{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:Y2RQISQW52MXXFSVJMQND2OGKF","short_pith_number":"pith:Y2RQISQW","canonical_record":{"source":{"id":"math/0508332","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2005-08-17T18:43:11Z","cross_cats_sorted":[],"title_canon_sha256":"b8f975690dcc5a90eb468f9769a97323b8d59c11333728886c0e2c7e1fda26d4","abstract_canon_sha256":"52d4674ba53433c7bb0ed5592fcac49611a8af971b65f58b4d576ea8f137b1f8"},"schema_version":"1.0"},"canonical_sha256":"c6a3044a16ee997b96554b20d1e9c6517a5afecd35ddd56fe626f9644844250f","source":{"kind":"arxiv","id":"math/0508332","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0508332","created_at":"2026-07-04T14:59:27Z"},{"alias_kind":"arxiv_version","alias_value":"math/0508332v3","created_at":"2026-07-04T14:59:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0508332","created_at":"2026-07-04T14:59:27Z"},{"alias_kind":"pith_short_12","alias_value":"Y2RQISQW52MX","created_at":"2026-07-04T14:59:27Z"},{"alias_kind":"pith_short_16","alias_value":"Y2RQISQW52MXXFSV","created_at":"2026-07-04T14:59:27Z"},{"alias_kind":"pith_short_8","alias_value":"Y2RQISQW","created_at":"2026-07-04T14:59:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:Y2RQISQW52MXXFSVJMQND2OGKF","target":"record","payload":{"canonical_record":{"source":{"id":"math/0508332","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2005-08-17T18:43:11Z","cross_cats_sorted":[],"title_canon_sha256":"b8f975690dcc5a90eb468f9769a97323b8d59c11333728886c0e2c7e1fda26d4","abstract_canon_sha256":"52d4674ba53433c7bb0ed5592fcac49611a8af971b65f58b4d576ea8f137b1f8"},"schema_version":"1.0"},"canonical_sha256":"c6a3044a16ee997b96554b20d1e9c6517a5afecd35ddd56fe626f9644844250f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:59:27.093840Z","signature_b64":"s7YRCNTAHIPmqoQO+4WWZxDI0nF9CWyVAi/mLKwGXcU92lBQWnji6637zb4jDQ84QkLMQaDefnvZSlGvxPpUBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6a3044a16ee997b96554b20d1e9c6517a5afecd35ddd56fe626f9644844250f","last_reissued_at":"2026-07-04T14:59:27.093499Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:59:27.093499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0508332","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":"2026-07-04T14:59:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jo8p1Y/K6PPg2yTg4sim78rXLP9Ic2kxQGqk5YlyaM3C34pX4I+nsYniqutlH1/vdIDiZyltYtwW6CC5q8kgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:32:51.196609Z"},"content_sha256":"7f828e228e2eb27c12255a3f8b238121597c35d973f32066818718969a1031e0","schema_version":"1.0","event_id":"sha256:7f828e228e2eb27c12255a3f8b238121597c35d973f32066818718969a1031e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:Y2RQISQW52MXXFSVJMQND2OGKF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resolution of Singularities -- Seattle Lecture","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"J\\'anos Koll\\'ar (Princeton Univ)","submitted_at":"2005-08-17T18:43:11Z","abstract_excerpt":"These are the notes for my lecture ``Resolution of Sigularities in Charcteristic 0\" given at the AMS Summer Institute at Seattle. It gives a self contained proof of the strong Hironaka resolution theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0508332","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0508332/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:59:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O5ZwrSPAsd6xBZac+xhX++J0xDiI5pniWVPO3C3TRmOJ6Ap47s1OdbVFwNvg893bw1wKQRvgLNktQDWforuaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:32:51.197189Z"},"content_sha256":"3a30c90e4c3ff1f41fde003145105922f0ab5d9c62abff6921d9c3a1410cdd73","schema_version":"1.0","event_id":"sha256:3a30c90e4c3ff1f41fde003145105922f0ab5d9c62abff6921d9c3a1410cdd73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y2RQISQW52MXXFSVJMQND2OGKF/bundle.json","state_url":"https://pith.science/pith