{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7W4CFV5KI5PNGWIJ3AQTO4OTAK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d40fa3dd3f9cb2e9ca9b903943e12c1423813a82e073ee7f8a1b482c5888ac01","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-02-27T21:25:55Z","title_canon_sha256":"3b89cc21081c72b099f49862d4713b7cf4a5e20622615af5fe809faf0e012d53"},"schema_version":"1.0","source":{"id":"2603.00321","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.00321","created_at":"2026-05-28T02:04:46Z"},{"alias_kind":"arxiv_version","alias_value":"2603.00321v4","created_at":"2026-05-28T02:04:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.00321","created_at":"2026-05-28T02:04:46Z"},{"alias_kind":"pith_short_12","alias_value":"7W4CFV5KI5PN","created_at":"2026-05-28T02:04:46Z"},{"alias_kind":"pith_short_16","alias_value":"7W4CFV5KI5PNGWIJ","created_at":"2026-05-28T02:04:46Z"},{"alias_kind":"pith_short_8","alias_value":"7W4CFV5K","created_at":"2026-05-28T02:04:46Z"}],"graph_snapshots":[{"event_id":"sha256:ff65bd02c7d2198b66df01129a8d0eb8a6118975e17d00bb89b667da873dadf3","target":"graph","created_at":"2026-05-28T02:04:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2603.00321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish a universal relation between the coefficient $C_T$ of the energy momentum tensor two point function and the coefficient $c$ multiplying the term quadratic in the Weyl tensor in the Weyl anomaly of a generic even dimensional conformal field theory. Our first derivation combines long known holographic results for $C_T$ and for the Weyl anomaly in Einstein bulk gravity with a recently obtained Chern Gauss Bonnet formula for compact Einstein manifolds. This theorem isolates the Weyl squared contribution in the relation between the Euler density and the $Q$ curvature, allowing us to id","authors_text":"Camilo N\\'u\\~nez-Barra, Danilo E. Diaz, Fabrizzio Bugini, Rodrigo Aros","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-02-27T21:25:55Z","title":"Universal relation between $C_{T}$ and the CFT Weyl anomaly"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.00321","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d2b93774a7ff0e74c5f47229b2bfc7fb9b69873635f84d1a611a556188fcb23d","target":"record","created_at":"2026-05-28T02:04:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d40fa3dd3f9cb2e9ca9b903943e12c1423813a82e073ee7f8a1b482c5888ac01","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-02-27T21:25:55Z","title_canon_sha256":"3b89cc21081c72b099f49862d4713b7cf4a5e20622615af5fe809faf0e012d53"},"schema_version":"1.0","source":{"id":"2603.00321","kind":"arxiv","version":4}},"canonical_sha256":"fdb822d7aa475ed35909d8213771d30287317b2f7a1f6d2f974c652ddcc27338","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdb822d7aa475ed35909d8213771d30287317b2f7a1f6d2f974c652ddcc27338","first_computed_at":"2026-05-28T02:04:46.621913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T02:04:46.621913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RHNtTyuridIGjtB8vNSKyfyppJ29ko3VbiUhXYy1TAEbv9aqzZscJQu9kuYE3pqn0yJ071JeZXcaX/Dk4/3TBw==","signature_status":"signed_v1","signed_at":"2026-05-28T02:04:46.622439Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.00321","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2b93774a7ff0e74c5f47229b2bfc7fb9b69873635f84d1a611a556188fcb23d","sha256:ff65bd02c7d2198b66df01129a8d0eb8a6118975e17d00bb89b667da873dadf3"],"state_sha256":"01b25953e22747170ef80f5b0580e57fae5eac47c14ac3c1a2754bfc66f1fc25"}