{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5N4IV3I3HYK5P6DPG5ZY5432SW","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":"bfc4dd889db686b1d057a3198c73ccbdfca03ef5be60e49bf820113ce6efb623","cross_cats_sorted":["cond-mat.quant-gas","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-01-13T07:05:08Z","title_canon_sha256":"7279e6636507dbcaec71cfc8a10551edeb7a502b7f00cffedc3d2c0319531730"},"schema_version":"1.0","source":{"id":"2501.07095","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.07095","created_at":"2026-07-05T10:47:56Z"},{"alias_kind":"arxiv_version","alias_value":"2501.07095v1","created_at":"2026-07-05T10:47:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.07095","created_at":"2026-07-05T10:47:56Z"},{"alias_kind":"pith_short_12","alias_value":"5N4IV3I3HYK5","created_at":"2026-07-05T10:47:56Z"},{"alias_kind":"pith_short_16","alias_value":"5N4IV3I3HYK5P6DP","created_at":"2026-07-05T10:47:56Z"},{"alias_kind":"pith_short_8","alias_value":"5N4IV3I3","created_at":"2026-07-05T10:47:56Z"}],"graph_snapshots":[{"event_id":"sha256:3d2f07d2ece3f6fcf5b46cb4b445965dd0b2a2e9c907ed701132fac2407f5f90","target":"graph","created_at":"2026-07-05T10:47:56Z","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/2501.07095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We theoretically investigate the many-body dynamics of a tight-binding chain with dephasing noise on the infinite interval. We obtain the exact solution of an average particle-density profile for the domain wall and the alternating initial conditions via the Bethe ansatz, analytically deriving the asymptotic expressions for the long time dynamics. For the domain wall initial condition, we obtain the scaling form of the average density, elucidating that the diffusive transport always emerges in the long time dynamics if the strength of the dephasing, no matter how small, is positive. For the al","authors_text":"Kazuya Fujimoto, Taiki Ishiyama, Tomohiro Sasamoto","cross_cats":["cond-mat.quant-gas","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-01-13T07:05:08Z","title":"Exact density profile in a tight-binding chain with dephasing noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.07095","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":"sha256:50173c75b7b176c23ded562a45c87ce739ef158025c7cc74218a23a4b27067de","target":"record","created_at":"2026-07-05T10:47:56Z","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":"bfc4dd889db686b1d057a3198c73ccbdfca03ef5be60e49bf820113ce6efb623","cross_cats_sorted":["cond-mat.quant-gas","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-01-13T07:05:08Z","title_canon_sha256":"7279e6636507dbcaec71cfc8a10551edeb7a502b7f00cffedc3d2c0319531730"},"schema_version":"1.0","source":{"id":"2501.07095","kind":"arxiv","version":1}},"canonical_sha256":"eb788aed1b3e15d7f86f37738ef37a95bbb54014e05e6e1089e83c11b3e25af9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb788aed1b3e15d7f86f37738ef37a95bbb54014e05e6e1089e83c11b3e25af9","first_computed_at":"2026-07-05T10:47:56.956191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:47:56.956191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qyPE+k8VvjmFSpdDPkG8yCJ0hNszuhFkSsM+9wHaRD0og4FK0OVf/VMzxkQYB2axeEUmroPKp6ZX8gnVjXJkAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:47:56.956663Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.07095","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50173c75b7b176c23ded562a45c87ce739ef158025c7cc74218a23a4b27067de","sha256:3d2f07d2ece3f6fcf5b46cb4b445965dd0b2a2e9c907ed701132fac2407f5f90"],"state_sha256":"3829d45ff3a492329c27ee1e66006fd800575f5b2c3a2e22b759669cec2f2c7a"}