{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:54LFIOFWVQNPGVI6ITCLYIWZV4","short_pith_number":"pith:54LFIOFW","schema_version":"1.0","canonical_sha256":"ef165438b6ac1af3551e44c4bc22d9af23f8d693bee77b47218ec149894688a5","source":{"kind":"arxiv","id":"1403.3326","version":2},"attestation_state":"computed","paper":{"title":"Macroscopic approach to the Casimir friction force","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"quant-ph","authors_text":"A.V. Nesterenko, V.V. Nesterenko","submitted_at":"2014-03-13T17:01:58Z","abstract_excerpt":"The general formula is derived for the vacuum friction force between two parallel perfectly flat planes bounding two material media separated by a vacuum gap and moving relative to each other with a constant velocity $\\mathbf{v}$. The material media are described in the framework of macroscopic electrodynamics whereas the nonzero temperature and dissipation are taken into account by making use of the Kubo formulae from non-equilibrium statistical thermodynamics. The formula obtained provides a rigorous basis for calculation of the vacuum friction force within the quantum field theory methods i"},"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":"1403.3326","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-13T17:01:58Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"40781046f08df93d653bc0f2da04d73194f5e465e750aacfc70cf91feadc5e0e","abstract_canon_sha256":"90d270cd5f31055f3969882695e986833eaa2cbdb7e70519728f19d03f312c94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:03.123364Z","signature_b64":"pks5QXkEaol9fn8E2cVIKSiw4y8T5DO7cNXzaj8xjHxGYjCaPyvm79VZZdnXBLlivKvIPhIhdufi//ntU279CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef165438b6ac1af3551e44c4bc22d9af23f8d693bee77b47218ec149894688a5","last_reissued_at":"2026-05-18T02:49:03.122696Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:03.122696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Macroscopic approach to the Casimir friction force","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"quant-ph","authors_text":"A.V. Nesterenko, V.V. Nesterenko","submitted_at":"2014-03-13T17:01:58Z","abstract_excerpt":"The general formula is derived for the vacuum friction force between two parallel perfectly flat planes bounding two material media separated by a vacuum gap and moving relative to each other with a constant velocity $\\mathbf{v}$. The material media are described in the framework of macroscopic electrodynamics whereas the nonzero temperature and dissipation are taken into account by making use of the Kubo formulae from non-equilibrium statistical thermodynamics. The formula obtained provides a rigorous basis for calculation of the vacuum friction force within the quantum field theory methods i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3326","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":"1403.3326","created_at":"2026-05-18T02:49:03.122789+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.3326v2","created_at":"2026-05-18T02:49:03.122789+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3326","created_at":"2026-05-18T02:49:03.122789+00:00"},{"alias_kind":"pith_short_12","alias_value":"54LFIOFWVQNP","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"54LFIOFWVQNPGVI6","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"54LFIOFW","created_at":"2026-05-18T12:28:14.216126+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/54LFIOFWVQNPGVI6ITCLYIWZV4","json":"https://pith.science/pith/54LFIOFWVQNPGVI6ITCLYIWZV4.json","graph_json":"https://pith.science/api/pith-number/54LFIOFWVQNPGVI6ITCLYIWZV4/graph.json","events_json":"https://pith.science/api/pith-number/54LFIOFWVQNPGVI6ITCLYIWZV4/events.json","paper":"https://pith.science/paper/54LFIOFW"},"agent_actions":{"view_html":"https://pith.science/pith/54LFIOFWVQNPGVI6ITCLYIWZV4","download_json":"https://pith.science/pith/54LFIOFWVQNPGVI6ITCLYIWZV4.json","view_paper":"https://pith.science/paper/54LFIOFW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.3326&json=true","fetch_graph":"https://pith.science/api/pith-number/54LFIOFWVQNPGVI6ITCLYIWZV4/graph.json","fetch_events":"https://pith.science/api/pith-number/54LFIOFWVQNPGVI6ITCLYIWZV4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/54LFIOFWVQNPGVI6ITCLYIWZV4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/54LFIOFWVQNPGVI6ITCLYIWZV4/action/storage_attestation","attest_author":"https://pith.science/pith/54LFIOFWVQNPGVI6ITCLYIWZV4/action/author_attestation","sign_citation":"https://pith.science/pith/54LFIOFWVQNPGVI6ITCLYIWZV4/action/citation_signature","submit_replication":"https://pith.science/pith/54LFIOFWVQNPGVI6ITCLYIWZV4/action/replication_record"}},"created_at":"2026-05-18T02:49:03.122789+00:00","updated_at":"2026-05-18T02:49:03.122789+00:00"}