{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:KNHQ6HCBCRGIEUW2HZDAL7SHKA","short_pith_number":"pith:KNHQ6HCB","schema_version":"1.0","canonical_sha256":"534f0f1c41144c8252da3e4605fe47503db83529bce08b9c8f4d83caa2a50d85","source":{"kind":"arxiv","id":"cond-mat/0112193","version":2},"attestation_state":"computed","paper":{"title":"Thermal conduction in classical low-dimensional lattices","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Antonio Politi, Roberto Livi, Stefano Lepri","submitted_at":"2001-12-11T16:05:37Z","abstract_excerpt":"Deriving macroscopic phenomenological laws of irreversible thermodynamics from simple microscopic models is one of the tasks of non-equilibrium statistical mechanics. We consider stationary energy transport in crystals with reference to simple mathematical models consisting of coupled oscillators on a lattice. The role of lattice dimensionality on the breakdown of the Fourier's law is discussed and some universal quantitative aspects are emphasized: the divergence of the finite-size thermal conductivity is characterized by universal laws in one and two dimensions. Equilibrium and non-equilibri"},"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":"cond-mat/0112193","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-12-11T16:05:37Z","cross_cats_sorted":[],"title_canon_sha256":"081dd91bdba79ff01de23a1275392d722c21405149a84b60e93e7b6896c4cb36","abstract_canon_sha256":"d8f777de2a96b71ad97d21bed1aeac3cda07382c2829fe9b659e0152f0727636"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:06.202992Z","signature_b64":"4AR7A9RwGsdkrcpRQ3w1ZmNGHOqNHHdwrvHPXPI3E0V6HemaXgiTGC9ia92QK3veGbd1VIhRtpMWaH1BglEWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"534f0f1c41144c8252da3e4605fe47503db83529bce08b9c8f4d83caa2a50d85","last_reissued_at":"2026-05-18T01:40:06.202373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:06.202373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermal conduction in classical low-dimensional lattices","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Antonio Politi, Roberto Livi, Stefano Lepri","submitted_at":"2001-12-11T16:05:37Z","abstract_excerpt":"Deriving macroscopic phenomenological laws of irreversible thermodynamics from simple microscopic models is one of the tasks of non-equilibrium statistical mechanics. We consider stationary energy transport in crystals with reference to simple mathematical models consisting of coupled oscillators on a lattice. The role of lattice dimensionality on the breakdown of the Fourier's law is discussed and some universal quantitative aspects are emphasized: the divergence of the finite-size thermal conductivity is characterized by universal laws in one and two dimensions. Equilibrium and non-equilibri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0112193","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":"cond-mat/0112193","created_at":"2026-05-18T01:40:06.202468+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0112193v2","created_at":"2026-05-18T01:40:06.202468+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0112193","created_at":"2026-05-18T01:40:06.202468+00:00"},{"alias_kind":"pith_short_12","alias_value":"KNHQ6HCBCRGI","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"KNHQ6HCBCRGIEUW2","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"KNHQ6HCB","created_at":"2026-05-18T12:25:50.254431+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/KNHQ6HCBCRGIEUW2HZDAL7SHKA","json":"https://pith.science/pith/KNHQ6HCBCRGIEUW2HZDAL7SHKA.json","graph_json":"https://pith.science/api/pith-number/KNHQ6HCBCRGIEUW2HZDAL7SHKA/graph.json","events_json":"https://pith.science/api/pith-number/KNHQ6HCBCRGIEUW2HZDAL7SHKA/events.json","paper":"https://pith.science/paper/KNHQ6HCB"},"agent_actions":{"view_html":"https://pith.science/pith/KNHQ6HCBCRGIEUW2HZDAL7SHKA","download_json":"https://pith.science/pith/KNHQ6HCBCRGIEUW2HZDAL7SHKA.json","view_paper":"https://pith.science/paper/KNHQ6HCB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0112193&json=true","fetch_graph":"https://pith.science/api/pith-number/KNHQ6HCBCRGIEUW2HZDAL7SHKA/graph.json","fetch_events":"https://pith.science/api/pith-number/KNHQ6HCBCRGIEUW2HZDAL7SHKA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KNHQ6HCBCRGIEUW2HZDAL7SHKA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KNHQ6HCBCRGIEUW2HZDAL7SHKA/action/storage_attestation","attest_author":"https://pith.science/pith/KNHQ6HCBCRGIEUW2HZDAL7SHKA/action/author_attestation","sign_citation":"https://pith.science/pith/KNHQ6HCBCRGIEUW2HZDAL7SHKA/action/citation_signature","submit_replication":"https://pith.science/pith/KNHQ6HCBCRGIEUW2HZDAL7SHKA/action/replication_record"}},"created_at":"2026-05-18T01:40:06.202468+00:00","updated_at":"2026-05-18T01:40:06.202468+00:00"}