{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:2DU3ETGTSBR3B55HVOFFAEGZKY","short_pith_number":"pith:2DU3ETGT","canonical_record":{"source":{"id":"math/9910120","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"1999-10-22T14:22:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"071a53850a41010a5f7d2ba42ea21b47fd5e23e0e6669de6fd5ed4e5c16dca95","abstract_canon_sha256":"69ccb80eed13ce615d798d86f29f8d3c2d9e0bef952865a54f82c3abed2c317c"},"schema_version":"1.0"},"canonical_sha256":"d0e9b24cd39063b0f7a7ab8a5010d956195e63dc42aa2b75e94d78cabceb29b7","source":{"kind":"arxiv","id":"math/9910120","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9910120","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"math/9910120v2","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9910120","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"2DU3ETGTSBR3","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"2DU3ETGTSBR3B55H","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"2DU3ETGT","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:2DU3ETGTSBR3B55HVOFFAEGZKY","target":"record","payload":{"canonical_record":{"source":{"id":"math/9910120","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"1999-10-22T14:22:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"071a53850a41010a5f7d2ba42ea21b47fd5e23e0e6669de6fd5ed4e5c16dca95","abstract_canon_sha256":"69ccb80eed13ce615d798d86f29f8d3c2d9e0bef952865a54f82c3abed2c317c"},"schema_version":"1.0"},"canonical_sha256":"d0e9b24cd39063b0f7a7ab8a5010d956195e63dc42aa2b75e94d78cabceb29b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:22.343335Z","signature_b64":"6MIYExzIEbpM+/Re0mRvUFxyDlVbsOKSWTYfsTM60VfV5OlfzXZ71D5tFRNro9uABBOXvd9ozWH+jC5XPHuXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0e9b24cd39063b0f7a7ab8a5010d956195e63dc42aa2b75e94d78cabceb29b7","last_reissued_at":"2026-05-18T01:38:22.342783Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:22.342783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9910120","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5QF7YNEiDLEe40HIVZLHjG8/67q7RYf8z2hAsnPm+yfzkXZe5GOOcy9FaOATAghPK7qvcRiAifEDDVWU/tnwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:57:08.089936Z"},"content_sha256":"4881804c6f0546029e6ef8b7e57d2ec215233beb4d17bbe4a4a1b6dd3e0a313b","schema_version":"1.0","event_id":"sha256:4881804c6f0546029e6ef8b7e57d2ec215233beb4d17bbe4a4a1b6dd3e0a313b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:2DU3ETGTSBR3B55HVOFFAEGZKY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nahm transform for doubly-periodic instantons","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Marcos Jardim","submitted_at":"1999-10-22T14:22:21Z","abstract_excerpt":"We present the Nahm transform of the doubly-periodic instantons introduced in math.DG/9909069, converting them into certain meromorphic solutions of Hitchin's equations over an elliptic curve."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9910120","kind":"arxiv","version":2},"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":"2026-05-18T01:38:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yXORj/FGnJqA+jodYEFhTKyXS9xsnUMEeE78PISLbdNz6i7AKfTIqnkBfwON026LYVjDbO6J00sQ37qgkp84Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:57:08.090293Z"},"content_sha256":"2f4763d796d2f9f9fcce5f419ed7ae5e072715a4c53d193f2aef730caed5e44f","schema_version":"1.0","event_id":"sha256:2f4763d796d2f9f9fcce5f419ed7ae5e072715a4c53d193f2aef730caed5e44f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2DU3ETGTSBR3B55HVOFFAEGZKY/bundle.json","state_url":"https://pith.science/pith/2DU3ETGTSBR3B55HVOFFAEGZKY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2DU3ETGTSBR3B55HVOFFAEGZKY/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":"2026-05-27T11:57:08Z","links":{"resolver":"https://pith.science/pith/2DU3ETGTSBR3B55HVOFFAEGZKY","bundle":"https://pith.science/pith/2DU3ETGTSBR3B55HVOFFAEGZKY/bundle.json","state":"https://pith.science/pith/2DU3ETGTSBR3B55HVOFFAEGZKY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2DU3ETGTSBR3B55HVOFFAEGZKY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:2DU3ETGTSBR3B55HVOFFAEGZKY","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":"69ccb80eed13ce615d798d86f29f8d3c2d9e0bef952865a54f82c3abed2c317c","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.DG","submitted_at":"1999-10-22T14:22:21Z","title_canon_sha256":"071a53850a41010a5f7d2ba42ea21b47fd5e23e0e6669de6fd5ed4e5c16dca95"},"schema_version":"1.0","source":{"id":"math/9910120","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9910120","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"math/9910120v2","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9910120","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"2DU3ETGTSBR3","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"2DU3ETGTSBR3B55H","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"2DU3ETGT","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:2f4763d796d2f9f9fcce5f419ed7ae5e072715a4c53d193f2aef730caed5e44f","target":"graph","created_at":"2026-05-18T01:38:22Z","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 present the Nahm transform of the doubly-periodic instantons introduced in math.DG/9909069, converting them into certain meromorphic solutions of Hitchin's equations over an elliptic curve.","authors_text":"Marcos Jardim","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"1999-10-22T14:22:21Z","title":"Nahm transform for doubly-periodic instantons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9910120","kind":"arxiv","version":2},"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":"sha256:4881804c6f0546029e6ef8b7e57d2ec215233beb4d17bbe4a4a1b6dd3e0a313b","target":"record","created_at":"2026-05-18T01:38:22Z","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":"69ccb80eed13ce615d798d86f29f8d3c2d9e0bef952865a54f82c3abed2c317c","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.DG","submitted_at":"1999-10-22T14:22:21Z","title_canon_sha256":"071a53850a41010a5f7d2ba42ea21b47fd5e23e0e6669de6fd5ed4e5c16dca95"},"schema_version":"1.0","source":{"id":"math/9910120","kind":"arxiv","version":2}},"canonical_sha256":"d0e9b24cd39063b0f7a7ab8a5010d956195e63dc42aa2b75e94d78cabceb29b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0e9b24cd39063b0f7a7ab8a5010d956195e63dc42aa2b75e94d78cabceb29b7","first_computed_at":"2026-05-18T01:38:22.342783Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:22.342783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6MIYExzIEbpM+/Re0mRvUFxyDlVbsOKSWTYfsTM60VfV5OlfzXZ71D5tFRNro9uABBOXvd9ozWH+jC5XPHuXBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:22.343335Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9910120","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4881804c6f0546029e6ef8b7e57d2ec215233beb4d17bbe4a4a1b6dd3e0a313b","sha256:2f4763d796d2f9f9fcce5f419ed7ae5e072715a4c53d193f2aef730caed5e44f"],"state_sha256":"22dbef2c7718251326c347be3ad22bca4956213ef3e7a7846077e16f15709297"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dTNBwjiapD6ar9YPMW+V7hbLTOK8QAVRqhURwEKAiWYpQCT6pYCZqhbgE5GsG1TIkUcw9aotcEl6k/D1nTt9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:57:08.092792Z","bundle_sha256":"f0350062b0599e3d1ad206b9df5e9c13cdfd27da24f86aef0154aac890edf135"}}