{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:R6DVD7N52MB6R3NWM6EGT5ICIA","short_pith_number":"pith:R6DVD7N5","schema_version":"1.0","canonical_sha256":"8f8751fdbdd303e8edb6678869f50240313ecf7113fc7aa15ad71f6c2e1e7874","source":{"kind":"arxiv","id":"1701.07068","version":1},"attestation_state":"computed","paper":{"title":"Complete renormalization of QCD at five loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Andreas Maier, Peter Marquard, Thomas Luthe, York Schroder","submitted_at":"2017-01-24T20:07:01Z","abstract_excerpt":"We present new analytical five-loop Feynman-gauge results for the anomalous dimensions of ghost field and -vertex, generalizing the known values for SU(3) to a general gauge group. Together with previously published results on the quark mass and -field anomalous dimensions and the Beta function, this completes the 5-loop renormalization program of gauge theories in that gauge."},"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":"1701.07068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-01-24T20:07:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b25569ab5ea24ece5c3021de525f93f22850ec3b421789554e20ce8bff1dccd0","abstract_canon_sha256":"11d97d1277fb916fcdc4cb727f3b6f109c8571e4984b227f4a3e00ec7a8f93f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:04.138819Z","signature_b64":"591JTZtRL1WlfWG9a/kcI7ixbHe3/ThrEPo9V1Xcu7/rN1Sm9dnLF+3Cra/0qg0MKrm2tY/IDmvJY0NuqwoxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f8751fdbdd303e8edb6678869f50240313ecf7113fc7aa15ad71f6c2e1e7874","last_reissued_at":"2026-05-18T00:47:04.138226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:04.138226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complete renormalization of QCD at five loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Andreas Maier, Peter Marquard, Thomas Luthe, York Schroder","submitted_at":"2017-01-24T20:07:01Z","abstract_excerpt":"We present new analytical five-loop Feynman-gauge results for the anomalous dimensions of ghost field and -vertex, generalizing the known values for SU(3) to a general gauge group. Together with previously published results on the quark mass and -field anomalous dimensions and the Beta function, this completes the 5-loop renormalization program of gauge theories in that gauge."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07068","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1701.07068","created_at":"2026-05-18T00:47:04.138335+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.07068v1","created_at":"2026-05-18T00:47:04.138335+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07068","created_at":"2026-05-18T00:47:04.138335+00:00"},{"alias_kind":"pith_short_12","alias_value":"R6DVD7N52MB6","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"R6DVD7N52MB6R3NW","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"R6DVD7N5","created_at":"2026-05-18T12:31:39.905425+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2511.02005","citing_title":"Renormalisation","ref_index":65,"is_internal_anchor":true},{"citing_arxiv_id":"2601.07596","citing_title":"Asymptotic Pad\\'e Predictions up to Six Loops in QCD and Eight Loops in $\\lambda\\phi^4$","ref_index":25,"is_internal_anchor":true},{"citing_arxiv_id":"2605.10635","citing_title":"Heavy-Quark Condensate and Vacuum Energy Anomalous Dimension at Five Loops","ref_index":22,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R6DVD7N52MB6R3NWM6EGT5ICIA","json":"https://pith.science/pith/R6DVD7N52MB6R3NWM6EGT5ICIA.json","graph_json":"https://pith.science/api/pith-number/R6DVD7N52MB6R3NWM6EGT5ICIA/graph.json","events_json":"https://pith.science/api/pith-number/R6DVD7N52MB6R3NWM6EGT5ICIA/events.json","paper":"https://pith.science/paper/R6DVD7N5"},"agent_actions":{"view_html":"https://pith.science/pith/R6DVD7N52MB6R3NWM6EGT5ICIA","download_json":"https://pith.science/pith/R6DVD7N52MB6R3NWM6EGT5ICIA.json","view_paper":"https://pith.science/paper/R6DVD7N5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.07068&json=true","fetch_graph":"https://pith.science/api/pith-number/R6DVD7N52MB6R3NWM6EGT5ICIA/graph.json","fetch_events":"https://pith.science/api/pith-number/R6DVD7N52MB6R3NWM6EGT5ICIA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R6DVD7N52MB6R3NWM6EGT5ICIA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R6DVD7N52MB6R3NWM6EGT5ICIA/action/storage_attestation","attest_author":"https://pith.science/pith/R6DVD7N52MB6R3NWM6EGT5ICIA/action/author_attestation","sign_citation":"https://pith.science/pith/R6DVD7N52MB6R3NWM6EGT5ICIA/action/citation_signature","submit_replication":"https://pith.science/pith/R6DVD7N52MB6R3NWM6EGT5ICIA/action/replication_record"}},"created_at":"2026-05-18T00:47:04.138335+00:00","updated_at":"2026-05-18T00:47:04.138335+00:00"}