{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:J2WVL7LUIE4INKEQXUGULPZ2U2","short_pith_number":"pith:J2WVL7LU","schema_version":"1.0","canonical_sha256":"4ead55fd74413886a890bd0d45bf3aa6adea7be2acd87b7f6bd32efec6db7d48","source":{"kind":"arxiv","id":"hep-ph/0203137","version":1},"attestation_state":"computed","paper":{"title":"Geometric Scaling above the Saturation Scale","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"E. Iancu, K. Itakura, L. McLerran","submitted_at":"2002-03-14T16:48:09Z","abstract_excerpt":"We show that the evolution equations in QCD predict geometric scaling for quark and gluon distribution functions in a large kinematical window, which extends above the saturation scale up to momenta $Q^2$ of order $100 {\\rm GeV}^2$. For $Q^2 < Q^2_s$, with $Q_s$ the saturation momentum, this is the scaling predicted by the Colour Glass Condensate and by phenomenological saturation models. For $1 \\simle \\ln(Q^2/Q_s^2) \\ll \\ln(Q_s^2/\\Lambda^2_{\\rm QCD})$, we show that the solution to the BFKL equation shows approximate scaling, with the scale set by $Q_s$. At larger $Q^2$, this solution does not"},"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":"hep-ph/0203137","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-03-14T16:48:09Z","cross_cats_sorted":[],"title_canon_sha256":"ee6cc895c930a68923d17770ed89129d26144a38eddbae54007b90573e4123b9","abstract_canon_sha256":"b7298a256fc9f088e03dd6d9eb74f07f71a0b267845fbdc2a74a284903ce74d7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:38.336923Z","signature_b64":"EjwzehipYdbJFKq9ciXd3O9dmMQUDzpwQv4ITqOPv4iDsh6GLkbVGBjT8vCGT2lpLtYG1Eww0pXPwGsCvomoBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ead55fd74413886a890bd0d45bf3aa6adea7be2acd87b7f6bd32efec6db7d48","last_reissued_at":"2026-05-18T02:36:38.336263Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:38.336263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric Scaling above the Saturation Scale","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"E. Iancu, K. Itakura, L. McLerran","submitted_at":"2002-03-14T16:48:09Z","abstract_excerpt":"We show that the evolution equations in QCD predict geometric scaling for quark and gluon distribution functions in a large kinematical window, which extends above the saturation scale up to momenta $Q^2$ of order $100 {\\rm GeV}^2$. For $Q^2 < Q^2_s$, with $Q_s$ the saturation momentum, this is the scaling predicted by the Colour Glass Condensate and by phenomenological saturation models. For $1 \\simle \\ln(Q^2/Q_s^2) \\ll \\ln(Q_s^2/\\Lambda^2_{\\rm QCD})$, we show that the solution to the BFKL equation shows approximate scaling, with the scale set by $Q_s$. At larger $Q^2$, this solution does not"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0203137","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":""},"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":"hep-ph/0203137","created_at":"2026-05-18T02:36:38.336359+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0203137v1","created_at":"2026-05-18T02:36:38.336359+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0203137","created_at":"2026-05-18T02:36:38.336359+00:00"},{"alias_kind":"pith_short_12","alias_value":"J2WVL7LUIE4I","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"J2WVL7LUIE4INKEQ","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"J2WVL7LU","created_at":"2026-05-18T12:25:50.845339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.31754","citing_title":"Emergent Local Phase-Space Scaling in Small-x Gluon Evolution","ref_index":25,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J2WVL7LUIE4INKEQXUGULPZ2U2","json":"https://pith.science/pith/J2WVL7LUIE4INKEQXUGULPZ2U2.json","graph_json":"https://pith.science/api/pith-number/J2WVL7LUIE4INKEQXUGULPZ2U2/graph.json","events_json":"https://pith.science/api/pith-number/J2WVL7LUIE4INKEQXUGULPZ2U2/events.json","paper":"https://pith.science/paper/J2WVL7LU"},"agent_actions":{"view_html":"https://pith.science/pith/J2WVL7LUIE4INKEQXUGULPZ2U2","download_json":"https://pith.science/pith/J2WVL7LUIE4INKEQXUGULPZ2U2.json","view_paper":"https://pith.science/paper/J2WVL7LU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0203137&json=true","fetch_graph":"https://pith.science/api/pith-number/J2WVL7LUIE4INKEQXUGULPZ2U2/graph.json","fetch_events":"https://pith.science/api/pith-number/J2WVL7LUIE4INKEQXUGULPZ2U2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J2WVL7LUIE4INKEQXUGULPZ2U2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J2WVL7LUIE4INKEQXUGULPZ2U2/action/storage_attestation","attest_author":"https://pith.science/pith/J2WVL7LUIE4INKEQXUGULPZ2U2/action/author_attestation","sign_citation":"https://pith.science/pith/J2WVL7LUIE4INKEQXUGULPZ2U2/action/citation_signature","submit_replication":"https://pith.science/pith/J2WVL7LUIE4INKEQXUGULPZ2U2/action/replication_record"}},"created_at":"2026-05-18T02:36:38.336359+00:00","updated_at":"2026-05-18T02:36:38.336359+00:00"}