{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:F7QONQYJBS2LRK7EMZBEDI3MX2","short_pith_number":"pith:F7QONQYJ","canonical_record":{"source":{"id":"1404.2669","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-10T02:09:49Z","cross_cats_sorted":[],"title_canon_sha256":"88f3925181e5259be5b50b717f648904534fee0ea3ed51eeb522c30f45e69100","abstract_canon_sha256":"c9c2721d65c03e6ff48ec0b6732f06457cd3f31adb529ea5a44964fee52e1fe8"},"schema_version":"1.0"},"canonical_sha256":"2fe0e6c3090cb4b8abe4664241a36cbe860fad49c40e772c68b5a1c8b90c77e3","source":{"kind":"arxiv","id":"1404.2669","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2669","created_at":"2026-05-18T02:54:29Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2669v1","created_at":"2026-05-18T02:54:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2669","created_at":"2026-05-18T02:54:29Z"},{"alias_kind":"pith_short_12","alias_value":"F7QONQYJBS2L","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"F7QONQYJBS2LRK7E","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"F7QONQYJ","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:F7QONQYJBS2LRK7EMZBEDI3MX2","target":"record","payload":{"canonical_record":{"source":{"id":"1404.2669","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-10T02:09:49Z","cross_cats_sorted":[],"title_canon_sha256":"88f3925181e5259be5b50b717f648904534fee0ea3ed51eeb522c30f45e69100","abstract_canon_sha256":"c9c2721d65c03e6ff48ec0b6732f06457cd3f31adb529ea5a44964fee52e1fe8"},"schema_version":"1.0"},"canonical_sha256":"2fe0e6c3090cb4b8abe4664241a36cbe860fad49c40e772c68b5a1c8b90c77e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:29.851354Z","signature_b64":"s2uIi33FKCtM0CShWpc0hNxXH/mPV/GLIxxc60ZwLQ3PnsYO/k9gMPFci+UEN6mIJr6VJEINqgq8Hb9O2zomAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fe0e6c3090cb4b8abe4664241a36cbe860fad49c40e772c68b5a1c8b90c77e3","last_reissued_at":"2026-05-18T02:54:29.850822Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:29.850822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.2669","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":"2026-05-18T02:54:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8uAVdxqKxrTrIVmVQfBtKcaIReeCS2IirnhYIsimmPRNL52gWfjDJa9XX+6OTUqvQGJON9TcAmZOl4X8v+53CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:34:53.227758Z"},"content_sha256":"af7598226456752d28c66ade2b1c691ed882e8094e4cfa919011c20d0dcd96dc","schema_version":"1.0","event_id":"sha256:af7598226456752d28c66ade2b1c691ed882e8094e4cfa919011c20d0dcd96dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:F7QONQYJBS2LRK7EMZBEDI3MX2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the generic vanishing theorem of Cartier modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alan Marc Watson, Yuchen Zhang","submitted_at":"2014-04-10T02:09:49Z","abstract_excerpt":"We generalize the Generic Vanishing theorem by Hacon and Patakfalvi in the spirit of Pareschi and Popa. We give several examples illustrating the pathologies appearing in the positive characteristic setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2669","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":"2026-05-18T02:54:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OEITsQA8/4DFpLddPkW/Y8Rc6b40vBfrLoPjlHzsvL722ma/o+upRqJOCSwJm6MTa/ykqJ9xk/aq2TL06rcABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:34:53.228347Z"},"content_sha256":"87c5361a4fe5e4f99271e5b05201d669370000d9402f4c7611bb1b018baf765d","schema_version":"1.0","event_id":"sha256:87c5361a4fe5e4f99271e5b05201d669370000d9402f4c7611bb1b018baf765d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F7QONQYJBS2LRK7EMZBEDI3MX2/bundle.json","state_url":"https://pith.science/pith/F7QONQYJBS2LRK7EMZBEDI3MX2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F7QONQYJBS2LRK7EMZBEDI3MX2/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":"2026-06-06T15:34:53Z","links":{"resolver":"https://pith.science/pith/F7QONQYJBS2LRK7EMZBEDI3MX2","bundle":"https://pith.science/pith/F7QONQYJBS2LRK7EMZBEDI3MX2/bundle.json","state":"https://pith.science/pith/F7QONQYJBS2LRK7EMZBEDI3MX2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F7QONQYJBS2LRK7EMZBEDI3MX2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:F7QONQYJBS2LRK7EMZBEDI3MX2","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":"c9c2721d65c03e6ff48ec0b6732f06457cd3f31adb529ea5a44964fee52e1fe8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-10T02:09:49Z","title_canon_sha256":"88f3925181e5259be5b50b717f648904534fee0ea3ed51eeb522c30f45e69100"},"schema_version":"1.0","source":{"id":"1404.2669","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2669","created_at":"2026-05-18T02:54:29Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2669v1","created_at":"2026-05-18T02:54:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2669","created_at":"2026-05-18T02:54:29Z"},{"alias_kind":"pith_short_12","alias_value":"F7QONQYJBS2L","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"F7QONQYJBS2LRK7E","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"F7QONQYJ","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:87c5361a4fe5e4f99271e5b05201d669370000d9402f4c7611bb1b018baf765d","target":"graph","created_at":"2026-05-18T02:54:29Z","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 generalize the Generic Vanishing theorem by Hacon and Patakfalvi in the spirit of Pareschi and Popa. We give several examples illustrating the pathologies appearing in the positive characteristic setting.","authors_text":"Alan Marc Watson, Yuchen Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-10T02:09:49Z","title":"On the generic vanishing theorem of Cartier modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2669","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:af7598226456752d28c66ade2b1c691ed882e8094e4cfa919011c20d0dcd96dc","target":"record","created_at":"2026-05-18T02:54:29Z","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":"c9c2721d65c03e6ff48ec0b6732f06457cd3f31adb529ea5a44964fee52e1fe8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-10T02:09:49Z","title_canon_sha256":"88f3925181e5259be5b50b717f648904534fee0ea3ed51eeb522c30f45e69100"},"schema_version":"1.0","source":{"id":"1404.2669","kind":"arxiv","version":1}},"canonical_sha256":"2fe0e6c3090cb4b8abe4664241a36cbe860fad49c40e772c68b5a1c8b90c77e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fe0e6c3090cb4b8abe4664241a36cbe860fad49c40e772c68b5a1c8b90c77e3","first_computed_at":"2026-05-18T02:54:29.850822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:29.850822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s2uIi33FKCtM0CShWpc0hNxXH/mPV/GLIxxc60ZwLQ3PnsYO/k9gMPFci+UEN6mIJr6VJEINqgq8Hb9O2zomAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:29.851354Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.2669","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af7598226456752d28c66ade2b1c691ed882e8094e4cfa919011c20d0dcd96dc","sha256:87c5361a4fe5e4f99271e5b05201d669370000d9402f4c7611bb1b018baf765d"],"state_sha256":"ad7059962fd89c38811e82944cae7c5aa5d34964aed3ea7ca96442f0175fd196"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CnkkYqlzsViOazMyEZEnSsoi/Sj3SZtjh5A2zTlTPfzJbTC0jjbdyjd1UZBYe/pVO+ONZiF1qT6kUw7IVDvGDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T15:34:53.231207Z","bundle_sha256":"1547d1c6884e226f0d9ae7c298143e358f80f50aedcdfb689668d281899eff56"}}