{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HXTLC5HWHDSX3RGUFG3NSZFWHA","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":"b7ca8be278cfd8e59c6b69ea38a96bef0a58b032a6c55afa60663e20518149f6","cross_cats_sorted":["hep-th","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-07-06T11:14:59Z","title_canon_sha256":"412dad143f7b22573ad71d071c62eb7c6b45cbec62ec224e797ad12f85c7fc9e"},"schema_version":"1.0","source":{"id":"2107.02542","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.02542","created_at":"2026-07-05T03:33:22Z"},{"alias_kind":"arxiv_version","alias_value":"2107.02542v1","created_at":"2026-07-05T03:33:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.02542","created_at":"2026-07-05T03:33:22Z"},{"alias_kind":"pith_short_12","alias_value":"HXTLC5HWHDSX","created_at":"2026-07-05T03:33:22Z"},{"alias_kind":"pith_short_16","alias_value":"HXTLC5HWHDSX3RGU","created_at":"2026-07-05T03:33:22Z"},{"alias_kind":"pith_short_8","alias_value":"HXTLC5HW","created_at":"2026-07-05T03:33:22Z"}],"graph_snapshots":[{"event_id":"sha256:74a83720bacca6760ea1483e5c3112d35bb8c308fadbf63053f25888cd9ed5e7","target":"graph","created_at":"2026-07-05T03:33:22Z","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/2107.02542/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study hard $1\\to 2$ final-state parton splittings in the medium, and put special emphasis on calculating the Wilson line correlators that appear in these calculations. As partons go through the medium their color continuously rotates, an effect that is encapsulated in a Wilson line along their trajectory. When calculating observables, one typically has to calculate traces of two or more medium-averaged Wilson lines. These are usually dealt with in the literature by invoking the large-$N_c$ limit, but exact calculations have been lacking in many cases. In our work, we show how correlators of","authors_text":"Johannes Hamre Isaksen, Konrad Tywoniuk","cross_cats":["hep-th","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-07-06T11:14:59Z","title":"Wilson line correlators beyond the large-$N_c$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.02542","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:a9644244f78dd347eaedcf35d9fc0afe7ef2dff39a9d28d40e6e263ee12b0c99","target":"record","created_at":"2026-07-05T03:33:22Z","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":"b7ca8be278cfd8e59c6b69ea38a96bef0a58b032a6c55afa60663e20518149f6","cross_cats_sorted":["hep-th","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-07-06T11:14:59Z","title_canon_sha256":"412dad143f7b22573ad71d071c62eb7c6b45cbec62ec224e797ad12f85c7fc9e"},"schema_version":"1.0","source":{"id":"2107.02542","kind":"arxiv","version":1}},"canonical_sha256":"3de6b174f638e57dc4d429b6d964b6382eefc41abc7cc39fbe10c2c0970c27b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3de6b174f638e57dc4d429b6d964b6382eefc41abc7cc39fbe10c2c0970c27b1","first_computed_at":"2026-07-05T03:33:22.571447Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:33:22.571447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NtMT/paTcPINxyCJYFzaqsjWb06llCJAiM3CWPGqjzX0ZtAuz9nPhvFTueIMrei9ikBvOq6SCIu3n1OLP+1cAw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:33:22.572090Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.02542","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9644244f78dd347eaedcf35d9fc0afe7ef2dff39a9d28d40e6e263ee12b0c99","sha256:74a83720bacca6760ea1483e5c3112d35bb8c308fadbf63053f25888cd9ed5e7"],"state_sha256":"2512fd8405498dc6473dacbf6d19951466f67af6b7fecd40d49680ae67d267fa"}