{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DLVRM6IXIK46VVKOJH2R7S7JEU","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":"d149c0622f53c450d4d40071679d1130a4e7e58c0f035cf742a26c15de76fad0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-12-30T17:44:22Z","title_canon_sha256":"67e93984421cd89497830ef204368b8941d320d25742d3060e4fbc541e16ae2e"},"schema_version":"1.0","source":{"id":"2412.21116","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.21116","created_at":"2026-07-05T12:09:43Z"},{"alias_kind":"arxiv_version","alias_value":"2412.21116v2","created_at":"2026-07-05T12:09:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.21116","created_at":"2026-07-05T12:09:43Z"},{"alias_kind":"pith_short_12","alias_value":"DLVRM6IXIK46","created_at":"2026-07-05T12:09:43Z"},{"alias_kind":"pith_short_16","alias_value":"DLVRM6IXIK46VVKO","created_at":"2026-07-05T12:09:43Z"},{"alias_kind":"pith_short_8","alias_value":"DLVRM6IX","created_at":"2026-07-05T12:09:43Z"}],"graph_snapshots":[{"event_id":"sha256:7c1230b2062b50cdf0b5aec0586eb39681a432ccd2b30aa3b28008c0dffacbaa","target":"graph","created_at":"2026-07-05T12:09:43Z","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/2412.21116/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The evolution of transverse momentum dependent (TMD) distributions in Quantum Chromodynamics (QCD) can be formulated in a parton branching (PB) framework. We show that next-to-next-to-leading-logarithm (NNLL) accuracy can be achieved in this framework by using the concept of soft-gluon physical coupling. We present results for the TMD distributions and for the Collins-Soper kernel controlling rapidity evolution. The results pave the way for PB predictions at NNLL level for physical observables at the Large Hadron Collider (LHC) and future colliders.","authors_text":"A. Bermudez Martinez, A. Lelek, A.M. van Kampen, F. Hautmann, L. Keersmaekers, M. Mendizabal Morentin, S. Taheri Monfared","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-12-30T17:44:22Z","title":"Soft-gluon coupling and the TMD parton branching Sudakov form factor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.21116","kind":"arxiv","version":2},"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:a703c5a2ba3a6b3992d1a05da71ef1a078595cb2a81147afc3769703436615cf","target":"record","created_at":"2026-07-05T12:09:43Z","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":"d149c0622f53c450d4d40071679d1130a4e7e58c0f035cf742a26c15de76fad0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-12-30T17:44:22Z","title_canon_sha256":"67e93984421cd89497830ef204368b8941d320d25742d3060e4fbc541e16ae2e"},"schema_version":"1.0","source":{"id":"2412.21116","kind":"arxiv","version":2}},"canonical_sha256":"1aeb16791742b9ead54e49f51fcbe9253c9b81768308ef9d750b02cad35ac3ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aeb16791742b9ead54e49f51fcbe9253c9b81768308ef9d750b02cad35ac3ce","first_computed_at":"2026-07-05T12:09:43.238696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:09:43.238696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kG590q0HNBS0q4/rSQGeU1RuOA9BVTQx/hmbgqWOpLSAes4IoOKsb2An76W0mgGe3dZFxoctur0Btk9R8PEnBA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:09:43.239234Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.21116","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a703c5a2ba3a6b3992d1a05da71ef1a078595cb2a81147afc3769703436615cf","sha256:7c1230b2062b50cdf0b5aec0586eb39681a432ccd2b30aa3b28008c0dffacbaa"],"state_sha256":"7126f28689af00dbc0db25529cfacb8fb5a237d5fd506603aaf9405f8a240eac"}