{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GQSSGYQIP4BH6OPOUSFQZUXMX3","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":"01675b760d64a7b9b37a1853e4ed84137682a3439642f792975254b77bcdf6f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-25T16:06:42Z","title_canon_sha256":"5bfe7568b92346a557e9feb4cb75c349cf1dfea9250f575a790fd99c94f62eec"},"schema_version":"1.0","source":{"id":"1607.07334","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07334","created_at":"2026-05-18T00:51:07Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07334v3","created_at":"2026-05-18T00:51:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07334","created_at":"2026-05-18T00:51:07Z"},{"alias_kind":"pith_short_12","alias_value":"GQSSGYQIP4BH","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GQSSGYQIP4BH6OPO","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GQSSGYQI","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:f5d5c4f2192b1400a8cd4bc24e66932ed68738fd719b2a1189504b27572bc37e","target":"graph","created_at":"2026-05-18T00:51:07Z","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 explore the Mellin representation of correlation functions in conformal field theories in the weak coupling regime. We provide a complete proof for a set of Feynman rules to write the Mellin amplitude for a general tree level Feynman diagram involving only scalar operators. We find a factorised form involving beta functions associated to the propagators, similar to tree level Feynman rules in momentum space for ordinary QFTs. We also briefly consider the case where a generic scalar perturbation of the free CFT breaks conformal invariance. Mellin space still has some utility and one can cons","authors_text":"Amin A. Nizami, Arnab Rudra, Mritunjay Verma, Sourav Sarkar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-25T16:06:42Z","title":"Exploring Perturbative Conformal Field Theory in Mellin space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07334","kind":"arxiv","version":3},"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":"sha256:5075df49b8f855ae178830facceb95303138970df1cf1bab679b05ccbe342162","target":"record","created_at":"2026-05-18T00:51:07Z","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":"01675b760d64a7b9b37a1853e4ed84137682a3439642f792975254b77bcdf6f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-25T16:06:42Z","title_canon_sha256":"5bfe7568b92346a557e9feb4cb75c349cf1dfea9250f575a790fd99c94f62eec"},"schema_version":"1.0","source":{"id":"1607.07334","kind":"arxiv","version":3}},"canonical_sha256":"34252362087f027f39eea48b0cd2ecbef08bb46a29c74fbd39edd5c6ec8c2085","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34252362087f027f39eea48b0cd2ecbef08bb46a29c74fbd39edd5c6ec8c2085","first_computed_at":"2026-05-18T00:51:07.198438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:07.198438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yXfeweO/Q0hsOXOvK3Z0HumdFKIphAQQ0zagoE1izGl6hWwszHy1ysk0YuJCofPWNFhie/6Kw1Gc15qLALGNCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:07.198829Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07334","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5075df49b8f855ae178830facceb95303138970df1cf1bab679b05ccbe342162","sha256:f5d5c4f2192b1400a8cd4bc24e66932ed68738fd719b2a1189504b27572bc37e"],"state_sha256":"26dff1e275ca36eab6d8dc09b675fb61e56f0d16742988c7a2d3749d45e6c0c9"}