{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:REGTSPSTABW4364UBRNXAPHVJ7","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":"7df6cf3b900c4659b5f31c34186c524ae14dcaa1d2fa221bc8cb70eba1eaf02c","cross_cats_sorted":["math.AT","math.GT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-01T20:14:13Z","title_canon_sha256":"5acc7f930ddbfcc7ca30b4eb5aac08b8808781714c6882c5d390b1397a9a2a26"},"schema_version":"1.0","source":{"id":"1512.00415","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00415","created_at":"2026-05-18T01:24:10Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00415v2","created_at":"2026-05-18T01:24:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00415","created_at":"2026-05-18T01:24:10Z"},{"alias_kind":"pith_short_12","alias_value":"REGTSPSTABW4","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"REGTSPSTABW4364U","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"REGTSPST","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:fa365ea99c589311eaa444901ac0d44dbf81ecdb5980286676f324459e2ede58","target":"graph","created_at":"2026-05-18T01:24:10Z","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":"We contribute to the arithmetic/topology dictionary by relating asymptotic point counts and arithmetic statistics over finite fields to homological stability and representation stability over $\\Cb$ in the example of configuration spaces of $n$ points in smooth varieties. To do this, we import the method of homological stability from the realm of topology into the theory of \\'{e}tale cohomology; in particular we give the first examples of stability of \\'{e}tale cohomology groups as Galois representations where the Galois actions are not already explicitly known. We then establish subexponential","authors_text":"Benson Farb, Jesse Wolfson","cross_cats":["math.AT","math.GT","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-01T20:14:13Z","title":"\\'Etale homological stability and arithmetic statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00415","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":"sha256:483a89b88a8742feac81cc4bc926c8b1a20b5396339e9cec27b4ce2c3ab70f26","target":"record","created_at":"2026-05-18T01:24:10Z","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":"7df6cf3b900c4659b5f31c34186c524ae14dcaa1d2fa221bc8cb70eba1eaf02c","cross_cats_sorted":["math.AT","math.GT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-01T20:14:13Z","title_canon_sha256":"5acc7f930ddbfcc7ca30b4eb5aac08b8808781714c6882c5d390b1397a9a2a26"},"schema_version":"1.0","source":{"id":"1512.00415","kind":"arxiv","version":2}},"canonical_sha256":"890d393e53006dcdfb940c5b703cf54fe9b37211a336fd4e24b7ee96be957fac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"890d393e53006dcdfb940c5b703cf54fe9b37211a336fd4e24b7ee96be957fac","first_computed_at":"2026-05-18T01:24:10.360963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:10.360963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vYYBrRtsE3zln0CxOmtlxh8ECWS9b1Y6WXi2U9gQilHOjwaLgmdahP5Kkutf1G3tqpKLyiBVbUNRsElYvoLdCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:10.361565Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00415","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:483a89b88a8742feac81cc4bc926c8b1a20b5396339e9cec27b4ce2c3ab70f26","sha256:fa365ea99c589311eaa444901ac0d44dbf81ecdb5980286676f324459e2ede58"],"state_sha256":"6e8ea099056f42651a4d35dc9db2644395d64fb397e9caf9867a181ae9aeb884"}