{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LG5QEMBPWT6PMRXC6URBWDORVB","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":"f5a6c68481b376b44accfd7bf3b8cc8ef38d1f0a1e6a2b2e3601df87fb142ad4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-24T09:48:20Z","title_canon_sha256":"e3a84f9d3e0cad9183b4c7d27201ed8b23d1b33e044595e69572fce94430938c"},"schema_version":"1.0","source":{"id":"1006.4731","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4731","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4731v1","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4731","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"pith_short_12","alias_value":"LG5QEMBPWT6P","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LG5QEMBPWT6PMRXC","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LG5QEMBP","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:cb73568b773d7727e4e91248c1d1eb50c4d577c685aaf9cd1c8d47f6aefb3e23","target":"graph","created_at":"2026-05-18T04:35:36Z","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"},"paper":{"abstract_excerpt":"We review some of the features of the evolutions equations for transverse momentum dependent parton distributions recently proposed by us. We briefly describe the new ingredients entering the equations and their relationship with ordinary evolution equations. We comment on possible choices for the initial conditions and then show results for the evolved distributions obtained by numerical implementation of the equations. By computing the average transverse momentum at different scale we highlight some general properties of the solutions.","authors_text":"Federico Alberto Ceccopieri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-24T09:48:20Z","title":"Scale evolution of kt-distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4731","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":"sha256:4cda3d261795bb265811493b8f992c563afd756c19efc33f98f1a8f149084fd7","target":"record","created_at":"2026-05-18T04:35:36Z","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":"f5a6c68481b376b44accfd7bf3b8cc8ef38d1f0a1e6a2b2e3601df87fb142ad4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-24T09:48:20Z","title_canon_sha256":"e3a84f9d3e0cad9183b4c7d27201ed8b23d1b33e044595e69572fce94430938c"},"schema_version":"1.0","source":{"id":"1006.4731","kind":"arxiv","version":1}},"canonical_sha256":"59bb02302fb4fcf646e2f5221b0dd1a853f25630d1a08f0ac0eb664c349cc195","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59bb02302fb4fcf646e2f5221b0dd1a853f25630d1a08f0ac0eb664c349cc195","first_computed_at":"2026-05-18T04:35:36.956483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:36.956483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HzFgExK/mEmZhqFbIc0jLqkz5OLxF6xaSuLsMNpJQ7G5dh3wHt3FcgNhiZrVgeHCXcRpxzJU4GWVYLF4MpQmCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:36.957160Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4731","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cda3d261795bb265811493b8f992c563afd756c19efc33f98f1a8f149084fd7","sha256:cb73568b773d7727e4e91248c1d1eb50c4d577c685aaf9cd1c8d47f6aefb3e23"],"state_sha256":"8c7977a1d35f7b19219bd95bb318aae84b7384656fdd5d24ded28335cb97835d"}