{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HVD4SUFILXJWV4VWWNUAMQBAML","short_pith_number":"pith:HVD4SUFI","schema_version":"1.0","canonical_sha256":"3d47c950a85dd36af2b6b36806402062f1cf79bb813d257b486eeec752448344","source":{"kind":"arxiv","id":"1407.2353","version":1},"attestation_state":"computed","paper":{"title":"Non-Ergodicity of Nose-Hoover chain thermostat in computationally achievable time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Baidurya Bhattacharya, Puneet Kumar Patra","submitted_at":"2014-07-09T04:55:19Z","abstract_excerpt":"The widely used Nose-Hoover chain (NHC) thermostat in molecular dynamics simulations is generally believed to impart the canonical distribution as well as quasi- (i.e., space filling) ergodicity on the thermostatted physical system (PS). Working with the standard single harmonic oscillator, we prove analytically that the two chain Nose-Hoover thermostat with unequal thermostat masses approach the standard Nose-Hoover dynamics and hence the PS loses its canonical and quasi-ergodic nature. We also show through numerical simulations over substantially long times that for certain Poincare sections"},"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":"1407.2353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-09T04:55:19Z","cross_cats_sorted":[],"title_canon_sha256":"1009b972dfea8bc8ccebaa72a4971b2e68138742b1e633cd8713eb52e649c396","abstract_canon_sha256":"c23c1c8ccb7d9197fe7bcc390e219417701a01d751f1db172a280d406e0cfd3f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:10.752297Z","signature_b64":"MwQVKqXCSKbi2YKT/xt/aMnkqq5lz+CDgT0fPTo9CRGW3LmlwGEnm7PZt41OoSQdib67fEG3+/saHuOGYGDwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d47c950a85dd36af2b6b36806402062f1cf79bb813d257b486eeec752448344","last_reissued_at":"2026-05-18T02:39:10.751771Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:10.751771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Ergodicity of Nose-Hoover chain thermostat in computationally achievable time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Baidurya Bhattacharya, Puneet Kumar Patra","submitted_at":"2014-07-09T04:55:19Z","abstract_excerpt":"The widely used Nose-Hoover chain (NHC) thermostat in molecular dynamics simulations is generally believed to impart the canonical distribution as well as quasi- (i.e., space filling) ergodicity on the thermostatted physical system (PS). Working with the standard single harmonic oscillator, we prove analytically that the two chain Nose-Hoover thermostat with unequal thermostat masses approach the standard Nose-Hoover dynamics and hence the PS loses its canonical and quasi-ergodic nature. We also show through numerical simulations over substantially long times that for certain Poincare sections"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2353","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":""},"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":"1407.2353","created_at":"2026-05-18T02:39:10.751845+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.2353v1","created_at":"2026-05-18T02:39:10.751845+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2353","created_at":"2026-05-18T02:39:10.751845+00:00"},{"alias_kind":"pith_short_12","alias_value":"HVD4SUFILXJW","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HVD4SUFILXJWV4VW","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HVD4SUFI","created_at":"2026-05-18T12:28:30.664211+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/HVD4SUFILXJWV4VWWNUAMQBAML","json":"https://pith.science/pith/HVD4SUFILXJWV4VWWNUAMQBAML.json","graph_json":"https://pith.science/api/pith-number/HVD4SUFILXJWV4VWWNUAMQBAML/graph.json","events_json":"https://pith.science/api/pith-number/HVD4SUFILXJWV4VWWNUAMQBAML/events.json","paper":"https://pith.science/paper/HVD4SUFI"},"agent_actions":{"view_html":"https://pith.science/pith/HVD4SUFILXJWV4VWWNUAMQBAML","download_json":"https://pith.science/pith/HVD4SUFILXJWV4VWWNUAMQBAML.json","view_paper":"https://pith.science/paper/HVD4SUFI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.2353&json=true","fetch_graph":"https://pith.science/api/pith-number/HVD4SUFILXJWV4VWWNUAMQBAML/graph.json","fetch_events":"https://pith.science/api/pith-number/HVD4SUFILXJWV4VWWNUAMQBAML/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HVD4SUFILXJWV4VWWNUAMQBAML/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HVD4SUFILXJWV4VWWNUAMQBAML/action/storage_attestation","attest_author":"https://pith.science/pith/HVD4SUFILXJWV4VWWNUAMQBAML/action/author_attestation","sign_citation":"https://pith.science/pith/HVD4SUFILXJWV4VWWNUAMQBAML/action/citation_signature","submit_replication":"https://pith.science/pith/HVD4SUFILXJWV4VWWNUAMQBAML/action/replication_record"}},"created_at":"2026-05-18T02:39:10.751845+00:00","updated_at":"2026-05-18T02:39:10.751845+00:00"}