{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:4NUPAJXGZSGFHYTVAYJI2NPPRE","short_pith_number":"pith:4NUPAJXG","schema_version":"1.0","canonical_sha256":"e368f026e6cc8c53e27506128d35ef891aee90fffdbed8b1e035f67fb11aa7ff","source":{"kind":"arxiv","id":"1011.4784","version":2},"attestation_state":"computed","paper":{"title":"Fibre sequences and localization of simplicial sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Matthias Wendt","submitted_at":"2010-11-22T12:12:13Z","abstract_excerpt":"In this paper, we discuss the theory of quasi-fibrations in proper Bousfield localizations of model categories of simplicial sheaves. We provide a construction of fibrewise localization and use this construction to generalize a criterion for locality of fibre sequences due to Berrick and Dror Farjoun. The result allows a better understanding of unstable A^1-homotopy theory."},"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":"1011.4784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-11-22T12:12:13Z","cross_cats_sorted":[],"title_canon_sha256":"03a4054a1228d205c05c6f97f50912143999b23f04a4a0fa8731e756408315d3","abstract_canon_sha256":"bae9a45a3690d42f5986862d1dd32c8765e11cdbd1cd2114a3bb678d154b10e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:50.676632Z","signature_b64":"cVs1hxK+7RfdyZuu7Ntr+3qScOSqpoz3r4EFz5W29qI28RXHXscVlBkwjEEu71lyZECPrngZjrmDCk1r9p0nAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e368f026e6cc8c53e27506128d35ef891aee90fffdbed8b1e035f67fb11aa7ff","last_reissued_at":"2026-05-18T02:41:50.676070Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:50.676070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fibre sequences and localization of simplicial sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Matthias Wendt","submitted_at":"2010-11-22T12:12:13Z","abstract_excerpt":"In this paper, we discuss the theory of quasi-fibrations in proper Bousfield localizations of model categories of simplicial sheaves. We provide a construction of fibrewise localization and use this construction to generalize a criterion for locality of fibre sequences due to Berrick and Dror Farjoun. The result allows a better understanding of unstable A^1-homotopy theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4784","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":"1011.4784","created_at":"2026-05-18T02:41:50.676156+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.4784v2","created_at":"2026-05-18T02:41:50.676156+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4784","created_at":"2026-05-18T02:41:50.676156+00:00"},{"alias_kind":"pith_short_12","alias_value":"4NUPAJXGZSGF","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"4NUPAJXGZSGFHYTV","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"4NUPAJXG","created_at":"2026-05-18T12:26:03.138858+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/4NUPAJXGZSGFHYTVAYJI2NPPRE","json":"https://pith.science/pith/4NUPAJXGZSGFHYTVAYJI2NPPRE.json","graph_json":"https://pith.science/api/pith-number/4NUPAJXGZSGFHYTVAYJI2NPPRE/graph.json","events_json":"https://pith.science/api/pith-number/4NUPAJXGZSGFHYTVAYJI2NPPRE/events.json","paper":"https://pith.science/paper/4NUPAJXG"},"agent_actions":{"view_html":"https://pith.science/pith/4NUPAJXGZSGFHYTVAYJI2NPPRE","download_json":"https://pith.science/pith/4NUPAJXGZSGFHYTVAYJI2NPPRE.json","view_paper":"https://pith.science/paper/4NUPAJXG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.4784&json=true","fetch_graph":"https://pith.science/api/pith-number/4NUPAJXGZSGFHYTVAYJI2NPPRE/graph.json","fetch_events":"https://pith.science/api/pith-number/4NUPAJXGZSGFHYTVAYJI2NPPRE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4NUPAJXGZSGFHYTVAYJI2NPPRE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4NUPAJXGZSGFHYTVAYJI2NPPRE/action/storage_attestation","attest_author":"https://pith.science/pith/4NUPAJXGZSGFHYTVAYJI2NPPRE/action/author_attestation","sign_citation":"https://pith.science/pith/4NUPAJXGZSGFHYTVAYJI2NPPRE/action/citation_signature","submit_replication":"https://pith.science/pith/4NUPAJXGZSGFHYTVAYJI2NPPRE/action/replication_record"}},"created_at":"2026-05-18T02:41:50.676156+00:00","updated_at":"2026-05-18T02:41:50.676156+00:00"}