{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XVLL7Z4WKUM54EBE2CDIFXE4IW","short_pith_number":"pith:XVLL7Z4W","canonical_record":{"source":{"id":"1407.3295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-11T20:49:39Z","cross_cats_sorted":[],"title_canon_sha256":"8a28adea657743bf3ec9da25bc4d185ca471e04a60edde566a6be11a3dee9bb9","abstract_canon_sha256":"b5dcfa02251a01b97767e5100e21b0d10863562befd2a836ec31d1aad49050ca"},"schema_version":"1.0"},"canonical_sha256":"bd56bfe7965519de1024d08682dc9c45851543bc201f417071bf4b59e3a9c718","source":{"kind":"arxiv","id":"1407.3295","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3295","created_at":"2026-05-18T02:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3295v1","created_at":"2026-05-18T02:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3295","created_at":"2026-05-18T02:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"XVLL7Z4WKUM5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XVLL7Z4WKUM54EBE","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XVLL7Z4W","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XVLL7Z4WKUM54EBE2CDIFXE4IW","target":"record","payload":{"canonical_record":{"source":{"id":"1407.3295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-11T20:49:39Z","cross_cats_sorted":[],"title_canon_sha256":"8a28adea657743bf3ec9da25bc4d185ca471e04a60edde566a6be11a3dee9bb9","abstract_canon_sha256":"b5dcfa02251a01b97767e5100e21b0d10863562befd2a836ec31d1aad49050ca"},"schema_version":"1.0"},"canonical_sha256":"bd56bfe7965519de1024d08682dc9c45851543bc201f417071bf4b59e3a9c718","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:43.419180Z","signature_b64":"HKxQsI8Av3yG5M2YCe0NIDLIxK49P1N384yOYCs2hvFBemKaCw0QMZGTpjNNjImZqgVvMio+rmjNdHXDECyjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd56bfe7965519de1024d08682dc9c45851543bc201f417071bf4b59e3a9c718","last_reissued_at":"2026-05-18T02:47:43.418427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:43.418427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.3295","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":"2026-05-18T02:47:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KxBKaZ0GpG+foq7wiVGiAthHKOF7NjBZPJMXspWCxhqJUbfdDKWMWcsLhK9Hd0+Hyy3MWs9N2sNbCDsf5sWDBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:57:36.407849Z"},"content_sha256":"b5fac0f8f5ac877109e52db1612e6d66ebb021342b06e9ee28eb75c59fdd2e7c","schema_version":"1.0","event_id":"sha256:b5fac0f8f5ac877109e52db1612e6d66ebb021342b06e9ee28eb75c59fdd2e7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XVLL7Z4WKUM54EBE2CDIFXE4IW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Saito's vanishing theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christian Schnell","submitted_at":"2014-07-11T20:49:39Z","abstract_excerpt":"We reprove Saito's vanishing theorem for mixed Hodge modules by the method of Esnault and Viehweg. The main idea is to exploit the strictness of direct images on certain branched coverings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3295","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":"2026-05-18T02:47:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QrQzOcj7yc5hQdd1gv3RV9t2UyAs9gcVgFny2BcqdiXnfDzC1nprbZZAsGMjLsLTrOdH3JBWuS20NR7ngQ6qCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:57:36.408344Z"},"content_sha256":"d14b2684656dfb237490e62b94773444081b04b162f39272a628b9ffb0b2d03d","schema_version":"1.0","event_id":"sha256:d14b2684656dfb237490e62b94773444081b04b162f39272a628b9ffb0b2d03d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XVLL7Z4WKUM54EBE2CDIFXE4IW/bundle.json","state_url":"https://pith.science/pith/XVLL7Z4WKUM54EBE2CDIFXE4IW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XVLL7Z4WKUM54EBE2CDIFXE4IW/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":"2026-05-27T16:57:36Z","links":{"resolver":"https://pith.science/pith/XVLL7Z4WKUM54EBE2CDIFXE4IW","bundle":"https://pith.science/pith/XVLL7Z4WKUM54EBE2CDIFXE4IW/bundle.json","state":"https://pith.science/pith/XVLL7Z4WKUM54EBE2CDIFXE4IW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XVLL7Z4WKUM54EBE2CDIFXE4IW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XVLL7Z4WKUM54EBE2CDIFXE4IW","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":"b5dcfa02251a01b97767e5100e21b0d10863562befd2a836ec31d1aad49050ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-11T20:49:39Z","title_canon_sha256":"8a28adea657743bf3ec9da25bc4d185ca471e04a60edde566a6be11a3dee9bb9"},"schema_version":"1.0","source":{"id":"1407.3295","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3295","created_at":"2026-05-18T02:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3295v1","created_at":"2026-05-18T02:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3295","created_at":"2026-05-18T02:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"XVLL7Z4WKUM5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XVLL7Z4WKUM54EBE","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XVLL7Z4W","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:d14b2684656dfb237490e62b94773444081b04b162f39272a628b9ffb0b2d03d","target":"graph","created_at":"2026-05-18T02:47:43Z","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":"We reprove Saito's vanishing theorem for mixed Hodge modules by the method of Esnault and Viehweg. The main idea is to exploit the strictness of direct images on certain branched coverings.","authors_text":"Christian Schnell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-11T20:49:39Z","title":"On Saito's vanishing theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3295","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:b5fac0f8f5ac877109e52db1612e6d66ebb021342b06e9ee28eb75c59fdd2e7c","target":"record","created_at":"2026-05-18T02:47:43Z","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":"b5dcfa02251a01b97767e5100e21b0d10863562befd2a836ec31d1aad49050ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-11T20:49:39Z","title_canon_sha256":"8a28adea657743bf3ec9da25bc4d185ca471e04a60edde566a6be11a3dee9bb9"},"schema_version":"1.0","source":{"id":"1407.3295","kind":"arxiv","version":1}},"canonical_sha256":"bd56bfe7965519de1024d08682dc9c45851543bc201f417071bf4b59e3a9c718","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd56bfe7965519de1024d08682dc9c45851543bc201f417071bf4b59e3a9c718","first_computed_at":"2026-05-18T02:47:43.418427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:43.418427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HKxQsI8Av3yG5M2YCe0NIDLIxK49P1N384yOYCs2hvFBemKaCw0QMZGTpjNNjImZqgVvMio+rmjNdHXDECyjBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:43.419180Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.3295","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5fac0f8f5ac877109e52db1612e6d66ebb021342b06e9ee28eb75c59fdd2e7c","sha256:d14b2684656dfb237490e62b94773444081b04b162f39272a628b9ffb0b2d03d"],"state_sha256":"1e9d6d8a448e49dcab4f8b60159609c89a0ed2f61844eaf8514cbf979216e6ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5yqjIEMDmxrq9RYIOlu7xkKI7961FrlC+lnhDvjdGIsvdXHaAeiFHtbOXlQFjzwhui+XID/qiC/EJK0NQOF9Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T16:57:36.411992Z","bundle_sha256":"96455c4b6223ceec432a846889bf64e5d25cda3ac6ea9f47746fe4b89ec152e3"}}