events":"https://pith.science/api/pith-number/27BRBUCFZKDNSTVAEGU5ZAU4XX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/27BRBUCFZKDNSTVAEGU5ZAU4XX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/27BRBUCFZKDNSTVAEGU5ZAU4XX/action/storage_attestation","attest_author":"https://pith.science/pith/27BRBUCFZKDNSTVAEGU5ZAU4XX/action/author_attestation","sign_citation":"https://pith.science/pith/27BRBUCFZKDNSTVAEGU5ZAU4XX/action/citation_signature","submit_replication":"https://pith.science/pith/27BRBUCFZKDNSTVAEGU5ZAU4XX/action/replication_record"}},"created_at":"2026-05-18T04:19:33.579769+00:00","updated_at":"2026-05-18T04:19:33.579769+00:00"}