{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:AIBB7ICXWIUESJE7IEADD5W4RH","short_pith_number":"pith:AIBB7ICX","canonical_record":{"source":{"id":"math/0702832","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2007-02-27T14:13:09Z","cross_cats_sorted":[],"title_canon_sha256":"f679333a4425460fc41b077fe784a588ddf8f7f64066e3c20a52092e7ac8bb35","abstract_canon_sha256":"8104e68f9975761d4fcd688483d731872f06ec62c3ca6bdf87099de79057540d"},"schema_version":"1.0"},"canonical_sha256":"02021fa057b22849249f410031f6dc89c2e71716a9ed89227c6373b722c8ff05","source":{"kind":"arxiv","id":"math/0702832","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0702832","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"math/0702832v2","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0702832","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"AIBB7ICXWIUE","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"AIBB7ICXWIUESJE7","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"AIBB7ICX","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:AIBB7ICXWIUESJE7IEADD5W4RH","target":"record","payload":{"canonical_record":{"source":{"id":"math/0702832","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2007-02-27T14:13:09Z","cross_cats_sorted":[],"title_canon_sha256":"f679333a4425460fc41b077fe784a588ddf8f7f64066e3c20a52092e7ac8bb35","abstract_canon_sha256":"8104e68f9975761d4fcd688483d731872f06ec62c3ca6bdf87099de79057540d"},"schema_version":"1.0"},"canonical_sha256":"02021fa057b22849249f410031f6dc89c2e71716a9ed89227c6373b722c8ff05","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:44.223405Z","signature_b64":"NZb61+92fiAl2Iyo859KD68uoclu2jZ5hOx/raedy7MR26gWzVPA742vfYLqaJ8BbZQlNVVnOt6OaCY78zlgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02021fa057b22849249f410031f6dc89c2e71716a9ed89227c6373b722c8ff05","last_reissued_at":"2026-05-18T04:03:44.222806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:44.222806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0702832","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":"2026-05-18T04:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JmGvnac1WCN5aONSgXEq+kSa7bOF13Cad84VyXwmOP43MXJ1YZ7W8qaGyQYq4nJqM1CkXIQXA/WAbHOFWAtHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:06:24.923832Z"},"content_sha256":"10d6c413f8f8625c55ab0280208af6a7981097199af7ebd9f4ff7cf13b71aed2","schema_version":"1.0","event_id":"sha256:10d6c413f8f8625c55ab0280208af6a7981097199af7ebd9f4ff7cf13b71aed2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:AIBB7ICXWIUESJE7IEADD5W4RH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nahm Transform for Higgs bundles","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Marcos Jardim, Pedro Frejlich","submitted_at":"2007-02-27T14:13:09Z","abstract_excerpt":"We construct the Nahm transform for Higgs bundles over a Riemann surface of genus at least 2 as hyperholomorphic connections on the total space of the tangent bundle of its dual Jacobian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0702832","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":"2026-05-18T04:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zb9gt+e8nOrejIRqIwYBvhpsHe66mqQ5o/0AHnKLyyNaUa7WDCvsBSCdi5JPFdcTNVL3biQVH2Xdqb/wtbtbAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:06:24.924222Z"},"content_sha256":"9319a17dca1d6c45bb8f4acbe3d62575e60c7e5eb439e1566111cee0f28f89ac","schema_version":"1.0","event_id":"sha256:9319a17dca1d6c45bb8f4acbe3d62575e60c7e5eb439e1566111cee0f28f89ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AIBB7ICXWIUESJE7IEADD5W4RH/bundle.json","state_url":"https://pith.science/pith/AIBB7ICXWIUESJE7IEADD5W4RH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AIBB7ICXWIUESJE7IEADD5W4RH/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":"2026-05-27T09:06:24Z","links":{"resolver":"https://pith.science/pith/AIBB7ICXWIUESJE7IEADD5W4RH","bundle":"https://pith.science/pith/AIBB7ICXWIUESJE7IEADD5W4RH/bundle.json","state":"https://pith.science/pith/AIBB7ICXWIUESJE7IEADD5W4RH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AIBB7ICXWIUESJE7IEADD5W4RH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:AIBB7ICXWIUESJE7IEADD5W4RH","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":"8104e68f9975761d4fcd688483d731872f06ec62c3ca6bdf87099de79057540d","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2007-02-27T14:13:09Z","title_canon_sha256":"f679333a4425460fc41b077fe784a588ddf8f7f64066e3c20a52092e7ac8bb35"},"schema_version":"1.0","source":{"id":"math/0702832","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0702832","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"math/0702832v2","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0702832","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"AIBB7ICXWIUE","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"AIBB7ICXWIUESJE7","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"AIBB7ICX","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:9319a17dca1d6c45bb8f4acbe3d62575e60c7e5eb439e1566111cee0f28f89ac","target":"graph","created_at":"2026-05-18T04:03:44Z","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 construct the Nahm transform for Higgs bundles over a Riemann surface of genus at least 2 as hyperholomorphic connections on the total space of the tangent bundle of its dual Jacobian.","authors_text":"Marcos Jardim, Pedro Frejlich","cross_cats":[],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2007-02-27T14:13:09Z","title":"Nahm Transform for Higgs bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0702832","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":"sha256:10d6c413f8f8625c55ab0280208af6a7981097199af7ebd9f4ff7cf13b71aed2","target":"record","created_at":"2026-05-18T04:03:44Z","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":"8104e68f9975761d4fcd688483d731872f06ec62c3ca6bdf87099de79057540d","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2007-02-27T14:13:09Z","title_canon_sha256":"f679333a4425460fc41b077fe784a588ddf8f7f64066e3c20a52092e7ac8bb35"},"schema_version":"1.0","source":{"id":"math/0702832","kind":"arxiv","version":2}},"canonical_sha256":"02021fa057b22849249f410031f6dc89c2e71716a9ed89227c6373b722c8ff05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02021fa057b22849249f410031f6dc89c2e71716a9ed89227c6373b722c8ff05","first_computed_at":"2026-05-18T04:03:44.222806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:44.222806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NZb61+92fiAl2Iyo859KD68uoclu2jZ5hOx/raedy7MR26gWzVPA742vfYLqaJ8BbZQlNVVnOt6OaCY78zlgCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:44.223405Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0702832","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10d6c413f8f8625c55ab0280208af6a7981097199af7ebd9f4ff7cf13b71aed2","sha256:9319a17dca1d6c45bb8f4acbe3d62575e60c7e5eb439e1566111cee0f28f89ac"],"state_sha256":"1ceaf537f369f6b237f78e4dc135be816c5fb0e19626b7ab9088cda8b0c4ae70"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tepcwy0Ng4gk2iQk7XUjoHB93MPZGhAF6MnMR+89dwBse43wkGA52rTeZz/kiU9NvON4Lko9XmAN7MqvpwEPBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:06:24.927285Z","bundle_sha256":"f3756a1b0274751922a62b2b206a8898eb3b1fbf9327438428a482d4beb571f6"}}