{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:MRU4XBEOEVBSN6XYCYLF7P3XG4","short_pith_number":"pith:MRU4XBEO","schema_version":"1.0","canonical_sha256":"6469cb848e254326faf816165fbf77370a5422b0e6ac982eabee30b0f21becab","source":{"kind":"arxiv","id":"1106.2907","version":2},"attestation_state":"computed","paper":{"title":"Additivity Principle in High-dimensional Deterministic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abhishek Dhar, Keiji Saito","submitted_at":"2011-06-15T08:48:15Z","abstract_excerpt":"The additivity principle (AP), conjectured by Bodineau and Derrida [Phys. Rev. Lett. vol.92, 180601 (2004)], is discussed for the case of heat conduction in three-dimensional disordered harmonic lattices to consider the effects of deterministic dynamics, higher dimensionality, and different transport regimes, i.e., ballistic, diffusive, and anomalous transport. The cumulant generating function (CGF) for heat transfer is accurately calculated, and compared with the one given by the AP. In the diffusive regime, we find a clear agreement with the conjecture even if the system is high-dimensional."},"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":"1106.2907","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-06-15T08:48:15Z","cross_cats_sorted":[],"title_canon_sha256":"d73642dc54b107cfa7055d401bc656662340b4880a59d264862eb869cc15e912","abstract_canon_sha256":"5234a19abcd6ce0455d6530bda07d859d1b12654dcd51400f69aa1a0b3953864"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:37.059255Z","signature_b64":"eI7/j4rdQvDyOC4JUWZe4RJ2AOn9/yN0xAqff9w2G1COZD8I3y90qkV3GrUOoyb5waC6tkLZpfKONuBNzGFsCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6469cb848e254326faf816165fbf77370a5422b0e6ac982eabee30b0f21becab","last_reissued_at":"2026-05-18T02:01:37.058586Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:37.058586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Additivity Principle in High-dimensional Deterministic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abhishek Dhar, Keiji Saito","submitted_at":"2011-06-15T08:48:15Z","abstract_excerpt":"The additivity principle (AP), conjectured by Bodineau and Derrida [Phys. Rev. Lett. vol.92, 180601 (2004)], is discussed for the case of heat conduction in three-dimensional disordered harmonic lattices to consider the effects of deterministic dynamics, higher dimensionality, and different transport regimes, i.e., ballistic, diffusive, and anomalous transport. The cumulant generating function (CGF) for heat transfer is accurately calculated, and compared with the one given by the AP. In the diffusive regime, we find a clear agreement with the conjecture even if the system is high-dimensional."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2907","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":"1106.2907","created_at":"2026-05-18T02:01:37.058698+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.2907v2","created_at":"2026-05-18T02:01:37.058698+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2907","created_at":"2026-05-18T02:01:37.058698+00:00"},{"alias_kind":"pith_short_12","alias_value":"MRU4XBEOEVBS","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"MRU4XBEOEVBSN6XY","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"MRU4XBEO","created_at":"2026-05-18T12:26:34.985390+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/MRU4XBEOEVBSN6XYCYLF7P3XG4","json":"https://pith.science/pith/MRU4XBEOEVBSN6XYCYLF7P3XG4.json","graph_json":"https://pith.science/api/pith-number/MRU4XBEOEVBSN6XYCYLF7P3XG4/graph.json","events_json":"https://pith.science/api/pith-number/MRU4XBEOEVBSN6XYCYLF7P3XG4/events.json","paper":"https://pith.science/paper/MRU4XBEO"},"agent_actions":{"view_html":"https://pith.science/pith/MRU4XBEOEVBSN6XYCYLF7P3XG4","download_json":"https://pith.science/pith/MRU4XBEOEVBSN6XYCYLF7P3XG4.json","view_paper":"https://pith.science/paper/MRU4XBEO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.2907&json=true","fetch_graph":"https://pith.science/api/pith-number/MRU4XBEOEVBSN6XYCYLF7P3XG4/graph.json","fetch_events":"https://pith.science/api/pith-number/MRU4XBEOEVBSN6XYCYLF7P3XG4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MRU4XBEOEVBSN6XYCYLF7P3XG4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MRU4XBEOEVBSN6XYCYLF7P3XG4/action/storage_attestation","attest_author":"https://pith.science/pith/MRU4XBEOEVBSN6XYCYLF7P3XG4/action/author_attestation","sign_citation":"https://pith.science/pith/MRU4XBEOEVBSN6XYCYLF7P3XG4/action/citation_signature","submit_replication":"https://pith.science/pith/MRU4XBEOEVBSN6XYCYLF7P3XG4/action/replication_record"}},"created_at":"2026-05-18T02:01:37.058698+00:00","updated_at":"2026-05-18T02:01:37.058698+00:00"}