{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:SGISYAL7NIQ2G66UDJ6VRHXVXP","short_pith_number":"pith:SGISYAL7","schema_version":"1.0","canonical_sha256":"91912c017f6a21a37bd41a7d589ef5bbc12245041f5a1dbdca209737b1e18499","source":{"kind":"arxiv","id":"1007.4397","version":2},"attestation_state":"computed","paper":{"title":"Casimir effect of massive vector fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"L. P. Teo","submitted_at":"2010-07-26T08:32:32Z","abstract_excerpt":"We study the Casimir effect due to a massive vector field in a system of two parallel plates made of real materials, in an arbitrary magnetodielectric background. The plane waves satisfying the Proca equations are classified into transverse modes and longitudinal modes which have different dispersion relations. Transverse modes are further divided into type I and type II corresponding to TE and TM modes in the massless case. For general magnetodielectric media, we argue that the correct boundary conditions are the continuities of $\\mathbf{H}_{\\parallel}, \\phi, \\mathbf{A}$ and $\\pa_xA_x$, where"},"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":"1007.4397","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-26T08:32:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f6987083e02303254a70000ab0a00230e2454c8a58d16bd24d0e654c1b1524af","abstract_canon_sha256":"fad2bb402f3b2ba4f237e67e51f8a6586413338eae8a422aee7bbb544eda8cb7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:33.362967Z","signature_b64":"HyzOfkzuNeCybxjTaCQBoBsjygFnt2HEl8Ooe/eeiSvtyqtjwfNiDCp+Ah0hMpA5oCfODnPmUuM1InS6iwVuCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91912c017f6a21a37bd41a7d589ef5bbc12245041f5a1dbdca209737b1e18499","last_reissued_at":"2026-05-18T04:36:33.362542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:33.362542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Casimir effect of massive vector fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"L. P. Teo","submitted_at":"2010-07-26T08:32:32Z","abstract_excerpt":"We study the Casimir effect due to a massive vector field in a system of two parallel plates made of real materials, in an arbitrary magnetodielectric background. The plane waves satisfying the Proca equations are classified into transverse modes and longitudinal modes which have different dispersion relations. Transverse modes are further divided into type I and type II corresponding to TE and TM modes in the massless case. For general magnetodielectric media, we argue that the correct boundary conditions are the continuities of $\\mathbf{H}_{\\parallel}, \\phi, \\mathbf{A}$ and $\\pa_xA_x$, where"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4397","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":"1007.4397","created_at":"2026-05-18T04:36:33.362608+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.4397v2","created_at":"2026-05-18T04:36:33.362608+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4397","created_at":"2026-05-18T04:36:33.362608+00:00"},{"alias_kind":"pith_short_12","alias_value":"SGISYAL7NIQ2","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"SGISYAL7NIQ2G66U","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"SGISYAL7","created_at":"2026-05-18T12:26:13.927090+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/SGISYAL7NIQ2G66UDJ6VRHXVXP","json":"https://pith.science/pith/SGISYAL7NIQ2G66UDJ6VRHXVXP.json","graph_json":"https://pith.science/api/pith-number/SGISYAL7NIQ2G66UDJ6VRHXVXP/graph.json","events_json":"https://pith.science/api/pith-number/SGISYAL7NIQ2G66UDJ6VRHXVXP/events.json","paper":"https://pith.science/paper/SGISYAL7"},"agent_actions":{"view_html":"https://pith.science/pith/SGISYAL7NIQ2G66UDJ6VRHXVXP","download_json":"https://pith.science/pith/SGISYAL7NIQ2G66UDJ6VRHXVXP.json","view_paper":"https://pith.science/paper/SGISYAL7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.4397&json=true","fetch_graph":"https://pith.science/api/pith-number/SGISYAL7NIQ2G66UDJ6VRHXVXP/graph.json","fetch_events":"https://pith.science/api/pith-number/SGISYAL7NIQ2G66UDJ6VRHXVXP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SGISYAL7NIQ2G66UDJ6VRHXVXP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SGISYAL7NIQ2G66UDJ6VRHXVXP/action/storage_attestation","attest_author":"https://pith.science/pith/SGISYAL7NIQ2G66UDJ6VRHXVXP/action/author_attestation","sign_citation":"https://pith.science/pith/SGISYAL7NIQ2G66UDJ6VRHXVXP/action/citation_signature","submit_replication":"https://pith.science/pith/SGISYAL7NIQ2G66UDJ6VRHXVXP/action/replication_record"}},"created_at":"2026-05-18T04:36:33.362608+00:00","updated_at":"2026-05-18T04:36:33.362608+00:00"}