{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:RCSATB3SUCES2W6W6HTHL2II6S","short_pith_number":"pith:RCSATB3S","schema_version":"1.0","canonical_sha256":"88a4098772a0892d5bd6f1e675e908f4a7f11d835cb39b66fdf2cb17a042287d","source":{"kind":"arxiv","id":"0709.0699","version":2},"attestation_state":"computed","paper":{"title":"Optical-approximation analysis of sidewall-spacing effects on the force between two squares with parallel sidewalls","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alejandro W. Rodriguez, Robert L. Jaffe, Saad Zaheer, Steven G. Johnson","submitted_at":"2007-09-05T16:35:12Z","abstract_excerpt":"Using the ray-optics approximation, we analyze the Casimir force in a two dimensional domain formed by two metallic blocks adjacent to parallel metallic sidewalls, which are separated from the blocks by a finite distance h. For h > 0, the ray-optics approach is not exact because diffraction effects are neglected. Nevertheless, we show that ray optics is able to qualitatively reproduce a surprising effect recently identified in an exact numerical calculation: the force between the blocks varies non-monotonically with h. In this sense, the ray-optics approach captures an essential part of the ph"},"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":"0709.0699","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-09-05T16:35:12Z","cross_cats_sorted":[],"title_canon_sha256":"f847e978dd4353eb782d3002044ea6cf3bbfbb551880ba18702564076e46102f","abstract_canon_sha256":"de399858a2e5589fee8167b7d02d1fb3f75efe87414a293111ca8f7f3288a462"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:12.440896Z","signature_b64":"rkV3ufMxuzVL6NHMbMr6BhzjSnC+dYyb/H+68cQPZgAEMEWY+QX0CtpoVMdaWEd6RiGS+mxRm+ff/+LHw3YlDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88a4098772a0892d5bd6f1e675e908f4a7f11d835cb39b66fdf2cb17a042287d","last_reissued_at":"2026-05-18T04:31:12.440412Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:12.440412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optical-approximation analysis of sidewall-spacing effects on the force between two squares with parallel sidewalls","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alejandro W. Rodriguez, Robert L. Jaffe, Saad Zaheer, Steven G. Johnson","submitted_at":"2007-09-05T16:35:12Z","abstract_excerpt":"Using the ray-optics approximation, we analyze the Casimir force in a two dimensional domain formed by two metallic blocks adjacent to parallel metallic sidewalls, which are separated from the blocks by a finite distance h. For h > 0, the ray-optics approach is not exact because diffraction effects are neglected. Nevertheless, we show that ray optics is able to qualitatively reproduce a surprising effect recently identified in an exact numerical calculation: the force between the blocks varies non-monotonically with h. In this sense, the ray-optics approach captures an essential part of the ph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.0699","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":"0709.0699","created_at":"2026-05-18T04:31:12.440482+00:00"},{"alias_kind":"arxiv_version","alias_value":"0709.0699v2","created_at":"2026-05-18T04:31:12.440482+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.0699","created_at":"2026-05-18T04:31:12.440482+00:00"},{"alias_kind":"pith_short_12","alias_value":"RCSATB3SUCES","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"RCSATB3SUCES2W6W","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"RCSATB3S","created_at":"2026-05-18T12:25:56.245647+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/RCSATB3SUCES2W6W6HTHL2II6S","json":"https://pith.science/pith/RCSATB3SUCES2W6W6HTHL2II6S.json","graph_json":"https://pith.science/api/pith-number/RCSATB3SUCES2W6W6HTHL2II6S/graph.json","events_json":"https://pith.science/api/pith-number/RCSATB3SUCES2W6W6HTHL2II6S/events.json","paper":"https://pith.science/paper/RCSATB3S"},"agent_actions":{"view_html":"https://pith.science/pith/RCSATB3SUCES2W6W6HTHL2II6S","download_json":"https://pith.science/pith/RCSATB3SUCES2W6W6HTHL2II6S.json","view_paper":"https://pith.science/paper/RCSATB3S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0709.0699&json=true","fetch_graph":"https://pith.science/api/pith-number/RCSATB3SUCES2W6W6HTHL2II6S/graph.json","fetch_events":"https://pith.science/api/pith-number/RCSATB3SUCES2W6W6HTHL2II6S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RCSATB3SUCES2W6W6HTHL2II6S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RCSATB3SUCES2W6W6HTHL2II6S/action/storage_attestation","attest_author":"https://pith.science/pith/RCSATB3SUCES2W6W6HTHL2II6S/action/author_attestation","sign_citation":"https://pith.science/pith/RCSATB3SUCES2W6W6HTHL2II6S/action/citation_signature","submit_replication":"https://pith.science/pith/RCSATB3SUCES2W6W6HTHL2II6S/action/replication_record"}},"created_at":"2026-05-18T04:31:12.440482+00:00","updated_at":"2026-05-18T04:31:12.440482+00:00"}