{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:2CUG3PQCQ52IY6NIZXIKQUF3LN","short_pith_number":"pith:2CUG3PQC","schema_version":"1.0","canonical_sha256":"d0a86dbe0287748c79a8cdd0a850bb5b5c95b360ab3b65121d5edb0f85b4303c","source":{"kind":"arxiv","id":"hep-th/0108009","version":1},"attestation_state":"computed","paper":{"title":"Hyperbolicity of Partition Function and Quantum Gravity","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Kazuhiro Hikami","submitted_at":"2001-08-02T10:22:16Z","abstract_excerpt":"We study a geometry of the partition function which is defined in terms of a solution of the five-term relation. It is shown that the 3-dimensional hyperbolic structure or Euclidean AdS_3 naturally arises in the classical limit of this invariant. We discuss that the oriented ideal tetrahedron can be assigned to the partition function of string."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0108009","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-08-02T10:22:16Z","cross_cats_sorted":[],"title_canon_sha256":"23db957e998f9f370f601cbef498c5a65585c16d2ef28f8c4d74113c6c1e9adb","abstract_canon_sha256":"d85e33b04fff4b63f1308bc02808d1796a7c4d49f0e4c1f818c5557de76fae2c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:48:09.842541Z","signature_b64":"j5lQyh0UB1BuCFXY+vFtYoh0mUOMPlwc6Ci4Ib1Nc+AYW/9apm8tYQ9D981yRImQr3D/qOTLcQiKtQGHkY/OBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0a86dbe0287748c79a8cdd0a850bb5b5c95b360ab3b65121d5edb0f85b4303c","last_reissued_at":"2026-07-04T14:48:09.842171Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:48:09.842171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hyperbolicity of Partition Function and Quantum Gravity","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Kazuhiro Hikami","submitted_at":"2001-08-02T10:22:16Z","abstract_excerpt":"We study a geometry of the partition function which is defined in terms of a solution of the five-term relation. It is shown that the 3-dimensional hyperbolic structure or Euclidean AdS_3 naturally arises in the classical limit of this invariant. We discuss that the oriented ideal tetrahedron can be assigned to the partition function of string."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0108009","kind":"arxiv","version":1},"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/0108009/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0108009","created_at":"2026-07-04T14:48:09.842231+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0108009v1","created_at":"2026-07-04T14:48:09.842231+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0108009","created_at":"2026-07-04T14:48:09.842231+00:00"},{"alias_kind":"pith_short_12","alias_value":"2CUG3PQCQ52I","created_at":"2026-07-04T14:48:09.842231+00:00"},{"alias_kind":"pith_short_16","alias_value":"2CUG3PQCQ52IY6NI","created_at":"2026-07-04T14:48:09.842231+00:00"},{"alias_kind":"pith_short_8","alias_value":"2CUG3PQC","created_at":"2026-07-04T14:48:09.842231+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2CUG3PQCQ52IY6NIZXIKQUF3LN","json":"https://pith.science/pith/2CUG3PQCQ52IY6NIZXIKQUF3LN.json","graph_json":"https://pith.science/api/pith-number/2CUG3PQCQ52IY6NIZXIKQUF3LN/graph.json","events_json":"https://pith.science/api/pith-number/2CUG3PQCQ52IY6NIZXIKQUF3LN/events.json","paper":"https://pith.science/paper/2CUG3PQC"},"agent_actions":{"view_html":"https://pith.science/pith/2CUG3PQCQ52IY6NIZXIKQUF3LN","download_json":"https://pith.science/pith/2CUG3PQCQ52IY6NIZXIKQUF3LN.json","view_paper":"https://pith.science/paper/2CUG3PQC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0108009&json=true","fetch_graph":"https://pith.science/api/pith-number/2CUG3PQCQ52IY6NIZXIKQUF3LN/graph.json","fetch_events":"https://pith.science/api/pith-number/2CUG3PQCQ52IY6NIZXIKQUF3LN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2CUG3PQCQ52IY6NIZXIKQUF3LN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2CUG3PQCQ52IY6NIZXIKQUF3LN/action/storage_attestation","attest_author":"https://pith.science/pith/2CUG3PQCQ52IY6NIZXIKQUF3LN/action/author_attestation","sign_citation":"https://pith.science/pith/2CUG3PQCQ52IY6NIZXIKQUF3LN/action/citation_signature","submit_replication":"https://pith.science/pith/2CUG3PQCQ52IY6NIZXIKQUF3LN/action/replication_record"}},"created_at":"2026-07-04T14:48:09.842231+00:00","updated_at":"2026-07-04T14:48:09.842231+00:00"}