{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LJHTXPAJ2BCRMG6FV33UO2FUE6","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":"95bc2167b904200573dd5d004a3d6fa125e04d17f6fbc2a5dae5fb5c8700de33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-29T19:58:04Z","title_canon_sha256":"d381ea942e1829d7a0416baa5cd0a00cc0cffeac6e2fa8ff859d4c20b00a68ad"},"schema_version":"1.0","source":{"id":"1304.7760","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7760","created_at":"2026-05-17T23:57:16Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7760v4","created_at":"2026-05-17T23:57:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7760","created_at":"2026-05-17T23:57:16Z"},{"alias_kind":"pith_short_12","alias_value":"LJHTXPAJ2BCR","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LJHTXPAJ2BCRMG6F","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LJHTXPAJ","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:165021552696eb8738b9362b85e061001a61eef44c8101fee8dbcaa981c3662f","target":"graph","created_at":"2026-05-17T23:57:16Z","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 present a comprehensive analysis of the implications of conformal invariance for 3-point functions of the stress-energy tensor, conserved currents and scalar operators in general dimension and in momentum space. Our starting point is a novel and very effective decomposition of tensor correlators which reduces their computation to that of a number of scalar form factors. For example, the most general 3-point function of a conserved and traceless stress-energy tensor is determined by only five form factors. Dilatations and special conformal Ward identities then impose additional conditions on","authors_text":"Adam Bzowski, Kostas Skenderis, Paul McFadden","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-29T19:58:04Z","title":"Implications of conformal invariance in momentum space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7760","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:d1b6702d612ef82c78f173d3ad50ae72fe42880269f24fad87ee96facfaedb74","target":"record","created_at":"2026-05-17T23:57:16Z","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":"95bc2167b904200573dd5d004a3d6fa125e04d17f6fbc2a5dae5fb5c8700de33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-29T19:58:04Z","title_canon_sha256":"d381ea942e1829d7a0416baa5cd0a00cc0cffeac6e2fa8ff859d4c20b00a68ad"},"schema_version":"1.0","source":{"id":"1304.7760","kind":"arxiv","version":4}},"canonical_sha256":"5a4f3bbc09d045161bc5aef74768b4279be79cd2668d1528285fb042c815d37a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a4f3bbc09d045161bc5aef74768b4279be79cd2668d1528285fb042c815d37a","first_computed_at":"2026-05-17T23:57:16.147550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:16.147550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SzFzvjg3IGjKR7KJoWfecY2inCG5rJZ4vEvJUCjMYa6hMMfoT+h6udd81ICkOpZBbx9efecab0b7388dqJikBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:16.148162Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.7760","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1b6702d612ef82c78f173d3ad50ae72fe42880269f24fad87ee96facfaedb74","sha256:165021552696eb8738b9362b85e061001a61eef44c8101fee8dbcaa981c3662f"],"state_sha256":"187b6be18d9ae80ff6697e2903801ee73a4cd14d78b0cfb9037d0bedd4e48f03"}