{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:PTSBMIN3ZEQZWIVYUH37JWXFVF","short_pith_number":"pith:PTSBMIN3","canonical_record":{"source":{"id":"math/0501043","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.SG","submitted_at":"2005-01-04T09:02:21Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"8ad76da4f8f5334425c8e6ed50dc97341971cd06320735cea5efb98a8d470d3e","abstract_canon_sha256":"019259699a1cc762552ad53529975ed95f09008a908010308626b3b8b8736da7"},"schema_version":"1.0"},"canonical_sha256":"7ce41621bbc9219b22b8a1f7f4dae5a969da5dbbe06d6ce690543855a68ace72","source":{"kind":"arxiv","id":"math/0501043","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0501043","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"arxiv_version","alias_value":"math/0501043v3","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0501043","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"pith_short_12","alias_value":"PTSBMIN3ZEQZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"PTSBMIN3ZEQZWIVY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"PTSBMIN3","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:PTSBMIN3ZEQZWIVYUH37JWXFVF","target":"record","payload":{"canonical_record":{"source":{"id":"math/0501043","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.SG","submitted_at":"2005-01-04T09:02:21Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"8ad76da4f8f5334425c8e6ed50dc97341971cd06320735cea5efb98a8d470d3e","abstract_canon_sha256":"019259699a1cc762552ad53529975ed95f09008a908010308626b3b8b8736da7"},"schema_version":"1.0"},"canonical_sha256":"7ce41621bbc9219b22b8a1f7f4dae5a969da5dbbe06d6ce690543855a68ace72","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:34.177186Z","signature_b64":"vox+NU16bPHzZDVZQqcjhGTXmuM8iHUJmBfAQBTI0wh+tyLv2itJlRnvfHqe1YVAmpRnkDposfPAORbsme1PAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ce41621bbc9219b22b8a1f7f4dae5a969da5dbbe06d6ce690543855a68ace72","last_reissued_at":"2026-05-18T02:17:34.176427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:34.176427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0501043","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":"2026-05-18T02:17:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LyPGxvlD0geBrD7fb6DMJDIAUN8zWWHpqpii7SErKZ3c4X7oc9+4Nh+26iSwEFfCbhikg3F2bGVgzdp1h/kdDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:49:05.180417Z"},"content_sha256":"f134369772dfdd1f4f6206668c37b1a047de2d2b10c32d28841f54fff35d10b9","schema_version":"1.0","event_id":"sha256:f134369772dfdd1f4f6206668c37b1a047de2d2b10c32d28841f54fff35d10b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:PTSBMIN3ZEQZWIVYUH37JWXFVF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conifold transitions and Mori theory","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"math.SG","authors_text":"Alessio Corti, Ivan Smith","submitted_at":"2005-01-04T09:02:21Z","abstract_excerpt":"We show there is a symplectic conifold transition of a projective 3-fold which is not deformation equivalent to any Kaehler manifold. The key ingredient is Mori's classification of extremal rays on smooth projective 3-folds. It follows that there is a Lagrangian sphere in a projective variety which is not the vanishing cycle of any Kaehler degeneration, answering a question of Donaldson."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0501043","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":"2026-05-18T02:17:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OPTIoOD5j934BmHE5sZXeweMs957+VF4SbMQ4JPniUv4vwz7Z6T14bMLjwsKBQRJ7DCz72dTxrwh1qmrOvevDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:49:05.180766Z"},"content_sha256":"589b3516148f564c30733b41a16f0529412c51f1e492dbc81569010298d62f24","schema_version":"1.0","event_id":"sha256:589b3516148f564c30733b41a16f0529412c51f1e492dbc81569010298d62f24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PTSBMIN3ZEQZWIVYUH37JWXFVF/bundle.json","state_url":"https://pith.science/pith/PTSBMIN3ZEQZWIVYUH37JWXFVF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PTSBMIN3ZEQZWIVYUH37JWXFVF/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":"2026-06-05T15:49:05Z","links":{"resolver":"https://pith.science/pith/PTSBMIN3ZEQZWIVYUH37JWXFVF","bundle":"https://pith.science/pith/PTSBMIN3ZEQZWIVYUH37JWXFVF/bundle.json","state":"https://pith.science/pith/PTSBMIN3ZEQZWIVYUH37JWXFVF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PTSBMIN3ZEQZWIVYUH37JWXFVF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:PTSBMIN3ZEQZWIVYUH37JWXFVF","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":"019259699a1cc762552ad53529975ed95f09008a908010308626b3b8b8736da7","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.SG","submitted_at":"2005-01-04T09:02:21Z","title_canon_sha256":"8ad76da4f8f5334425c8e6ed50dc97341971cd06320735cea5efb98a8d470d3e"},"schema_version":"1.0","source":{"id":"math/0501043","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0501043","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"arxiv_version","alias_value":"math/0501043v3","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0501043","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"pith_short_12","alias_value":"PTSBMIN3ZEQZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"PTSBMIN3ZEQZWIVY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"PTSBMIN3","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:589b3516148f564c30733b41a16f0529412c51f1e492dbc81569010298d62f24","target":"graph","created_at":"2026-05-18T02:17:34Z","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 show there is a symplectic conifold transition of a projective 3-fold which is not deformation equivalent to any Kaehler manifold. The key ingredient is Mori's classification of extremal rays on smooth projective 3-folds. It follows that there is a Lagrangian sphere in a projective variety which is not the vanishing cycle of any Kaehler degeneration, answering a question of Donaldson.","authors_text":"Alessio Corti, Ivan Smith","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"math.SG","submitted_at":"2005-01-04T09:02:21Z","title":"Conifold transitions and Mori theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0501043","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:f134369772dfdd1f4f6206668c37b1a047de2d2b10c32d28841f54fff35d10b9","target":"record","created_at":"2026-05-18T02:17:34Z","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":"019259699a1cc762552ad53529975ed95f09008a908010308626b3b8b8736da7","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.SG","submitted_at":"2005-01-04T09:02:21Z","title_canon_sha256":"8ad76da4f8f5334425c8e6ed50dc97341971cd06320735cea5efb98a8d470d3e"},"schema_version":"1.0","source":{"id":"math/0501043","kind":"arxiv","version":3}},"canonical_sha256":"7ce41621bbc9219b22b8a1f7f4dae5a969da5dbbe06d6ce690543855a68ace72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ce41621bbc9219b22b8a1f7f4dae5a969da5dbbe06d6ce690543855a68ace72","first_computed_at":"2026-05-18T02:17:34.176427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:34.176427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vox+NU16bPHzZDVZQqcjhGTXmuM8iHUJmBfAQBTI0wh+tyLv2itJlRnvfHqe1YVAmpRnkDposfPAORbsme1PAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:34.177186Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0501043","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f134369772dfdd1f4f6206668c37b1a047de2d2b10c32d28841f54fff35d10b9","sha256:589b3516148f564c30733b41a16f0529412c51f1e492dbc81569010298d62f24"],"state_sha256":"8303815d49555bdc2c7867a2ad9a106d74095c6db6a604bd946cfe374a4e7bff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AubWNl+E4HQZdO2yBWBedRcuc86Xf4mPURiwtgh7eEvXIo1LXHH+bvAFVcPZ3KKo0jRZNp/N3C4pV3uJ+nPcBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T15:49:05.182725Z","bundle_sha256":"8be46b873578a74a87e1610bfaf5d9c52c25296adff79960fabf8bbd8d92ce10"}}