{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:KJGIR4BC6XUORIHN2TZLIXGBPY","short_pith_number":"pith:KJGIR4BC","schema_version":"1.0","canonical_sha256":"524c88f022f5e8e8a0edd4f2b45cc17e1caab1a8342d424b519f82a0e83e5ad2","source":{"kind":"arxiv","id":"2203.00739","version":3},"attestation_state":"computed","paper":{"title":"Rapidity evolution of the entanglement entropy in quarkonium: parton and string duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-th","quant-ph"],"primary_cat":"hep-ph","authors_text":"Ismail Zahed, Maciej A. Nowak, Yizhuang Liu","submitted_at":"2022-03-01T20:52:28Z","abstract_excerpt":"We investigate the quantum entanglement in rapidity space of the soft gluon wave function of a quarkonium, in theories with non-trivial rapidity evolutions. We found that the rapidity evolution drastically changes the behavior of the entanglement entropy, at any given order in perturbation theory. At large $N_c$, the reduced density matrices that \"resum\" the leading rapidity-logs can be explicitly constructed, and shown to satisfy Balitsky-Kovchegov (BK)-like evolution equations. We study their entanglement entropy in a simplified $1+1$ toy model, and in 3D QCD. The entanglement entropy in the"},"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":"2203.00739","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T20:52:28Z","cross_cats_sorted":["hep-th","nucl-th","quant-ph"],"title_canon_sha256":"65adf741a23a8cd6863a304062dd453599672e83397c9de5c0fb21605ab3202e","abstract_canon_sha256":"c2c276539fb2be5bafde4e05862855b6b6d7399beada09c01b09d5e0696bfd5f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:47:26.837995Z","signature_b64":"3pGOgeClTF+Df4e4WXFAk/3ZPkUgOxaPEOFhcapj1fhBsTdvkzlv0lrJtCsgiRKySwtcZZMjgYrJy2A86c56BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"524c88f022f5e8e8a0edd4f2b45cc17e1caab1a8342d424b519f82a0e83e5ad2","last_reissued_at":"2026-07-05T04:47:26.837577Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:47:26.837577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rapidity evolution of the entanglement entropy in quarkonium: parton and string duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-th","quant-ph"],"primary_cat":"hep-ph","authors_text":"Ismail Zahed, Maciej A. Nowak, Yizhuang Liu","submitted_at":"2022-03-01T20:52:28Z","abstract_excerpt":"We investigate the quantum entanglement in rapidity space of the soft gluon wave function of a quarkonium, in theories with non-trivial rapidity evolutions. We found that the rapidity evolution drastically changes the behavior of the entanglement entropy, at any given order in perturbation theory. At large $N_c$, the reduced density matrices that \"resum\" the leading rapidity-logs can be explicitly constructed, and shown to satisfy Balitsky-Kovchegov (BK)-like evolution equations. We study their entanglement entropy in a simplified $1+1$ toy model, and in 3D QCD. The entanglement entropy in the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.00739","kind":"arxiv","version":3},"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/2203.00739/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":"2203.00739","created_at":"2026-07-05T04:47:26.837640+00:00"},{"alias_kind":"arxiv_version","alias_value":"2203.00739v3","created_at":"2026-07-05T04:47:26.837640+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.00739","created_at":"2026-07-05T04:47:26.837640+00:00"},{"alias_kind":"pith_short_12","alias_value":"KJGIR4BC6XUO","created_at":"2026-07-05T04:47:26.837640+00:00"},{"alias_kind":"pith_short_16","alias_value":"KJGIR4BC6XUORIHN","created_at":"2026-07-05T04:47:26.837640+00:00"},{"alias_kind":"pith_short_8","alias_value":"KJGIR4BC","created_at":"2026-07-05T04:47:26.837640+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.03400","citing_title":"Entanglement entropy, Monte Carlo event generators, and soft gluons DIScovery","ref_index":37,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KJGIR4BC6XUORIHN2TZLIXGBPY","json":"https://pith.science/pith/KJGIR4BC6XUORIHN2TZLIXGBPY.json","graph_json":"https://pith.science/api/pith-number/KJGIR4BC6XUORIHN2TZLIXGBPY/graph.json","events_json":"https://pith.science/api/pith-number/KJGIR4BC6XUORIHN2TZLIXGBPY/events.json","paper":"https://pith.science/paper/KJGIR4BC"},"agent_actions":{"view_html":"https://pith.science/pith/KJGIR4BC6XUORIHN2TZLIXGBPY","download_json":"https://pith.science/pith/KJGIR4BC6XUORIHN2TZLIXGBPY.json","view_paper":"https://pith.science/paper/KJGIR4BC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2203.00739&json=true","fetch_graph":"https://pith.science/api/pith-number/KJGIR4BC6XUORIHN2TZLIXGBPY/graph.json","fetch_events":"https://pith.science/api/pith-number/KJGIR4BC6XUORIHN2TZLIXGBPY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KJGIR4BC6XUORIHN2TZLIXGBPY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KJGIR4BC6XUORIHN2TZLIXGBPY/action/storage_attestation","attest_author":"https://pith.science/pith/KJGIR4BC6XUORIHN2TZLIXGBPY/action/author_attestation","sign_citation":"https://pith.science/pith/KJGIR4BC6XUORIHN2TZLIXGBPY/action/citation_signature","submit_replication":"https://pith.science/pith/KJGIR4BC6XUORIHN2TZLIXGBPY/action/replication_record"}},"created_at":"2026-07-05T04:47:26.837640+00:00","updated_at":"2026-07-05T04:47:26.837640+00:00"}