{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5CC55P3D6RJHZ2MB6IMR3LRVYL","short_pith_number":"pith:5CC55P3D","canonical_record":{"source":{"id":"1405.6125","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-23T17:07:57Z","cross_cats_sorted":[],"title_canon_sha256":"16cac6e65d278cd0c9b300115b72f4d5cdd0f5855fc7a7d461f586b9280cebfa","abstract_canon_sha256":"a2491948dde914b0447d4d41e65afc1d70d38b1e52fbe8557e0aff0c3690fd21"},"schema_version":"1.0"},"canonical_sha256":"e885debf63f4527ce981f2191dae35c2c9f96984e363d26199ecff179812c20a","source":{"kind":"arxiv","id":"1405.6125","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6125","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6125v2","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6125","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"pith_short_12","alias_value":"5CC55P3D6RJH","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5CC55P3D6RJHZ2MB","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5CC55P3D","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5CC55P3D6RJHZ2MB6IMR3LRVYL","target":"record","payload":{"canonical_record":{"source":{"id":"1405.6125","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-23T17:07:57Z","cross_cats_sorted":[],"title_canon_sha256":"16cac6e65d278cd0c9b300115b72f4d5cdd0f5855fc7a7d461f586b9280cebfa","abstract_canon_sha256":"a2491948dde914b0447d4d41e65afc1d70d38b1e52fbe8557e0aff0c3690fd21"},"schema_version":"1.0"},"canonical_sha256":"e885debf63f4527ce981f2191dae35c2c9f96984e363d26199ecff179812c20a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:22.159100Z","signature_b64":"R9TXCG71B56dSgcPLLV8s/MsRCRZBeIHGcTwIy8V3qzoEtmTrFDvKPAqoruU4Y9rl0l7kHa44r3ilVlsWgSFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e885debf63f4527ce981f2191dae35c2c9f96984e363d26199ecff179812c20a","last_reissued_at":"2026-05-18T01:22:22.158276Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:22.158276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.6125","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"owIMQumdtP1RFdiDYSXCbKwBa54LUgiN2L97ZDWIplCeCAU1qGgaDnvoTR2346aLmc+kuNyOCjVkF/eYnAv3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:47:46.635415Z"},"content_sha256":"a3d0b7f5a8bfe856fce1f3d5a9e822fcbcf91ca1c6b4afa66177ef07c1b96ccd","schema_version":"1.0","event_id":"sha256:a3d0b7f5a8bfe856fce1f3d5a9e822fcbcf91ca1c6b4afa66177ef07c1b96ccd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5CC55P3D6RJHZ2MB6IMR3LRVYL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On direct images of pluricanonical bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christian Schnell, Mihnea Popa","submitted_at":"2014-05-23T17:07:57Z","abstract_excerpt":"We show that techniques inspired by Koll\\'ar and Viehweg's study of weak positivity, combined with vanishing theorems for log-canonical pairs, lead to new consequences regarding generation and vanishing properties for direct images of pluricanonical bundles. We formulate the strongest such results as Fujita conjecture-type statements, which are then shown to govern a range of fundamental properties of direct images of pluricanonical and pluriadjoint line bundles, like effective vanishing theorems, weak positivity, or generic vanishing."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6125","kind":"arxiv","version":2},"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":"2026-05-18T01:22:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DeJ+DYHE9ZHZ+7M3oXX+KbUT6+BrYp3tTLSEGYJM3BXJs36oExNsajV28iQ84HP14ht+B5YGMc7BDvl1863+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:47:46.636078Z"},"content_sha256":"9fd3cfe8c11ab419e180e7f3db1f2a9871a8a533a7afcf7939dc43c840b34dcc","schema_version":"1.0","event_id":"sha256:9fd3cfe8c11ab419e180e7f3db1f2a9871a8a533a7afcf7939dc43c840b34dcc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5CC55P3D6RJHZ2MB6IMR3LRVYL/bundle.json","state_url":"https://pith.science/pith/5CC55P3D6RJHZ2MB6IMR3LRVYL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5CC55P3D6RJHZ2MB6IMR3LRVYL/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":"2026-05-27T15:47:46Z","links":{"resolver":"https://pith.science/pith/5CC55P3D6RJHZ2MB6IMR3LRVYL","bundle":"https://pith.science/pith/5CC55P3D6RJHZ2MB6IMR3LRVYL/bundle.json","state":"https://pith.science/pith/5CC55P3D6RJHZ2MB6IMR3LRVYL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5CC55P3D6RJHZ2MB6IMR3LRVYL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5CC55P3D6RJHZ2MB6IMR3LRVYL","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":"a2491948dde914b0447d4d41e65afc1d70d38b1e52fbe8557e0aff0c3690fd21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-23T17:07:57Z","title_canon_sha256":"16cac6e65d278cd0c9b300115b72f4d5cdd0f5855fc7a7d461f586b9280cebfa"},"schema_version":"1.0","source":{"id":"1405.6125","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6125","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6125v2","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6125","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"pith_short_12","alias_value":"5CC55P3D6RJH","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5CC55P3D6RJHZ2MB","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5CC55P3D","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:9fd3cfe8c11ab419e180e7f3db1f2a9871a8a533a7afcf7939dc43c840b34dcc","target":"graph","created_at":"2026-05-18T01:22:22Z","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 show that techniques inspired by Koll\\'ar and Viehweg's study of weak positivity, combined with vanishing theorems for log-canonical pairs, lead to new consequences regarding generation and vanishing properties for direct images of pluricanonical bundles. We formulate the strongest such results as Fujita conjecture-type statements, which are then shown to govern a range of fundamental properties of direct images of pluricanonical and pluriadjoint line bundles, like effective vanishing theorems, weak positivity, or generic vanishing.","authors_text":"Christian Schnell, Mihnea Popa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-23T17:07:57Z","title":"On direct images of pluricanonical bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6125","kind":"arxiv","version":2},"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:a3d0b7f5a8bfe856fce1f3d5a9e822fcbcf91ca1c6b4afa66177ef07c1b96ccd","target":"record","created_at":"2026-05-18T01:22:22Z","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":"a2491948dde914b0447d4d41e65afc1d70d38b1e52fbe8557e0aff0c3690fd21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-23T17:07:57Z","title_canon_sha256":"16cac6e65d278cd0c9b300115b72f4d5cdd0f5855fc7a7d461f586b9280cebfa"},"schema_version":"1.0","source":{"id":"1405.6125","kind":"arxiv","version":2}},"canonical_sha256":"e885debf63f4527ce981f2191dae35c2c9f96984e363d26199ecff179812c20a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e885debf63f4527ce981f2191dae35c2c9f96984e363d26199ecff179812c20a","first_computed_at":"2026-05-18T01:22:22.158276Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:22.158276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R9TXCG71B56dSgcPLLV8s/MsRCRZBeIHGcTwIy8V3qzoEtmTrFDvKPAqoruU4Y9rl0l7kHa44r3ilVlsWgSFBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:22.159100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.6125","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3d0b7f5a8bfe856fce1f3d5a9e822fcbcf91ca1c6b4afa66177ef07c1b96ccd","sha256:9fd3cfe8c11ab419e180e7f3db1f2a9871a8a533a7afcf7939dc43c840b34dcc"],"state_sha256":"e7576feed97b95bccfd5a849f0e44f8adb45ef7bf937880f9d7819584b492983"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CtHq2fQ2iPGYB+/oSPZHuP6zRNY6U2madjYNCQgYiPiLAGaExeySky1Nh73vlPByFvB9Ope+rKaw81daOR9qBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T15:47:46.639549Z","bundle_sha256":"003688ef45d50649e9e0f4748e774e0777da0b6d8fd4b7bb702b3455f0afccc4"}}