{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CXUVCDEFJNNFRAKTB3ZTOXIK33","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":"812abb076c5af03499ddf35561a3734b3484f8be1406e1dab67f0ed045c28b3e","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-07-24T16:27:22Z","title_canon_sha256":"361ee8b89cf5344cf82bb54336b5ba0db64075eb615e80913f5833b733d7e02f"},"schema_version":"1.0","source":{"id":"1907.10543","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.10543","created_at":"2026-07-05T01:14:26Z"},{"alias_kind":"arxiv_version","alias_value":"1907.10543v4","created_at":"2026-07-05T01:14:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.10543","created_at":"2026-07-05T01:14:26Z"},{"alias_kind":"pith_short_12","alias_value":"CXUVCDEFJNNF","created_at":"2026-07-05T01:14:26Z"},{"alias_kind":"pith_short_16","alias_value":"CXUVCDEFJNNFRAKT","created_at":"2026-07-05T01:14:26Z"},{"alias_kind":"pith_short_8","alias_value":"CXUVCDEF","created_at":"2026-07-05T01:14:26Z"}],"graph_snapshots":[{"event_id":"sha256:868f95642636016c9563bffe94a3be59b3999d402136fed8a858ab4cf7eebf5d","target":"graph","created_at":"2026-07-05T01:14:26Z","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/1907.10543/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the moduli space of holomorphic principal bundles for reductive Lie groups over Riemann surfaces (possibly with boundaries) and equipped with meromorphic connections. We associate to this space a point-wise notion of quantum spectral curve whose generalized periods define a new set of moduli. We define homology cycles and differential forms of the quantum spectral curve, allowing to derive quantum analogs of the form-cycle duality and Riemann bilinear identities of classical geometry. A tau-function is introduced for this system in the form of a theta-series and in such a way that ","authors_text":"Bertrand Eynard, Rapha\\\"el Belliard","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-07-24T16:27:22Z","title":"From the quantum geometry of Fuchsian systems to conformal blocks of W-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.10543","kind":"arxiv","version":4},"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":"sha256:1643c7c0ed34600975423dd3bc5c684e764e7a406e3011e0557a9e390f67af2f","target":"record","created_at":"2026-07-05T01:14:26Z","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":"812abb076c5af03499ddf35561a3734b3484f8be1406e1dab67f0ed045c28b3e","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-07-24T16:27:22Z","title_canon_sha256":"361ee8b89cf5344cf82bb54336b5ba0db64075eb615e80913f5833b733d7e02f"},"schema_version":"1.0","source":{"id":"1907.10543","kind":"arxiv","version":4}},"canonical_sha256":"15e9510c854b5a5881530ef3375d0adec99a6ea7f11669b8ad1b5f323d231240","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15e9510c854b5a5881530ef3375d0adec99a6ea7f11669b8ad1b5f323d231240","first_computed_at":"2026-07-05T01:14:26.814778Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:14:26.814778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XM56yTBDX3zY0Yx8mDAAZYjy3iggwYfHY9UPCfSMdzfEs8ifO8qa7T5DxvNSVbweWkdD2yQSwxoI9yvm8t2qDA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:14:26.815223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.10543","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1643c7c0ed34600975423dd3bc5c684e764e7a406e3011e0557a9e390f67af2f","sha256:868f95642636016c9563bffe94a3be59b3999d402136fed8a858ab4cf7eebf5d"],"state_sha256":"b669194bf259d8d3015ce6d16d826317c42259fc59a36cc7255cb8fc7693222c"}