{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:LTZSEEUE4BWSYIZNUSIWN6UZ3G","short_pith_number":"pith:LTZSEEUE","schema_version":"1.0","canonical_sha256":"5cf3221284e06d2c232da49166fa99d9a02ff6b6b0ce27b3dfec8f7e0665b328","source":{"kind":"arxiv","id":"1101.3294","version":6},"attestation_state":"computed","paper":{"title":"A finiteness bound for the EPRL/FK spin foam model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Aleksandar Mikovic, Marko Vojinovic","submitted_at":"2011-01-17T19:41:26Z","abstract_excerpt":"We show that the EPRL/FK spin foam model of quantum gravity has an absolutely convergent partition function if the vertex amplitude is divided by an appropriate power $p$ of the product of dimensions of the vertex spins. This power is independent of the spin foam 2-complex and we find that $p>2$ insures the convergence of the state sum. Determining the convergence of the state sum for the values $0 \\le p \\le 2$ requires the knowledge of the large-spin asymptotics of the vertex amplitude in the cases when some of the vertex spins are large and other are small."},"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":"1101.3294","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-17T19:41:26Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"35308a3e0a5e21bf46193f46b6f2c4d5fc165fecc970b02ba275acb3afe46970","abstract_canon_sha256":"ec91d68e1226c4edad762f338f3ae27286e58ad0f7aea6c932b62192e0489420"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:37.260421Z","signature_b64":"+wcIaYobeypvAfIWesihOWrdftrMiwa9W+yAt9S5YdLK9Kf53o6aY87Hzd5vpkNorCIGxXzT4vwAKESB5h1XAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cf3221284e06d2c232da49166fa99d9a02ff6b6b0ce27b3dfec8f7e0665b328","last_reissued_at":"2026-05-18T03:36:37.259967Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:37.259967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A finiteness bound for the EPRL/FK spin foam model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Aleksandar Mikovic, Marko Vojinovic","submitted_at":"2011-01-17T19:41:26Z","abstract_excerpt":"We show that the EPRL/FK spin foam model of quantum gravity has an absolutely convergent partition function if the vertex amplitude is divided by an appropriate power $p$ of the product of dimensions of the vertex spins. This power is independent of the spin foam 2-complex and we find that $p>2$ insures the convergence of the state sum. Determining the convergence of the state sum for the values $0 \\le p \\le 2$ requires the knowledge of the large-spin asymptotics of the vertex amplitude in the cases when some of the vertex spins are large and other are small."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3294","kind":"arxiv","version":6},"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":"1101.3294","created_at":"2026-05-18T03:36:37.260030+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.3294v6","created_at":"2026-05-18T03:36:37.260030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3294","created_at":"2026-05-18T03:36:37.260030+00:00"},{"alias_kind":"pith_short_12","alias_value":"LTZSEEUE4BWS","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"LTZSEEUE4BWSYIZN","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"LTZSEEUE","created_at":"2026-05-18T12:26:34.985390+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/LTZSEEUE4BWSYIZNUSIWN6UZ3G","json":"https://pith.science/pith/LTZSEEUE4BWSYIZNUSIWN6UZ3G.json","graph_json":"https://pith.science/api/pith-number/LTZSEEUE4BWSYIZNUSIWN6UZ3G/graph.json","events_json":"https://pith.science/api/pith-number/LTZSEEUE4BWSYIZNUSIWN6UZ3G/events.json","paper":"https://pith.science/paper/LTZSEEUE"},"agent_actions":{"view_html":"https://pith.science/pith/LTZSEEUE4BWSYIZNUSIWN6UZ3G","download_json":"https://pith.science/pith/LTZSEEUE4BWSYIZNUSIWN6UZ3G.json","view_paper":"https://pith.science/paper/LTZSEEUE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.3294&json=true","fetch_graph":"https://pith.science/api/pith-number/LTZSEEUE4BWSYIZNUSIWN6UZ3G/graph.json","fetch_events":"https://pith.science/api/pith-number/LTZSEEUE4BWSYIZNUSIWN6UZ3G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LTZSEEUE4BWSYIZNUSIWN6UZ3G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LTZSEEUE4BWSYIZNUSIWN6UZ3G/action/storage_attestation","attest_author":"https://pith.science/pith/LTZSEEUE4BWSYIZNUSIWN6UZ3G/action/author_attestation","sign_citation":"https://pith.science/pith/LTZSEEUE4BWSYIZNUSIWN6UZ3G/action/citation_signature","submit_replication":"https://pith.science/pith/LTZSEEUE4BWSYIZNUSIWN6UZ3G/action/replication_record"}},"created_at":"2026-05-18T03:36:37.260030+00:00","updated_at":"2026-05-18T03:36:37.260030+00:00"}