{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:2D7AQW46AISUNSOQIVMOOGGL4J","short_pith_number":"pith:2D7AQW46","canonical_record":{"source":{"id":"2403.17045","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-03-25T18:00:00Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"581e0ee27aa2e6e25b4b616209e9ca4cd51ff50d55e98f48dcd7f6c60e1c50a4","abstract_canon_sha256":"becc6cb2046f39a4ef2e4b9830aa6ee0a709748ef34958c4045d6b697f521a62"},"schema_version":"1.0"},"canonical_sha256":"d0fe085b9e022546c9d04558e718cbe25b84dacb4eca7a26a141eaaae6f5b64d","source":{"kind":"arxiv","id":"2403.17045","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.17045","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"arxiv_version","alias_value":"2403.17045v1","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.17045","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"pith_short_12","alias_value":"2D7AQW46AISU","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"pith_short_16","alias_value":"2D7AQW46AISUNSOQ","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"pith_short_8","alias_value":"2D7AQW46","created_at":"2026-07-05T08:00:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:2D7AQW46AISUNSOQIVMOOGGL4J","target":"record","payload":{"canonical_record":{"source":{"id":"2403.17045","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-03-25T18:00:00Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"581e0ee27aa2e6e25b4b616209e9ca4cd51ff50d55e98f48dcd7f6c60e1c50a4","abstract_canon_sha256":"becc6cb2046f39a4ef2e4b9830aa6ee0a709748ef34958c4045d6b697f521a62"},"schema_version":"1.0"},"canonical_sha256":"d0fe085b9e022546c9d04558e718cbe25b84dacb4eca7a26a141eaaae6f5b64d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:00:44.314715Z","signature_b64":"M/5EkcBF2YRdIjLO3V0390ncyFIgOcgGHtmQSUf2613GaW6CaOOPk7iu0A5vVpH6KaZW5J3NdlyzrdrAhmcfBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0fe085b9e022546c9d04558e718cbe25b84dacb4eca7a26a141eaaae6f5b64d","last_reissued_at":"2026-07-05T08:00:44.314222Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:00:44.314222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.17045","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":"2026-07-05T08:00:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qD7y+EYb8P2KY25ms61pCWRHxDvNFhKaQz0WS8K+h7YMwZIQUMY02rAtbePrzq/HmTyRZQEUUSr6lwsDCoN0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T02:54:47.333272Z"},"content_sha256":"c7b776a902ec13b910c67843c3cd6ed885d5635f6e521dfdda4ccc71ba1369a3","schema_version":"1.0","event_id":"sha256:c7b776a902ec13b910c67843c3cd6ed885d5635f6e521dfdda4ccc71ba1369a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:2D7AQW46AISUNSOQIVMOOGGL4J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Twistor Hecke eigensheaves in genus 2","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"Carlos Simpson, Ron Donagi, Tony Pantev","submitted_at":"2024-03-25T18:00:00Z","abstract_excerpt":"Following the strategy outlined in [DP09] arXiv:math/0604617 and [DP22] arXiv:math/0604617 for bundles of rank 2 on a smooth projective curve of genus $2$, we construct flat connections over the moduli of stable bundles, with singularities along the wobbly locus. We verify that the associated $D$-modules are Hecke eigensheaves. The local systems are constructed by the nonabelian Hodge correspondence from Higgs bundles. The spectral varieties of the Higgs bundles are the Hitchin fibers corresponding to the Hecke eigenvalues."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.17045","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.17045/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":"2026-07-05T08:00:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n5suvtrEq4jFNhDHDhb8uCaTveTD3YgWQ5oHasJlI7mT7GORutyEUO+FGCwPl06PtwmfmqQrqjI1ZXWUi+HrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T02:54:47.333780Z"},"content_sha256":"4b6a79ada6f7a7b52bd1867d029cdcab1dd33d5d45c27323d5532a8794739ede","schema_version":"1.0","event_id":"sha256:4b6a79ada6f7a7b52bd1867d029cdcab1dd33d5d45c27323d5532a8794739ede"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2D7AQW46AISUNSOQIVMOOGGL4J/bundle.json","state_url":"https://