{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YC4RMQJ52JOQXJHXJ65IA3OC3L","short_pith_number":"pith:YC4RMQJ5","canonical_record":{"source":{"id":"1406.6661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-25T18:47:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"073d0af0d5a2883dac936ff1bad76530051432b96d7beaecec2723adbb699e2f","abstract_canon_sha256":"401ed0b133d0177d51e35469b1b0e68b3951aedc386031c4addc227069fbc5a2"},"schema_version":"1.0"},"canonical_sha256":"c0b916413dd25d0ba4f74fba806dc2daf2d3919a800327e2fb9db31f31de12c6","source":{"kind":"arxiv","id":"1406.6661","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6661","created_at":"2026-05-18T01:42:50Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6661v2","created_at":"2026-05-18T01:42:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6661","created_at":"2026-05-18T01:42:50Z"},{"alias_kind":"pith_short_12","alias_value":"YC4RMQJ52JOQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YC4RMQJ52JOQXJHX","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YC4RMQJ5","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YC4RMQJ52JOQXJHXJ65IA3OC3L","target":"record","payload":{"canonical_record":{"source":{"id":"1406.6661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-25T18:47:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"073d0af0d5a2883dac936ff1bad76530051432b96d7beaecec2723adbb699e2f","abstract_canon_sha256":"401ed0b133d0177d51e35469b1b0e68b3951aedc386031c4addc227069fbc5a2"},"schema_version":"1.0"},"canonical_sha256":"c0b916413dd25d0ba4f74fba806dc2daf2d3919a800327e2fb9db31f31de12c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:50.310256Z","signature_b64":"siohKjmHBgOpsMtC2LjaZ27eAuwDNhOX81PsyUO+5PEXcFKGag7yRpmF61I697vTVxEL/LHnHDyj6UFZ6B9lBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0b916413dd25d0ba4f74fba806dc2daf2d3919a800327e2fb9db31f31de12c6","last_reissued_at":"2026-05-18T01:42:50.309552Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:50.309552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.6661","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:42:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C+KOCrKs+IxTQfFMB/BpPtJDKTrgX3qywKVZlSmJnGx91ZApsBtSuhq8LDQ6/cJuYAxaDbBAsRpxGb/oD8BCAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T03:07:35.726699Z"},"content_sha256":"8dd01a2200f46445eba127d16b457557faa0c14d4cb43e6729fcd4419a446e35","schema_version":"1.0","event_id":"sha256:8dd01a2200f46445eba127d16b457557faa0c14d4cb43e6729fcd4419a446e35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YC4RMQJ52JOQXJHXJ65IA3OC3L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Frobenius manifolds, Integrable Hierarchies and Minimal Liouville Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A.A. Belavin, V.A. Belavin","submitted_at":"2014-06-25T18:47:53Z","abstract_excerpt":"We use the connection between the Frobrenius manifold and the Douglas string equation to further investigate Minimal Liouville gravity. We search a solution of the Douglas string equation and simultaneously a proper transformation from the KdV to the Liouville frame which ensure the fulfilment of the conformal and fusion selection rules. We find that the desired solution of the string equation has explicit and simple form in the flat coordinates on the Frobenious manifold in the general case of (p,q) Minimal Liouville gravity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6661","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:42:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7gkdQ4VWN9ghNhlpsK5JpzsI9334UDxLrERhX38ZoUQheonjFgRVmI730dcfL24GPH4++kYpBqzaNQsoQwAWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T03:07:35.727306Z"},"content_sha256":"94328b7574abff4e227632ef49e9e654bff9ff1902df50b1e629d7953c457b00","schema_version":"1.0","event_id":"sha256:94328b7574abff4e227632ef49e9e654bff9ff1902df50b1e629d7953c457b00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YC4RMQJ52JOQXJHXJ65IA3OC3L/bundle.json","state_url":"https://pith.science/pith/YC4RMQJ52JOQXJHXJ65IA3OC3L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YC4RMQJ52JOQXJHXJ65IA3OC3L/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":"2026-05-24T03:07:35Z","links":{"resolver":"https://pith.science/pith/YC4RMQJ52JOQXJHXJ65IA3OC3L","bundle":"https://pith.science/pith/YC4RMQJ52JOQXJHXJ65IA3OC3L/bundle.json","state":"https://pith.science/pith/YC4RMQJ52JOQXJHXJ65IA3OC3L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YC4RMQJ52JOQXJHXJ65IA3OC3L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YC4RMQJ52JOQXJHXJ65IA3OC3L","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":"401ed0b133d0177d51e35469b1b0e68b3951aedc386031c4addc227069fbc5a2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-25T18:47:53Z","title_canon_sha256":"073d0af0d5a2883dac936ff1bad76530051432b96d7beaecec2723adbb699e2f"},"schema_version":"1.0","source":{"id":"1406.6661","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6661","created_at":"2026-05-18T01:42:50Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6661v2","created_at":"2026-05-18T01:42:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6661","created_at":"2026-05-18T01:42:50Z"},{"alias_kind":"pith_short_12","alias_value":"YC4RMQJ52JOQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YC4RMQJ52JOQXJHX","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YC4RMQJ5","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:94328b7574abff4e227632ef49e9e654bff9ff1902df50b1e629d7953c457b00","target":"graph","created_at":"2026-05-18T01:42:50Z","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 use the connection between the Frobrenius manifold and the Douglas string equation to further investigate Minimal Liouville gravity. We search a solution of the Douglas string equation and simultaneously a proper transformation from the KdV to the Liouville frame which ensure the fulfilment of the conformal and fusion selection rules. We find that the desired solution of the string equation has explicit and simple form in the flat coordinates on the Frobenious manifold in the general case of (p,q) Minimal Liouville gravity.","authors_text":"A.A. Belavin, V.A. Belavin","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-25T18:47:53Z","title":"Frobenius manifolds, Integrable Hierarchies and Minimal Liouville Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6661","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":"sha256:8dd01a2200f46445eba127d16b457557faa0c14d4cb43e6729fcd4419a446e35","target":"record","created_at":"2026-05-18T01:42:50Z","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":"401ed0b133d0177d51e35469b1b0e68b3951aedc386031c4addc227069fbc5a2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-25T18:47:53Z","title_canon_sha256":"073d0af0d5a2883dac936ff1bad76530051432b96d7beaecec2723adbb699e2f"},"schema_version":"1.0","source":{"id":"1406.6661","kind":"arxiv","version":2}},"canonical_sha256":"c0b916413dd25d0ba4f74fba806dc2daf2d3919a800327e2fb9db31f31de12c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0b916413dd25d0ba4f74fba806dc2daf2d3919a800327e2fb9db31f31de12c6","first_computed_at":"2026-05-18T01:42:50.309552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:50.309552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"siohKjmHBgOpsMtC2LjaZ27eAuwDNhOX81PsyUO+5PEXcFKGag7yRpmF61I697vTVxEL/LHnHDyj6UFZ6B9lBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:50.310256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6661","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8dd01a2200f46445eba127d16b457557faa0c14d4cb43e6729fcd4419a446e35","sha256:94328b7574abff4e227632ef49e9e654bff9ff1902df50b1e629d7953c457b00"],"state_sha256":"f254423c6d689fa102facbec5ba5b98ad1e96ae884c9a20e65c87f3f3ff07347"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9lMcSfgEf8X4+F7o3AA76suQc6hjiDPdI9wveYfdRewU2mDwO2GGP9jQcndwlRXKXnBsdD9vKIAjaVyECMwyDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T03:07:35.730448Z","bundle_sha256":"320e9fc5a2807c1a630094936ec2a59e1af3e859e6334e3ef371f844f11c6495"}}