{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:PQNMZPRCWOCWSANKFE2Y6TE7OW","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":"ed13cb85b7a2e49fcbd2a7b0e7882a024603859669b31968355e315dbacdbdc0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2007-03-15T17:46:06Z","title_canon_sha256":"c08e20c345bfaba8d64c7dbadc35d06fe6aee877b38c25015d9519f0be8bd805"},"schema_version":"1.0","source":{"id":"math/0703464","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0703464","created_at":"2026-05-18T03:44:13Z"},{"alias_kind":"arxiv_version","alias_value":"math/0703464v2","created_at":"2026-05-18T03:44:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0703464","created_at":"2026-05-18T03:44:13Z"},{"alias_kind":"pith_short_12","alias_value":"PQNMZPRCWOCW","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"PQNMZPRCWOCWSANK","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"PQNMZPRC","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:9bb5b82c8cc4d47c28b342b047a3ef6c9c4ee7fa02664cca1573e987bbd6abe0","target":"graph","created_at":"2026-05-18T03:44:13Z","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":"Given a compact p-adic Lie group we show that its distribution algebra is Frechet-Stein with Auslander regular Banach algebras. As an application, we show that nonzero coadmissible modules coming from smooth or, more general, U(g)-finite representations have maximal codimension.","authors_text":"Tobias Schmidt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2007-03-15T17:46:06Z","title":"Auslander Regularity of p-adic Distribution Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0703464","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":"sha256:0845241de628eb7c289f5d3b6e1fb33b790b33a64518c440cb40f5b49aa6a874","target":"record","created_at":"2026-05-18T03:44:13Z","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":"ed13cb85b7a2e49fcbd2a7b0e7882a024603859669b31968355e315dbacdbdc0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2007-03-15T17:46:06Z","title_canon_sha256":"c08e20c345bfaba8d64c7dbadc35d06fe6aee877b38c25015d9519f0be8bd805"},"schema_version":"1.0","source":{"id":"math/0703464","kind":"arxiv","version":2}},"canonical_sha256":"7c1accbe22b3856901aa29358f4c9f758450669399a28a9eb160bd427ed81322","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c1accbe22b3856901aa29358f4c9f758450669399a28a9eb160bd427ed81322","first_computed_at":"2026-05-18T03:44:13.961859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:13.961859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lOaN48TsBTZGa9Wmuv/B2VGCLLWNEDp4STNnxo+EyBZQ0l879aQ0Xhc9Q+cx813h0uwOxnfzTmtoaoZ/c4pKDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:13.962428Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0703464","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0845241de628eb7c289f5d3b6e1fb33b790b33a64518c440cb40f5b49aa6a874","sha256:9bb5b82c8cc4d47c28b342b047a3ef6c9c4ee7fa02664cca1573e987bbd6abe0"],"state_sha256":"6e5d1f1304e3e1f664f8e820f64ef200a68601e0b61b175ae43ca3b072b68f72"}