{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7HM2UB4EOCU576SACICAKCMTUH","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":"5fa5fe1803ae44ff9366b84678c73bf8b365f0e69645da3415f54c15400c6d6b","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2016-09-15T13:18:02Z","title_canon_sha256":"dc3e205a6759ef63a911a56943822dfbeb0c3dc96eb52bcc9a9b2aa7a588c20e"},"schema_version":"1.0","source":{"id":"1609.04622","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.04622","created_at":"2026-05-18T01:04:36Z"},{"alias_kind":"arxiv_version","alias_value":"1609.04622v1","created_at":"2026-05-18T01:04:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.04622","created_at":"2026-05-18T01:04:36Z"},{"alias_kind":"pith_short_12","alias_value":"7HM2UB4EOCU5","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7HM2UB4EOCU576SA","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7HM2UB4E","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:c8bcf60096a2fcbf5b6cb42ad24797aef12365074346a516b1c9c53d8fd4ea2b","target":"graph","created_at":"2026-05-18T01:04:36Z","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 introduce and study a notion of cylinder coherator similar to the notion of Grothendieck coherator which define more flexible notion of weak infinity groupoids. We show that each such cylinder coherator produces a combinatorial semi-model category of weak infinity groupoids, whose objects are all fibrant and which is in a precise sense \"freely generated by an object\". We show that all those semi model categories are Quillen equivalent together and Quillen to the model category of spaces. A general procedure is given to produce such coherator, and several explicit examples are presented: one","authors_text":"Simon Henry","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2016-09-15T13:18:02Z","title":"Algebraic models of homotopy types and the homotopy hypothesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04622","kind":"arxiv","version":1},"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":"sha256:035cdf6036df17ef739306715c9422617fd6a9b298989c337c186c4bb7f4bad0","target":"record","created_at":"2026-05-18T01:04:36Z","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":"5fa5fe1803ae44ff9366b84678c73bf8b365f0e69645da3415f54c15400c6d6b","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2016-09-15T13:18:02Z","title_canon_sha256":"dc3e205a6759ef63a911a56943822dfbeb0c3dc96eb52bcc9a9b2aa7a588c20e"},"schema_version":"1.0","source":{"id":"1609.04622","kind":"arxiv","version":1}},"canonical_sha256":"f9d9aa078470a9dffa401204050993a1de79901fa7a2a87ad710d258f76a7c87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9d9aa078470a9dffa401204050993a1de79901fa7a2a87ad710d258f76a7c87","first_computed_at":"2026-05-18T01:04:36.131398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:36.131398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nt4lXQFNQZ1GVWy+ThrR62gaiBtpX6DByLzG5mN7B7ncl/onlij0ZJarV2jrA8hbbkhjzBVzKaIHSQ3IjTA2AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:36.132083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.04622","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:035cdf6036df17ef739306715c9422617fd6a9b298989c337c186c4bb7f4bad0","sha256:c8bcf60096a2fcbf5b6cb42ad24797aef12365074346a516b1c9c53d8fd4ea2b"],"state_sha256":"658da050db2f25f47da70f8e6a54a70ef6c69c6ee4c7d2481cb5e1647360831c"}