{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MYCPYESJV6B7OYGEUOAJ2M6QS6","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":"4de9efca221a0b01d6a99c4d3e7e9cf9f8a830ff2f2e875efc393fa4ab6102ac","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-18T08:40:27Z","title_canon_sha256":"6a42e952dc58d93b7433c02c9be076ae308fa263b36dfcbc37f845a217e1b31f"},"schema_version":"1.0","source":{"id":"1307.4865","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4865","created_at":"2026-05-18T01:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4865v3","created_at":"2026-05-18T01:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4865","created_at":"2026-05-18T01:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"MYCPYESJV6B7","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MYCPYESJV6B7OYGE","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MYCPYESJ","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:e31006955c6c7888269c584ae6f46cec0399d0518ab0288059991ac885febb94","target":"graph","created_at":"2026-05-18T01:48:43Z","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":"To a correlation function in a two-dimensional conformal field theory with the central charge $c=1$, we associate a matrix differential equation $\\Psi' = L \\Psi$, where the Lax matrix $L$ is a matrix square root of the energy-momentum tensor. Then local conformal symmetry implies that the differential equation is isomonodromic. This provides a justification for the recently observed relation between four-point conformal blocks and solutions of the Painlev\\'e VI equation. This also provides a direct way to compute the three-point function of Runkel-Watts theory -- the common $c\\rightarrow 1$ li","authors_text":"Bertrand Eynard, Sylvain Ribault","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-18T08:40:27Z","title":"Lax matrix solution of c=1 Conformal Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4865","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:cccc58f55980358201b2a06b8d09faeb3ac695bb171894023e04b8173e943919","target":"record","created_at":"2026-05-18T01:48:43Z","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":"4de9efca221a0b01d6a99c4d3e7e9cf9f8a830ff2f2e875efc393fa4ab6102ac","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-18T08:40:27Z","title_canon_sha256":"6a42e952dc58d93b7433c02c9be076ae308fa263b36dfcbc37f845a217e1b31f"},"schema_version":"1.0","source":{"id":"1307.4865","kind":"arxiv","version":3}},"canonical_sha256":"6604fc1249af83f760c4a3809d33d097888446b8b728403b05e208db6d13a885","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6604fc1249af83f760c4a3809d33d097888446b8b728403b05e208db6d13a885","first_computed_at":"2026-05-18T01:48:43.071184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:43.071184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aRq4WbYa4aJmHM7pJSLxhtaNRaIEOxs1GOgu6VZXxf23FaaGZnpbES2tjWNR6rYnNfoknse622T+tXkmXm8aBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:43.071801Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4865","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cccc58f55980358201b2a06b8d09faeb3ac695bb171894023e04b8173e943919","sha256:e31006955c6c7888269c584ae6f46cec0399d0518ab0288059991ac885febb94"],"state_sha256":"60d3d29c4b58f107a5968a9e653dd6cec1c8d7a32305237269bcdacb736a7184"}