{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IJ32EW4Y5PP636KJNSDHHPZP76","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":"6f8a900d9397980df8187d1008558ffa691a4e3b548a02d5ddbfc442f96821c6","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-07-14T23:36:16Z","title_canon_sha256":"1db01836ca02d10fc73d1d6fdbccc07b810e2f636d33bb5e9a64e51278fe81cf"},"schema_version":"1.0","source":{"id":"2507.10863","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.10863","created_at":"2026-07-05T12:03:50Z"},{"alias_kind":"arxiv_version","alias_value":"2507.10863v7","created_at":"2026-07-05T12:03:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10863","created_at":"2026-07-05T12:03:50Z"},{"alias_kind":"pith_short_12","alias_value":"IJ32EW4Y5PP6","created_at":"2026-07-05T12:03:50Z"},{"alias_kind":"pith_short_16","alias_value":"IJ32EW4Y5PP636KJ","created_at":"2026-07-05T12:03:50Z"},{"alias_kind":"pith_short_8","alias_value":"IJ32EW4Y","created_at":"2026-07-05T12:03:50Z"}],"graph_snapshots":[{"event_id":"sha256:12fd4038812f0420d80e99f7ff568bbe818fb0abf0ff6de85a54822846c4aaae","target":"graph","created_at":"2026-07-05T12:03:50Z","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/2507.10863/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit a two-temperature Nos\\'e-Hoover wanderer particle embedded in a two-dimensional periodic 2x2 cell with four smooth repulsive corners at $(x,y) = (\\pm 1, \\pm 1)$ to explore chaos with anisotropic thermostatting. The model employs separate thermostats in the x and y directions, enabling controlled deviations from equilibrium. By integrating the full six-dimensional equations of motion and computing the complete Lyapunov spectrum, we confirm chaos and quantify phase-space contraction with high numerical precision. The total contraction rate, interpreted as entropy production, increases","authors_text":"Brad Lee Holian, Carol Griswold Hoover, Hesam Arabzadeh, William Graham Hoover","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-07-14T23:36:16Z","title":"Chaos in Nonequilibrium Two-Temperature $(T_x, T_y)$ Nos\\'e-Hoover Cell Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10863","kind":"arxiv","version":7},"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":"sha256:7d3b95c518251700870581cd09cc8b8a8e1deb4b58b48d99e2e09fd6d6fa511e","target":"record","created_at":"2026-07-05T12:03:50Z","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":"6f8a900d9397980df8187d1008558ffa691a4e3b548a02d5ddbfc442f96821c6","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-07-14T23:36:16Z","title_canon_sha256":"1db01836ca02d10fc73d1d6fdbccc07b810e2f636d33bb5e9a64e51278fe81cf"},"schema_version":"1.0","source":{"id":"2507.10863","kind":"arxiv","version":7}},"canonical_sha256":"4277a25b98ebdfedf9496c8673bf2fff882b49624e3ea257265fc519f3dffedb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4277a25b98ebdfedf9496c8673bf2fff882b49624e3ea257265fc519f3dffedb","first_computed_at":"2026-07-05T12:03:50.022092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:03:50.022092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B2fvJBXU5pvJ74/Ys1bSXouo/XHk9b1ylcQlO2O/uQGu9LV1gVW9+DEzU4KN8LsAskVrdjqSKegvqAMqflArCA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:03:50.022689Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.10863","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d3b95c518251700870581cd09cc8b8a8e1deb4b58b48d99e2e09fd6d6fa511e","sha256:12fd4038812f0420d80e99f7ff568bbe818fb0abf0ff6de85a54822846c4aaae"],"state_sha256":"dadf03083ef64a795104718484494a169a16bd0e14ebcf5951fb5f5c6fe19edb"}