{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:L3Q2XF4AXKXSR6Y57H7MKXS6JX","short_pith_number":"pith:L3Q2XF4A","canonical_record":{"source":{"id":"1510.06538","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-22T09:15:53Z","cross_cats_sorted":[],"title_canon_sha256":"90c4c41ddf1108abd9e83b23a1ce483a7c5f78730329cfd37107ff4697b4de24","abstract_canon_sha256":"054dbb6c1d5a8f126b4a56850d8a2c6f35bf6c4d9b8287b3d573e8ebe47fd9f0"},"schema_version":"1.0"},"canonical_sha256":"5ee1ab9780baaf28fb1df9fec55e5e4dea89355cab8784f824048d22a3bc9adb","source":{"kind":"arxiv","id":"1510.06538","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06538","created_at":"2026-05-18T01:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06538v2","created_at":"2026-05-18T01:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06538","created_at":"2026-05-18T01:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"L3Q2XF4AXKXS","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"L3Q2XF4AXKXSR6Y5","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"L3Q2XF4A","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:L3Q2XF4AXKXSR6Y57H7MKXS6JX","target":"record","payload":{"canonical_record":{"source":{"id":"1510.06538","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-22T09:15:53Z","cross_cats_sorted":[],"title_canon_sha256":"90c4c41ddf1108abd9e83b23a1ce483a7c5f78730329cfd37107ff4697b4de24","abstract_canon_sha256":"054dbb6c1d5a8f126b4a56850d8a2c6f35bf6c4d9b8287b3d573e8ebe47fd9f0"},"schema_version":"1.0"},"canonical_sha256":"5ee1ab9780baaf28fb1df9fec55e5e4dea89355cab8784f824048d22a3bc9adb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:06.393137Z","signature_b64":"Bo+gQD1svDStdVEF/Gh5bjhTskdXYwhgBDeOcYFYpnY3j5eOmW10v0L9WmTJXuF8UEHEKE7MJs0ywOpnWi03DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ee1ab9780baaf28fb1df9fec55e5e4dea89355cab8784f824048d22a3bc9adb","last_reissued_at":"2026-05-18T01:24:06.392429Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:06.392429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.06538","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bw2uqFnbMztWZ8+AGWsjB/qTbXncIszOHO10KtFe7NeZCMowXHuIu/XiZembPWMN25GMoxW56Uik//f355PKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:46:01.458118Z"},"content_sha256":"84234d3728ab3057783e2da75b42aa9b13929dfa07bbeb6ef59990e4f6a089a6","schema_version":"1.0","event_id":"sha256:84234d3728ab3057783e2da75b42aa9b13929dfa07bbeb6ef59990e4f6a089a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:L3Q2XF4AXKXSR6Y57H7MKXS6JX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Casimir interaction between a sphere and a grating","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Brahim Guizal, Mauro Antezza, Paulo A. Maia Neto, Riccardo Messina","submitted_at":"2015-10-22T09:15:53Z","abstract_excerpt":"We derive the explicit expression for the Casimir energy between a sphere and a 1D grating, in terms of the sphere and grating reflection matrices, and valid for arbitrary materials, sphere radius, and grating geometric parameters. We then numerically calculate the Casimir energy between a metallic (gold) sphere and a dielectric (fused silica) lamellar grating at room temperature, and explore its dependence on the sphere radius, grating-sphere separation, and lateral displacement. We quantitatively investigate the geometrical dependence of the interaction, which is sensitive to the grating hei"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06538","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ah5EpiJJYmO045MfGR0XwLcVT7UHFLnF3u6upqM5+H2Q7tKu6rQK03DwOJ1G4mHcMonLBlzEiZwrY1wR1sPECQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:46:01.458792Z"},"content_sha256":"eb3b3268b4efde7391bf4f46682114642b1118c5a7b7fb210e1ba9163ebb1932","schema_version":"1.0","event_id":"sha256:eb3b3268b4efde7391bf4f46682114642b1118c5a7b7fb210e1ba9163ebb1932"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L3Q2XF4AXKXSR6Y57H7MKXS6JX/bundle.json","state_url":"https://pith.science/pith/L3Q2XF4AXKXSR6Y57H7MKXS6JX