{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WRH3MK2KKA6DX2SYMZKPKXO5RR","short_pith_number":"pith:WRH3MK2K","canonical_record":{"source":{"id":"1305.0544","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-02T19:23:19Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"dfe788ac0ed3dd19a60f7ca0773a56bef1723e8d603b54b91a51182923997efd","abstract_canon_sha256":"3f9495e03cc878c647d7d1b9970283d9a2f9912ecedfbdfb8f266f2507423e48"},"schema_version":"1.0"},"canonical_sha256":"b44fb62b4a503c3bea586654f55ddd8c51abbaa5955915e29b2b8f62fc247003","source":{"kind":"arxiv","id":"1305.0544","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0544","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0544v3","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0544","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"pith_short_12","alias_value":"WRH3MK2KKA6D","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WRH3MK2KKA6DX2SY","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WRH3MK2K","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WRH3MK2KKA6DX2SYMZKPKXO5RR","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0544","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-02T19:23:19Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"dfe788ac0ed3dd19a60f7ca0773a56bef1723e8d603b54b91a51182923997efd","abstract_canon_sha256":"3f9495e03cc878c647d7d1b9970283d9a2f9912ecedfbdfb8f266f2507423e48"},"schema_version":"1.0"},"canonical_sha256":"b44fb62b4a503c3bea586654f55ddd8c51abbaa5955915e29b2b8f62fc247003","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:58.046304Z","signature_b64":"BDo4tgL2xSszUkKj0CA8Ox1sPjVBHAwhbt3LyiYbrnkl00xtG4ew11Pv52BYA2UuZoSHNHz1UPMw1NOyV3AfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b44fb62b4a503c3bea586654f55ddd8c51abbaa5955915e29b2b8f62fc247003","last_reissued_at":"2026-05-18T03:25:58.045766Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:58.045766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0544","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bm73gT3wYimtcocmw3VFDnl/xU2LK4LK0xjZcWfhAgQT3w1rHSt5o3QJM/MU04WmwCEAjwSyl+fOhroh/VKxCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:21:40.992297Z"},"content_sha256":"75f0b315e8a2983eeeedc9af38fa53bc528e4828af5371ea3f9901110bf3756a","schema_version":"1.0","event_id":"sha256:75f0b315e8a2983eeeedc9af38fa53bc528e4828af5371ea3f9901110bf3756a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WRH3MK2KKA6DX2SYMZKPKXO5RR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The openness conjecture for projective manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Bo Berndtsson","submitted_at":"2013-05-02T19:23:19Z","abstract_excerpt":"We give a proof of the openness conjecture of Demailly and Koll\\'ar for positively curved singular metrics on ample line bundles over projective varieties. As a corollary it follows that the openness conjecture for plurisubharmonic functions with isolated sigularities holds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0544","kind":"arxiv","version":3},"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":"2026-05-18T03:25:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ha66A1OT6TLyNJKZSMFqMYGWvUW6ct+yaGNYI5NQOoMFRa9vB4Ye96LmmTlH4+jf2wNxhfZybqUZvgVUJib0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:21:40.992663Z"},"content_sha256":"ab4414d25c14a636e5f09fc6cb35e71373cf6746230323ac81e3bcf8eeeb5b6b","schema_version":"1.0","event_id":"sha256:ab4414d25c14a636e5f09fc6cb35e71373cf6746230323ac81e3bcf8eeeb5b6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WRH3MK2KKA6DX2SYMZKPKXO5RR/bundle.json","state_url":"https://pith.science/pith/WRH3MK2KKA6DX2SYMZKPKXO5RR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WRH3MK2KKA6DX2SYMZKPKXO5RR/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":"2026-05-28T02:21:40Z","links":{"resolver":"https://pith.science/pith/WRH3MK2KKA6DX2SYMZKPKXO5RR","bundle":"https://pith.science/pith/WRH3MK2KKA6DX2SYMZKPKXO5RR/bundle.json","state":"https://pith.science/pith/WRH3MK2KKA6DX2SYMZKPKXO5RR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WRH3MK2KKA6DX2SYMZKPKXO5RR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WRH3MK2KKA6DX2SYMZKPKXO5RR","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":"3f9495e03cc878c647d7d1b9970283d9a2f9912ecedfbdfb8f266f2507423e48","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-02T19:23:19Z","title_canon_sha256":"dfe788ac0ed3dd19a60f7ca0773a56bef1723e8d603b54b91a51182923997efd"},"schema_version":"1.0","source":{"id":"1305.0544","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0544","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0544v3","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0544","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"pith_short_12","alias_value":"WRH3MK2KKA6D","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WRH3MK2KKA6DX2SY","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WRH3MK2K","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:ab4414d25c14a636e5f09fc6cb35e71373cf6746230323ac81e3bcf8eeeb5b6b","target":"graph","created_at":"2026-05-18T03:25:58Z","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 a proof of the openness conjecture of Demailly and Koll\\'ar for positively curved singular metrics on ample line bundles over projective varieties. As a corollary it follows that the openness conjecture for plurisubharmonic functions with isolated sigularities holds.","authors_text":"Bo Berndtsson","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-02T19:23:19Z","title":"The openness conjecture for projective manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0544","kind":"arxiv","version":3},"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":"sha256:75f0b315e8a2983eeeedc9af38fa53bc528e4828af5371ea3f9901110bf3756a","target":"record","created_at":"2026-05-18T03:25:58Z","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":"3f9495e03cc878c647d7d1b9970283d9a2f9912ecedfbdfb8f266f2507423e48","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-02T19:23:19Z","title_canon_sha256":"dfe788ac0ed3dd19a60f7ca0773a56bef1723e8d603b54b91a51182923997efd"},"schema_version":"1.0","source":{"id":"1305.0544","kind":"arxiv","version":3}},"canonical_sha256":"b44fb62b4a503c3bea586654f55ddd8c51abbaa5955915e29b2b8f62fc247003","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b44fb62b4a503c3bea586654f55ddd8c51abbaa5955915e29b2b8f62fc247003","first_computed_at":"2026-05-18T03:25:58.045766Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:58.045766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BDo4tgL2xSszUkKj0CA8Ox1sPjVBHAwhbt3LyiYbrnkl00xtG4ew11Pv52BYA2UuZoSHNHz1UPMw1NOyV3AfCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:58.046304Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0544","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75f0b315e8a2983eeeedc9af38fa53bc528e4828af5371ea3f9901110bf3756a","sha256:ab4414d25c14a636e5f09fc6cb35e71373cf6746230323ac81e3bcf8eeeb5b6b"],"state_sha256":"57d0ce860ff446a6a94cd5f2d7dac7e973a4d94aacec506e1d536bd6ed774e98"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4lC0UPQBZrrdLsjOHeaR78T8RrZ8rL8yZYDvfVOXHgICeM/sDAv+A1OVk2tRgKqUB4yfd5GpcGBqn5uxRdUWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T02:21:40.994638Z","bundle_sha256":"5f4e70ab9b49848b8e546a73d3c7cbb0051ee6d158fa88556fe976e29c94d851"}}