{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZPA6DRUPXRYU5CEERK5AADESE2","short_pith_number":"pith:ZPA6DRUP","canonical_record":{"source":{"id":"1803.08487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T17:38:50Z","cross_cats_sorted":[],"title_canon_sha256":"b6e3d86e33eb9e035f69e22b7e82498ae388807f2f8878420b882fc96ce59713","abstract_canon_sha256":"6740d0a18c1e2a6ffd8bd3c11c3979c248c19de34509db39a739d3052dbffc61"},"schema_version":"1.0"},"canonical_sha256":"cbc1e1c68fbc714e88848aba000c9226859d4151634aa3bfd38355da8a3b39e3","source":{"kind":"arxiv","id":"1803.08487","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08487","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08487v1","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08487","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZPA6DRUPXRYU","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZPA6DRUPXRYU5CEE","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZPA6DRUP","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZPA6DRUPXRYU5CEERK5AADESE2","target":"record","payload":{"canonical_record":{"source":{"id":"1803.08487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T17:38:50Z","cross_cats_sorted":[],"title_canon_sha256":"b6e3d86e33eb9e035f69e22b7e82498ae388807f2f8878420b882fc96ce59713","abstract_canon_sha256":"6740d0a18c1e2a6ffd8bd3c11c3979c248c19de34509db39a739d3052dbffc61"},"schema_version":"1.0"},"canonical_sha256":"cbc1e1c68fbc714e88848aba000c9226859d4151634aa3bfd38355da8a3b39e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:22.723261Z","signature_b64":"vz4QXhYVokA0SK+W84htksfhrh0awcU8zvz+9OixYwIOx8YBWuCQq5PpCZHc8GBtNiHT3isbgfikbbAsFn9BCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbc1e1c68fbc714e88848aba000c9226859d4151634aa3bfd38355da8a3b39e3","last_reissued_at":"2026-05-18T00:20:22.722712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:22.722712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.08487","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":"2026-05-18T00:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kuyOYPh6SVfJ+iu6cjZqtO49oTJNUF40xa/5s6l83ufbgGqBXVdy7BrEotCer5MxW2QKsPpUEuvkR/CfVyv0Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:03:58.291182Z"},"content_sha256":"d335158f52c72347a4475f8272455093bd862700597b6511ef9420701633991f","schema_version":"1.0","event_id":"sha256:d335158f52c72347a4475f8272455093bd862700597b6511ef9420701633991f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZPA6DRUPXRYU5CEERK5AADESE2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Log-plurigenera in stable families of surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"J\\'anos Koll\\'ar","submitted_at":"2018-03-22T17:38:50Z","abstract_excerpt":"We study the flatness of log-pluricanonical sheaves on stable families of surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08487","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":"2026-05-18T00:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kM555MhYrHN8WgwhpkWoooN1juyuGtTqSjMvxVuDc07zCJIhpeeHI8CYeylZKTiGcsOWCqLXQDDAzTJ0C5gKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:03:58.291756Z"},"content_sha256":"2a9a79bc7831c5e1512312b630f32e70ec40315a851a0e733fdbf249a9286c86","schema_version":"1.0","event_id":"sha256:2a9a79bc7831c5e1512312b630f32e70ec40315a851a0e733fdbf249a9286c86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZPA6DRUPXRYU5CEERK5AADESE2/bundle.json","state_url":"https://pith.science/pith/ZPA6DRUPXRYU5CEERK5AADESE2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZPA6DRUPXRYU5CEERK5AADESE2/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":"2026-06-05T19:03:58Z","links":{"resolver":"https://pith.science/pith/ZPA6DRUPXRYU5CEERK5AADESE2","bundle":"https://pith.science/pith/ZPA6DRUPXRYU5CEERK5AADESE2/bundle.json","state":"https://pith.science/pith/ZPA6DRUPXRYU5CEERK5AADESE2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZPA6DRUPXRYU5CEERK5AADESE2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZPA6DRUPXRYU5CEERK5AADESE2","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":"6740d0a18c1e2a6ffd8bd3c11c3979c248c19de34509db39a739d3052dbffc61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T17:38:50Z","title_canon_sha256":"b6e3d86e33eb9e035f69e22b7e82498ae388807f2f8878420b882fc96ce59713"},"schema_version":"1.0","source":{"id":"1803.08487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08487","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08487v1","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08487","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZPA6DRUPXRYU","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZPA6DRUPXRYU5CEE","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZPA6DRUP","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:2a9a79bc7831c5e1512312b630f32e70ec40315a851a0e733fdbf249a9286c86","target":"graph","created_at":"2026-05-18T00:20:22Z","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 study the flatness of log-pluricanonical sheaves on stable families of surfaces.","authors_text":"J\\'anos Koll\\'ar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T17:38:50Z","title":"Log-plurigenera in stable families of surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08487","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:d335158f52c72347a4475f8272455093bd862700597b6511ef9420701633991f","target":"record","created_at":"2026-05-18T00:20:22Z","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":"6740d0a18c1e2a6ffd8bd3c11c3979c248c19de34509db39a739d3052dbffc61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-22T17:38:50Z","title_canon_sha256":"b6e3d86e33eb9e035f69e22b7e82498ae388807f2f8878420b882fc96ce59713"},"schema_version":"1.0","source":{"id":"1803.08487","kind":"arxiv","version":1}},"canonical_sha256":"cbc1e1c68fbc714e88848aba000c9226859d4151634aa3bfd38355da8a3b39e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cbc1e1c68fbc714e88848aba000c9226859d4151634aa3bfd38355da8a3b39e3","first_computed_at":"2026-05-18T00:20:22.722712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:22.722712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vz4QXhYVokA0SK+W84htksfhrh0awcU8zvz+9OixYwIOx8YBWuCQq5PpCZHc8GBtNiHT3isbgfikbbAsFn9BCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:22.723261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d335158f52c72347a4475f8272455093bd862700597b6511ef9420701633991f","sha256:2a9a79bc7831c5e1512312b630f32e70ec40315a851a0e733fdbf249a9286c86"],"state_sha256":"649f268c56ffab7068077654d4f9a54f4603d469a82f355d3f0e8debb82253f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hsSoF2MX2j3jgJmadBswkGtEL8CFIG6QN22I7/yAox78XJ2UJXAHWgTaw3oPRt4nlfoVVSyJvAPFHnKcgGz0Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:03:58.294721Z","bundle_sha256":"2a65692121ef9bc32eb720cff6839723593d830290d3035fc058622273e061e1"}}