{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:MC63VWSG7D5EZHCNWPVQXVRSQ5","short_pith_number":"pith:MC63VWSG","canonical_record":{"source":{"id":"math/0111098","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2001-11-08T17:48:03Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7b94c0261d40c34127934c2cbe818c9647c98c84a182fcc565105f78ef36c08c","abstract_canon_sha256":"418b4fac1f9dd3dd2e2fdad7e9b16ad5fb8a500e1e9d73cfbd1e70330d183640"},"schema_version":"1.0"},"canonical_sha256":"60bdbada46f8fa4c9c4db3eb0bd632877762db579edca8ed75ed23a4b0f2e9c8","source":{"kind":"arxiv","id":"math/0111098","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0111098","created_at":"2026-07-04T14:35:44Z"},{"alias_kind":"arxiv_version","alias_value":"math/0111098v3","created_at":"2026-07-04T14:35:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0111098","created_at":"2026-07-04T14:35:44Z"},{"alias_kind":"pith_short_12","alias_value":"MC63VWSG7D5E","created_at":"2026-07-04T14:35:44Z"},{"alias_kind":"pith_short_16","alias_value":"MC63VWSG7D5EZHCN","created_at":"2026-07-04T14:35:44Z"},{"alias_kind":"pith_short_8","alias_value":"MC63VWSG","created_at":"2026-07-04T14:35:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:MC63VWSG7D5EZHCNWPVQXVRSQ5","target":"record","payload":{"canonical_record":{"source":{"id":"math/0111098","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2001-11-08T17:48:03Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7b94c0261d40c34127934c2cbe818c9647c98c84a182fcc565105f78ef36c08c","abstract_canon_sha256":"418b4fac1f9dd3dd2e2fdad7e9b16ad5fb8a500e1e9d73cfbd1e70330d183640"},"schema_version":"1.0"},"canonical_sha256":"60bdbada46f8fa4c9c4db3eb0bd632877762db579edca8ed75ed23a4b0f2e9c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:35:44.573403Z","signature_b64":"/cu64QSKo+FK6KtFs9X1Cu0wXD0JoO/ucKad/pxYx/13PZ3U+/I62QgXgGjFAUqnZoFFprD203sFFjRouazPBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60bdbada46f8fa4c9c4db3eb0bd632877762db579edca8ed75ed23a4b0f2e9c8","last_reissued_at":"2026-07-04T14:35:44.572992Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:35:44.572992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0111098","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":"2026-07-04T14:35:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qw/UAFEhyMDMh8VItz7A2y0rPKlHybHa1p9zrmxNF23yFy0K+tlda9YSw7itri1rq9ZXJhbdCyLcoFk0+SleBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T02:04:04.629778Z"},"content_sha256":"ecd7d74b32be6ddc9d5a047b402c541019a8a4d9e1e0216e07ed30f56f154929","schema_version":"1.0","event_id":"sha256:ecd7d74b32be6ddc9d5a047b402c541019a8a4d9e1e0216e07ed30f56f154929"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:MC63VWSG7D5EZHCNWPVQXVRSQ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wild nonabelian Hodge theory on curves","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Olivier Biquard, Philip Boalch","submitted_at":"2001-11-08T17:48:03Z","abstract_excerpt":"On a complex curve, we establish a correspondence between integrable connections with irregular singularities, and Higgs bundles such that the Higgs field is meromorphic with poles of any order.\n  The moduli spaces of these objects are obtained by fixing at each singularity the polar part of the connection. We prove that they carry hyperKahler metrics, which are complete when the residue of the connection if semisimple."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0111098","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0111098/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:35:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8mzUhaxHtAHyDQu83590Vf3zbhlLk+cye51crcDLRotArs0bJZ+KdCPgLjB1WHW+Mka+qRoaXL60uoYmvfeDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T02:04:04.630423Z"},"content_sha256":"1d1ebb9ea39f64a725cfd7016b25786f0cc70392764931d05a788ba54d9e5e02","schema_version":"1.0","event_id":"sha256:1d1ebb9ea39f64a725cfd7016b25786f0cc70392764931d05a788ba54d9e5e02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MC63VWSG7D5EZHCNWPVQXVRSQ5/bundle.json","state_url":"https://pith.science/pith/MC63