{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:R6JC4IOIKALOCGSYHKFCOF2E6Y","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":"7f538cbfc489afcf36958f691293ed455e698d2b213ce31fe560d90d3519d801","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-03-07T04:18:43Z","title_canon_sha256":"ecbe9070a177e7597f7c48b43a09156feffd59e60ae6202fa609787de644c181"},"schema_version":"1.0","source":{"id":"1903.02722","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.02722","created_at":"2026-05-17T23:39:39Z"},{"alias_kind":"arxiv_version","alias_value":"1903.02722v2","created_at":"2026-05-17T23:39:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.02722","created_at":"2026-05-17T23:39:39Z"},{"alias_kind":"pith_short_12","alias_value":"R6JC4IOIKALO","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"R6JC4IOIKALOCGSY","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"R6JC4IOI","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:aa6ce8cfdf13b3dcbd6a82b51a985badb9c98a8767a1706400a32577da3f7131","target":"graph","created_at":"2026-05-17T23:39:39Z","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":"Using a result of Gan and Li on FI-hyperhomology and a semi-simplicial resolution of configuration spaces due to Randal-Williams, we establish an improved representation stability stable range for configuration spaces of distinct ordered points in a manifold. Our bounds on generation degree improve the best known stability slope by a factor of 5/2 in the most general case. We adapt this result of Gan and Li to apply beyond stability arguments involving highly-connected simplicial complexes, and our methods suggest that their result may be widely applicable to improving most stability ranges fo","authors_text":"Jennifer C. H. Wilson, Jeremy Miller","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-03-07T04:18:43Z","title":"FI-hyperhomology and ordered configuration spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.02722","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:a6c57e58ab021894fe7ab3bf2fcc2e8b16e7e687b8584633f3c38be8567adf24","target":"record","created_at":"2026-05-17T23:39:39Z","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":"7f538cbfc489afcf36958f691293ed455e698d2b213ce31fe560d90d3519d801","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-03-07T04:18:43Z","title_canon_sha256":"ecbe9070a177e7597f7c48b43a09156feffd59e60ae6202fa609787de644c181"},"schema_version":"1.0","source":{"id":"1903.02722","kind":"arxiv","version":2}},"canonical_sha256":"8f922e21c85016e11a583a8a271744f6116629b23d954f5491b2374a9dba9f08","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f922e21c85016e11a583a8a271744f6116629b23d954f5491b2374a9dba9f08","first_computed_at":"2026-05-17T23:39:39.732560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:39.732560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iSEysX5x8U8nkH9CpO3ggBHvPb7TFt84Nj/l7OrbC+hs815nrdzYmn6nEg3hgv0fg5FAHxRm3nnU9k1l1ivRCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:39.733077Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.02722","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6c57e58ab021894fe7ab3bf2fcc2e8b16e7e687b8584633f3c38be8567adf24","sha256:aa6ce8cfdf13b3dcbd6a82b51a985badb9c98a8767a1706400a32577da3f7131"],"state_sha256":"a8a93bc558da967ddf0fcf60c3c67e8a1f1ad46033b8d7ad8d82f2298f6df612"}