{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:EWAGH2O4SO6GQ4ZWAHNIMNVNQZ","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":"e3489aa3939ee81b16585fa28402d8286194942e02c7526cc8bdd39f2870dce4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-12-12T19:11:53Z","title_canon_sha256":"c2350631f38dca12681d7b769fc3a65631a7062c9eaca5fa00c820927ed0f1e1"},"schema_version":"1.0","source":{"id":"1912.06162","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.06162","created_at":"2026-07-05T10:44:10Z"},{"alias_kind":"arxiv_version","alias_value":"1912.06162v4","created_at":"2026-07-05T10:44:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.06162","created_at":"2026-07-05T10:44:10Z"},{"alias_kind":"pith_short_12","alias_value":"EWAGH2O4SO6G","created_at":"2026-07-05T10:44:10Z"},{"alias_kind":"pith_short_16","alias_value":"EWAGH2O4SO6GQ4ZW","created_at":"2026-07-05T10:44:10Z"},{"alias_kind":"pith_short_8","alias_value":"EWAGH2O4","created_at":"2026-07-05T10:44:10Z"}],"graph_snapshots":[{"event_id":"sha256:6b7b1cf8a00fa84aaba33f51020c4cb4c5543c1bc52580d12300ed5a7fe04acd","target":"graph","created_at":"2026-07-05T10:44:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.06162/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that an algebraic stack with affine stabilizers over an arbitrary base is \\'etale-locally a quotient stack around any point with a linearly reductive stabilizer. This generalizes earlier work by the authors of this article (stacks over algebraically closed fields) and by Abramovich, Olsson and Vistoli (stacks with finite inertia). In addition, we prove a number of foundational results, which are new even over a field. These include various coherent completeness and effectivity results for adic sequences of algebraic stacks. Finally, we give several applications of our results and meth","authors_text":"David Rydh, Jack Hall, Jarod Alper","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-12-12T19:11:53Z","title":"The \\'etale local structure of algebraic stacks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.06162","kind":"arxiv","version":4},"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:aa13ba137d84b1fb860779d444e803ed277755ca1c8f0e26821506381244e1d3","target":"record","created_at":"2026-07-05T10:44:10Z","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":"e3489aa3939ee81b16585fa28402d8286194942e02c7526cc8bdd39f2870dce4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-12-12T19:11:53Z","title_canon_sha256":"c2350631f38dca12681d7b769fc3a65631a7062c9eaca5fa00c820927ed0f1e1"},"schema_version":"1.0","source":{"id":"1912.06162","kind":"arxiv","version":4}},"canonical_sha256":"258063e9dc93bc68733601da8636ad866951eb8ad49e824e150dc8ebd4b6a771","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"258063e9dc93bc68733601da8636ad866951eb8ad49e824e150dc8ebd4b6a771","first_computed_at":"2026-07-05T10:44:10.280250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:44:10.280250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"As1SXzdZKoyfnRICCdO7P2HMeDGZskL2jt/pojfmxIPTuVVs1gK+aXHHowGW0EDa1jq3ujcXsKqditHHzGMlAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:44:10.280758Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.06162","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa13ba137d84b1fb860779d444e803ed277755ca1c8f0e26821506381244e1d3","sha256:6b7b1cf8a00fa84aaba33f51020c4cb4c5543c1bc52580d12300ed5a7fe04acd"],"state_sha256":"3a34a7697240e3e681396bafdefebb4d3bba73ce49871fea3eb02e4532ac4796"}