{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OLTRXI3ZI5DNBHNXG2YYJBOXJD","short_pith_number":"pith:OLTRXI3Z","canonical_record":{"source":{"id":"1501.00718","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AC","submitted_at":"2015-01-04T20:53:49Z","cross_cats_sorted":[],"title_canon_sha256":"4e0be27dc65221b08f944fc34129d5251cb82dc9ad32989d2688d0ca0066c16b","abstract_canon_sha256":"9892a8a9ba515ca5622a69c20d0f1c926b9b7f12c03c5f01c9b467b81a4f7f86"},"schema_version":"1.0"},"canonical_sha256":"72e71ba3794746d09db736b18485d748e60fac0b01749a05e48d21507783b320","source":{"kind":"arxiv","id":"1501.00718","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00718","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00718v1","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00718","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"OLTRXI3ZI5DN","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OLTRXI3ZI5DNBHNX","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OLTRXI3Z","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OLTRXI3ZI5DNBHNXG2YYJBOXJD","target":"record","payload":{"canonical_record":{"source":{"id":"1501.00718","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AC","submitted_at":"2015-01-04T20:53:49Z","cross_cats_sorted":[],"title_canon_sha256":"4e0be27dc65221b08f944fc34129d5251cb82dc9ad32989d2688d0ca0066c16b","abstract_canon_sha256":"9892a8a9ba515ca5622a69c20d0f1c926b9b7f12c03c5f01c9b467b81a4f7f86"},"schema_version":"1.0"},"canonical_sha256":"72e71ba3794746d09db736b18485d748e60fac0b01749a05e48d21507783b320","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:01.945918Z","signature_b64":"+4ZlBKAw0tztSdmukSNEjAhEzh1NF++0KaIA6kVMb3D/afYjmINPndwLBhPFF9XsDjY9oFJncW4uZub9FG6PAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72e71ba3794746d09db736b18485d748e60fac0b01749a05e48d21507783b320","last_reissued_at":"2026-05-18T02:30:01.945517Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:01.945517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.00718","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:30:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qdX0JO5u/I0S8n9YqQyU8C41cqWviU1mHVtV1XCVeMhA6u3Eibxp6TfqyDVY2DUHoOzvZF3LmO+8D1dv5bW5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:46:32.662115Z"},"content_sha256":"526e7d8e3725eb386c68bff33ce921c0f0b854308ab9d6d5937825093bbcc450","schema_version":"1.0","event_id":"sha256:526e7d8e3725eb386c68bff33ce921c0f0b854308ab9d6d5937825093bbcc450"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OLTRXI3ZI5DNBHNXG2YYJBOXJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on the Annihilator of local cohomology modules in characteristic zero","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Majid Eghbali","submitted_at":"2015-01-04T20:53:49Z","abstract_excerpt":"We give an alternative proof to the annihilator of local cohomology in characteristic zero which was proved by Lyubeznik."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00718","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":""},"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":"2026-05-18T02:30:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c9DFRVg+o38TT4lVNIXZwes2HzzsNEKNk0enUvTrP5qWaFRIIu9S1b/bc3dgriADdDbw+zIiLL4D57MXZhYWAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:46:32.662484Z"},"content_sha256":"3c6dbbbb7c350d8697c2e924c4ff275f8ad288397a89459f80771cb271b081f7","schema_version":"1.0","event_id":"sha256:3c6dbbbb7c350d8697c2e924c4ff275f8ad288397a89459f80771cb271b081f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OLTRXI3ZI5DNBHNXG2YYJBOXJD/bundle.json","state_url":"https://pith.science/pith/OLTRXI3ZI5DNBHNXG2YYJBOXJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OLTRXI3ZI5DNBHNXG2YYJBOXJD/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":"2026-06-02T20:46:32Z","links":{"resolver":"https://pith.science/pith/OLTRXI3ZI5DNBHNXG2YYJBOXJD","bundle":"https://pith.science/pith/OLTRXI3ZI5DNBHNXG2YYJBOXJD/bundle.json","state":"https://pith.science/pith/OLTRXI3ZI5DNBHNXG2YYJBOXJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OLTRXI3ZI5DNBHNXG2YYJBOXJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OLTRXI3ZI5DNBHNXG2YYJBOXJD","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":"9892a8a9ba515ca5622a69c20d0f1c926b9b7f12c03c5f01c9b467b81a4f7f86","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AC","submitted_at":"2015-01-04T20:53:49Z","title_canon_sha256":"4e0be27dc65221b08f944fc34129d5251cb82dc9ad32989d2688d0ca0066c16b"},"schema_version":"1.0","source":{"id":"1501.00718","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00718","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00718v1","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00718","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"OLTRXI3ZI5DN","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OLTRXI3ZI5DNBHNX","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OLTRXI3Z","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:3c6dbbbb7c350d8697c2e924c4ff275f8ad288397a89459f80771cb271b081f7","target":"graph","created_at":"2026-05-18T02:30:01Z","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":"We give an alternative proof to the annihilator of local cohomology in characteristic zero which was proved by Lyubeznik.","authors_text":"Majid Eghbali","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AC","submitted_at":"2015-01-04T20:53:49Z","title":"A note on the Annihilator of local cohomology modules in characteristic zero"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00718","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":"sha256:526e7d8e3725eb386c68bff33ce921c0f0b854308ab9d6d5937825093bbcc450","target":"record","created_at":"2026-05-18T02:30:01Z","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":"9892a8a9ba515ca5622a69c20d0f1c926b9b7f12c03c5f01c9b467b81a4f7f86","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AC","submitted_at":"2015-01-04T20:53:49Z","title_canon_sha256":"4e0be27dc65221b08f944fc34129d5251cb82dc9ad32989d2688d0ca0066c16b"},"schema_version":"1.0","source":{"id":"1501.00718","kind":"arxiv","version":1}},"canonical_sha256":"72e71ba3794746d09db736b18485d748e60fac0b01749a05e48d21507783b320","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72e71ba3794746d09db736b18485d748e60fac0b01749a05e48d21507783b320","first_computed_at":"2026-05-18T02:30:01.945517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:01.945517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+4ZlBKAw0tztSdmukSNEjAhEzh1NF++0KaIA6kVMb3D/afYjmINPndwLBhPFF9XsDjY9oFJncW4uZub9FG6PAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:01.945918Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.00718","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:526e7d8e3725eb386c68bff33ce921c0f0b854308ab9d6d5937825093bbcc450","sha256:3c6dbbbb7c350d8697c2e924c4ff275f8ad288397a89459f80771cb271b081f7"],"state_sha256":"c53a0fb05f3548707e97cbb655ae63672cc34d61017859a1331bb07530fe03cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Y9dxIcJNonL3z8pqp3FZR4TuIzIcHLxvcVJsMtbiTzoegnvurP2q4ECU/9J7c9sJRFdHOMMMc+NP7JTWnjEAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:46:32.664433Z","bundle_sha256":"5a3909a70e956b23960d1dc7938473a6492379df02c5e1abae33281fb63e5c62"}}