{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NLCSEB6OGYTMJQN7OFDOV76NRW","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":"94e7edbc47c52514039c6c03e87efe17eef82b241b6dc8f21d5d397defe4b8e4","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-01-01T00:05:48Z","title_canon_sha256":"a902ff50ecfeff0aec9da4c720753281cbff6794e2dea291a1b4a452ce98af49"},"schema_version":"1.0","source":{"id":"2401.00615","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.00615","created_at":"2026-07-05T11:33:56Z"},{"alias_kind":"arxiv_version","alias_value":"2401.00615v2","created_at":"2026-07-05T11:33:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.00615","created_at":"2026-07-05T11:33:56Z"},{"alias_kind":"pith_short_12","alias_value":"NLCSEB6OGYTM","created_at":"2026-07-05T11:33:56Z"},{"alias_kind":"pith_short_16","alias_value":"NLCSEB6OGYTMJQN7","created_at":"2026-07-05T11:33:56Z"},{"alias_kind":"pith_short_8","alias_value":"NLCSEB6O","created_at":"2026-07-05T11:33:56Z"}],"graph_snapshots":[{"event_id":"sha256:7c3f44dbdd0b310ceb52499967f7e883f577765fdb68df8454e47dc5d394cd14","target":"graph","created_at":"2026-07-05T11:33:56Z","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/2401.00615/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $X$ be an integral scheme of finite type over a complete DVR of mixed characteristic. We provide a definition of a test ideal which agrees with the multiplier ideal after inverting $p$, is computed from a sufficiently large alteration, agrees with previous mixed characteristic BCM test ideals after completing at any point of residue characteristic $p$ (up to small perturbation), and which satisfies the full suite of expected properties of a multiplier or test ideal. This object is obtained via the $p$-adic Riemann-Hilbert functor.","authors_text":"Bhargav Bhatt, Jakub Witaszek, Joe Waldron, Karl Schwede, Kevin Tucker, Linquan Ma, Rankeya Datta, Zsolt Patakfalvi","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-01-01T00:05:48Z","title":"Test ideals in mixed characteristic: a unified theory up to perturbation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.00615","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":"sha256:2865cabe29932de4f5280a4d108e89eac957321bda67bf55abf7eb1d55e685dd","target":"record","created_at":"2026-07-05T11:33:56Z","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":"94e7edbc47c52514039c6c03e87efe17eef82b241b6dc8f21d5d397defe4b8e4","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-01-01T00:05:48Z","title_canon_sha256":"a902ff50ecfeff0aec9da4c720753281cbff6794e2dea291a1b4a452ce98af49"},"schema_version":"1.0","source":{"id":"2401.00615","kind":"arxiv","version":2}},"canonical_sha256":"6ac52207ce3626c4c1bf7146eaffcd8d9ae55e46e920c6d9cabfbfe6c2252935","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ac52207ce3626c4c1bf7146eaffcd8d9ae55e46e920c6d9cabfbfe6c2252935","first_computed_at":"2026-07-05T11:33:56.839906Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:33:56.839906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O7H4O9ssOOyGS8kmXe9rEzhiSP9xY/BbRY/+H5vnrI75yK1fbAY/CTfoihrYyh1fsqcOrrTrPwbAbROCH9vzCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:33:56.840386Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.00615","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2865cabe29932de4f5280a4d108e89eac957321bda67bf55abf7eb1d55e685dd","sha256:7c3f44dbdd0b310ceb52499967f7e883f577765fdb68df8454e47dc5d394cd14"],"state_sha256":"8dd820a79cd48a3700ca89693b4cb673fe1788ededc93c7e4ac8e61d110915f4"}