{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:LAT6N76MVYPA2D3VYQ6Y5MSTEY","short_pith_number":"pith:LAT6N76M","schema_version":"1.0","canonical_sha256":"5827e6ffccae1e0d0f75c43d8eb253261068b224d1a7b41945b40afc1a67899f","source":{"kind":"arxiv","id":"1604.00509","version":3},"attestation_state":"computed","paper":{"title":"Adler function and Bjorken polarized sum rule: Perturbation expansions in powers of $SU(N_c)$ conformal anomaly and studies of the conformal symmetry limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-th"],"primary_cat":"hep-ph","authors_text":"A.L. Kataev, Gorazd Cveti\\v{c}","submitted_at":"2016-04-02T14:39:14Z","abstract_excerpt":"We consider a new form of analytical perturbation theory expansion in the massless $SU(N_c)$ theory, for the non-singlet part of the $e^+e^-$-annihilation to hadrons Adler function $D^{ns}$ and of the Bjorken sum rule of the polarized lepton-hadron deep-inelastic scattering $C_{ns}^{Bjp}$, and demonstrate its validity at the $O(\\alpha_s^4)$-level at least. It is a two-fold series in terms of powers of the conformal anomaly and of $SU(N_c)$ coupling $\\alpha_s$. Explicit expressions are obtained for the $\\{\\beta\\}$-expanded perturbation coefficients at $O(\\alpha_s^4)$ level in $\\bar{\\rm MS}$ sch"},"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":"1604.00509","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-02T14:39:14Z","cross_cats_sorted":["hep-ex","hep-th"],"title_canon_sha256":"f165bd2311fdbca4bc83e313e1e78a70d9635a4b0014d3a661bcb60ec7080d92","abstract_canon_sha256":"a31e627e49504aa10252928f62450a3434603d1096a0b8e901418e0d52456a8e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:12.299492Z","signature_b64":"XJTFZujMIZ1BnrK9/cxr61m6A/eMOB+OVwMKGDA5FIYI+FnRC1KTn4Kf+RwwCWyl1VloNeWjBcBTQ/Dwb0GVAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5827e6ffccae1e0d0f75c43d8eb253261068b224d1a7b41945b40afc1a67899f","last_reissued_at":"2026-05-18T01:11:12.298963Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:12.298963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adler function and Bjorken polarized sum rule: Perturbation expansions in powers of $SU(N_c)$ conformal anomaly and studies of the conformal symmetry limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-th"],"primary_cat":"hep-ph","authors_text":"A.L. Kataev, Gorazd Cveti\\v{c}","submitted_at":"2016-04-02T14:39:14Z","abstract_excerpt":"We consider a new form of analytical perturbation theory expansion in the massless $SU(N_c)$ theory, for the non-singlet part of the $e^+e^-$-annihilation to hadrons Adler function $D^{ns}$ and of the Bjorken sum rule of the polarized lepton-hadron deep-inelastic scattering $C_{ns}^{Bjp}$, and demonstrate its validity at the $O(\\alpha_s^4)$-level at least. It is a two-fold series in terms of powers of the conformal anomaly and of $SU(N_c)$ coupling $\\alpha_s$. Explicit expressions are obtained for the $\\{\\beta\\}$-expanded perturbation coefficients at $O(\\alpha_s^4)$ level in $\\bar{\\rm MS}$ sch"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00509","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":""},"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":"1604.00509","created_at":"2026-05-18T01:11:12.299028+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.00509v3","created_at":"2026-05-18T01:11:12.299028+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00509","created_at":"2026-05-18T01:11:12.299028+00:00"},{"alias_kind":"pith_short_12","alias_value":"LAT6N76MVYPA","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"LAT6N76MVYPA2D3V","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"LAT6N76M","created_at":"2026-05-18T12:30:29.479603+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"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":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LAT6N76MVYPA2D3VYQ6Y5MSTEY","json":"https://pith.science/pith/LAT6N76MVYPA2D3VYQ6Y5MSTEY.json","graph_json":"https://pith.science/api/pith-number/LAT6N76MVYPA2D3VYQ6Y5MSTEY/graph.json","events_json":"https://pith.science/api/pith-number/LAT6N76MVYPA2D3VYQ6Y5MSTEY/events.json","paper":"https://pith.science/paper/LAT6N76M"},"agent_actions":{"view_html":"https://pith.science/pith/LAT6N76MVYPA2D3VYQ6Y5MSTEY","download_json":"https://pith.science/pith/LAT6N76MVYPA2D3VYQ6Y5MSTEY.json","view_paper":"https://pith.science/paper/LAT6N76M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.00509&json=true","fetch_graph":"https://pith.science/api/pith-number/LAT6N76MVYPA2D3VYQ6Y5MSTEY/graph.json","fetch_events":"https://pith.science/api/pith-number/LAT6N76MVYPA2D3VYQ6Y5MSTEY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LAT6N76MVYPA2D3VYQ6Y5MSTEY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LAT6N76MVYPA2D3VYQ6Y5MSTEY/action/storage_attestation","attest_author":"https://pith.science/pith/LAT6N76MVYPA2D3VYQ6Y5MSTEY/action/author_attestation","sign_citation":"https://pith.science/pith/LAT6N76MVYPA2D3VYQ6Y5MSTEY/action/citation_signature","submit_replication":"https://pith.science/pith/LAT6N76MVYPA2D3VYQ6Y5MSTEY/action/replication_record"}},"created_at":"2026-05-18T01:11:12.299028+00:00","updated_at":"2026-05-18T01:11:12.299028+00:00"}