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L3Q2XF4AXKXSR6Y57H7MKXS6JX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T16:46:01Z","links":{"resolver":"https://pith.science/pith/L3Q2XF4AXKXSR6Y57H7MKXS6JX","bundle":"https://pith.science/pith/L3Q2XF4AXKXSR6Y57H7MKXS6JX/bundle.json","state":"https://pith.science/pith/L3Q2XF4AXKXSR6Y57H7MKXS6JX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L3Q2XF4AXKXSR6Y57H7MKXS6JX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:L3Q2XF4AXKXSR6Y57H7MKXS6JX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"054dbb6c1d5a8f126b4a56850d8a2c6f35bf6c4d9b8287b3d573e8ebe47fd9f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-22T09:15:53Z","title_canon_sha256":"90c4c41ddf1108abd9e83b23a1ce483a7c5f78730329cfd37107ff4697b4de24"},"schema_version":"1.0","source":{"id":"1510.06538","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06538","created_at":"2026-05-18T01:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06538v2","created_at":"2026-05-18T01:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06538","created_at":"2026-05-18T01:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"L3Q2XF4AXKXS","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"L3Q2XF4AXKXSR6Y5","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"L3Q2XF4A","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:eb3b3268b4efde7391bf4f46682114642b1118c5a7b7fb210e1ba9163ebb1932","target":"graph","created_at":"2026-05-18T01:24:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We derive the explicit expression for the Casimir energy between a sphere and a 1D grating, in terms of the sphere and grating reflection matrices, and valid for arbitrary materials, sphere radius, and grating geometric parameters. We then numerically calculate the Casimir energy between a metallic (gold) sphere and a dielectric (fused silica) lamellar grating at room temperature, and explore its dependence on the sphere radius, grating-sphere separation, and lateral displacement. We quantitatively investigate the geometrical dependence of the interaction, which is sensitive to the grating hei","authors_text":"Brahim Guizal, Mauro Antezza, Paulo A. Maia Neto, Riccardo Messina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-22T09:15:53Z","title":"Casimir interaction between a sphere and a grating"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06538","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:84234d3728ab3057783e2da75b42aa9b13929dfa07bbeb6ef59990e4f6a089a6","target":"record","created_at":"2026-05-18T01:24:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"054dbb6c1d5a8f126b4a56850d8a2c6f35bf6c4d9b8287b3d573e8ebe47fd9f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-22T09:15:53Z","title_canon_sha256":"90c4c41ddf1108abd9e83b23a1ce483a7c5f78730329cfd37107ff4697b4de24"},"schema_version":"1.0","source":{"id":"1510.06538","kind":"arxiv","version":2}},"canonical_sha256":"5ee1ab9780baaf28fb1df9fec55e5e4dea89355cab8784f824048d22a3bc9adb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ee1ab9780baaf28fb1df9fec55e5e4dea89355cab8784f824048d22a3bc9adb","first_computed_at":"2026-05-18T01:24:06.392429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:06.392429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bo+gQD1svDStdVEF/Gh5bjhTskdXYwhgBDeOcYFYpnY3j5eOmW10v0L9WmTJXuF8UEHEKE7MJs0ywOpnWi03DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:06.393137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.06538","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84234d3728ab3057783e2da75b42aa9b13929dfa07bbeb6ef59990e4f6a089a6","sha256:eb3b3268b4efde7391bf4f46682114642b1118c5a7b7fb210e1ba9163ebb1932"],"state_sha256":"28a94bb291a8c0a7cf23ad603cf2bfcacfb95e30c88844fa8325799f3b5f5761"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qUOQbr1ZnCqAbEpZxKPFv/6wSy5yFDzVeqXfpaUkRY/sfFc1ScNq6Hi3huSjNOqON1Pj2fRow10pJMNjm/lJDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:46:01.462514Z","bundle_sha256":"6aae9b336cece3f350c5ba095818c0548d90875c38f46682188da6ab97914f37"}}