{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HZ5LWHNW4XQTLP4KG24KLAAPTM","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":"358d7d4d18edfc5c5b23c849c71602753d899d7eaa220a1bc79691b96ce8ac03","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-08-29T18:00:05Z","title_canon_sha256":"ed1b20c55cb1f085c19b3497ac6464b34d215b69bf6a0fe8e221d378791d8dfe"},"schema_version":"1.0","source":{"id":"2208.13802","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.13802","created_at":"2026-07-05T06:04:34Z"},{"alias_kind":"arxiv_version","alias_value":"2208.13802v2","created_at":"2026-07-05T06:04:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.13802","created_at":"2026-07-05T06:04:34Z"},{"alias_kind":"pith_short_12","alias_value":"HZ5LWHNW4XQT","created_at":"2026-07-05T06:04:34Z"},{"alias_kind":"pith_short_16","alias_value":"HZ5LWHNW4XQTLP4K","created_at":"2026-07-05T06:04:34Z"},{"alias_kind":"pith_short_8","alias_value":"HZ5LWHNW","created_at":"2026-07-05T06:04:34Z"}],"graph_snapshots":[{"event_id":"sha256:98ce23e5106ec0f7051469139facfda32ee04b39e8a34ee4e9ff9e0de700be69","target":"graph","created_at":"2026-07-05T06:04:34Z","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/2208.13802/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Based on the discovery of the duality between Jackiw-Teitelboim quantum gravity and a double-scaled matrix ensemble by Saad, Shenker and Stanford in 2019, we show how consistency between the two theories in the universal Random Matrix Theory (RMT) limit imposes a set of constraints on the volumes of moduli spaces of Riemannian manifolds. These volumes are given in terms of polynomial functions, the Weil-Petersson volumes, solving a celebrated nonlinear recursion formula that is notoriously difficult to analyze. Since our results imply linear relations between the coefficients of the Weil-Peter","authors_text":"Fabian Haneder, Juan Diego Urbina, Klaus Richter, Torsten Weber","cross_cats":["nlin.CD","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-08-29T18:00:05Z","title":"Constraining Weil-Petersson volumes by universal random matrix correlations in low-dimensional quantum gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.13802","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":"sha256:7bd0335f1a4bc482987c127e6ed5bbabae2fbf7721c312f0f32fa3c4286dfb4d","target":"record","created_at":"2026-07-05T06:04:34Z","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":"358d7d4d18edfc5c5b23c849c71602753d899d7eaa220a1bc79691b96ce8ac03","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-08-29T18:00:05Z","title_canon_sha256":"ed1b20c55cb1f085c19b3497ac6464b34d215b69bf6a0fe8e221d378791d8dfe"},"schema_version":"1.0","source":{"id":"2208.13802","kind":"arxiv","version":2}},"canonical_sha256":"3e7abb1db6e5e135bf8a36b8a5800f9b33821b553f49dab746e319af71e35e93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e7abb1db6e5e135bf8a36b8a5800f9b33821b553f49dab746e319af71e35e93","first_computed_at":"2026-07-05T06:04:34.466618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:04:34.466618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F6K5n/XUvwoIlCVQBRI1uZ0jEjV8ZQIiuD5MMAg2G+XwfVYoQTkZ+YX6n0YWLzgZw4pGOXo0a3sexIVRigmADA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:04:34.467013Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.13802","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bd0335f1a4bc482987c127e6ed5bbabae2fbf7721c312f0f32fa3c4286dfb4d","sha256:98ce23e5106ec0f7051469139facfda32ee04b39e8a34ee4e9ff9e0de700be69"],"state_sha256":"2a4e790c801171f6709230c8a2822a2451bd1728956f43a13a47d1625e5d42f2"}