{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XXKZ4ZKCDKGSDDUIAZDS3PPACN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3f2700aa83e10a07a1c39402b749ebf80747d61e969988933a3193c65e1d7cff","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-12-07T15:56:36Z","title_canon_sha256":"cd037d8e19d19ca8c6cd612317eda6506ed17dc8da5523280ceb3fa41a435900"},"schema_version":"1.0","source":{"id":"1012.1540","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.1540","created_at":"2026-05-18T04:32:02Z"},{"alias_kind":"arxiv_version","alias_value":"1012.1540v2","created_at":"2026-05-18T04:32:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.1540","created_at":"2026-05-18T04:32:02Z"},{"alias_kind":"pith_short_12","alias_value":"XXKZ4ZKCDKGS","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XXKZ4ZKCDKGSDDUI","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XXKZ4ZKC","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:d8a6ec13a0b6e29b6fa1e6fda4843c35e601878b84214778e7c1f5a941a3a1d8","target":"graph","created_at":"2026-05-18T04:32:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We characterize simplicial localization functors among relative functors from relative categories to simplicial categories as any choice of homotopy inverse to the delocalization functor of Dwyer and the second author.","authors_text":"C. Barwick, D. M. Kan","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-12-07T15:56:36Z","title":"A characterization of simplicial localization functors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.1540","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:51bb76455dffeb326ec06d37921a43fc06abec63b639dd1e1fbd6935876412df","target":"record","created_at":"2026-05-18T04:32:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3f2700aa83e10a07a1c39402b749ebf80747d61e969988933a3193c65e1d7cff","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-12-07T15:56:36Z","title_canon_sha256":"cd037d8e19d19ca8c6cd612317eda6506ed17dc8da5523280ceb3fa41a435900"},"schema_version":"1.0","source":{"id":"1012.1540","kind":"arxiv","version":2}},"canonical_sha256":"bdd59e65421a8d218e8806472dbde0137082ccebf3c9517ac50436aa81073858","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdd59e65421a8d218e8806472dbde0137082ccebf3c9517ac50436aa81073858","first_computed_at":"2026-05-18T04:32:02.447601Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:02.447601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lXQpb6sitPqsKRYeyva2sSgCus1fJ/A9w3cqBYMF817g3e/Mey233vjJ1VXG+E8CfthHD4u6WB5AMQEk9c5aDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:02.448050Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.1540","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51bb76455dffeb326ec06d37921a43fc06abec63b639dd1e1fbd6935876412df","sha256:d8a6ec13a0b6e29b6fa1e6fda4843c35e601878b84214778e7c1f5a941a3a1d8"],"state_sha256":"b5d8fc37779e9f35f818798a1d265a03e924b71e28e2e2c051cec9ee4551bfd9"}