/Y2RQISQW52MXXFSVJMQND2OGKF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y2RQISQW52MXXFSVJMQND2OGKF/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":"2026-08-04T05:32:51Z","links":{"resolver":"https://pith.science/pith/Y2RQISQW52MXXFSVJMQND2OGKF","bundle":"https://pith.science/pith/Y2RQISQW52MXXFSVJMQND2OGKF/bundle.json","state":"https://pith.science/pith/Y2RQISQW52MXXFSVJMQND2OGKF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y2RQISQW52MXXFSVJMQND2OGKF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:Y2RQISQW52MXXFSVJMQND2OGKF","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":"52d4674ba53433c7bb0ed5592fcac49611a8af971b65f58b4d576ea8f137b1f8","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2005-08-17T18:43:11Z","title_canon_sha256":"b8f975690dcc5a90eb468f9769a97323b8d59c11333728886c0e2c7e1fda26d4"},"schema_version":"1.0","source":{"id":"math/0508332","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0508332","created_at":"2026-07-04T14:59:27Z"},{"alias_kind":"arxiv_version","alias_value":"math/0508332v3","created_at":"2026-07-04T14:59:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0508332","created_at":"2026-07-04T14:59:27Z"},{"alias_kind":"pith_short_12","alias_value":"Y2RQISQW52MX","created_at":"2026-07-04T14:59:27Z"},{"alias_kind":"pith_short_16","alias_value":"Y2RQISQW52MXXFSV","created_at":"2026-07-04T14:59:27Z"},{"alias_kind":"pith_short_8","alias_value":"Y2RQISQW","created_at":"2026-07-04T14:59:27Z"}],"graph_snapshots":[{"event_id":"sha256:3a30c90e4c3ff1f41fde003145105922f0ab5d9c62abff6921d9c3a1410cdd73","target":"graph","created_at":"2026-07-04T14:59:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0508332/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"These are the notes for my lecture ``Resolution of Sigularities in Charcteristic 0\" given at the AMS Summer Institute at Seattle. It gives a self contained proof of the strong Hironaka resolution theorem.","authors_text":"J\\'anos Koll\\'ar (Princeton Univ)","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2005-08-17T18:43:11Z","title":"Resolution of Singularities -- Seattle Lecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0508332","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":"sha256:7f828e228e2eb27c12255a3f8b238121597c35d973f32066818718969a1031e0","target":"record","created_at":"2026-07-04T14:59:27Z","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":"52d4674ba53433c7bb0ed5592fcac49611a8af971b65f58b4d576ea8f137b1f8","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2005-08-17T18:43:11Z","title_canon_sha256":"b8f975690dcc5a90eb468f9769a97323b8d59c11333728886c0e2c7e1fda26d4"},"schema_version":"1.0","source":{"id":"math/0508332","kind":"arxiv","version":3}},"canonical_sha256":"c6a3044a16ee997b96554b20d1e9c6517a5afecd35ddd56fe626f9644844250f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6a3044a16ee997b96554b20d1e9c6517a5afecd35ddd56fe626f9644844250f","first_computed_at":"2026-07-04T14:59:27.093499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:59:27.093499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s7YRCNTAHIPmqoQO+4WWZxDI0nF9CWyVAi/mLKwGXcU92lBQWnji6637zb4jDQ84QkLMQaDefnvZSlGvxPpUBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:59:27.093840Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0508332","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f828e228e2eb27c12255a3f8b238121597c35d973f32066818718969a1031e0","sha256:3a30c90e4c3ff1f41fde003145105922f0ab5d9c62abff6921d9c3a1410cdd73"],"state_sha256":"1f3560a1e5ff579ebdca3e1a1da58b9807f03cc6f39e1fdcd6727dc2a83093bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YY1wKDy8eiWsV3gFW/x9QVcUs+1F9yVah9c18VgZf8j4iK5fHFJ5wPb+QqCVjbpvhnLgtkVDzAFTZcv2J/F1Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T05:32:51.201201Z","bundle_sha256":"d8b68af610dcccc6ba51b64d8eff95f7f87683b038075324085887625d0439ac"}}