{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:4GV5YLBX4MGGNMHBVC65SWHZUP","short_pith_number":"pith:4GV5YLBX","canonical_record":{"source":{"id":"1512.05374","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-12-16T21:10:55Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"49965a759f1b7f1dda5fc7ad67726c9de88521c52ed99753df44d2cc9f02a196","abstract_canon_sha256":"20a189729b5943ca69f564801564103f5b3b0f9b962286fc4b89b0a39e49fb8d"},"schema_version":"1.0"},"canonical_sha256":"e1abdc2c37e30c66b0e1a8bdd958f9a3fc4b168f9bd44e334e659278fbc4697e","source":{"kind":"arxiv","id":"1512.05374","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05374","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05374v3","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05374","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"4GV5YLBX4MGG","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4GV5YLBX4MGGNMHB","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4GV5YLBX","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:4GV5YLBX4MGGNMHBVC65SWHZUP","target":"record","payload":{"canonical_record":{"source":{"id":"1512.05374","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-12-16T21:10:55Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"49965a759f1b7f1dda5fc7ad67726c9de88521c52ed99753df44d2cc9f02a196","abstract_canon_sha256":"20a189729b5943ca69f564801564103f5b3b0f9b962286fc4b89b0a39e49fb8d"},"schema_version":"1.0"},"canonical_sha256":"e1abdc2c37e30c66b0e1a8bdd958f9a3fc4b168f9bd44e334e659278fbc4697e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:43.847120Z","signature_b64":"Ak1uY6Y+c+hpzGVgY0yPoxnWGu9MUg1BWcvJaI017Ij250YuFn8l9IiWYMH50zARtCySJvWXejrEjv8OCEMcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1abdc2c37e30c66b0e1a8bdd958f9a3fc4b168f9bd44e334e659278fbc4697e","last_reissued_at":"2026-05-17T23:42:43.846350Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:43.846350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.05374","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7wzXdWvD8FDf14TJYa+PpzJXYeeTy3vE8iCq8EJRXAFT13F3D8VMn31QCQpzGlzkCE5nocn9FSxYrBR3IXaYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T08:12:05.539197Z"},"content_sha256":"19e10e9746eef3bd23f4537aee00eed2ef96a35b362e100b2b2274cf698975ef","schema_version":"1.0","event_id":"sha256:19e10e9746eef3bd23f4537aee00eed2ef96a35b362e100b2b2274cf698975ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:4GV5YLBX4MGGNMHBVC65SWHZUP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The dualizing complex of $F$-injective and Du Bois singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Bhargav Bhatt, Karl Schwede, Linquan Ma","submitted_at":"2015-12-16T21:10:55Z","abstract_excerpt":"Let $(R,m,k)$ be an excellent local ring of equal characteristic. Let $j$ be a positive integer such that $H_m^i(R)$ has finite length for every $0\\leq i <j$. We prove that if $R$ is $F$-injective in characteristic $p>0$ or Du Bois in characteristic $0$, then the truncated dualizing complex $\\tau_{>-j}\\omega_R^\\bullet$ is quasi-isomorphic to a complex of $k$-vector spaces. As a consequence, $F$-injective or Du Bois singularities with isolated non-Cohen-Macaulay locus are Buchsbaum. Moreover, when $R$ has $F$-rational or rational singularities on the punctured spectrum, we obtain stronger resul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05374","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BBfALAgOhh4nq0w4QNg2Pe+wGCzpgaZWPBT0hUDFJ6U+0FzI7lsrB904pRv7t/UHSS3krNGlqg+SJijbW8KYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T08:12:05.539752Z"},"content_sha256":"e28f11e147ca66b47bcfd63dfce6ca509585a8afa87309cdf8406a6416b1fbae","schema_version":"1.0","event_id":"sha256:e28f11e147ca66b47bcfd63dfce6ca509585a8afa87309cdf8406a6416b1fbae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4GV5YLBX4MGGNMHBVC65SWHZUP/bundle.json","state_url":"https://pith.science/pith/4GV5YLBX4MGGNMHBVC65SWHZUP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