{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:FV4ZOHNZC5WBBZYQA4MMWSLX7R","short_pith_number":"pith:FV4ZOHNZ","schema_version":"1.0","canonical_sha256":"2d79971db9176c10e7100718cb4977fc7d626f19f9ee2758e53ff2d80f690567","source":{"kind":"arxiv","id":"1409.6461","version":1},"attestation_state":"computed","paper":{"title":"Non-linear Nyquist theorem: A conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Navinder Singh","submitted_at":"2014-09-23T09:49:49Z","abstract_excerpt":"Thermodynamics of equilibrium states is well established. However, in nonequilibrium few general results are known. One prime and important example is that of Nyquist theorem. It relates equilibrium tiny voltage fluctuations across a conductor with its resistance. In linear systems it was proved in its generality in a beautiful piece of work by Callen and Welton (in 1950s\\cite{cw}). However Callen-Welton's formalism has not been extended to nonlinear systems up to now, although alternative methods exist (like Kubo's approach) that leads to formal and implicit expressions {\\it at nonlinear orde"},"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":"1409.6461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-09-23T09:49:49Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"5cf9dd86a2bf52a4f3b7eaf38205b28175009a03a9304ba72d91ffe4a7ad0116","abstract_canon_sha256":"7be69d1fb86272dfbcf01cb0726fb3abcf10c73c9a1dab20badab3d5cb082dad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:07.088797Z","signature_b64":"FYAHjHHlEsrPW8Tpi+UQcpeMw51QqsDqvEX3VG1wtl0b/7hiwW/bijfea+crjhETDepgtQcvZCLvec5bF2I1Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d79971db9176c10e7100718cb4977fc7d626f19f9ee2758e53ff2d80f690567","last_reissued_at":"2026-05-18T02:42:07.088325Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:07.088325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-linear Nyquist theorem: A conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Navinder Singh","submitted_at":"2014-09-23T09:49:49Z","abstract_excerpt":"Thermodynamics of equilibrium states is well established. However, in nonequilibrium few general results are known. One prime and important example is that of Nyquist theorem. It relates equilibrium tiny voltage fluctuations across a conductor with its resistance. In linear systems it was proved in its generality in a beautiful piece of work by Callen and Welton (in 1950s\\cite{cw}). However Callen-Welton's formalism has not been extended to nonlinear systems up to now, although alternative methods exist (like Kubo's approach) that leads to formal and implicit expressions {\\it at nonlinear orde"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6461","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":"1409.6461","created_at":"2026-05-18T02:42:07.088395+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.6461v1","created_at":"2026-05-18T02:42:07.088395+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6461","created_at":"2026-05-18T02:42:07.088395+00:00"},{"alias_kind":"pith_short_12","alias_value":"FV4ZOHNZC5WB","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"FV4ZOHNZC5WBBZYQ","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"FV4ZOHNZ","created_at":"2026-05-18T12:28:28.263976+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/FV4ZOHNZC5WBBZYQA4MMWSLX7R","json":"https://pith.science/pith/FV4ZOHNZC5WBBZYQA4MMWSLX7R.json","graph_json":"https://pith.science/api/pith-number/FV4ZOHNZC5WBBZYQA4MMWSLX7R/graph.json","events_json":"https://pith.science/api/pith-number/FV4ZOHNZC5WBBZYQA4MMWSLX7R/events.json","paper":"https://pith.science/paper/FV4ZOHNZ"},"agent_actions":{"view_html":"https://pith.science/pith/FV4ZOHNZC5WBBZYQA4MMWSLX7R","download_json":"https://pith.science/pith/FV4ZOHNZC5WBBZYQA4MMWSLX7R.json","view_paper":"https://pith.science/paper/FV4ZOHNZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.6461&json=true","fetch_graph":"https://pith.science/api/pith-number/FV4ZOHNZC5WBBZYQA4MMWSLX7R/graph.json","fetch_events":"https://pith.science/api/pith-number/FV4ZOHNZC5WBBZYQA4MMWSLX7R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FV4ZOHNZC5WBBZYQA4MMWSLX7R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FV4ZOHNZC5WBBZYQA4MMWSLX7R/action/storage_attestation","attest_author":"https://pith.science/pith/FV4ZOHNZC5WBBZYQA4MMWSLX7R/action/author_attestation","sign_citation":"https://pith.science/pith/FV4ZOHNZC5WBBZYQA4MMWSLX7R/action/citation_signature","submit_replication":"https://pith.science/pith/FV4ZOHNZC5WBBZYQA4MMWSLX7R/action/replication_record"}},"created_at":"2026-05-18T02:42:07.088395+00:00","updated_at":"2026-05-18T02:42:07.088395+00:00"}