{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:4ESGM76UXM5FQFFA74DQGPAUT7","short_pith_number":"pith:4ESGM76U","schema_version":"1.0","canonical_sha256":"e124667fd4bb3a5814a0ff07033c149fdf9329447e55022910698c7aee983179","source":{"kind":"arxiv","id":"hep-th/0108240","version":2},"attestation_state":"computed","paper":{"title":"When the Casimir energy is not a sum of zero-point energies","license":"","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Luiz C. de Albuquerque, R. M. Cavalcanti","submitted_at":"2001-08-31T16:56:03Z","abstract_excerpt":"We compute the leading radiative correction to the Casimir force between two parallel plates in the $\\lambda\\Phi^4$ theory. Dirichlet and periodic boundary conditions are considered. A heuristic approach, in which the Casimir energy is computed as the sum of one-loop corrected zero-point energies, is shown to yield incorrect results, but we show how to amend it. The technique is then used in the case of periodic boundary conditions to construct a perturbative expansion which is free of infrared singularities in the massless limit. In this case we also compute the next-to-leading order radiativ"},"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":"hep-th/0108240","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-08-31T16:56:03Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"d8ed12c0887855433b86032ff9f55bb5493ed9c9d08496ad6740822782933649","abstract_canon_sha256":"b741512131a700d3070f4a7bf6e9741951e9e001407b356bc1318b8600bdcf2e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:21.856528Z","signature_b64":"QLmYz+ABS7HGPLB5aqibL7OrhlqRHrEeUP/LjvvMn8af81XXPF7BT2v/ECi7n8FAYaAcJKOW3egmXMprvZbnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e124667fd4bb3a5814a0ff07033c149fdf9329447e55022910698c7aee983179","last_reissued_at":"2026-05-18T03:24:21.855890Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:21.855890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"When the Casimir energy is not a sum of zero-point energies","license":"","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Luiz C. de Albuquerque, R. M. Cavalcanti","submitted_at":"2001-08-31T16:56:03Z","abstract_excerpt":"We compute the leading radiative correction to the Casimir force between two parallel plates in the $\\lambda\\Phi^4$ theory. Dirichlet and periodic boundary conditions are considered. A heuristic approach, in which the Casimir energy is computed as the sum of one-loop corrected zero-point energies, is shown to yield incorrect results, but we show how to amend it. The technique is then used in the case of periodic boundary conditions to construct a perturbative expansion which is free of infrared singularities in the massless limit. In this case we also compute the next-to-leading order radiativ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0108240","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":"hep-th/0108240","created_at":"2026-05-18T03:24:21.855972+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0108240v2","created_at":"2026-05-18T03:24:21.855972+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0108240","created_at":"2026-05-18T03:24:21.855972+00:00"},{"alias_kind":"pith_short_12","alias_value":"4ESGM76UXM5F","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"4ESGM76UXM5FQFFA","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"4ESGM76U","created_at":"2026-05-18T12:25:50.254431+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/4ESGM76UXM5FQFFA74DQGPAUT7","json":"https://pith.science/pith/4ESGM76UXM5FQFFA74DQGPAUT7.json","graph_json":"https://pith.science/api/pith-number/4ESGM76UXM5FQFFA74DQGPAUT7/graph.json","events_json":"https://pith.science/api/pith-number/4ESGM76UXM5FQFFA74DQGPAUT7/events.json","paper":"https://pith.science/paper/4ESGM76U"},"agent_actions":{"view_html":"https://pith.science/pith/4ESGM76UXM5FQFFA74DQGPAUT7","download_json":"https://pith.science/pith/4ESGM76UXM5FQFFA74DQGPAUT7.json","view_paper":"https://pith.science/paper/4ESGM76U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0108240&json=true","fetch_graph":"https://pith.science/api/pith-number/4ESGM76UXM5FQFFA74DQGPAUT7/graph.json","fetch_events":"https://pith.science/api/pith-number/4ESGM76UXM5FQFFA74DQGPAUT7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4ESGM76UXM5FQFFA74DQGPAUT7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4ESGM76UXM5FQFFA74DQGPAUT7/action/storage_attestation","attest_author":"https://pith.science/pith/4ESGM76UXM5FQFFA74DQGPAUT7/action/author_attestation","sign_citation":"https://pith.science/pith/4ESGM76UXM5FQFFA74DQGPAUT7/action/citation_signature","submit_replication":"https://pith.science/pith/4ESGM76UXM5FQFFA74DQGPAUT7/action/replication_record"}},"created_at":"2026-05-18T03:24:21.855972+00:00","updated_at":"2026-05-18T03:24:21.855972+00:00"}