{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NP6Q3KCZYH5MD4UELR7XYRNZCD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"97f2e98911056ff4979db63cff1f4d609ed6792b4a83ca46ef085e02e79a14db","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-06-02T16:20:42Z","title_canon_sha256":"ba65a3645d5fa81cd832a95b3a451d7388fe0828bc9265d8cf1446d38d2a5208"},"schema_version":"1.0","source":{"id":"2306.01651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.01651","created_at":"2026-07-05T06:50:00Z"},{"alias_kind":"arxiv_version","alias_value":"2306.01651v1","created_at":"2026-07-05T06:50:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.01651","created_at":"2026-07-05T06:50:00Z"},{"alias_kind":"pith_short_12","alias_value":"NP6Q3KCZYH5M","created_at":"2026-07-05T06:50:00Z"},{"alias_kind":"pith_short_16","alias_value":"NP6Q3KCZYH5MD4UE","created_at":"2026-07-05T06:50:00Z"},{"alias_kind":"pith_short_8","alias_value":"NP6Q3KCZ","created_at":"2026-07-05T06:50:00Z"}],"graph_snapshots":[{"event_id":"sha256:1f2a98a8598cd5406b4e7332ff75cf99c4e8876a17b66f75d50956b38a5656e2","target":"graph","created_at":"2026-07-05T06:50:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2306.01651/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Daniel Adamiak, Yossathorn Tawabutr, Yuri V. Kovchegov","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-06-02T16:20:42Z","title":"Helicity Evolution at Small $x$: Revised Asymptotic Results at Large $N_c\\& N_f$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.01651","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:60ba5b03b340202fdeb89df97cf1412d7a45033316288dc044cf56946fe0589a","target":"record","created_at":"2026-07-05T06:50:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"97f2e98911056ff4979db63cff1f4d609ed6792b4a83ca46ef085e02e79a14db","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-06-02T16:20:42Z","title_canon_sha256":"ba65a3645d5fa81cd832a95b3a451d7388fe0828bc9265d8cf1446d38d2a5208"},"schema_version":"1.0","source":{"id":"2306.01651","kind":"arxiv","version":1}},"canonical_sha256":"6bfd0da859c1fac1f2845c7f7c45b910d8bcc5b3ffc3521f608464bcc6e29273","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bfd0da859c1fac1f2845c7f7c45b910d8bcc5b3ffc3521f608464bcc6e29273","first_computed_at":"2026-07-05T06:50:00.409008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:50:00.409008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"467R+qaqLj+SmIVYezBCAMSH2BcovMPuZKds/wypcR3RHUB+AjLOROvti2xYHe2PzpxWcUkrEckM8wXPly77DA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:50:00.409522Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.01651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60ba5b03b340202fdeb89df97cf1412d7a45033316288dc044cf56946fe0589a","sha256:1f2a98a8598cd5406b4e7332ff75cf99c4e8876a17b66f75d50956b38a5656e2"],"state_sha256":"5d1203ff7552381adda7e73fef4494c9831a083e600de7a3a6c98bd95524af3d"}