{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:BK2IBHSIQGZ6464IB7F64YXN4P","short_pith_number":"pith:BK2IBHSI","schema_version":"1.0","canonical_sha256":"0ab4809e4881b3ee7b880fcbee62ede3db41926fce1a26a420734eef1246c8f9","source":{"kind":"arxiv","id":"1111.4997","version":3},"attestation_state":"computed","paper":{"title":"A Renormalizable 4-Dimensional Tensor Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Joseph Ben Geloun, Vincent Rivasseau","submitted_at":"2011-11-21T20:29:26Z","abstract_excerpt":"We prove that an integrated version of the Gurau colored tensor model supplemented with the usual Bosonic propagator on $U(1)^4$ is renormalizable to all orders in perturbation theory. The model is of the type expected for quantization of space-time in 4D Euclidean gravity and is the first example of a renormalizable model of this kind. Its vertex and propagator are four-stranded like in 4D group field theories, but without gauge averaging on the strands. Surprisingly perhaps, the model is of the $\\phi^6$ rather than of the $\\phi^4$ type, since two different $\\phi^6$-type interactions are log-"},"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":"1111.4997","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-21T20:29:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"2d015f55c9906d66ad1c8f51aa652bd28b30f81a0fc61daf54dcca6cb06b08cc","abstract_canon_sha256":"7063048917360d0b2f9db9aafb7199ea5e4ac8f07a76e7d46d6daf511545ac18"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:43.399068Z","signature_b64":"dWmr4u/o9ZU/KqjTO6f/BW2so08ceF4A43KzzBe4clYBTYALvkfRun0M7BRano7pyfQyoP4CVa/tHgO0yKSMBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ab4809e4881b3ee7b880fcbee62ede3db41926fce1a26a420734eef1246c8f9","last_reissued_at":"2026-05-18T04:04:43.398561Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:43.398561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Renormalizable 4-Dimensional Tensor Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Joseph Ben Geloun, Vincent Rivasseau","submitted_at":"2011-11-21T20:29:26Z","abstract_excerpt":"We prove that an integrated version of the Gurau colored tensor model supplemented with the usual Bosonic propagator on $U(1)^4$ is renormalizable to all orders in perturbation theory. The model is of the type expected for quantization of space-time in 4D Euclidean gravity and is the first example of a renormalizable model of this kind. Its vertex and propagator are four-stranded like in 4D group field theories, but without gauge averaging on the strands. Surprisingly perhaps, the model is of the $\\phi^6$ rather than of the $\\phi^4$ type, since two different $\\phi^6$-type interactions are log-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4997","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1111.4997","created_at":"2026-05-18T04:04:43.398638+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.4997v3","created_at":"2026-05-18T04:04:43.398638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4997","created_at":"2026-05-18T04:04:43.398638+00:00"},{"alias_kind":"pith_short_12","alias_value":"BK2IBHSIQGZ6","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BK2IBHSIQGZ6464I","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BK2IBHSI","created_at":"2026-05-18T12:26:24.575870+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":79,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BK2IBHSIQGZ6464IB7F64YXN4P","json":"https://pith.science/pith/BK2IBHSIQGZ6464IB7F64YXN4P.json","graph_json":"https://pith.science/api/pith-number/BK2IBHSIQGZ6464IB7F64YXN4P/graph.json","events_json":"https://pith.science/api/pith-number/BK2IBHSIQGZ6464IB7F64YXN4P/events.json","paper":"https://pith.science/paper/BK2IBHSI"},"agent_actions":{"view_html":"https://pith.science/pith/BK2IBHSIQGZ6464IB7F64YXN4P","download_json":"https://pith.science/pith/BK2IBHSIQGZ6464IB7F64YXN4P.json","view_paper":"https://pith.science/paper/BK2IBHSI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.4997&json=true","fetch_graph":"https://pith.science/api/pith-number/BK2IBHSIQGZ6464IB7F64YXN4P/graph.json","fetch_events":"https://pith.science/api/pith-number/BK2IBHSIQGZ6464IB7F64YXN4P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BK2IBHSIQGZ6464IB7F64YXN4P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BK2IBHSIQGZ6464IB7F64YXN4P/action/storage_attestation","attest_author":"https://pith.science/pith/BK2IBHSIQGZ6464IB7F64YXN4P/action/author_attestation","sign_citation":"https://pith.science/pith/BK2IBHSIQGZ6464IB7F64YXN4P/action/citation_signature","submit_replication":"https://pith.science/pith/BK2IBHSIQGZ6464IB7F64YXN4P/action/replication_record"}},"created_at":"2026-05-18T04:04:43.398638+00:00","updated_at":"2026-05-18T04:04:43.398638+00:00"}