VWSG7D5EZHCNWPVQXVRSQ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MC63VWSG7D5EZHCNWPVQXVRSQ5/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":"2026-08-19T02:04:04Z","links":{"resolver":"https://pith.science/pith/MC63VWSG7D5EZHCNWPVQXVRSQ5","bundle":"https://pith.science/pith/MC63VWSG7D5EZHCNWPVQXVRSQ5/bundle.json","state":"https://pith.science/pith/MC63VWSG7D5EZHCNWPVQXVRSQ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MC63VWSG7D5EZHCNWPVQXVRSQ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:MC63VWSG7D5EZHCNWPVQXVRSQ5","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":"418b4fac1f9dd3dd2e2fdad7e9b16ad5fb8a500e1e9d73cfbd1e70330d183640","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.DG","submitted_at":"2001-11-08T17:48:03Z","title_canon_sha256":"7b94c0261d40c34127934c2cbe818c9647c98c84a182fcc565105f78ef36c08c"},"schema_version":"1.0","source":{"id":"math/0111098","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0111098","created_at":"2026-07-04T14:35:44Z"},{"alias_kind":"arxiv_version","alias_value":"math/0111098v3","created_at":"2026-07-04T14:35:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0111098","created_at":"2026-07-04T14:35:44Z"},{"alias_kind":"pith_short_12","alias_value":"MC63VWSG7D5E","created_at":"2026-07-04T14:35:44Z"},{"alias_kind":"pith_short_16","alias_value":"MC63VWSG7D5EZHCN","created_at":"2026-07-04T14:35:44Z"},{"alias_kind":"pith_short_8","alias_value":"MC63VWSG","created_at":"2026-07-04T14:35:44Z"}],"graph_snapshots":[{"event_id":"sha256:1d1ebb9ea39f64a725cfd7016b25786f0cc70392764931d05a788ba54d9e5e02","target":"graph","created_at":"2026-07-04T14:35:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0111098/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"On a complex curve, we establish a correspondence between integrable connections with irregular singularities, and Higgs bundles such that the Higgs field is meromorphic with poles of any order.\n  The moduli spaces of these objects are obtained by fixing at each singularity the polar part of the connection. We prove that they carry hyperKahler metrics, which are complete when the residue of the connection if semisimple.","authors_text":"Olivier Biquard, Philip Boalch","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2001-11-08T17:48:03Z","title":"Wild nonabelian Hodge theory on curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0111098","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:ecd7d74b32be6ddc9d5a047b402c541019a8a4d9e1e0216e07ed30f56f154929","target":"record","created_at":"2026-07-04T14:35:44Z","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":"418b4fac1f9dd3dd2e2fdad7e9b16ad5fb8a500e1e9d73cfbd1e70330d183640","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.DG","submitted_at":"2001-11-08T17:48:03Z","title_canon_sha256":"7b94c0261d40c34127934c2cbe818c9647c98c84a182fcc565105f78ef36c08c"},"schema_version":"1.0","source":{"id":"math/0111098","kind":"arxiv","version":3}},"canonical_sha256":"60bdbada46f8fa4c9c4db3eb0bd632877762db579edca8ed75ed23a4b0f2e9c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60bdbada46f8fa4c9c4db3eb0bd632877762db579edca8ed75ed23a4b0f2e9c8","first_computed_at":"2026-07-04T14:35:44.572992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:35:44.572992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/cu64QSKo+FK6KtFs9X1Cu0wXD0JoO/ucKad/pxYx/13PZ3U+/I62QgXgGjFAUqnZoFFprD203sFFjRouazPBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:35:44.573403Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0111098","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecd7d74b32be6ddc9d5a047b402c541019a8a4d9e1e0216e07ed30f56f154929","sha256:1d1ebb9ea39f64a725cfd7016b25786f0cc70392764931d05a788ba54d9e5e02"],"state_sha256":"ed4beecb96d8b13fa0d4cda362b66075f9047fda209f9525f9816618fcbbd9fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rkJC/oD9GlthwbBHerEY05VIpE4i0CZcw6S9HyBD9t5nHL4fglT7AIV9tut+dvUZLWD9wwx6vAR5mZGFuMfBAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T02:04:04.635489Z","bundle_sha256":"ed04bf488ab56dadd8f13cc0606f2e50a8405130a961cc0b5cc7d91516de51dc"}}