{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:UQPCIPWJJFZ66I4PNIZGCAV6DE","short_pith_number":"pith:UQPCIPWJ","canonical_record":{"source":{"id":"1405.0989","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-05-05T19:02:05Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"381560b334045b1cafd364957b29894597ca921c5e17fce38f4d1167613ec5a5","abstract_canon_sha256":"fc2373957f1759542c964bbbbd39614f055ac25746399462de9bead57db04311"},"schema_version":"1.0"},"canonical_sha256":"a41e243ec94973ef238f6a326102be190769a419a01e61683dd451489c2a68bf","source":{"kind":"arxiv","id":"1405.0989","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0989","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0989v1","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0989","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"pith_short_12","alias_value":"UQPCIPWJJFZ6","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UQPCIPWJJFZ66I4P","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UQPCIPWJ","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:UQPCIPWJJFZ66I4PNIZGCAV6DE","target":"record","payload":{"canonical_record":{"source":{"id":"1405.0989","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-05-05T19:02:05Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"381560b334045b1cafd364957b29894597ca921c5e17fce38f4d1167613ec5a5","abstract_canon_sha256":"fc2373957f1759542c964bbbbd39614f055ac25746399462de9bead57db04311"},"schema_version":"1.0"},"canonical_sha256":"a41e243ec94973ef238f6a326102be190769a419a01e61683dd451489c2a68bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:40.307527Z","signature_b64":"WkZqijVMZT+hT3yb0+UMM5wTRVFOVh7Gd/ijhzftlYiOxkLT8njiRMyEf98SWGIssb73Pcsuv8HFbX6RfOgnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a41e243ec94973ef238f6a326102be190769a419a01e61683dd451489c2a68bf","last_reissued_at":"2026-05-18T02:52:40.307116Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:40.307116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.0989","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":"2026-05-18T02:52:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eGJmCobgiCt3SiVk4O8f/ZCOjMJy80EM0mYQqDVAlRz/cd9d2YcumkNFEWXKM4oy/pIwQ5qZY51IaoEG5rOpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:41:15.415203Z"},"content_sha256":"7e26dc068af782cfff711c20748c7c49a77c782fc206c5db3f208d697f106e9b","schema_version":"1.0","event_id":"sha256:7e26dc068af782cfff711c20748c7c49a77c782fc206c5db3f208d697f106e9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:UQPCIPWJJFZ66I4PNIZGCAV6DE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The openness conjecture and complex Brunn-Minkowski inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Bo Berndtsson","submitted_at":"2014-05-05T19:02:05Z","abstract_excerpt":"We discuss recent versions of the Brunn-Minkowski inequality in the complex setting, and use it to prove the openness conjecture of Demailly and Koll\\'ar."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0989","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":"2026-05-18T02:52:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0XXv8iaB5LBYRktiUKo2c0vs01oACy51eeHZWOTk6oM084h+iaHcsERoCsyrM0wqPoEqzJY+iKrpe/sNrpQfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:41:15.415598Z"},"content_sha256":"a8682d8d5d53123ac75d4e9135e2ea4e27ea4a9d4f1f2b658c5286704526f9c3","schema_version":"1.0","event_id":"sha256:a8682d8d5d53123ac75d4e9135e2ea4e27ea4a9d4f1f2b658c5286704526f9c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UQPCIPWJJFZ66I4PNIZGCAV6DE/bundle.json","state_url":"https://pith.science/pith/UQPCIPWJJFZ66I4PNIZGCAV6DE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UQPCIPWJJFZ66I4PNIZGCAV6DE/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":"2026-05-28T02:41:15Z","links":{"resolver":"https://pith.science/pith/UQPCIPWJJFZ66I4PNIZGCAV6DE","bundle":"https://pith.science/pith/UQPCIPWJJFZ66I4PNIZGCAV6DE/bundle.json","state":"https://pith.science/pith/UQPCIPWJJFZ66I4PNIZGCAV6DE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UQPCIPWJJFZ66I4PNIZGCAV6DE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UQPCIPWJJFZ66I4PNIZGCAV6DE","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":"fc2373957f1759542c964bbbbd39614f055ac25746399462de9bead57db04311","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-05-05T19:02:05Z","title_canon_sha256":"381560b334045b1cafd364957b29894597ca921c5e17fce38f4d1167613ec5a5"},"schema_version":"1.0","source":{"id":"1405.0989","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0989","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0989v1","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0989","created_at":"2026-05-18T02:52:40Z"},{"alias_kind":"pith_short_12","alias_value":"UQPCIPWJJFZ6","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UQPCIPWJJFZ66I4P","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UQPCIPWJ","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:a8682d8d5d53123ac75d4e9135e2ea4e27ea4a9d4f1f2b658c5286704526f9c3","target":"graph","created_at":"2026-05-18T02:52:40Z","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 discuss recent versions of the Brunn-Minkowski inequality in the complex setting, and use it to prove the openness conjecture of Demailly and Koll\\'ar.","authors_text":"Bo Berndtsson","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-05-05T19:02:05Z","title":"The openness conjecture and complex Brunn-Minkowski inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0989","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":"sha256:7e26dc068af782cfff711c20748c7c49a77c782fc206c5db3f208d697f106e9b","target":"record","created_at":"2026-05-18T02:52:40Z","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":"fc2373957f1759542c964bbbbd39614f055ac25746399462de9bead57db04311","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-05-05T19:02:05Z","title_canon_sha256":"381560b334045b1cafd364957b29894597ca921c5e17fce38f4d1167613ec5a5"},"schema_version":"1.0","source":{"id":"1405.0989","kind":"arxiv","version":1}},"canonical_sha256":"a41e243ec94973ef238f6a326102be190769a419a01e61683dd451489c2a68bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a41e243ec94973ef238f6a326102be190769a419a01e61683dd451489c2a68bf","first_computed_at":"2026-05-18T02:52:40.307116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:40.307116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WkZqijVMZT+hT3yb0+UMM5wTRVFOVh7Gd/ijhzftlYiOxkLT8njiRMyEf98SWGIssb73Pcsuv8HFbX6RfOgnAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:40.307527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0989","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e26dc068af782cfff711c20748c7c49a77c782fc206c5db3f208d697f106e9b","sha256:a8682d8d5d53123ac75d4e9135e2ea4e27ea4a9d4f1f2b658c5286704526f9c3"],"state_sha256":"ee5a0e62d4dc658cdea8d0eb8ef44eeae11899a78bbac8fe16a413e88b782c19"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EO/llttVqZY/qjce9fVn5YC9rKw+uOGHmZr7iVeEwtd+vd8jHAET5pVgoAYsym3geatUHNrU1CbYhcauhA5oBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T02:41:15.417625Z","bundle_sha256":"7b9d64b21be6ccfc4f162da627be9878c37fb7a38b77338783e07847376a114b"}}