{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FL6OT3TGNGC47JZ3TSCZGWGLKD","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":"7659b08f4b96630756a26a6c7c093a4bdfefc7220a50b395bfb2331130a8730e","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-06-03T15:08:27Z","title_canon_sha256":"89655085539ba2b3d3d0710b5caa4a5f06cb6c882bf4d8509e3fcdba26001e26"},"schema_version":"1.0","source":{"id":"2106.01916","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.01916","created_at":"2026-07-05T02:58:42Z"},{"alias_kind":"arxiv_version","alias_value":"2106.01916v2","created_at":"2026-07-05T02:58:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.01916","created_at":"2026-07-05T02:58:42Z"},{"alias_kind":"pith_short_12","alias_value":"FL6OT3TGNGC4","created_at":"2026-07-05T02:58:42Z"},{"alias_kind":"pith_short_16","alias_value":"FL6OT3TGNGC47JZ3","created_at":"2026-07-05T02:58:42Z"},{"alias_kind":"pith_short_8","alias_value":"FL6OT3TG","created_at":"2026-07-05T02:58:42Z"}],"graph_snapshots":[{"event_id":"sha256:4be722b19b28314a677d609716fbed01d67829c9edc29cd31c1ba5c8d3423fbe","target":"graph","created_at":"2026-07-05T02:58:42Z","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/2106.01916/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the results that are necessary in the ongoing lattice calculations of the gluon parton distribution functions (PDFs) within the pseudo-PDF approach. We identify the two-gluon correlator functions that contain the invariant amplitude determining the gluon PDF in the light-cone $z^2 \\to 0$ limit, and perform one-loop calculations in the coordinate representation in an explicitly gauge-invariant form. Ultraviolet (UV) terms, which contain $\\ln (-z^2)$-dependence cancel in the reduced Ioffe-time distribution (ITD), and we obtain the matching relation between the reduced ITD and the ligh","authors_text":"A. Radyushkin, I. Balitsky, W. Morris","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-06-03T15:08:27Z","title":"Gluon pseudo-distributions at short distances"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.01916","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":"sha256:0d149c2ee7bde2c7a3b9e45ffa8bfdcbabef84287b609f7b22d78fbe286e3547","target":"record","created_at":"2026-07-05T02:58:42Z","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":"7659b08f4b96630756a26a6c7c093a4bdfefc7220a50b395bfb2331130a8730e","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-06-03T15:08:27Z","title_canon_sha256":"89655085539ba2b3d3d0710b5caa4a5f06cb6c882bf4d8509e3fcdba26001e26"},"schema_version":"1.0","source":{"id":"2106.01916","kind":"arxiv","version":2}},"canonical_sha256":"2afce9ee666985cfa73b9c859358cb50e4bd95dacd96ce90b64adf0d54291c32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2afce9ee666985cfa73b9c859358cb50e4bd95dacd96ce90b64adf0d54291c32","first_computed_at":"2026-07-05T02:58:42.859853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:58:42.859853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"amz4NtD5d0/XL1mmX8KqhD8JOpNexRW5ZU9ffaxatzTJbk4FDHZa0E3JXD3cWVq9O3mjrdlilgwXWdD4w9efAg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:58:42.860327Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.01916","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d149c2ee7bde2c7a3b9e45ffa8bfdcbabef84287b609f7b22d78fbe286e3547","sha256:4be722b19b28314a677d609716fbed01d67829c9edc29cd31c1ba5c8d3423fbe"],"state_sha256":"bbce64d1d328d1d609e97feaa0869528408b386a133b8454f26d1e458e40fb95"}