pith.science/pith/2D7AQW46AISUNSOQIVMOOGGL4J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2D7AQW46AISUNSOQIVMOOGGL4J/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":"2026-08-08T02:54:47Z","links":{"resolver":"https://pith.science/pith/2D7AQW46AISUNSOQIVMOOGGL4J","bundle":"https://pith.science/pith/2D7AQW46AISUNSOQIVMOOGGL4J/bundle.json","state":"https://pith.science/pith/2D7AQW46AISUNSOQIVMOOGGL4J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2D7AQW46AISUNSOQIVMOOGGL4J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2D7AQW46AISUNSOQIVMOOGGL4J","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":"becc6cb2046f39a4ef2e4b9830aa6ee0a709748ef34958c4045d6b697f521a62","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-03-25T18:00:00Z","title_canon_sha256":"581e0ee27aa2e6e25b4b616209e9ca4cd51ff50d55e98f48dcd7f6c60e1c50a4"},"schema_version":"1.0","source":{"id":"2403.17045","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.17045","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"arxiv_version","alias_value":"2403.17045v1","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.17045","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"pith_short_12","alias_value":"2D7AQW46AISU","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"pith_short_16","alias_value":"2D7AQW46AISUNSOQ","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"pith_short_8","alias_value":"2D7AQW46","created_at":"2026-07-05T08:00:44Z"}],"graph_snapshots":[{"event_id":"sha256:4b6a79ada6f7a7b52bd1867d029cdcab1dd33d5d45c27323d5532a8794739ede","target":"graph","created_at":"2026-07-05T08:00:44Z","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/2403.17045/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Following the strategy outlined in [DP09] arXiv:math/0604617 and [DP22] arXiv:math/0604617 for bundles of rank 2 on a smooth projective curve of genus $2$, we construct flat connections over the moduli of stable bundles, with singularities along the wobbly locus. We verify that the associated $D$-modules are Hecke eigensheaves. The local systems are constructed by the nonabelian Hodge correspondence from Higgs bundles. The spectral varieties of the Higgs bundles are the Hitchin fibers corresponding to the Hecke eigenvalues.","authors_text":"Carlos Simpson, Ron Donagi, Tony Pantev","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-03-25T18:00:00Z","title":"Twistor Hecke eigensheaves in genus 2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.17045","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:c7b776a902ec13b910c67843c3cd6ed885d5635f6e521dfdda4ccc71ba1369a3","target":"record","created_at":"2026-07-05T08:00:44Z","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":"becc6cb2046f39a4ef2e4b9830aa6ee0a709748ef34958c4045d6b697f521a62","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-03-25T18:00:00Z","title_canon_sha256":"581e0ee27aa2e6e25b4b616209e9ca4cd51ff50d55e98f48dcd7f6c60e1c50a4"},"schema_version":"1.0","source":{"id":"2403.17045","kind":"arxiv","version":1}},"canonical_sha256":"d0fe085b9e022546c9d04558e718cbe25b84dacb4eca7a26a141eaaae6f5b64d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0fe085b9e022546c9d04558e718cbe25b84dacb4eca7a26a141eaaae6f5b64d","first_computed_at":"2026-07-05T08:00:44.314222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:00:44.314222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M/5EkcBF2YRdIjLO3V0390ncyFIgOcgGHtmQSUf2613GaW6CaOOPk7iu0A5vVpH6KaZW5J3NdlyzrdrAhmcfBw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:00:44.314715Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.17045","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7b776a902ec13b910c67843c3cd6ed885d5635f6e521dfdda4ccc71ba1369a3","sha256:4b6a79ada6f7a7b52bd1867d029cdcab1dd33d5d45c27323d5532a8794739ede"],"state_sha256":"d18835b51f9875a58d3ab4b01796156f5caa5ba74279d0f6e263d4cfa1596eb6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hIoABmYaCz9LmBl72jsXYleJjoN/VMa/s+o+syY+b1AgdjMNG60hbt4cDIdE5WcNkMipME8UebhaZg4FInyOAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T02:54:47.338302Z","bundle_sha256":"b20ce1ac428cafac11d221f9028350efb754e57b910930b5a2e706e5216bac45"}}