{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4IWFTAXZPNOQ6I6D2ZQ7LGF7V2","short_pith_number":"pith:4IWFTAXZ","schema_version":"1.0","canonical_sha256":"e22c5982f97b5d0f23c3d661f598bfaebcd82071ed026daebf3c9d62a058f9a0","source":{"kind":"arxiv","id":"1506.05526","version":2},"attestation_state":"computed","paper":{"title":"Ultraviolet Fixed Points in Conformal Gravity and General Quadratic Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Nobuyoshi Ohta, Roberto Percacci","submitted_at":"2015-06-18T01:23:28Z","abstract_excerpt":"We study the beta functions for four-dimensional conformal gravity using two different parametrizations of metric fluctuation, linear split and exponential parametrization. We find that after imposing the traceless conditions, the beta functions are the same in four dimensions though the dependence on the dimensions are quite different. This indicates the universality of these results. We also examine the beta functions in general quadratic theory with the Einstein and cosmological terms for exponential parametrization, and find that it leads to results for beta functions of dimensionful coupl"},"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":"1506.05526","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-18T01:23:28Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f4007921e5f2c29952f40f721b141164a3e4584825879be6ffa98e281f01d367","abstract_canon_sha256":"441df3824c085989b2b79c97d39e9c0b310b1503b58c52785392546b6fb6e0bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:03.906309Z","signature_b64":"nqmOsIFxggBHAqU1w9CrfxWusPFKeeF6+5Hnh+FSkzIaALwOtzcVg9KTDEFMqseMSpjDrhdKUGUjH6VIW8ptCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e22c5982f97b5d0f23c3d661f598bfaebcd82071ed026daebf3c9d62a058f9a0","last_reissued_at":"2026-05-18T01:23:03.905673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:03.905673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ultraviolet Fixed Points in Conformal Gravity and General Quadratic Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Nobuyoshi Ohta, Roberto Percacci","submitted_at":"2015-06-18T01:23:28Z","abstract_excerpt":"We study the beta functions for four-dimensional conformal gravity using two different parametrizations of metric fluctuation, linear split and exponential parametrization. We find that after imposing the traceless conditions, the beta functions are the same in four dimensions though the dependence on the dimensions are quite different. This indicates the universality of these results. We also examine the beta functions in general quadratic theory with the Einstein and cosmological terms for exponential parametrization, and find that it leads to results for beta functions of dimensionful coupl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05526","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":""},"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":"1506.05526","created_at":"2026-05-18T01:23:03.905776+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.05526v2","created_at":"2026-05-18T01:23:03.905776+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05526","created_at":"2026-05-18T01:23:03.905776+00:00"},{"alias_kind":"pith_short_12","alias_value":"4IWFTAXZPNOQ","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4IWFTAXZPNOQ6I6D","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4IWFTAXZ","created_at":"2026-05-18T12:29:05.191682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.00807","citing_title":"Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity","ref_index":47,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2","json":"https://pith.science/pith/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2.json","graph_json":"https://pith.science/api/pith-number/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2/graph.json","events_json":"https://pith.science/api/pith-number/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2/events.json","paper":"https://pith.science/paper/4IWFTAXZ"},"agent_actions":{"view_html":"https://pith.science/pith/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2","download_json":"https://pith.science/pith/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2.json","view_paper":"https://pith.science/paper/4IWFTAXZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.05526&json=true","fetch_graph":"https://pith.science/api/pith-number/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2/graph.json","fetch_events":"https://pith.science/api/pith-number/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2/action/storage_attestation","attest_author":"https://pith.science/pith/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2/action/author_attestation","sign_citation":"https://pith.science/pith/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2/action/citation_signature","submit_replication":"https://pith.science/pith/4IWFTAXZPNOQ6I6D2ZQ7LGF7V2/action/replication_record"}},"created_at":"2026-05-18T01:23:03.905776+00:00","updated_at":"2026-05-18T01:23:03.905776+00:00"}