{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:V3OIJJPF5LS6HUDTLKCAXI2Q3B","short_pith_number":"pith:V3OIJJPF","schema_version":"1.0","canonical_sha256":"aedc84a5e5eae5e3d0735a840ba350d86cae364cdad2b6e678c4d2edaa779a2c","source":{"kind":"arxiv","id":"2206.12948","version":1},"attestation_state":"computed","paper":{"title":"Adler function, Bjorken Sum Rule and Crewther-Broadhurst-Kataev relation with generic fermion representations at order $O(\\alpha^4_s)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"G. Chetyrkin, K.","submitted_at":"2022-06-26T19:45:58Z","abstract_excerpt":"We compute the nonsinglet Adler $D$-function and the coefficient function for Bjorken polarized sum rules $S^{Bjp}$ at order $O(\\alpha_s^4)$ in an extended QCD model with arbitrary number of fermion representations. The Crewther-Broadhurst-Kataev (CBK) relation in this order is confirmed."},"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":"2206.12948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-26T19:45:58Z","cross_cats_sorted":[],"title_canon_sha256":"e1c411a8b7894b6f5afbb2d3a81e20c6b81b09908919daeb5fa3573d5ebcfa93","abstract_canon_sha256":"4e4d05e93be1c27d55dd2651deb5e91e99aca27410c114bd8e4709ac3df21d9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:35:00.910816Z","signature_b64":"RzHdAdzpnb3Ep+Gcl/eIXJf8/q3GqBDwbc39scqP4R1MGPT+YmfLYjzclKCgr0u5PdPLhnMR5fcxqZrwL0VEDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aedc84a5e5eae5e3d0735a840ba350d86cae364cdad2b6e678c4d2edaa779a2c","last_reissued_at":"2026-07-05T04:35:00.910325Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:35:00.910325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adler function, Bjorken Sum Rule and Crewther-Broadhurst-Kataev relation with generic fermion representations at order $O(\\alpha^4_s)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"G. Chetyrkin, K.","submitted_at":"2022-06-26T19:45:58Z","abstract_excerpt":"We compute the nonsinglet Adler $D$-function and the coefficient function for Bjorken polarized sum rules $S^{Bjp}$ at order $O(\\alpha_s^4)$ in an extended QCD model with arbitrary number of fermion representations. The Crewther-Broadhurst-Kataev (CBK) relation in this order is confirmed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.12948","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.12948/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":"2206.12948","created_at":"2026-07-05T04:35:00.910384+00:00"},{"alias_kind":"arxiv_version","alias_value":"2206.12948v1","created_at":"2026-07-05T04:35:00.910384+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.12948","created_at":"2026-07-05T04:35:00.910384+00:00"},{"alias_kind":"pith_short_12","alias_value":"V3OIJJPF5LS6","created_at":"2026-07-05T04:35:00.910384+00:00"},{"alias_kind":"pith_short_16","alias_value":"V3OIJJPF5LS6HUDT","created_at":"2026-07-05T04:35:00.910384+00:00"},{"alias_kind":"pith_short_8","alias_value":"V3OIJJPF","created_at":"2026-07-05T04:35:00.910384+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.31592","citing_title":"Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results","ref_index":23,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/V3OIJJPF5LS6HUDTLKCAXI2Q3B","json":"https://pith.science/pith/V3OIJJPF5LS6HUDTLKCAXI2Q3B.json","graph_json":"https://pith.science/api/pith-number/V3OIJJPF5LS6HUDTLKCAXI2Q3B/graph.json","events_json":"https://pith.science/api/pith-number/V3OIJJPF5LS6HUDTLKCAXI2Q3B/events.json","paper":"https://pith.science/paper/V3OIJJPF"},"agent_actions":{"view_html":"https://pith.science/pith/V3OIJJPF5LS6HUDTLKCAXI2Q3B","download_json":"https://pith.science/pith/V3OIJJPF5LS6HUDTLKCAXI2Q3B.json","view_paper":"https://pith.science/paper/V3OIJJPF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2206.12948&json=true","fetch_graph":"https://pith.science/api/pith-number/V3OIJJPF5LS6HUDTLKCAXI2Q3B/graph.json","fetch_events":"https://pith.science/api/pith-number/V3OIJJPF5LS6HUDTLKCAXI2Q3B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V3OIJJPF5LS6HUDTLKCAXI2Q3B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V3OIJJPF5LS6HUDTLKCAXI2Q3B/action/storage_attestation","attest_author":"https://pith.science/pith/V3OIJJPF5LS6HUDTLKCAXI2Q3B/action/author_attestation","sign_citation":"https://pith.science/pith/V3OIJJPF5LS6HUDTLKCAXI2Q3B/action/citation_signature","submit_replication":"https://pith.science/pith/V3OIJJPF5LS6HUDTLKCAXI2Q3B/action/replication_record"}},"created_at":"2026-07-05T04:35:00.910384+00:00","updated_at":"2026-07-05T04:35:00.910384+00:00"}