{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:HUCZIE6NIDGXU6CEHLVH26PCAJ","short_pith_number":"pith:HUCZIE6N","canonical_record":{"source":{"id":"hep-th/0308131","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-08-20T15:47:23Z","cross_cats_sorted":[],"title_canon_sha256":"26f3e47381467f87cbf32765950e269f17ad8562ed5b28b97c9c369b6316f163","abstract_canon_sha256":"a81e6fc274d338faf223781b88eb118014b53e6c05693100638660807b3611c9"},"schema_version":"1.0"},"canonical_sha256":"3d059413cd40cd7a78443aea7d79e2025aba6c371e1b1d1844ef6f5185cdec4a","source":{"kind":"arxiv","id":"hep-th/0308131","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0308131","created_at":"2026-07-04T17:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0308131v2","created_at":"2026-07-04T17:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0308131","created_at":"2026-07-04T17:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"HUCZIE6NIDGX","created_at":"2026-07-04T17:24:43Z"},{"alias_kind":"pith_short_16","alias_value":"HUCZIE6NIDGXU6CE","created_at":"2026-07-04T17:24:43Z"},{"alias_kind":"pith_short_8","alias_value":"HUCZIE6N","created_at":"2026-07-04T17:24:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:HUCZIE6NIDGXU6CEHLVH26PCAJ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0308131","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-08-20T15:47:23Z","cross_cats_sorted":[],"title_canon_sha256":"26f3e47381467f87cbf32765950e269f17ad8562ed5b28b97c9c369b6316f163","abstract_canon_sha256":"a81e6fc274d338faf223781b88eb118014b53e6c05693100638660807b3611c9"},"schema_version":"1.0"},"canonical_sha256":"3d059413cd40cd7a78443aea7d79e2025aba6c371e1b1d1844ef6f5185cdec4a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:24:43.322745Z","signature_b64":"LFjUBozF5Xm1++xaSCw1DoLK9BdoNTby75xNOmLAheqSctuc+hH3s5Pa8cFQAbDL+6qKvCOMeIyU4+TXzqKyDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d059413cd40cd7a78443aea7d79e2025aba6c371e1b1d1844ef6f5185cdec4a","last_reissued_at":"2026-07-04T17:24:43.322373Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:24:43.322373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0308131","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":"2026-07-04T17:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ydeiDZU63FETdXlxFsyE1RYoFI/Sel3Y37FTcp1dqOgGgtUo8FdelblEleOqM+PppRKlJfni3kowY/DFICsYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T15:44:35.154365Z"},"content_sha256":"b7dc8ba092fb2ff520f4cf4629d15c5d86581ef7b49ff3ce92408ba70cf9c317","schema_version":"1.0","event_id":"sha256:b7dc8ba092fb2ff520f4cf4629d15c5d86581ef7b49ff3ce92408ba70cf9c317"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:HUCZIE6NIDGXU6CEHLVH26PCAJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polyakov conjecture for hyperbolic singularities","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Leszek Hadasz, Zbigniew Jaskolski","submitted_at":"2003-08-20T15:47:23Z","abstract_excerpt":"We propose the form of the Liouville action satisfying Polyakov conjecture on the accessory parameters for the hyperbolic singularities on the Riemann sphere."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0308131","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0308131/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"22jxuflVyvUaOHL+4gCM1OoiOcZt0VPI1BrqrsmeRks8apo3gEEHKPYFaAFqZUiS80oghpC1EZVwUZ2vpZfSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T15:44:35.155193Z"},"content_sha256":"41a1df1304aad8dd6bd6f0a4d966e2a10f03b06bf4db9e17228e3110ad014769","schema_version":"1.0","event_id":"sha256:41a1df1304aad8dd6bd6f0a4d966e2a10f03b06bf4db9e17228e3110ad014769"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HUCZIE6NIDGXU6CEHLVH26PCAJ/bundle.json","state_url":"https://pith.science/pith/HUCZIE6NIDGXU6CEHLVH26PCAJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HUCZIE6NIDGXU6CEHLVH26PCAJ/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":"2026-08-03T15:44:35Z","links":{"resolver":"https://pith.science/pith/HUCZIE6NIDGXU6CEHLVH26PCAJ","bundle":"https://pith.science/pith/HUCZIE6NIDGXU6CEHLVH26PCAJ/bundle.json","state":"https://pith.science/pith/HUCZIE6NIDGXU6CEHLVH26PCAJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HUCZIE6NIDGXU6CEHLVH26PCAJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:HUCZIE6NIDGXU6CEHLVH26PCAJ","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":"a81e6fc274d338faf223781b88eb118014b53e6c05693100638660807b3611c9","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-08-20T15:47:23Z","title_canon_sha256":"26f3e47381467f87cbf32765950e269f17ad8562ed5b28b97c9c369b6316f163"},"schema_version":"1.0","source":{"id":"hep-th/0308131","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0308131","created_at":"2026-07-04T17:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0308131v2","created_at":"2026-07-04T17:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0308131","created_at":"2026-07-04T17:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"HUCZIE6NIDGX","created_at":"2026-07-04T17:24:43Z"},{"alias_kind":"pith_short_16","alias_value":"HUCZIE6NIDGXU6CE","created_at":"2026-07-04T17:24:43Z"},{"alias_kind":"pith_short_8","alias_value":"HUCZIE6N","created_at":"2026-07-04T17:24:43Z"}],"graph_snapshots":[{"event_id":"sha256:41a1df1304aad8dd6bd6f0a4d966e2a10f03b06bf4db9e17228e3110ad014769","target":"graph","created_at":"2026-07-04T17:24:43Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0308131/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose the form of the Liouville action satisfying Polyakov conjecture on the accessory parameters for the hyperbolic singularities on the Riemann sphere.","authors_text":"Leszek Hadasz, Zbigniew Jaskolski","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-08-20T15:47:23Z","title":"Polyakov conjecture for hyperbolic singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0308131","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:b7dc8ba092fb2ff520f4cf4629d15c5d86581ef7b49ff3ce92408ba70cf9c317","target":"record","created_at":"2026-07-04T17:24:43Z","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":"a81e6fc274d338faf223781b88eb118014b53e6c05693100638660807b3611c9","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-08-20T15:47:23Z","title_canon_sha256":"26f3e47381467f87cbf32765950e269f17ad8562ed5b28b97c9c369b6316f163"},"schema_version":"1.0","source":{"id":"hep-th/0308131","kind":"arxiv","version":2}},"canonical_sha256":"3d059413cd40cd7a78443aea7d79e2025aba6c371e1b1d1844ef6f5185cdec4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d059413cd40cd7a78443aea7d79e2025aba6c371e1b1d1844ef6f5185cdec4a","first_computed_at":"2026-07-04T17:24:43.322373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:24:43.322373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LFjUBozF5Xm1++xaSCw1DoLK9BdoNTby75xNOmLAheqSctuc+hH3s5Pa8cFQAbDL+6qKvCOMeIyU4+TXzqKyDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:24:43.322745Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0308131","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7dc8ba092fb2ff520f4cf4629d15c5d86581ef7b49ff3ce92408ba70cf9c317","sha256:41a1df1304aad8dd6bd6f0a4d966e2a10f03b06bf4db9e17228e3110ad014769"],"state_sha256":"d14cedb8413f7b21f9d44391ec0ccc5e6fa6af4fcc2055c1547c98d7101fe007"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CqB63271B9UkBVZ/+dxJJUucS8RT0DrgpJHxpRLboiP3WlMRkwdqbgikqnFEFvf09k7B+S/ue47ftTPjkw5CDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T15:44:35.162946Z","bundle_sha256":"f7f0aa7aaea35c1628d9d8d801acad039174de4eef7f00ead3b5033bbfe0021c"}}