{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:D2DBGMOKL6PBAWD4ITHEF7Z2DZ","short_pith_number":"pith:D2DBGMOK","schema_version":"1.0","canonical_sha256":"1e861331ca5f9e10587c44ce42ff3a1e4586833f5be0875f2c3cb7a835a0ff98","source":{"kind":"arxiv","id":"hep-th/9907154","version":2},"attestation_state":"computed","paper":{"title":"Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"C. Rovelli, K. Krasnov, L. Freidel, R. De Pietri","submitted_at":"1999-07-19T17:26:58Z","abstract_excerpt":"Boulatov and Ooguri have generalized the matrix models of 2d quantum gravity to 3d and 4d, in the form of field theories over group manifolds. We show that the Barrett-Crane quantum gravity model arises naturally from a theory of this type, but restricted to the homogeneous space S^3=SO(4)/SO(3), as a term in its Feynman expansion. From such a perspective, 4d quantum spacetime emerges as a Feynman graph, in the manner of the 2d matrix models. This formalism provides a precise meaning to the ``sum over triangulations'', which is presumably necessary for a physical interpretation of a spin foam "},"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/9907154","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-07-19T17:26:58Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3e8656ea0af4a0a9a6e5487770a9b63377d77499c4960cc56eea2ff8979d611c","abstract_canon_sha256":"0b9dff3fa55233633c37a233d31303b524b9f42d67f274f7778e0d313284ca47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:14:54.905748Z","signature_b64":"toXEeoJwGuGXJW0x1ENofOsuwO93Zuf4qoirKH2pG1UhMaj+M7CzgAzyn60+qJDqSmS9DnDxrcttFtFAv3IeDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e861331ca5f9e10587c44ce42ff3a1e4586833f5be0875f2c3cb7a835a0ff98","last_reissued_at":"2026-07-04T16:14:54.905354Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:14:54.905354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"C. Rovelli, K. Krasnov, L. Freidel, R. De Pietri","submitted_at":"1999-07-19T17:26:58Z","abstract_excerpt":"Boulatov and Ooguri have generalized the matrix models of 2d quantum gravity to 3d and 4d, in the form of field theories over group manifolds. We show that the Barrett-Crane quantum gravity model arises naturally from a theory of this type, but restricted to the homogeneous space S^3=SO(4)/SO(3), as a term in its Feynman expansion. From such a perspective, 4d quantum spacetime emerges as a Feynman graph, in the manner of the 2d matrix models. This formalism provides a precise meaning to the ``sum over triangulations'', which is presumably necessary for a physical interpretation of a spin foam "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9907154","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/9907154/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/9907154","created_at":"2026-07-04T16:14:54.905418+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9907154v2","created_at":"2026-07-04T16:14:54.905418+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9907154","created_at":"2026-07-04T16:14:54.905418+00:00"},{"alias_kind":"pith_short_12","alias_value":"D2DBGMOKL6PB","created_at":"2026-07-04T16:14:54.905418+00:00"},{"alias_kind":"pith_short_16","alias_value":"D2DBGMOKL6PBAWD4","created_at":"2026-07-04T16:14:54.905418+00:00"},{"alias_kind":"pith_short_8","alias_value":"D2DBGMOK","created_at":"2026-07-04T16:14:54.905418+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.18977","citing_title":"Collective excitations in quantum gravity condensates","ref_index":38,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/D2DBGMOKL6PBAWD4ITHEF7Z2DZ","json":"https://pith.science/pith/D2DBGMOKL6PBAWD4ITHEF7Z2DZ.json","graph_json":"https://pith.science/api/pith-number/D2DBGMOKL6PBAWD4ITHEF7Z2DZ/graph.json","events_json":"https://pith.science/api/pith-number/D2DBGMOKL6PBAWD4ITHEF7Z2DZ/events.json","paper":"https://pith.science/paper/D2DBGMOK"},"agent_actions":{"view_html":"https://pith.science/pith/D2DBGMOKL6PBAWD4ITHEF7Z2DZ","download_json":"https://pith.science/pith/D2DBGMOKL6PBAWD4ITHEF7Z2DZ.json","view_paper":"https://pith.science/paper/D2DBGMOK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9907154&json=true","fetch_graph":"https://pith.science/api/pith-number/D2DBGMOKL6PBAWD4ITHEF7Z2DZ/graph.json","fetch_events":"https://pith.science/api/pith-number/D2DBGMOKL6PBAWD4ITHEF7Z2DZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D2DBGMOKL6PBAWD4ITHEF7Z2DZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D2DBGMOKL6PBAWD4ITHEF7Z2DZ/action/storage_attestation","attest_author":"https://pith.science/pith/D2DBGMOKL6PBAWD4ITHEF7Z2DZ/action/author_attestation","sign_citation":"https://pith.science/pith/D2DBGMOKL6PBAWD4ITHEF7Z2DZ/action/citation_signature","submit_replication":"https://pith.science/pith/D2DBGMOKL6PBAWD4ITHEF7Z2DZ/action/replication_record"}},"created_at":"2026-07-04T16:14:54.905418+00:00","updated_at":"2026-07-04T16:14:54.905418+00:00"}