{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LWP5ZCOZYI4F7YT4HPJYLBNVU2","short_pith_number":"pith:LWP5ZCOZ","schema_version":"1.0","canonical_sha256":"5d9fdc89d9c2385fe27c3bd38585b5a69a60352df8a392c49d48db341f73befa","source":{"kind":"arxiv","id":"1312.1768","version":1},"attestation_state":"computed","paper":{"title":"Sphere-plate Casimir interaction in (D+1)-dimensional spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"L. P. Teo","submitted_at":"2013-12-06T05:14:22Z","abstract_excerpt":"In this paper, we derive the formula for the Casimir interaction energy between a sphere and a plate in $(D+1)$-dimensional Minkowski spacetime. It is assumed that the scalar field satisfies the Dirichlet or Neumann boundary conditions on the sphere and the plate. As in the $D=3$ case, the formula is of TGTG type. One of our main contributions is deriving the translation matrices which express the change of bases between plane waves and spherical waves for general $D$. Using orthogonality of Gegenbauer polynomials, it turns out that the final TGTG formula for the Casimir interaction energy can"},"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":"1312.1768","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-06T05:14:22Z","cross_cats_sorted":[],"title_canon_sha256":"cc633da90f206832ffe1421b6da548ada6e76396a704f6bf3e2770ef2423d001","abstract_canon_sha256":"357ff595135c928e877edb9b63e4042fde94127b3ffaae21ae6cb74ec987572f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:57.976918Z","signature_b64":"IxpqijOKZg6eE9miujaB6KX0Yg5opCj5inOgm23xESbJChV9jc6VWEwnlNN9Y0vPSsbwIF8C9b22JojvSE7oCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d9fdc89d9c2385fe27c3bd38585b5a69a60352df8a392c49d48db341f73befa","last_reissued_at":"2026-05-18T01:45:57.976519Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:57.976519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sphere-plate Casimir interaction in (D+1)-dimensional spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"L. P. Teo","submitted_at":"2013-12-06T05:14:22Z","abstract_excerpt":"In this paper, we derive the formula for the Casimir interaction energy between a sphere and a plate in $(D+1)$-dimensional Minkowski spacetime. It is assumed that the scalar field satisfies the Dirichlet or Neumann boundary conditions on the sphere and the plate. As in the $D=3$ case, the formula is of TGTG type. One of our main contributions is deriving the translation matrices which express the change of bases between plane waves and spherical waves for general $D$. Using orthogonality of Gegenbauer polynomials, it turns out that the final TGTG formula for the Casimir interaction energy can"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1768","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":"1312.1768","created_at":"2026-05-18T01:45:57.976577+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.1768v1","created_at":"2026-05-18T01:45:57.976577+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1768","created_at":"2026-05-18T01:45:57.976577+00:00"},{"alias_kind":"pith_short_12","alias_value":"LWP5ZCOZYI4F","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LWP5ZCOZYI4F7YT4","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LWP5ZCOZ","created_at":"2026-05-18T12:27:51.066281+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/LWP5ZCOZYI4F7YT4HPJYLBNVU2","json":"https://pith.science/pith/LWP5ZCOZYI4F7YT4HPJYLBNVU2.json","graph_json":"https://pith.science/api/pith-number/LWP5ZCOZYI4F7YT4HPJYLBNVU2/graph.json","events_json":"https://pith.science/api/pith-number/LWP5ZCOZYI4F7YT4HPJYLBNVU2/events.json","paper":"https://pith.science/paper/LWP5ZCOZ"},"agent_actions":{"view_html":"https://pith.science/pith/LWP5ZCOZYI4F7YT4HPJYLBNVU2","download_json":"https://pith.science/pith/LWP5ZCOZYI4F7YT4HPJYLBNVU2.json","view_paper":"https://pith.science/paper/LWP5ZCOZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.1768&json=true","fetch_graph":"https://pith.science/api/pith-number/LWP5ZCOZYI4F7YT4HPJYLBNVU2/graph.json","fetch_events":"https://pith.science/api/pith-number/LWP5ZCOZYI4F7YT4HPJYLBNVU2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LWP5ZCOZYI4F7YT4HPJYLBNVU2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LWP5ZCOZYI4F7YT4HPJYLBNVU2/action/storage_attestation","attest_author":"https://pith.science/pith/LWP5ZCOZYI4F7YT4HPJYLBNVU2/action/author_attestation","sign_citation":"https://pith.science/pith/LWP5ZCOZYI4F7YT4HPJYLBNVU2/action/citation_signature","submit_replication":"https://pith.science/pith/LWP5ZCOZYI4F7YT4HPJYLBNVU2/action/replication_record"}},"created_at":"2026-05-18T01:45:57.976577+00:00","updated_at":"2026-05-18T01:45:57.976577+00:00"}