{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ROXDKD2M7SGWJL5WHJSQYWCAQP","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":"697493bb8f7a6328d0987e7e533115dbebbb4b77b4f1ec6275c97004a0abe0e6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-07-18T15:19:26Z","title_canon_sha256":"8446ad1b8437d2181ad98498ff2303a9b00bfb5ef70a0fc26d4691fbca9e93ff"},"schema_version":"1.0","source":{"id":"2507.14008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.14008","created_at":"2026-06-30T02:18:04Z"},{"alias_kind":"arxiv_version","alias_value":"2507.14008v2","created_at":"2026-06-30T02:18:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.14008","created_at":"2026-06-30T02:18:04Z"},{"alias_kind":"pith_short_12","alias_value":"ROXDKD2M7SGW","created_at":"2026-06-30T02:18:04Z"},{"alias_kind":"pith_short_16","alias_value":"ROXDKD2M7SGWJL5W","created_at":"2026-06-30T02:18:04Z"},{"alias_kind":"pith_short_8","alias_value":"ROXDKD2M","created_at":"2026-06-30T02:18:04Z"}],"graph_snapshots":[{"event_id":"sha256:bfef078b2fe10ed7082fec68203236b9253408ff1d94d7ef1a349a67b1dd80a5","target":"graph","created_at":"2026-06-30T02:18:04Z","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/2507.14008/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a model of a gas of $N$ confined particles subject to a two-body repulsive interaction, namely the one-dimensional log or Riesz gas. We are interested in the so-called \\textit{high temperature} regime, \\textit{i.e.} when the inverse temperature is given by $\\beta_N=2\\alpha/N$ for some $\\alpha>0$. We establish, in the log case, a large deviation (LD) principle and moderate deviations estimates for the largest particle $x_\\mathrm{max}$ when appropriately rescaled. Our result is in the continuity of [Ben Arous Dembo Guionnet 01', Pakzad 20'] where such estimates were shown for the lar","authors_text":"Charlie Dworaczek Guera, Ronan Memin","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-07-18T15:19:26Z","title":"Large deviations at the edge for 1D gases and tridiagonal random matrices at high temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.14008","kind":"arxiv","version":2},"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:f2900525e4b463409d52ba72a70a5db00912dbfa5496c4f200e4eee48646710f","target":"record","created_at":"2026-06-30T02:18:04Z","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":"697493bb8f7a6328d0987e7e533115dbebbb4b77b4f1ec6275c97004a0abe0e6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-07-18T15:19:26Z","title_canon_sha256":"8446ad1b8437d2181ad98498ff2303a9b00bfb5ef70a0fc26d4691fbca9e93ff"},"schema_version":"1.0","source":{"id":"2507.14008","kind":"arxiv","version":2}},"canonical_sha256":"8bae350f4cfc8d64afb63a650c584083cd610d5b555363e458a39a1a175401eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bae350f4cfc8d64afb63a650c584083cd610d5b555363e458a39a1a175401eb","first_computed_at":"2026-06-30T02:18:04.624356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:18:04.624356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4IfNJhMiHScF7jlcsVF13a1ztmyPSg/HLxI2FqOC6wd5byCsVpMS33Y/CyQPWcJYN8sghkYvIXlWksdgvPrjBQ==","signature_status":"signed_v1","signed_at":"2026-06-30T02:18:04.625191Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.14008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2900525e4b463409d52ba72a70a5db00912dbfa5496c4f200e4eee48646710f","sha256:bfef078b2fe10ed7082fec68203236b9253408ff1d94d7ef1a349a67b1dd80a5"],"state_sha256":"eef7ea5f2cae9451940e00704f97a482284754f51e6f0cf0c884d924242b7395"}