4GV5YLBX4MGGNMHBVC65SWHZUP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-12T08:12:05Z","links":{"resolver":"https://pith.science/pith/4GV5YLBX4MGGNMHBVC65SWHZUP","bundle":"https://pith.science/pith/4GV5YLBX4MGGNMHBVC65SWHZUP/bundle.json","state":"https://pith.science/pith/4GV5YLBX4MGGNMHBVC65SWHZUP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4GV5YLBX4MGGNMHBVC65SWHZUP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4GV5YLBX4MGGNMHBVC65SWHZUP","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":"20a189729b5943ca69f564801564103f5b3b0f9b962286fc4b89b0a39e49fb8d","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-12-16T21:10:55Z","title_canon_sha256":"49965a759f1b7f1dda5fc7ad67726c9de88521c52ed99753df44d2cc9f02a196"},"schema_version":"1.0","source":{"id":"1512.05374","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05374","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05374v3","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05374","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"4GV5YLBX4MGG","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4GV5YLBX4MGGNMHB","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4GV5YLBX","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:e28f11e147ca66b47bcfd63dfce6ca509585a8afa87309cdf8406a6416b1fbae","target":"graph","created_at":"2026-05-17T23:42:43Z","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":"Let $(R,m,k)$ be an excellent local ring of equal characteristic. Let $j$ be a positive integer such that $H_m^i(R)$ has finite length for every $0\\leq i <j$. We prove that if $R$ is $F$-injective in characteristic $p>0$ or Du Bois in characteristic $0$, then the truncated dualizing complex $\\tau_{>-j}\\omega_R^\\bullet$ is quasi-isomorphic to a complex of $k$-vector spaces. As a consequence, $F$-injective or Du Bois singularities with isolated non-Cohen-Macaulay locus are Buchsbaum. Moreover, when $R$ has $F$-rational or rational singularities on the punctured spectrum, we obtain stronger resul","authors_text":"Bhargav Bhatt, Karl Schwede, Linquan Ma","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-12-16T21:10:55Z","title":"The dualizing complex of $F$-injective and Du Bois singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05374","kind":"arxiv","version":3},"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":"sha256:19e10e9746eef3bd23f4537aee00eed2ef96a35b362e100b2b2274cf698975ef","target":"record","created_at":"2026-05-17T23:42:43Z","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":"20a189729b5943ca69f564801564103f5b3b0f9b962286fc4b89b0a39e49fb8d","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-12-16T21:10:55Z","title_canon_sha256":"49965a759f1b7f1dda5fc7ad67726c9de88521c52ed99753df44d2cc9f02a196"},"schema_version":"1.0","source":{"id":"1512.05374","kind":"arxiv","version":3}},"canonical_sha256":"e1abdc2c37e30c66b0e1a8bdd958f9a3fc4b168f9bd44e334e659278fbc4697e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1abdc2c37e30c66b0e1a8bdd958f9a3fc4b168f9bd44e334e659278fbc4697e","first_computed_at":"2026-05-17T23:42:43.846350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:43.846350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ak1uY6Y+c+hpzGVgY0yPoxnWGu9MUg1BWcvJaI017Ij250YuFn8l9IiWYMH50zARtCySJvWXejrEjv8OCEMcCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:43.847120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.05374","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19e10e9746eef3bd23f4537aee00eed2ef96a35b362e100b2b2274cf698975ef","sha256:e28f11e147ca66b47bcfd63dfce6ca509585a8afa87309cdf8406a6416b1fbae"],"state_sha256":"24da1951ff6dc3ddfe93844e6d3e51b610603546ba6095e6253230c5e7e0733f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ywnZPJ4kkY18iWCcfY1++vdjos7EUWtERH2SGQ0/o6wak1So4ZwG69exaxH20DaU+zorFet6/e+32lc4glJmCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T08:12:05.542810Z","bundle_sha256":"84aa894cf65b81302daa6f7d87b3b0c38a3bdca5f16435fcde9ddd039e3af760"}}