{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FGI2LTX5ZIZYRIZTZFLGCJJ2JM","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":"ff5e6f97572987a6ca3f4d74e4433d7293d4b36fc64eccb888a9171b7435d220","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-07-26T13:45:33Z","title_canon_sha256":"3e2d7515eb6c9d58eee125c35e06da3d5075a0ec93da9cd27ec77b9e46c3c025"},"schema_version":"1.0","source":{"id":"1107.5213","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5213","created_at":"2026-05-18T04:12:10Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5213v3","created_at":"2026-05-18T04:12:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5213","created_at":"2026-05-18T04:12:10Z"},{"alias_kind":"pith_short_12","alias_value":"FGI2LTX5ZIZY","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FGI2LTX5ZIZYRIZT","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FGI2LTX5","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:d253879f606ec942cfda2cb83e3d176dc56c378309dbf26b439d14617c555bdb","target":"graph","created_at":"2026-05-18T04:12:10Z","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":"Let p be a fibration over a finite simplicial complex, whose fibers have the homotopy type of finite simplicial complexes. Then p is equivalent to an approximate fibration whose total space is a compact ENR. The proof uses homotopy coherent diagrams and their homotopy colimits. We also comment on the simple homotopy type of the total space and give an application to the fibering of Hilbert cube manifolds.","authors_text":"Wolfgang Steimle","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-07-26T13:45:33Z","title":"Homotopy coherent diagrams and approximate fibrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5213","kind":"arxiv","version":3},"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":"sha256:3ef7047703d84257f82080eb4388f7ece81a186ddba52e827a2160848d67e55e","target":"record","created_at":"2026-05-18T04:12:10Z","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":"ff5e6f97572987a6ca3f4d74e4433d7293d4b36fc64eccb888a9171b7435d220","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-07-26T13:45:33Z","title_canon_sha256":"3e2d7515eb6c9d58eee125c35e06da3d5075a0ec93da9cd27ec77b9e46c3c025"},"schema_version":"1.0","source":{"id":"1107.5213","kind":"arxiv","version":3}},"canonical_sha256":"2991a5cefdca3388a333c95661253a4b268aaf221baae43c10dd3892623b82a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2991a5cefdca3388a333c95661253a4b268aaf221baae43c10dd3892623b82a2","first_computed_at":"2026-05-18T04:12:10.116918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:10.116918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x51ZpD1ODYHsps6R0OMaq8NJ+H0O3fc5Wde65sL+t4rpygXXVyepy3BDID2lt9YqsUe+XINQsqA3j4ISv03+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:10.117473Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5213","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ef7047703d84257f82080eb4388f7ece81a186ddba52e827a2160848d67e55e","sha256:d253879f606ec942cfda2cb83e3d176dc56c378309dbf26b439d14617c555bdb"],"state_sha256":"0236102a98e3c15014027f84b694742183c32c357a7e06da7b694185d68b8467"}