{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:BWBZNWBSAQI65TYD7I2U24PVRP","short_pith_number":"pith:BWBZNWBS","schema_version":"1.0","canonical_sha256":"0d8396d8320411eecf03fa354d71f58bd7e1eafa74d837d2bdf40397f319638b","source":{"kind":"arxiv","id":"2607.13384","version":1},"attestation_state":"computed","paper":{"title":"A Loewner-Theoretic Approach to the Nonlinear Generalized Langevin Equation: The Role of Entropy in Colored Noise Environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Yusuke K. Shibasaki","submitted_at":"2026-07-15T02:23:10Z","abstract_excerpt":"In this study, the formal derivation of a one-dimensional nonlinear generalized Langevin equation is demonstrated using a decomposition method based on the conformal transformation governed by the chordal Loewner equation. Here, we used a modified Mori-Zwanzig method whose operator is substituted by that is derived from the discrete Loewner evolution. By this approach, the different types of fluctuation-dissipation relation (FDR) were reformulated using mathematical terms affected by the conformal maps. Dealing with a memory kernel that models the cell migration experiment, the numerical simul"},"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":"2607.13384","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-15T02:23:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fde33cf6794f54137eeae90cc6ddaccbbc83765c3908c9e69ee6bb97044aeead","abstract_canon_sha256":"aff2530173cd4df8f8beea96f79c8aa895e770de23fe159968d5acb619fc64f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-16T00:22:15.046002Z","signature_b64":"+yJDEd79Jkq9CHUitKQI3ioz6w2w5Ss4KNBiBbR8NYbQ4RYvCyc4p7Pnj366VbuXK6J7tjH1IU5MKWz0ZtnuBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d8396d8320411eecf03fa354d71f58bd7e1eafa74d837d2bdf40397f319638b","last_reissued_at":"2026-07-16T00:22:15.045075Z","signature_status":"signed_v1","first_computed_at":"2026-07-16T00:22:15.045075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Loewner-Theoretic Approach to the Nonlinear Generalized Langevin Equation: The Role of Entropy in Colored Noise Environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Yusuke K. Shibasaki","submitted_at":"2026-07-15T02:23:10Z","abstract_excerpt":"In this study, the formal derivation of a one-dimensional nonlinear generalized Langevin equation is demonstrated using a decomposition method based on the conformal transformation governed by the chordal Loewner equation. Here, we used a modified Mori-Zwanzig method whose operator is substituted by that is derived from the discrete Loewner evolution. By this approach, the different types of fluctuation-dissipation relation (FDR) were reformulated using mathematical terms affected by the conformal maps. Dealing with a memory kernel that models the cell migration experiment, the numerical simul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13384","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/2607.13384/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":"2607.13384","created_at":"2026-07-16T00:22:15.045567+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.13384v1","created_at":"2026-07-16T00:22:15.045567+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13384","created_at":"2026-07-16T00:22:15.045567+00:00"},{"alias_kind":"pith_short_12","alias_value":"BWBZNWBSAQI6","created_at":"2026-07-16T00:22:15.045567+00:00"},{"alias_kind":"pith_short_16","alias_value":"BWBZNWBSAQI65TYD","created_at":"2026-07-16T00:22:15.045567+00:00"},{"alias_kind":"pith_short_8","alias_value":"BWBZNWBS","created_at":"2026-07-16T00:22:15.045567+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BWBZNWBSAQI65TYD7I2U24PVRP","json":"https://pith.science/pith/BWBZNWBSAQI65TYD7I2U24PVRP.json","graph_json":"https://pith.science/api/pith-number/BWBZNWBSAQI65TYD7I2U24PVRP/graph.json","events_json":"https://pith.science/api/pith-number/BWBZNWBSAQI65TYD7I2U24PVRP/events.json","paper":"https://pith.science/paper/BWBZNWBS"},"agent_actions":{"view_html":"https://pith.science/pith/BWBZNWBSAQI65TYD7I2U24PVRP","download_json":"https://pith.science/pith/BWBZNWBSAQI65TYD7I2U24PVRP.json","view_paper":"https://pith.science/paper/BWBZNWBS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.13384&json=true","fetch_graph":"https://pith.science/api/pith-number/BWBZNWBSAQI65TYD7I2U24PVRP/graph.json","fetch_events":"https://pith.science/api/pith-number/BWBZNWBSAQI65TYD7I2U24PVRP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BWBZNWBSAQI65TYD7I2U24PVRP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BWBZNWBSAQI65TYD7I2U24PVRP/action/storage_attestation","attest_author":"https://pith.science/pith/BWBZNWBSAQI65TYD7I2U24PVRP/action/author_attestation","sign_citation":"https://pith.science/pith/BWBZNWBSAQI65TYD7I2U24PVRP/action/citation_signature","submit_replication":"https://pith.science/pith/BWBZNWBSAQI65TYD7I2U24PVRP/action/replication_record"}},"created_at":"2026-07-16T00:22:15.045567+00:00","updated_at":"2026-07-16T00:22:15.045567+00:00"}