{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FEM7F7CXURM4C6A5S5F6VG73OE","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":"d40f0e73ff8ea986c757ee838454ee8851df2aa77ef3cae7e7186d0ab57041af","cross_cats_sorted":["math.CO","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-01-11T16:52:57Z","title_canon_sha256":"f745a43749b66c3d50408bae938541fc17a147428e2070f9813ce88c0aa92e42"},"schema_version":"1.0","source":{"id":"1601.02521","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.02521","created_at":"2026-05-18T00:15:47Z"},{"alias_kind":"arxiv_version","alias_value":"1601.02521v3","created_at":"2026-05-18T00:15:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02521","created_at":"2026-05-18T00:15:47Z"},{"alias_kind":"pith_short_12","alias_value":"FEM7F7CXURM4","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FEM7F7CXURM4C6A5","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FEM7F7CX","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:a1145eec3b76d68f9893b4b9de05a28781af768732c6daef93b86589e311362f","target":"graph","created_at":"2026-05-18T00:15:47Z","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 $G$ be a discrete group. We prove that the category of $G$-posets admits a model structure that is Quillen equivalent to the standard model structure on $G$-spaces. As is already true nonequivariantly, the three classes of maps defining the model structure are not well understood calculationally. To illustrate, we exhibit some examples of cofibrant and fibrant posets and an example of a non-cofibrant finite poset.","authors_text":"Inna Zakharevich, J.P. May, Marc Stephan","cross_cats":["math.CO","math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-01-11T16:52:57Z","title":"The homotopy theory of equivariant posets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02521","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":"sha256:3f4c47436d8347fde36953a7ad278af636876d9fd4272d4315289b7095ca9c89","target":"record","created_at":"2026-05-18T00:15:47Z","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":"d40f0e73ff8ea986c757ee838454ee8851df2aa77ef3cae7e7186d0ab57041af","cross_cats_sorted":["math.CO","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-01-11T16:52:57Z","title_canon_sha256":"f745a43749b66c3d50408bae938541fc17a147428e2070f9813ce88c0aa92e42"},"schema_version":"1.0","source":{"id":"1601.02521","kind":"arxiv","version":3}},"canonical_sha256":"2919f2fc57a459c1781d974bea9bfb712031206abe6d79b87173f638378c013e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2919f2fc57a459c1781d974bea9bfb712031206abe6d79b87173f638378c013e","first_computed_at":"2026-05-18T00:15:47.610138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:47.610138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N2C5a3SF7C9JCaEWW2LDb+l4tysa12Kg7UqQ0d8T1DKGrr4tuDcpObj5tFjuIIE7jddGpTFL9brpYS0svzfuAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:47.610824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.02521","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f4c47436d8347fde36953a7ad278af636876d9fd4272d4315289b7095ca9c89","sha256:a1145eec3b76d68f9893b4b9de05a28781af768732c6daef93b86589e311362f"],"state_sha256":"62e016a54b983ec40ed75da3eededcdfa2ef75f7d9394e367928fc3b6b2188f3"}