{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:B7JIH47IL2Z7V5B7BL7JI3QYDY","short_pith_number":"pith:B7JIH47I","schema_version":"1.0","canonical_sha256":"0fd283f3e85eb3faf43f0afe946e181e38dbbb55cdd621200da7bb23bdb70655","source":{"kind":"arxiv","id":"2208.01441","version":2},"attestation_state":"computed","paper":{"title":"A note on quark and gluon energy-momentum tensors","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Long Chen, Micha{\\l} Czakon, Taushif Ahmed","submitted_at":"2022-08-02T13:17:40Z","abstract_excerpt":"We discuss the constraints on quark and gluon energy-momentum tensors in QCD that follow from the requirement of Renormalisation-Group invariance of the traces of these operators. Our study covers the most general form of the latter traces, while the energy-momentum tensors themselves are only subjected to very mild constraints. We derive Renormalisation-Group equations for the two finite independent functions of the strong coupling constant and renormalisation scale of minimal subtraction which completely define the energy-momentum tensors. We demonstrate that previously proposed definitions "},"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":"2208.01441","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-08-02T13:17:40Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"ded57273c043a53858e8ec3a2920a41acd0d279c2c42587b5f8b4e211aa26317","abstract_canon_sha256":"891d2897591a78dd3542087e7c652ae2f9e0a32f8f19c7974b0faff43ba1cd9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:09:43.264113Z","signature_b64":"ReEyIq3j74V9FUr/6hK/hsfaUBSisph9UlXTy258Dwe6/1+4+A6Ub1VIi33hxgDYtNTybt86y1QEtePeFjFUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fd283f3e85eb3faf43f0afe946e181e38dbbb55cdd621200da7bb23bdb70655","last_reissued_at":"2026-07-05T07:09:43.263642Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:09:43.263642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on quark and gluon energy-momentum tensors","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Long Chen, Micha{\\l} Czakon, Taushif Ahmed","submitted_at":"2022-08-02T13:17:40Z","abstract_excerpt":"We discuss the constraints on quark and gluon energy-momentum tensors in QCD that follow from the requirement of Renormalisation-Group invariance of the traces of these operators. Our study covers the most general form of the latter traces, while the energy-momentum tensors themselves are only subjected to very mild constraints. We derive Renormalisation-Group equations for the two finite independent functions of the strong coupling constant and renormalisation scale of minimal subtraction which completely define the energy-momentum tensors. We demonstrate that previously proposed definitions "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.01441","kind":"arxiv","version":2},"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/2208.01441/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":"2208.01441","created_at":"2026-07-05T07:09:43.263702+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.01441v2","created_at":"2026-07-05T07:09:43.263702+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.01441","created_at":"2026-07-05T07:09:43.263702+00:00"},{"alias_kind":"pith_short_12","alias_value":"B7JIH47IL2Z7","created_at":"2026-07-05T07:09:43.263702+00:00"},{"alias_kind":"pith_short_16","alias_value":"B7JIH47IL2Z7V5B7","created_at":"2026-07-05T07:09:43.263702+00:00"},{"alias_kind":"pith_short_8","alias_value":"B7JIH47I","created_at":"2026-07-05T07:09:43.263702+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.01002","citing_title":"Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis","ref_index":38,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B7JIH47IL2Z7V5B7BL7JI3QYDY","json":"https://pith.science/pith/B7JIH47IL2Z7V5B7BL7JI3QYDY.json","graph_json":"https://pith.science/api/pith-number/B7JIH47IL2Z7V5B7BL7JI3QYDY/graph.json","events_json":"https://pith.science/api/pith-number/B7JIH47IL2Z7V5B7BL7JI3QYDY/events.json","paper":"https://pith.science/paper/B7JIH47I"},"agent_actions":{"view_html":"https://pith.science/pith/B7JIH47IL2Z7V5B7BL7JI3QYDY","download_json":"https://pith.science/pith/B7JIH47IL2Z7V5B7BL7JI3QYDY.json","view_paper":"https://pith.science/paper/B7JIH47I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.01441&json=true","fetch_graph":"https://pith.science/api/pith-number/B7JIH47IL2Z7V5B7BL7JI3QYDY/graph.json","fetch_events":"https://pith.science/api/pith-number/B7JIH47IL2Z7V5B7BL7JI3QYDY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B7JIH47IL2Z7V5B7BL7JI3QYDY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B7JIH47IL2Z7V5B7BL7JI3QYDY/action/storage_attestation","attest_author":"https://pith.science/pith/B7JIH47IL2Z7V5B7BL7JI3QYDY/action/author_attestation","sign_citation":"https://pith.science/pith/B7JIH47IL2Z7V5B7BL7JI3QYDY/action/citation_signature","submit_replication":"https://pith.science/pith/B7JIH47IL2Z7V5B7BL7JI3QYDY/action/replication_record"}},"created_at":"2026-07-05T07:09:43.263702+00:00","updated_at":"2026-07-05T07:09:43.263702+00:00"}