{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:ZLB3ST7RVGVDZK24XBUZP6X4JC","short_pith_number":"pith:ZLB3ST7R","canonical_record":{"source":{"id":"0905.3424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-21T14:04:21Z","cross_cats_sorted":[],"title_canon_sha256":"2050668c7b83ec71af8e111619d9a6394535c299eedc09cd6bc5ce399ee33eb8","abstract_canon_sha256":"f06f62b4761f6b17f38d4a3c7fb178d23fe68c5a8bda6111c09d054ceb980453"},"schema_version":"1.0"},"canonical_sha256":"cac3b94ff1a9aa3cab5cb86997fafc48aba3cee406d15cd1257880f6e3012f64","source":{"kind":"arxiv","id":"0905.3424","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3424","created_at":"2026-07-04T15:42:48Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3424v1","created_at":"2026-07-04T15:42:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3424","created_at":"2026-07-04T15:42:48Z"},{"alias_kind":"pith_short_12","alias_value":"ZLB3ST7RVGVD","created_at":"2026-07-04T15:42:48Z"},{"alias_kind":"pith_short_16","alias_value":"ZLB3ST7RVGVDZK24","created_at":"2026-07-04T15:42:48Z"},{"alias_kind":"pith_short_8","alias_value":"ZLB3ST7R","created_at":"2026-07-04T15:42:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:ZLB3ST7RVGVDZK24XBUZP6X4JC","target":"record","payload":{"canonical_record":{"source":{"id":"0905.3424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-21T14:04:21Z","cross_cats_sorted":[],"title_canon_sha256":"2050668c7b83ec71af8e111619d9a6394535c299eedc09cd6bc5ce399ee33eb8","abstract_canon_sha256":"f06f62b4761f6b17f38d4a3c7fb178d23fe68c5a8bda6111c09d054ceb980453"},"schema_version":"1.0"},"canonical_sha256":"cac3b94ff1a9aa3cab5cb86997fafc48aba3cee406d15cd1257880f6e3012f64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:42:48.840579Z","signature_b64":"VGY62DwiLKoPShFI3+31KkS931SStbsMzwag6xY2vCIczHFB7rOO6Y06srLuDfyt/CeGpBkUvw9KYSNZH4okCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cac3b94ff1a9aa3cab5cb86997fafc48aba3cee406d15cd1257880f6e3012f64","last_reissued_at":"2026-07-04T15:42:48.840196Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:42:48.840196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.3424","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":"2026-07-04T15:42:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gkUapiMA2HDCOgRqaGIvKM8H23OK2tx9r9UFsDnALytz80YJbf8JO+FIQwDjXn7f9o5u6hbqEsq7XCdQK4TzBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:17:51.774657Z"},"content_sha256":"628bf00676120ceaad1b6c89a4f05703e500ae414741c9aa8a1aa3e83071ed24","schema_version":"1.0","event_id":"sha256:628bf00676120ceaad1b6c89a4f05703e500ae414741c9aa8a1aa3e83071ed24"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:ZLB3ST7RVGVDZK24XBUZP6X4JC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence of Calabi-Yau manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Wei-Dong Ruan, Yuguang Zhang","submitted_at":"2009-05-21T14:04:21Z","abstract_excerpt":"In this paper, we study the convergence of Calabi-Yau manifolds under K\\\"{a}hler degeneration to orbifold singularities and complex degeneration to canonical singularities (including the conifold singularities), and the collapsing of a family of Calabi-Yau manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3424","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0905.3424/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":"2026-07-04T15:42:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cQWR5Sw0zfQOH861uwxZ26fSd3DYjDV8h3u+8QxAF2/kmOp3okWUQkAn+Ib7Nqb9i64vUL9I5EbJJSfKJg/mAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:17:51.775738Z"},"content_sha256":"ebf3bac45d890ed6162a3acd1a94369c98ac14954b5dd7cd4ac4f0475f907cf0","schema_version":"1.0","event_id":"sha256:ebf3bac45d890ed6162a3acd1a94369c98ac14954b5dd7cd4ac4f0475f907cf0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZLB3ST7RVGVDZK24XBUZP6X4JC/bundle.json","state_url":"https://pith.science