{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FZFJS5C3GQR5Y2P5VHMDFDG3PG","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":"298798ea546e472d7d6accbd8e1ec1f6e421c924316690c250ce2506e4cc9e43","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-12-02T12:19:57Z","title_canon_sha256":"3acb43d0b75a4fa55d6985863b6669cd195b2cc3b3a4fbc721752c94ef2dbf17"},"schema_version":"1.0","source":{"id":"2412.01436","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.01436","created_at":"2026-07-05T09:43:13Z"},{"alias_kind":"arxiv_version","alias_value":"2412.01436v1","created_at":"2026-07-05T09:43:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01436","created_at":"2026-07-05T09:43:13Z"},{"alias_kind":"pith_short_12","alias_value":"FZFJS5C3GQR5","created_at":"2026-07-05T09:43:13Z"},{"alias_kind":"pith_short_16","alias_value":"FZFJS5C3GQR5Y2P5","created_at":"2026-07-05T09:43:13Z"},{"alias_kind":"pith_short_8","alias_value":"FZFJS5C3","created_at":"2026-07-05T09:43:13Z"}],"graph_snapshots":[{"event_id":"sha256:e7fd410a61c477e650d56b3521c64ccda27441b408c77494a6170724c6431436","target":"graph","created_at":"2026-07-05T09:43:13Z","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/2412.01436/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Kibble-Zurek mechanism is widely known to appear in the transverse-field quantum Ising chain in the thermodynamic limit at zero temperature, having notorious characteristics, like the divergence of its relaxation time. In this work, I present the same effect in a simple system, the driven underdamped Brownian motion. Using linear response theory, I show the appropriate limits where the Kibble-Zurek mechanism happens. The divergence of the relaxation time, the high-temperature condition in the initial thermal equilibrium state, a new Kibble-Zurek scaling at sudden processes, and the pausing eff","authors_text":"Pierre Naz\\'e","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-12-02T12:19:57Z","title":"Kibble-Zurek mechanism in driven underdamped Brownian motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.01436","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":"sha256:005dbd1afb5297753571e390d4c0cd6f4aeb4ab5c4fc62c56185d851366b5bfd","target":"record","created_at":"2026-07-05T09:43:13Z","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":"298798ea546e472d7d6accbd8e1ec1f6e421c924316690c250ce2506e4cc9e43","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-12-02T12:19:57Z","title_canon_sha256":"3acb43d0b75a4fa55d6985863b6669cd195b2cc3b3a4fbc721752c94ef2dbf17"},"schema_version":"1.0","source":{"id":"2412.01436","kind":"arxiv","version":1}},"canonical_sha256":"2e4a99745b3423dc69fda9d8328cdb79aa45d9a02976947474689c0f99825f39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e4a99745b3423dc69fda9d8328cdb79aa45d9a02976947474689c0f99825f39","first_computed_at":"2026-07-05T09:43:13.056066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:43:13.056066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wboGpwhCns6GxkgUkoXVEnGGOutBNuIPLrykxQ85QB8xIvNcuyjfPiQVOthe1/2l5OMYa+30qeLmcvl85MUMDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:43:13.056490Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.01436","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:005dbd1afb5297753571e390d4c0cd6f4aeb4ab5c4fc62c56185d851366b5bfd","sha256:e7fd410a61c477e650d56b3521c64ccda27441b408c77494a6170724c6431436"],"state_sha256":"e69c0732866952670b2c8a4ecdfb6e18e8e82aa3b5ba23a490de3adbc94e88e5"}