{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:S6NLNEPJ3DTSPQIXM3LFSEWICG","short_pith_number":"pith:S6NLNEPJ","canonical_record":{"source":{"id":"math/0412514","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2004-12-28T18:55:26Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"d70a3e32e318d033a0cbd7af9ac2333fa443dfa28f1acdd1fadf6315767c4833","abstract_canon_sha256":"6ce5374046d47e54c6d5fdd6973dd85bbf301fe5fa4b2a77907ae724d58f3df8"},"schema_version":"1.0"},"canonical_sha256":"979ab691e9d8e727c11766d65912c811b67a550641a5d1bfa4eb6dfb36a5b078","source":{"kind":"arxiv","id":"math/0412514","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0412514","created_at":"2026-05-18T01:38:26Z"},{"alias_kind":"arxiv_version","alias_value":"math/0412514v1","created_at":"2026-05-18T01:38:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0412514","created_at":"2026-05-18T01:38:26Z"},{"alias_kind":"pith_short_12","alias_value":"S6NLNEPJ3DTS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"S6NLNEPJ3DTSPQIX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"S6NLNEPJ","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:S6NLNEPJ3DTSPQIXM3LFSEWICG","target":"record","payload":{"canonical_record":{"source":{"id":"math/0412514","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2004-12-28T18:55:26Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"d70a3e32e318d033a0cbd7af9ac2333fa443dfa28f1acdd1fadf6315767c4833","abstract_canon_sha256":"6ce5374046d47e54c6d5fdd6973dd85bbf301fe5fa4b2a77907ae724d58f3df8"},"schema_version":"1.0"},"canonical_sha256":"979ab691e9d8e727c11766d65912c811b67a550641a5d1bfa4eb6dfb36a5b078","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:26.992422Z","signature_b64":"KVSuR81yzJ33XxQCqHRdVa4Tfy892Gxqlssek9nAWXd6lm7kmX5TIBmFX8sUgv61N1Ix4zoptHXe+Yhn0yWgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"979ab691e9d8e727c11766d65912c811b67a550641a5d1bfa4eb6dfb36a5b078","last_reissued_at":"2026-05-18T01:38:26.991817Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:26.991817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0412514","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":"2026-05-18T01:38:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i4emzWa70wjFDxKpjxeH72uishnOMW6jkRGuTu5OdNhW9GBF2RKLZDNeVmkFFKTYIZgy4CQPO9D8maWKpKY5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:18:37.544563Z"},"content_sha256":"148aa1d670d48f580016ac49b9decc96675af5e8e4f3808ed53e0c8bfc0351fc","schema_version":"1.0","event_id":"sha256:148aa1d670d48f580016ac49b9decc96675af5e8e4f3808ed53e0c8bfc0351fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:S6NLNEPJ3DTSPQIXM3LFSEWICG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric Transitions","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Michele Rossi","submitted_at":"2004-12-28T18:55:26Z","abstract_excerpt":"The purpose of this paper is to give, on one hand, a mathematical exposition of the main topological and geometrical properties of geometric transitions, on the other hand, a quick outline of their principal applications, both in mathematics and in physics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0412514","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":"2026-05-18T01:38:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F0TTPoglHCeJa2Dl2XHyg1TGrZ2OtdHqTiIebHOQhOI1nKlMYm2PY3MtBUc1pbfY/k+clAvuHPq2etQZSKktAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:18:37.545204Z"},"content_sha256":"a00b17599105b3e07e23640005cd49d09cf31a0bf7d8fb3fe82036afe830ab79","schema_version":"1.0","event_id":"sha256:a00b17599105b3e07e23640005cd49d09cf31a0bf7d8fb3fe82036afe830ab79"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S6NLNEPJ3DTSPQIXM3LFSEWICG/bundle.json","state_url":"https://pith.science/pith/S6NLNEPJ3DTSPQIXM3LFSEWICG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S6NLNEPJ3DTSPQIXM3LFSEWICG/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":"2026-05-25T22:18:37Z","links":{"resolver":"https://pith.science/pith/S6NLNEPJ3DTSPQIXM3LFSEWICG","bundle":"https://pith.science/pith/S6NLNEPJ3DTSPQIXM3LFSEWICG/bundle.json","state":"https://pith.science/pith/S6NLNEPJ3DTSPQIXM3LFSEWICG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S6NLNEPJ3DTSPQIXM3LFSEWICG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:S6NLNEPJ3DTSPQIXM3LFSEWICG","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":"6ce5374046d47e54c6d5fdd6973dd85bbf301fe5fa4b2a77907ae724d58f3df8","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"math.AG","submitted_at":"2004-12-28T18:55:26Z","title_canon_sha256":"d70a3e32e318d033a0cbd7af9ac2333fa443dfa28f1acdd1fadf6315767c4833"},"schema_version":"1.0","source":{"id":"math/0412514","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0412514","created_at":"2026-05-18T01:38:26Z"},{"alias_kind":"arxiv_version","alias_value":"math/0412514v1","created_at":"2026-05-18T01:38:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0412514","created_at":"2026-05-18T01:38:26Z"},{"alias_kind":"pith_short_12","alias_value":"S6NLNEPJ3DTS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"S6NLNEPJ3DTSPQIX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"S6NLNEPJ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:a00b17599105b3e07e23640005cd49d09cf31a0bf7d8fb3fe82036afe830ab79","target":"graph","created_at":"2026-05-18T01:38:26Z","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":"The purpose of this paper is to give, on one hand, a mathematical exposition of the main topological and geometrical properties of geometric transitions, on the other hand, a quick outline of their principal applications, both in mathematics and in physics.","authors_text":"Michele Rossi","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2004-12-28T18:55:26Z","title":"Geometric Transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0412514","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":"sha256:148aa1d670d48f580016ac49b9decc96675af5e8e4f3808ed53e0c8bfc0351fc","target":"record","created_at":"2026-05-18T01:38:26Z","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":"6ce5374046d47e54c6d5fdd6973dd85bbf301fe5fa4b2a77907ae724d58f3df8","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"math.AG","submitted_at":"2004-12-28T18:55:26Z","title_canon_sha256":"d70a3e32e318d033a0cbd7af9ac2333fa443dfa28f1acdd1fadf6315767c4833"},"schema_version":"1.0","source":{"id":"math/0412514","kind":"arxiv","version":1}},"canonical_sha256":"979ab691e9d8e727c11766d65912c811b67a550641a5d1bfa4eb6dfb36a5b078","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"979ab691e9d8e727c11766d65912c811b67a550641a5d1bfa4eb6dfb36a5b078","first_computed_at":"2026-05-18T01:38:26.991817Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:26.991817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KVSuR81yzJ33XxQCqHRdVa4Tfy892Gxqlssek9nAWXd6lm7kmX5TIBmFX8sUgv61N1Ix4zoptHXe+Yhn0yWgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:26.992422Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0412514","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:148aa1d670d48f580016ac49b9decc96675af5e8e4f3808ed53e0c8bfc0351fc","sha256:a00b17599105b3e07e23640005cd49d09cf31a0bf7d8fb3fe82036afe830ab79"],"state_sha256":"3bffa93a629f44409394b8e9bcacf599aa856031c7c6cfdc879fdc2672059409"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mM+0otRLWaTsfacGEkCkF4IQ0lfWtSUnEo6ehLJGPC1BHd+78YiUY42Ap/qebXryPtnQHrTewajlUt/RKODFAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:18:37.548807Z","bundle_sha256":"fcd1c6dd8e655087f1f385e4f31dba1faf59b676ba75650cd544e0fe89212515"}}