{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:NUD5HPNC33GLXNRSSRJ36GI4IL","short_pith_number":"pith:NUD5HPNC","schema_version":"1.0","canonical_sha256":"6d07d3bda2deccbbb6329453bf191c42dbca1eac139887e5128636371b1bfd78","source":{"kind":"arxiv","id":"2412.20147","version":1},"attestation_state":"computed","paper":{"title":"Quantum Transport in Interacting Spin Chains: Exact Derivation of the GUE Tracy-Widom Distribution","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.quant-gas","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Kazuya Fujimoto, Tomohiro Sasamoto","submitted_at":"2024-12-28T13:15:12Z","abstract_excerpt":"We theoretically study quantum spin transport in a one-dimensional folded XXZ model with an alternating domain-wall initial state via the Bethe ansatz technique, exactly demonstrating that a probability distribution of finding a left-most up-spin with an appropriate scaling variable converges to the Tracy-Widom distribution for the Gaussian unitary ensemble (GUE), which is a universal distribution for the largest eigenvalue of GUE under a soft-edge scaling limit. Our finding presented here offers a first exact derivation of the GUE Tracy-Widom distribution in the dynamics of the interacting qu"},"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":"2412.20147","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-12-28T13:15:12Z","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"title_canon_sha256":"1f211c7b3ea4c93f8c3f24a810713143fcfd64c507ac7c696cd8451a598878e8","abstract_canon_sha256":"275e42777b7b2f2f1bbe64c54c07f7cf3b408523ad21108d626caee172cde6c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:54:55.076432Z","signature_b64":"zQdrP1knwoeILL5AZ26luvULTFGYd/pc31jDZR6cEogPs4BAyAYtBrKNNcIh2FFMwX6flQxVwJBo0cRNMo+fCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d07d3bda2deccbbb6329453bf191c42dbca1eac139887e5128636371b1bfd78","last_reissued_at":"2026-07-05T09:54:55.075944Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:54:55.075944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Transport in Interacting Spin Chains: Exact Derivation of the GUE Tracy-Widom Distribution","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.quant-gas","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Kazuya Fujimoto, Tomohiro Sasamoto","submitted_at":"2024-12-28T13:15:12Z","abstract_excerpt":"We theoretically study quantum spin transport in a one-dimensional folded XXZ model with an alternating domain-wall initial state via the Bethe ansatz technique, exactly demonstrating that a probability distribution of finding a left-most up-spin with an appropriate scaling variable converges to the Tracy-Widom distribution for the Gaussian unitary ensemble (GUE), which is a universal distribution for the largest eigenvalue of GUE under a soft-edge scaling limit. Our finding presented here offers a first exact derivation of the GUE Tracy-Widom distribution in the dynamics of the interacting qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.20147","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.20147/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":"2412.20147","created_at":"2026-07-05T09:54:55.076002+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.20147v1","created_at":"2026-07-05T09:54:55.076002+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.20147","created_at":"2026-07-05T09:54:55.076002+00:00"},{"alias_kind":"pith_short_12","alias_value":"NUD5HPNC33GL","created_at":"2026-07-05T09:54:55.076002+00:00"},{"alias_kind":"pith_short_16","alias_value":"NUD5HPNC33GLXNRS","created_at":"2026-07-05T09:54:55.076002+00:00"},{"alias_kind":"pith_short_8","alias_value":"NUD5HPNC","created_at":"2026-07-05T09:54:55.076002+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2504.06989","citing_title":"Exact Current Fluctuations in a Tight-Binding Chain with Dephasing Noise","ref_index":24,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21206","citing_title":"Magnetic-field control of interactions in alkaline-earth Rydberg atoms and applications to {\\it XXZ} models","ref_index":141,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NUD5HPNC33GLXNRSSRJ36GI4IL","json":"https://pith.science/pith/NUD5HPNC33GLXNRSSRJ36GI4IL.json","graph_json":"https://pith.science/api/pith-number/NUD5HPNC33GLXNRSSRJ36GI4IL/graph.json","events_json":"https://pith.science/api/pith-number/NUD5HPNC33GLXNRSSRJ36GI4IL/events.json","paper":"https://pith.science/paper/NUD5HPNC"},"agent_actions":{"view_html":"https://pith.science/pith/NUD5HPNC33GLXNRSSRJ36GI4IL","download_json":"https://pith.science/pith/NUD5HPNC33GLXNRSSRJ36GI4IL.json","view_paper":"https://pith.science/paper/NUD5HPNC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.20147&json=true","fetch_graph":"https://pith.science/api/pith-number/NUD5HPNC33GLXNRSSRJ36GI4IL/graph.json","fetch_events":"https://pith.science/api/pith-number/NUD5HPNC33GLXNRSSRJ36GI4IL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NUD5HPNC33GLXNRSSRJ36GI4IL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NUD5HPNC33GLXNRSSRJ36GI4IL/action/storage_attestation","attest_author":"https://pith.science/pith/NUD5HPNC33GLXNRSSRJ36GI4IL/action/author_attestation","sign_citation":"https://pith.science/pith/NUD5HPNC33GLXNRSSRJ36GI4IL/action/citation_signature","submit_replication":"https://pith.science/pith/NUD5HPNC33GLXNRSSRJ36GI4IL/action/replication_record"}},"created_at":"2026-07-05T09:54:55.076002+00:00","updated_at":"2026-07-05T09:54:55.076002+00:00"}