{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:NV3IAD32TDE3RU4MXK7K25RSO5","short_pith_number":"pith:NV3IAD32","schema_version":"1.0","canonical_sha256":"6d76800f7a98c9b8d38cbabead7632775b97e471b5997a5868f81981c118e85e","source":{"kind":"arxiv","id":"1504.04964","version":2},"attestation_state":"computed","paper":{"title":"Non-equilibrium steady states for chains of four rotors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jean-Pierre Eckmann, No\\'e Cuneo","submitted_at":"2015-04-20T08:18:54Z","abstract_excerpt":"We study a chain of four interacting rotors (rotators) connected at both ends to stochastic heat baths at different temperatures. We show that for non-degenerate interaction potentials the system relaxes, at a stretched exponential rate, to a non-equilibrium steady state (NESS). Rotors with high energy tend to decouple from their neighbors due to fast oscillation of the forces. Because of this, the energy of the central two rotors, which interact with the heat baths only through the external rotors, can take a very long time to dissipate. By appropriately averaging the oscillatory forces, we e"},"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":"1504.04964","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-04-20T08:18:54Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3e4e1ad899f0f7ee26510c230f16d7c86b10e42e10eaec1d0d88af1d5eecb73f","abstract_canon_sha256":"05d454803ed6863d20b36787996bc0ced64a98ab6f7dbcad5088057e6887e667"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:50.726289Z","signature_b64":"PgY3AGJcMH3//gJEQC7NDyhBxiC4J8FZ56aad8nqJirhTfSJ8L9+1dS81s3zudQekiCjrTwX5dPOWWii8+vNBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d76800f7a98c9b8d38cbabead7632775b97e471b5997a5868f81981c118e85e","last_reissued_at":"2026-05-18T01:22:50.725564Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:50.725564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-equilibrium steady states for chains of four rotors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jean-Pierre Eckmann, No\\'e Cuneo","submitted_at":"2015-04-20T08:18:54Z","abstract_excerpt":"We study a chain of four interacting rotors (rotators) connected at both ends to stochastic heat baths at different temperatures. We show that for non-degenerate interaction potentials the system relaxes, at a stretched exponential rate, to a non-equilibrium steady state (NESS). Rotors with high energy tend to decouple from their neighbors due to fast oscillation of the forces. Because of this, the energy of the central two rotors, which interact with the heat baths only through the external rotors, can take a very long time to dissipate. By appropriately averaging the oscillatory forces, we e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04964","kind":"arxiv","version":2},"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":"1504.04964","created_at":"2026-05-18T01:22:50.725702+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.04964v2","created_at":"2026-05-18T01:22:50.725702+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04964","created_at":"2026-05-18T01:22:50.725702+00:00"},{"alias_kind":"pith_short_12","alias_value":"NV3IAD32TDE3","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"NV3IAD32TDE3RU4M","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"NV3IAD32","created_at":"2026-05-18T12:29:34.919912+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/NV3IAD32TDE3RU4MXK7K25RSO5","json":"https://pith.science/pith/NV3IAD32TDE3RU4MXK7K25RSO5.json","graph_json":"https://pith.science/api/pith-number/NV3IAD32TDE3RU4MXK7K25RSO5/graph.json","events_json":"https://pith.science/api/pith-number/NV3IAD32TDE3RU4MXK7K25RSO5/events.json","paper":"https://pith.science/paper/NV3IAD32"},"agent_actions":{"view_html":"https://pith.science/pith/NV3IAD32TDE3RU4MXK7K25RSO5","download_json":"https://pith.science/pith/NV3IAD32TDE3RU4MXK7K25RSO5.json","view_paper":"https://pith.science/paper/NV3IAD32","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.04964&json=true","fetch_graph":"https://pith.science/api/pith-number/NV3IAD32TDE3RU4MXK7K25RSO5/graph.json","fetch_events":"https://pith.science/api/pith-number/NV3IAD32TDE3RU4MXK7K25RSO5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NV3IAD32TDE3RU4MXK7K25RSO5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NV3IAD32TDE3RU4MXK7K25RSO5/action/storage_attestation","attest_author":"https://pith.science/pith/NV3IAD32TDE3RU4MXK7K25RSO5/action/author_attestation","sign_citation":"https://pith.science/pith/NV3IAD32TDE3RU4MXK7K25RSO5/action/citation_signature","submit_replication":"https://pith.science/pith/NV3IAD32TDE3RU4MXK7K25RSO5/action/replication_record"}},"created_at":"2026-05-18T01:22:50.725702+00:00","updated_at":"2026-05-18T01:22:50.725702+00:00"}