{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:NP6Q3KCZYH5MD4UELR7XYRNZCD","short_pith_number":"pith:NP6Q3KCZ","schema_version":"1.0","canonical_sha256":"6bfd0da859c1fac1f2845c7f7c45b910d8bcc5b3ffc3521f608464bcc6e29273","source":{"kind":"arxiv","id":"2306.01651","version":1},"attestation_state":"computed","paper":{"title":"Helicity Evolution at Small $x$: Revised Asymptotic Results at Large $N_c\\& N_f$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Daniel Adamiak, Yossathorn Tawabutr, Yuri V. Kovchegov","submitted_at":"2023-06-02T16:20:42Z","abstract_excerpt":"We present a numerical solution of the revised version of the small-$x$ helicity evolution equations at large $N_c$ and $N_f$. (Here $N_c$ and $N_f$ are the numbers of quark colors and flavors, respectively.) The evolution equations are double-logarithmic in the Bjorken $x$ variable, resumming powers of $\\alpha_s \\, \\ln^2 (1/x)$ with $\\alpha_s$ the strong coupling constant. The large-$N_c \\& N_f$ evolution we consider includes contributions of small-$x$ quark emissions and is thus more realistic than the large-$N_c$ one, which only involves gluon emissons. The evolution equations are written f"},"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":"2306.01651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-06-02T16:20:42Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"ba65a3645d5fa81cd832a95b3a451d7388fe0828bc9265d8cf1446d38d2a5208","abstract_canon_sha256":"97f2e98911056ff4979db63cff1f4d609ed6792b4a83ca46ef085e02e79a14db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:50:00.409522Z","signature_b64":"467R+qaqLj+SmIVYezBCAMSH2BcovMPuZKds/wypcR3RHUB+AjLOROvti2xYHe2PzpxWcUkrEckM8wXPly77DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bfd0da859c1fac1f2845c7f7c45b910d8bcc5b3ffc3521f608464bcc6e29273","last_reissued_at":"2026-07-05T06:50:00.409008Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:50:00.409008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Helicity Evolution at Small $x$: Revised Asymptotic Results at Large $N_c\\& N_f$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Daniel Adamiak, Yossathorn Tawabutr, Yuri V. Kovchegov","submitted_at":"2023-06-02T16:20:42Z","abstract_excerpt":"We present a numerical solution of the revised version of the small-$x$ helicity evolution equations at large $N_c$ and $N_f$. (Here $N_c$ and $N_f$ are the numbers of quark colors and flavors, respectively.) The evolution equations are double-logarithmic in the Bjorken $x$ variable, resumming powers of $\\alpha_s \\, \\ln^2 (1/x)$ with $\\alpha_s$ the strong coupling constant. The large-$N_c \\& N_f$ evolution we consider includes contributions of small-$x$ quark emissions and is thus more realistic than the large-$N_c$ one, which only involves gluon emissons. The evolution equations are written f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.01651","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/2306.01651/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":"2306.01651","created_at":"2026-07-05T06:50:00.409074+00:00"},{"alias_kind":"arxiv_version","alias_value":"2306.01651v1","created_at":"2026-07-05T06:50:00.409074+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.01651","created_at":"2026-07-05T06:50:00.409074+00:00"},{"alias_kind":"pith_short_12","alias_value":"NP6Q3KCZYH5M","created_at":"2026-07-05T06:50:00.409074+00:00"},{"alias_kind":"pith_short_16","alias_value":"NP6Q3KCZYH5MD4UE","created_at":"2026-07-05T06:50:00.409074+00:00"},{"alias_kind":"pith_short_8","alias_value":"NP6Q3KCZ","created_at":"2026-07-05T06:50:00.409074+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.00439","citing_title":"Sub-eikonal stress and model dependence of the small-$x$ gluon D-term","ref_index":93,"is_internal_anchor":false},{"citing_arxiv_id":"2506.17454","citing_title":"Nuclear Cold QCD: Review and Future Strategy","ref_index":273,"is_internal_anchor":false},{"citing_arxiv_id":"2603.23428","citing_title":"Sub-eikonal Structure of High-Energy Deep-Inelastic Scattering","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24629","citing_title":"On the Two $R$-Factors in the Small-$x$ Shockwave Formalism","ref_index":168,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NP6Q3KCZYH5MD4UELR7XYRNZCD","json":"https://pith.science/pith/NP6Q3KCZYH5MD4UELR7XYRNZCD.json","graph_json":"https://pith.science/api/pith-number/NP6Q3KCZYH5MD4UELR7XYRNZCD/graph.json","events_json":"https://pith.science/api/pith-number/NP6Q3KCZYH5MD4UELR7XYRNZCD/events.json","paper":"https://pith.science/paper/NP6Q3KCZ"},"agent_actions":{"view_html":"https://pith.science/pith/NP6Q3KCZYH5MD4UELR7XYRNZCD","download_json":"https://pith.science/pith/NP6Q3KCZYH5MD4UELR7XYRNZCD.json","view_paper":"https://pith.science/paper/NP6Q3KCZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2306.01651&json=true","fetch_graph":"https://pith.science/api/pith-number/NP6Q3KCZYH5MD4UELR7XYRNZCD/graph.json","fetch_events":"https://pith.science/api/pith-number/NP6Q3KCZYH5MD4UELR7XYRNZCD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NP6Q3KCZYH5MD4UELR7XYRNZCD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NP6Q3KCZYH5MD4UELR7XYRNZCD/action/storage_attestation","attest_author":"https://pith.science/pith/NP6Q3KCZYH5MD4UELR7XYRNZCD/action/author_attestation","sign_citation":"https://pith.science/pith/NP6Q3KCZYH5MD4UELR7XYRNZCD/action/citation_signature","submit_replication":"https://pith.science/pith/NP6Q3KCZYH5MD4UELR7XYRNZCD/action/replication_record"}},"created_at":"2026-07-05T06:50:00.409074+00:00","updated_at":"2026-07-05T06:50:00.409074+00:00"}