{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:6ENWATZZFPZBUKXS7MYK6VAU2J","short_pith_number":"pith:6ENWATZZ","schema_version":"1.0","canonical_sha256":"f11b604f392bf21a2af2fb30af5414d27ebf0f647dea9a67b0886493e7b6d877","source":{"kind":"arxiv","id":"2012.15724","version":3},"attestation_state":"computed","paper":{"title":"On Local and Integrated Stress-Tensor Commutators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Gr\\'egoire Mathys, Jan de Boer, Mert Besken","submitted_at":"2020-12-31T17:21:44Z","abstract_excerpt":"We discuss some general aspects of commutators of local operators in Lorentzian CFTs, which can be obtained from a suitable analytic continuation of the Euclidean operator product expansion (OPE). Commutators only make sense as distributions, and care has to be taken to extract the right distribution from the OPE. We provide explicit computations in two and four-dimensional CFTs, focusing mainly on commutators of components of the stress-tensor. We rederive several familiar results, such as the canonical commutation relations of free field theory, the local form of the Poincar\\'e algebra, and "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2012.15724","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-12-31T17:21:44Z","cross_cats_sorted":[],"title_canon_sha256":"609d784bf5a0d816d3c9dd02b9f6eba3ca7a0b9401f6514d9fbc54a4a01b9e62","abstract_canon_sha256":"7110fd50958a3ca51a1638752347f4624e716ee02454d2910ca018c079b1a610"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:10:38.195965Z","signature_b64":"Df0t1aDOQogCVZIty5Qx86whylZ5HFAVxzr8heZmeWmx81L38daILaKc0+xQYBlS7RkDeOG4YusU0FpmFH58Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f11b604f392bf21a2af2fb30af5414d27ebf0f647dea9a67b0886493e7b6d877","last_reissued_at":"2026-07-05T03:10:38.195476Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:10:38.195476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Local and Integrated Stress-Tensor Commutators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Gr\\'egoire Mathys, Jan de Boer, Mert Besken","submitted_at":"2020-12-31T17:21:44Z","abstract_excerpt":"We discuss some general aspects of commutators of local operators in Lorentzian CFTs, which can be obtained from a suitable analytic continuation of the Euclidean operator product expansion (OPE). Commutators only make sense as distributions, and care has to be taken to extract the right distribution from the OPE. We provide explicit computations in two and four-dimensional CFTs, focusing mainly on commutators of components of the stress-tensor. We rederive several familiar results, such as the canonical commutation relations of free field theory, the local form of the Poincar\\'e algebra, and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.15724","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.15724/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2012.15724","created_at":"2026-07-05T03:10:38.195543+00:00"},{"alias_kind":"arxiv_version","alias_value":"2012.15724v3","created_at":"2026-07-05T03:10:38.195543+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.15724","created_at":"2026-07-05T03:10:38.195543+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ENWATZZFPZB","created_at":"2026-07-05T03:10:38.195543+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ENWATZZFPZBUKXS","created_at":"2026-07-05T03:10:38.195543+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ENWATZZ","created_at":"2026-07-05T03:10:38.195543+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6ENWATZZFPZBUKXS7MYK6VAU2J","json":"https://pith.science/pith/6ENWATZZFPZBUKXS7MYK6VAU2J.json","graph_json":"https://pith.science/api/pith-number/6ENWATZZFPZBUKXS7MYK6VAU2J/graph.json","events_json":"https://pith.science/api/pith-number/6ENWATZZFPZBUKXS7MYK6VAU2J/events.json","paper":"https://pith.science/paper/6ENWATZZ"},"agent_actions":{"view_html":"https://pith.science/pith/6ENWATZZFPZBUKXS7MYK6VAU2J","download_json":"https://pith.science/pith/6ENWATZZFPZBUKXS7MYK6VAU2J.json","view_paper":"https://pith.science/paper/6ENWATZZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2012.15724&json=true","fetch_graph":"https://pith.science/api/pith-number/6ENWATZZFPZBUKXS7MYK6VAU2J/graph.json","fetch_events":"https://pith.science/api/pith-number/6ENWATZZFPZBUKXS7MYK6VAU2J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ENWATZZFPZBUKXS7MYK6VAU2J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ENWATZZFPZBUKXS7MYK6VAU2J/action/storage_attestation","attest_author":"https://pith.science/pith/6ENWATZZFPZBUKXS7MYK6VAU2J/action/author_attestation","sign_citation":"https://pith.science/pith/6ENWATZZFPZBUKXS7MYK6VAU2J/action/citation_signature","submit_replication":"https://pith.science/pith/6ENWATZZFPZBUKXS7MYK6VAU2J/action/replication_record"}},"created_at":"2026-07-05T03:10:38.195543+00:00","updated_at":"2026-07-05T03:10:38.195543+00:00"}