{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:4LHUS4ICTRKOGMZWHZK7PXZYO7","short_pith_number":"pith:4LHUS4IC","schema_version":"1.0","canonical_sha256":"e2cf4971029c54e333363e55f7df3877cf29164bf6ce6da6ae8c42c556b7c64b","source":{"kind":"arxiv","id":"math/0111287","version":1},"attestation_state":"computed","paper":{"title":"Hypercovers in topology","license":"","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Daniel C. Isaksen, Daniel Dugger","submitted_at":"2001-11-27T20:52:24Z","abstract_excerpt":"We show that if U is a hypercover of a topological space X then the natural map from hocolim U to X is a weak equivalence. This fact is used to construct topological realization functors for the A^1-homotopy theory of schemes over real and complex fields."},"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":"math/0111287","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AT","submitted_at":"2001-11-27T20:52:24Z","cross_cats_sorted":[],"title_canon_sha256":"6c01081c6cfcbb73086ef8eae38e1807b702ddf25a4c48f3b280a20bb2953220","abstract_canon_sha256":"dd5d58f1a002c202d19aa18c32f2e12d6cb52ca89d4bcff8d2ca10f95269c0b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:35:46.664598Z","signature_b64":"jbScv+yNLCrPeKggcwxN+uklAYjLlcDAaNYBdVq+Vt6SYaZtMkgVvMlcNiscxn0FfQl7azJaS3IGpvEbIcO9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2cf4971029c54e333363e55f7df3877cf29164bf6ce6da6ae8c42c556b7c64b","last_reissued_at":"2026-07-04T14:35:46.664196Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:35:46.664196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hypercovers in topology","license":"","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Daniel C. Isaksen, Daniel Dugger","submitted_at":"2001-11-27T20:52:24Z","abstract_excerpt":"We show that if U is a hypercover of a topological space X then the natural map from hocolim U to X is a weak equivalence. This fact is used to construct topological realization functors for the A^1-homotopy theory of schemes over real and complex fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0111287","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0111287/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0111287","created_at":"2026-07-04T14:35:46.664253+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0111287v1","created_at":"2026-07-04T14:35:46.664253+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0111287","created_at":"2026-07-04T14:35:46.664253+00:00"},{"alias_kind":"pith_short_12","alias_value":"4LHUS4ICTRKO","created_at":"2026-07-04T14:35:46.664253+00:00"},{"alias_kind":"pith_short_16","alias_value":"4LHUS4ICTRKOGMZW","created_at":"2026-07-04T14:35:46.664253+00:00"},{"alias_kind":"pith_short_8","alias_value":"4LHUS4IC","created_at":"2026-07-04T14:35:46.664253+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.15651","citing_title":"Unstable motivic and real-\\'etale homotopy theory","ref_index":20,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4LHUS4ICTRKOGMZWHZK7PXZYO7","json":"https://pith.science/pith/4LHUS4ICTRKOGMZWHZK7PXZYO7.json","graph_json":"https://pith.science/api/pith-number/4LHUS4ICTRKOGMZWHZK7PXZYO7/graph.json","events_json":"https://pith.science/api/pith-number/4LHUS4ICTRKOGMZWHZK7PXZYO7/events.json","paper":"https://pith.science/paper/4LHUS4IC"},"agent_actions":{"view_html":"https://pith.science/pith/4LHUS4ICTRKOGMZWHZK7PXZYO7","download_json":"https://pith.science/pith/4LHUS4ICTRKOGMZWHZK7PXZYO7.json","view_paper":"https://pith.science/paper/4LHUS4IC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0111287&json=true","fetch_graph":"https://pith.science/api/pith-number/4LHUS4ICTRKOGMZWHZK7PXZYO7/graph.json","fetch_events":"https://pith.science/api/pith-number/4LHUS4ICTRKOGMZWHZK7PXZYO7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4LHUS4ICTRKOGMZWHZK7PXZYO7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4LHUS4ICTRKOGMZWHZK7PXZYO7/action/storage_attestation","attest_author":"https://pith.science/pith/4LHUS4ICTRKOGMZWHZK7PXZYO7/action/author_attestation","sign_citation":"https://pith.science/pith/4LHUS4ICTRKOGMZWHZK7PXZYO7/action/citation_signature","submit_replication":"https://pith.science/pith/4LHUS4ICTRKOGMZWHZK7PXZYO7/action/replication_record"}},"created_at":"2026-07-04T14:35:46.664253+00:00","updated_at":"2026-07-04T14:35:46.664253+00:00"}