{"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"}