{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:XEEGRCOJVKAUTDE576I74N7N4L","short_pith_number":"pith:XEEGRCOJ","schema_version":"1.0","canonical_sha256":"b9086889c9aa81498c9dff91fe37ede2f7206dc536d3dae62c71989122d67950","source":{"kind":"arxiv","id":"2502.01119","version":1},"attestation_state":"computed","paper":{"title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT","math.RA"],"primary_cat":"math.RT","authors_text":"Andreas Bode","submitted_at":"2025-02-03T07:20:32Z","abstract_excerpt":"We discuss an \"almost\" version of Auslander regularity and use it to prove the Auslander regularity of various Banach algebras over non-discretely valued fields appearing naturally in $p$-adic locally analytic representation theory: completed Weyl algebras, the completed enveloping algebra of a Lie algebra, and the Banach completion of the distribution algebra $D(G, K)$ for a compact $p$-adic Lie group $G$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2502.01119","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-02-03T07:20:32Z","cross_cats_sorted":["math.NT","math.RA"],"title_canon_sha256":"6750bc6f81c3acd9b80eaa1c46b664d35e23b87dca28abd7ece4e4d18b6c116a","abstract_canon_sha256":"5920f610d34e9e522cbc66c0e2e9aac57ad8dfa54fbcdbe1cb1ce13b302ff61c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:08:43.076224Z","signature_b64":"QWZgR9h/HqVOkeT/fh5419r8kyXyEUn1tY88S7PuMO2VtjTXno5sYFVDHOvG0tAq/+o0pZtTUnuRhoZVACdjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9086889c9aa81498c9dff91fe37ede2f7206dc536d3dae62c71989122d67950","last_reissued_at":"2026-07-05T10:08:43.075741Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:08:43.075741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT","math.RA"],"primary_cat":"math.RT","authors_text":"Andreas Bode","submitted_at":"2025-02-03T07:20:32Z","abstract_excerpt":"We discuss an \"almost\" version of Auslander regularity and use it to prove the Auslander regularity of various Banach algebras over non-discretely valued fields appearing naturally in $p$-adic locally analytic representation theory: completed Weyl algebras, the completed enveloping algebra of a Lie algebra, and the Banach completion of the distribution algebra $D(G, K)$ for a compact $p$-adic Lie group $G$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.01119","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.01119/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2502.01119","created_at":"2026-07-05T10:08:43.075801+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.01119v1","created_at":"2026-07-05T10:08:43.075801+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.01119","created_at":"2026-07-05T10:08:43.075801+00:00"},{"alias_kind":"pith_short_12","alias_value":"XEEGRCOJVKAU","created_at":"2026-07-05T10:08:43.075801+00:00"},{"alias_kind":"pith_short_16","alias_value":"XEEGRCOJVKAUTDE5","created_at":"2026-07-05T10:08:43.075801+00:00"},{"alias_kind":"pith_short_8","alias_value":"XEEGRCOJ","created_at":"2026-07-05T10:08:43.075801+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.24173","citing_title":"On D-cap-Modules of Finite Length on Rigid Analytic Spaces","ref_index":1,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XEEGRCOJVKAUTDE576I74N7N4L","json":"https://pith.science/pith/XEEGRCOJVKAUTDE576I74N7N4L.json","graph_json":"https://pith.science/api/pith-number/XEEGRCOJVKAUTDE576I74N7N4L/graph.json","events_json":"https://pith.science/api/pith-number/XEEGRCOJVKAUTDE576I74N7N4L/events.json","paper":"https://pith.science/paper/XEEGRCOJ"},"agent_actions":{"view_html":"https://pith.science/pith/XEEGRCOJVKAUTDE576I74N7N4L","download_json":"https://pith.science/pith/XEEGRCOJVKAUTDE576I74N7N4L.json","view_paper":"https://pith.science/paper/XEEGRCOJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.01119&json=true","fetch_graph":"https://pith.science/api/pith-number/XEEGRCOJVKAUTDE576I74N7N4L/graph.json","fetch_events":"https://pith.science/api/pith-number/XEEGRCOJVKAUTDE576I74N7N4L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XEEGRCOJVKAUTDE576I74N7N4L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XEEGRCOJVKAUTDE576I74N7N4L/action/storage_attestation","attest_author":"https://pith.science/pith/XEEGRCOJVKAUTDE576I74N7N4L/action/author_attestation","sign_citation":"https://pith.science/pith/XEEGRCOJVKAUTDE576I74N7N4L/action/citation_signature","submit_replication":"https://pith.science/pith/XEEGRCOJVKAUTDE576I74N7N4L/action/replication_record"}},"created_at":"2026-07-05T10:08:43.075801+00:00","updated_at":"2026-07-05T10:08:43.075801+00:00"}