{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1993:M3MM5TQ37O32OWW3UATFFB2W4G","short_pith_number":"pith:M3MM5TQ3","schema_version":"1.0","canonical_sha256":"66d8cece1bfbb7a75adba026528756e18538783099292747ba88ddeebc3d47e2","source":{"kind":"arxiv","id":"hep-ph/9311205","version":2},"attestation_state":"computed","paper":{"title":"Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum","license":"","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Larry McLerran, Raju Venugopalan","submitted_at":"1993-11-01T19:25:50Z","abstract_excerpt":"We show that the gluon distribution function for very large nuclei may be computed for small transverse momentum as correlation functions of an ultraviolet finite two dimensional Euclidean field theory. This computation is valid to all orders in the density of partons per unit area, but to lowest order in $\\alpha_s$. The gluon distribution function is proportional to $1/x$, and the effect of the finite density of partons is to modify the dependence on transverse momentum for small transverse momentum."},"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/9311205","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1993-11-01T19:25:50Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"a41c59ae7a688a80675601bcfe4d2a6362e95942ef37a78729a1d4f7fe4f6ced","abstract_canon_sha256":"05808a2065c0fb68e3e02bbde4e8aa270c90954d71a78826cd3a0c17c2cb3a95"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:55:52.540202Z","signature_b64":"PYuz6fWeqHDvuV0z+CtSt5n503wbVbIx1GmD/xSigUrC4wap/VqIjAumQbt3jETl1wLhMBV+pZ6fOde5e7LoDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66d8cece1bfbb7a75adba026528756e18538783099292747ba88ddeebc3d47e2","last_reissued_at":"2026-07-04T15:55:52.539810Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:55:52.539810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum","license":"","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Larry McLerran, Raju Venugopalan","submitted_at":"1993-11-01T19:25:50Z","abstract_excerpt":"We show that the gluon distribution function for very large nuclei may be computed for small transverse momentum as correlation functions of an ultraviolet finite two dimensional Euclidean field theory. This computation is valid to all orders in the density of partons per unit area, but to lowest order in $\\alpha_s$. The gluon distribution function is proportional to $1/x$, and the effect of the finite density of partons is to modify the dependence on transverse momentum for small transverse momentum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9311205","kind":"arxiv","version":2},"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/hep-ph/9311205/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":"hep-ph/9311205","created_at":"2026-07-04T15:55:52.539871+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9311205v2","created_at":"2026-07-04T15:55:52.539871+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9311205","created_at":"2026-07-04T15:55:52.539871+00:00"},{"alias_kind":"pith_short_12","alias_value":"M3MM5TQ37O32","created_at":"2026-07-04T15:55:52.539871+00:00"},{"alias_kind":"pith_short_16","alias_value":"M3MM5TQ37O32OWW3","created_at":"2026-07-04T15:55:52.539871+00:00"},{"alias_kind":"pith_short_8","alias_value":"M3MM5TQ3","created_at":"2026-07-04T15:55:52.539871+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":20,"internal_anchor_count":12,"sample":[{"citing_arxiv_id":"2606.22871","citing_title":"Twisting Small-$x$ Gluon Tomography with Orbital Angular Momentum","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2606.20362","citing_title":"Revisiting the role of saturation in diffractive vector meson production","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2607.00629","citing_title":"Gluon radiation from a QCD antenna with realistic parton-medium interactions","ref_index":42,"is_internal_anchor":true},{"citing_arxiv_id":"2606.04169","citing_title":"TMD factorization in diffractive heavy-quark production in photon-nucleus collisions","ref_index":69,"is_internal_anchor":true},{"citing_arxiv_id":"2606.02230","citing_title":"Azimuthal decorrelation in diffractive dijet production","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2606.31754","citing_title":"Emergent Local Phase-Space Scaling in Small-x Gluon Evolution","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2606.31712","citing_title":"Collinearly Improved Balitsky-Kovchegov Evolution of the Gluon Wigner Distribution","ref_index":7,"is_internal_anchor":true},{"citing_arxiv_id":"2510.26260","citing_title":"Letter of Intent: The Forward Physics Facility","ref_index":95,"is_internal_anchor":true},{"citing_arxiv_id":"2605.15494","citing_title":"Forward hadron production in pp collisions at LHC energies from an event generator based on the color glass condensate framework","ref_index":10,"is_internal_anchor":true},{"citing_arxiv_id":"2506.17454","citing_title":"Nuclear Cold QCD: Review and Future Strategy","ref_index":163,"is_internal_anchor":true},{"citing_arxiv_id":"2512.10086","citing_title":"Unpolarized GPDs at small $x$ and non-zero skewness","ref_index":81,"is_internal_anchor":true},{"citing_arxiv_id":"2603.23428","citing_title":"Sub-eikonal Structure of High-Energy Deep-Inelastic Scattering","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2605.10413","citing_title":"Light-front Hamiltonian jet evolution in the Glasma","ref_index":82,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26123","citing_title":"When JIMWLK evolution really matters: the example of incoherent diffraction","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24629","citing_title":"On the Two $R$-Factors in the Small-$x$ Shockwave Formalism","ref_index":102,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03038","citing_title":"Squeezed-state radiation in shockwave scattering: QCD-Gravity double copy","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2605.01527","citing_title":"Probing Saturation Effect in Heavy Meson Pair Correlation in Forward $pA$ Collisions","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2604.11616","citing_title":"Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence","ref_index":7,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08520","citing_title":"Kinetic and canonical momentum broadening in the Glasma","ref_index":81,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07509","citing_title":"Forward trijet production in proton-nucleus collisions: gluon initiated channel","ref_index":3,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M3MM5TQ37O32OWW3UATFFB2W4G","json":"https://pith.science/pith/M3MM5TQ37O32OWW3UATFFB2W4G.json","graph_json":"https://pith.science/api/pith-number/M3MM5TQ37O32OWW3UATFFB2W4G/graph.json","events_json":"https://pith.science/api/pith-number/M3MM5TQ37O32OWW3UATFFB2W4G/events.json","paper":"https://pith.science/paper/M3MM5TQ3"},"agent_actions":{"view_html":"https://pith.science/pith/M3MM5TQ37O32OWW3UATFFB2W4G","download_json":"https://pith.science/pith/M3MM5TQ37O32OWW3UATFFB2W4G.json","view_paper":"https://pith.science/paper/M3MM5TQ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9311205&json=true","fetch_graph":"https://pith.science/api/pith-number/M3MM5TQ37O32OWW3UATFFB2W4G/graph.json","fetch_events":"https://pith.science/api/pith-number/M3MM5TQ37O32OWW3UATFFB2W4G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M3MM5TQ37O32OWW3UATFFB2W4G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M3MM5TQ37O32OWW3UATFFB2W4G/action/storage_attestation","attest_author":"https://pith.science/pith/M3MM5TQ37O32OWW3UATFFB2W4G/action/author_attestation","sign_citation":"https://pith.science/pith/M3MM5TQ37O32OWW3UATFFB2W4G/action/citation_signature","submit_replication":"https://pith.science/pith/M3MM5TQ37O32OWW3UATFFB2W4G/action/replication_record"}},"created_at":"2026-07-04T15:55:52.539871+00:00","updated_at":"2026-07-04T15:55:52.539871+00:00"}