{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CX3SERQSIRLFWVYR2HODJWLON6","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":"5f69d907f7b74b087609e71d69c6e4bc049e109824a9c64a1f6b11bb5ecf8280","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-26T21:47:07Z","title_canon_sha256":"00dafd0e8b87582f901c1bc23c4e3582921a64629cc20d3802cb1d6cbb94e97f"},"schema_version":"1.0","source":{"id":"1601.07198","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07198","created_at":"2026-05-18T01:02:45Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07198v2","created_at":"2026-05-18T01:02:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07198","created_at":"2026-05-18T01:02:45Z"},{"alias_kind":"pith_short_12","alias_value":"CX3SERQSIRLF","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CX3SERQSIRLFWVYR","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CX3SERQS","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:2949fe9126ea4d6ace8af0c95b6d6dba220fba568b092c95150111effaea8812","target":"graph","created_at":"2026-05-18T01:02:45Z","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"},"paper":{"abstract_excerpt":"We apply large $N$ diagrammatic techniques for theories with double-trace interactions to the leading corrections to $C_J$, the coefficient of a conserved current two-point function, and $C_T$, the coefficient of the stress-energy tensor two-point function. We study in detail two famous conformal field theories in continuous dimensions, the scalar $O(N)$ model and the Gross-Neveu model. For the $O(N)$ model, where the answers for the leading large $N$ corrections to $C_J$ and $C_T$ were derived long ago using analytic bootstrap, we show that the diagrammatic approach reproduces them correctly.","authors_text":"Grigory Tarnopolsky, Igor R. Klebanov, Kenan Diab, Lin Fei, Simone Giombi","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-26T21:47:07Z","title":"On $C_J$ and $C_T$ in the Gross-Neveu and $O(N)$ Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07198","kind":"arxiv","version":2},"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":"sha256:331a5d2970198fc964c9d7e5bf14fc64961a261786c8772507ece69179f826a9","target":"record","created_at":"2026-05-18T01:02:45Z","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":"5f69d907f7b74b087609e71d69c6e4bc049e109824a9c64a1f6b11bb5ecf8280","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-26T21:47:07Z","title_canon_sha256":"00dafd0e8b87582f901c1bc23c4e3582921a64629cc20d3802cb1d6cbb94e97f"},"schema_version":"1.0","source":{"id":"1601.07198","kind":"arxiv","version":2}},"canonical_sha256":"15f722461244565b5711d1dc34d96e6f8fb96cf254d3be5d1f289458c7d28ff2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15f722461244565b5711d1dc34d96e6f8fb96cf254d3be5d1f289458c7d28ff2","first_computed_at":"2026-05-18T01:02:45.166144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:45.166144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZPHJjQtA5ttVduSqmwmHuNpCRK3eN2nvezmAhFkrBZIhYMFi39a1zGTPxd45IVcwhUK3ycRo696DSuTB0q1KAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:45.166631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.07198","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:331a5d2970198fc964c9d7e5bf14fc64961a261786c8772507ece69179f826a9","sha256:2949fe9126ea4d6ace8af0c95b6d6dba220fba568b092c95150111effaea8812"],"state_sha256":"6de1ceffcce63bf66b94b9e1f8c9d8d7610338f9277f3e37d80640c9e51fb906"}