/pith/ZLB3ST7RVGVDZK24XBUZP6X4JC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZLB3ST7RVGVDZK24XBUZP6X4JC/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":"2026-08-11T02:17:51Z","links":{"resolver":"https://pith.science/pith/ZLB3ST7RVGVDZK24XBUZP6X4JC","bundle":"https://pith.science/pith/ZLB3ST7RVGVDZK24XBUZP6X4JC/bundle.json","state":"https://pith.science/pith/ZLB3ST7RVGVDZK24XBUZP6X4JC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZLB3ST7RVGVDZK24XBUZP6X4JC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ZLB3ST7RVGVDZK24XBUZP6X4JC","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":"f06f62b4761f6b17f38d4a3c7fb178d23fe68c5a8bda6111c09d054ceb980453","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-21T14:04:21Z","title_canon_sha256":"2050668c7b83ec71af8e111619d9a6394535c299eedc09cd6bc5ce399ee33eb8"},"schema_version":"1.0","source":{"id":"0905.3424","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3424","created_at":"2026-07-04T15:42:48Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3424v1","created_at":"2026-07-04T15:42:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3424","created_at":"2026-07-04T15:42:48Z"},{"alias_kind":"pith_short_12","alias_value":"ZLB3ST7RVGVD","created_at":"2026-07-04T15:42:48Z"},{"alias_kind":"pith_short_16","alias_value":"ZLB3ST7RVGVDZK24","created_at":"2026-07-04T15:42:48Z"},{"alias_kind":"pith_short_8","alias_value":"ZLB3ST7R","created_at":"2026-07-04T15:42:48Z"}],"graph_snapshots":[{"event_id":"sha256:ebf3bac45d890ed6162a3acd1a94369c98ac14954b5dd7cd4ac4f0475f907cf0","target":"graph","created_at":"2026-07-04T15:42:48Z","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/0905.3424/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study the convergence of Calabi-Yau manifolds under K\\\"{a}hler degeneration to orbifold singularities and complex degeneration to canonical singularities (including the conifold singularities), and the collapsing of a family of Calabi-Yau manifolds.","authors_text":"Wei-Dong Ruan, Yuguang Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-21T14:04:21Z","title":"Convergence of Calabi-Yau manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3424","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":"sha256:628bf00676120ceaad1b6c89a4f05703e500ae414741c9aa8a1aa3e83071ed24","target":"record","created_at":"2026-07-04T15:42:48Z","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":"f06f62b4761f6b17f38d4a3c7fb178d23fe68c5a8bda6111c09d054ceb980453","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-21T14:04:21Z","title_canon_sha256":"2050668c7b83ec71af8e111619d9a6394535c299eedc09cd6bc5ce399ee33eb8"},"schema_version":"1.0","source":{"id":"0905.3424","kind":"arxiv","version":1}},"canonical_sha256":"cac3b94ff1a9aa3cab5cb86997fafc48aba3cee406d15cd1257880f6e3012f64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cac3b94ff1a9aa3cab5cb86997fafc48aba3cee406d15cd1257880f6e3012f64","first_computed_at":"2026-07-04T15:42:48.840196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:42:48.840196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VGY62DwiLKoPShFI3+31KkS931SStbsMzwag6xY2vCIczHFB7rOO6Y06srLuDfyt/CeGpBkUvw9KYSNZH4okCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:42:48.840579Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.3424","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:628bf00676120ceaad1b6c89a4f05703e500ae414741c9aa8a1aa3e83071ed24","sha256:ebf3bac45d890ed6162a3acd1a94369c98ac14954b5dd7cd4ac4f0475f907cf0"],"state_sha256":"10624733a13db04c5eeb98b669395bb6d9198731fe74d3178bbae6a0efd18b96"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wvSbDdxYjQM6TxyNnpoEFph2kEFiVnsqZiq+TTRHD6kPR2ho/2LkDu0QRTXa28tG6HG0bFbf5pcLJ+MNkgl6DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T02:17:51.782639Z","bundle_sha256":"c0246bfe5ad1f74011ee981a6872eb2c5a1d0034e513c06c4c34d50f8ad5dacc"}}