{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OPM2YUXBTYH6BMJIV7E5VK4NLL","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":"4006c3f738acef9d523a9314ff4b6d97875863ca774616e4eb27b9153361bd5e","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-21T02:04:32Z","title_canon_sha256":"d2ffa2cbdfcd431056b1dee888a11d0c4d8dd3e0eb6bb0d1a2c964f329a548c1"},"schema_version":"1.0","source":{"id":"1404.5092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5092","created_at":"2026-05-18T02:53:51Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5092v1","created_at":"2026-05-18T02:53:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5092","created_at":"2026-05-18T02:53:51Z"},{"alias_kind":"pith_short_12","alias_value":"OPM2YUXBTYH6","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"OPM2YUXBTYH6BMJI","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"OPM2YUXB","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:a792f7d898f61858b82a411ecd8b0798e8a1fe94067bef09230ceffff0da11ce","target":"graph","created_at":"2026-05-18T02:53:51Z","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":"By using Mather-Jacobian multiplier ideals, we first prove a formula on comparing Grauert-Riemenschneider canonical sheaf with canonical sheaf of a variety over an algebraically closed field of characteristic zero. Then we turn to study Mather-Jacobian multiplier ideals on algebraic curve, in which case the definition of Mather-Jacobian multiplier ideal can be extended to a ground field of any characteristic. We show that Mather-Jacobian multiplier ideal on curves is essentially the same as an integrally closed ideal. Finally by comparing conductor ideal with Mather-Jacobian multiplier ideal, ","authors_text":"Bernd Ulrich, Wenbo Niu","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-21T02:04:32Z","title":"A note on Mather-Jacobian multiplier ideals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5092","kind":"arxiv","version":1},"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":"sha256:584d2584535a3e88b6ac80775b673ef4135f3bd2d692c787453a02d07489ec46","target":"record","created_at":"2026-05-18T02:53:51Z","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":"4006c3f738acef9d523a9314ff4b6d97875863ca774616e4eb27b9153361bd5e","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-21T02:04:32Z","title_canon_sha256":"d2ffa2cbdfcd431056b1dee888a11d0c4d8dd3e0eb6bb0d1a2c964f329a548c1"},"schema_version":"1.0","source":{"id":"1404.5092","kind":"arxiv","version":1}},"canonical_sha256":"73d9ac52e19e0fe0b128afc9daab8d5ae56dfdfcec20730cd79dc45253d4abb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73d9ac52e19e0fe0b128afc9daab8d5ae56dfdfcec20730cd79dc45253d4abb4","first_computed_at":"2026-05-18T02:53:51.984593Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:51.984593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"alQ6EcQ1UP+BMrSADA1yzwP2MZur99GkPzywiiIhmRx5ttj/6AAVpSyik9VujEkf8DsMJiEj5EuI5IhfGcYgDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:51.985478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:584d2584535a3e88b6ac80775b673ef4135f3bd2d692c787453a02d07489ec46","sha256:a792f7d898f61858b82a411ecd8b0798e8a1fe94067bef09230ceffff0da11ce"],"state_sha256":"dbd942ed8786b129a5c22417c6927a0ba88f7498c7d3e8ad1340cf66b6e94836"}