{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:KISS4ACOKKVWNAA6T4YH6QYI6C","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":"d2238fd063e32b3a2f2074393d16f052b8a5fb514cace0d4eeec0732c1f6fd00","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-09-27T18:00:16Z","title_canon_sha256":"168e16795c82951ed77f2f2f4d0304fefabd9af611127894cd37444993f27135"},"schema_version":"1.0","source":{"id":"2109.13269","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.13269","created_at":"2026-07-05T04:02:56Z"},{"alias_kind":"arxiv_version","alias_value":"2109.13269v2","created_at":"2026-07-05T04:02:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.13269","created_at":"2026-07-05T04:02:56Z"},{"alias_kind":"pith_short_12","alias_value":"KISS4ACOKKVW","created_at":"2026-07-05T04:02:56Z"},{"alias_kind":"pith_short_16","alias_value":"KISS4ACOKKVWNAA6","created_at":"2026-07-05T04:02:56Z"},{"alias_kind":"pith_short_8","alias_value":"KISS4ACO","created_at":"2026-07-05T04:02:56Z"}],"graph_snapshots":[{"event_id":"sha256:3422e7ba2e8b8a133a13d14af680302835e4ad206ddd734d3dc1945464503c32","target":"graph","created_at":"2026-07-05T04:02:56Z","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/2109.13269/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze the commutation relations of light-ray operators in conformal field theories. We first establish the algebra of light-ray operators built out of higher spin currents in free CFTs and find explicit expressions for the corresponding structure constants. The resulting algebras are remarkably similar to the generalized Zamolodchikov's $W_\\infty$ algebra in a two-dimensional conformal field theory. We then compute the commutator of generalized energy flow operators in a generic, interacting CFTs in $d>2$. We show that it receives contribution from the energy flow operator itself, as well","authors_text":"Alexander Zhiboedov, Gregory P. Korchemsky","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-09-27T18:00:16Z","title":"On the light-ray algebra in conformal field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.13269","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":"sha256:043d2877f15dab8bf0886a25244bffb7d2e544d37b1849876237601f905849d4","target":"record","created_at":"2026-07-05T04:02:56Z","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":"d2238fd063e32b3a2f2074393d16f052b8a5fb514cace0d4eeec0732c1f6fd00","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-09-27T18:00:16Z","title_canon_sha256":"168e16795c82951ed77f2f2f4d0304fefabd9af611127894cd37444993f27135"},"schema_version":"1.0","source":{"id":"2109.13269","kind":"arxiv","version":2}},"canonical_sha256":"52252e004e52ab66801e9f307f4308f0a337fbd33d4d3fc89503243c5e9c7a31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52252e004e52ab66801e9f307f4308f0a337fbd33d4d3fc89503243c5e9c7a31","first_computed_at":"2026-07-05T04:02:56.911397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:02:56.911397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xb85w3hkcipLi7LqQ9E4pGdqCalz/2sGhGKvnz4mtnJVSR3sojos6thME6XUqzlZLVcrSq0tYSqzlBUlxDBOCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:02:56.911898Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.13269","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:043d2877f15dab8bf0886a25244bffb7d2e544d37b1849876237601f905849d4","sha256:3422e7ba2e8b8a133a13d14af680302835e4ad206ddd734d3dc1945464503c32"],"state_sha256":"1cbcfe437650b1929dff286960faf686229b68acbd35e8279ae27e0f9804c434"}