{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ATLYA6G7JPRALZLXNGNUUBJMO5","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":"c8aadb88c37313e46d45dfda95d1ccbdbbdaa2e28e94c9ddcaa0a8b7e90fb1cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-21T17:50:21Z","title_canon_sha256":"c18860f8d410a389cec990a88fd04fb5ed47791299dcda301cd23abd61cb9b95"},"schema_version":"1.0","source":{"id":"1310.5659","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5659","created_at":"2026-05-18T02:43:02Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5659v3","created_at":"2026-05-18T02:43:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5659","created_at":"2026-05-18T02:43:02Z"},{"alias_kind":"pith_short_12","alias_value":"ATLYA6G7JPRA","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"ATLYA6G7JPRALZLX","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"ATLYA6G7","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:19bc12a394e9b4f998d36e74d78dfe27c145e2803feae07bd7f8e84d85bb010f","target":"graph","created_at":"2026-05-18T02:43:02Z","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":"We continue the study of $(q,p)$ Minimal Liouville Gravity with the help of Douglas string equation. We generalize the results of \\cite{Moore:1991ir}, \\cite{Belavin:2008kv}, where Lee-Yang series $(2,2s+1)$ was studied, to $(3,3s+p_0)$ Minimal Liouville Gravity, where $p_0=1,2$. We demonstrate that there exist such coordinates $\\tau_{m,n}$ on the space of the perturbed Minimal Liouville Gravity theories, in which the partition function of the theory is determined by the Douglas string equation. The coordinates $\\tau_{m,n}$ are related in a non-linear fashion to the natural coupling constants $","authors_text":"Alexander Belavin, Baur Mukhametzhanov, Boris Dubrovin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-21T17:50:21Z","title":"Minimal Liouville Gravity correlation numbers from Douglas string equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5659","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:ee3e04d1ec4d630ea0a61e288cb3db55d6c45710916e7995c94769d5b7d6ab78","target":"record","created_at":"2026-05-18T02:43:02Z","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":"c8aadb88c37313e46d45dfda95d1ccbdbbdaa2e28e94c9ddcaa0a8b7e90fb1cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-21T17:50:21Z","title_canon_sha256":"c18860f8d410a389cec990a88fd04fb5ed47791299dcda301cd23abd61cb9b95"},"schema_version":"1.0","source":{"id":"1310.5659","kind":"arxiv","version":3}},"canonical_sha256":"04d78078df4be205e577699b4a052c775cd735a18a5ec24b1f8d17fbe920e090","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04d78078df4be205e577699b4a052c775cd735a18a5ec24b1f8d17fbe920e090","first_computed_at":"2026-05-18T02:43:02.500271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:02.500271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FWKtYysg3LbBGNEqrAUU/dQZYVzFC41qkMwsxuHIR1nXxBPIT+2bidhAL/CCT3L97cmFDgLzDoofvEBDFU5QAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:02.500901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.5659","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee3e04d1ec4d630ea0a61e288cb3db55d6c45710916e7995c94769d5b7d6ab78","sha256:19bc12a394e9b4f998d36e74d78dfe27c145e2803feae07bd7f8e84d85bb010f"],"state_sha256":"b374b3a3b5a3fdc0e6c55b6de012b8d10cfb5d1702b98410efeffae6b9e1bc82"}