{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:JMC5TXFTLLV2RWXLSRLRT4AGUA","short_pith_number":"pith:JMC5TXFT","canonical_record":{"source":{"id":"1003.5986","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-31T07:36:51Z","cross_cats_sorted":[],"title_canon_sha256":"1880deef8224d1b3c5925da9d342b1c4ee8f4fccfd00cad539bdddfb5795f8b8","abstract_canon_sha256":"92bafef36eb334b748d6b20e920405551a4574d546ac4330c2472f2684e0fca7"},"schema_version":"1.0"},"canonical_sha256":"4b05d9dcb35aeba8daeb945719f006a02eceb2eacd984b03353fa9b460abf2fa","source":{"kind":"arxiv","id":"1003.5986","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5986","created_at":"2026-05-18T02:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5986v1","created_at":"2026-05-18T02:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5986","created_at":"2026-05-18T02:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"JMC5TXFTLLV2","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JMC5TXFTLLV2RWXL","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JMC5TXFT","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:JMC5TXFTLLV2RWXLSRLRT4AGUA","target":"record","payload":{"canonical_record":{"source":{"id":"1003.5986","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-31T07:36:51Z","cross_cats_sorted":[],"title_canon_sha256":"1880deef8224d1b3c5925da9d342b1c4ee8f4fccfd00cad539bdddfb5795f8b8","abstract_canon_sha256":"92bafef36eb334b748d6b20e920405551a4574d546ac4330c2472f2684e0fca7"},"schema_version":"1.0"},"canonical_sha256":"4b05d9dcb35aeba8daeb945719f006a02eceb2eacd984b03353fa9b460abf2fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:39.938365Z","signature_b64":"jWSogkq5fuQa0bmHATr0tdaQssPqzUXvAikrWONCYeOlSGeUqfWfeqseLMod6dxfyzeMx99nbpoFWm0l5ZMEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b05d9dcb35aeba8daeb945719f006a02eceb2eacd984b03353fa9b460abf2fa","last_reissued_at":"2026-05-18T02:33:39.937876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:39.937876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.5986","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eF+A2TpBXBmMoyJBeaHAGu+vSsCpKugigYt4gD+oYFNRFks5L/KZTlslFXUFqTHwUWmZ1diwzcDteZAR2PEoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:52:55.038713Z"},"content_sha256":"f77d6ef7c6dd560daad17626ff8a1ad054e29baf727c9f493f142d69eb6d9d31","schema_version":"1.0","event_id":"sha256:f77d6ef7c6dd560daad17626ff8a1ad054e29baf727c9f493f142d69eb6d9d31"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:JMC5TXFTLLV2RWXLSRLRT4AGUA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Casimir effect of electromagnetic field in D-dimensional spherically symmetric cavities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"L.P. Teo","submitted_at":"2010-03-31T07:36:51Z","abstract_excerpt":"Eigenmodes of electromagnetic field with perfectly conducting or infinitely permeable  conditions on the boundary of a D-dimensional spherically symmetric cavity is derived explicitly. It is shown that there are (D-2) polarizations   for TE modes and one polarization  for TM modes, giving rise to a total of (D-1) polarizations.  In case of a D-dimensional ball, the eigenfrequencies of electromagnetic field with perfectly conducting boundary condition coincides with the eigenfrequencies of gauge  one-forms with relative boundary condition; whereas the eigenfrequencies of electromagnetic field w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5986","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fpgkv0v3bT04hXf1M3C88rXfq0s5JwYzkGotCTKXu8F4yq3Pa2XmF0QbNsTJq0832QwBx+UD8xsDvr4W/F65Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:52:55.039064Z"},"content_sha256":"910076028e5fbf5c20aea784e556d90123613fcfc7e41b337e537cc06bfab78f","schema_version":"1.0","event_id":"sha256:910076028e5fbf5c20aea784e556d90123613fcfc7e41b337e537cc06bfab78f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JMC5TXFTLLV2RWXLSRLRT4AGUA/bundle.json","state_url":"https://pith.science/pith/JMC5TXFTLLV2RWXLSRLRT4AGUA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JMC5TXFTLLV2RWXLSRLRT4AGUA/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":"2026-05-28T14:52:55Z","links":{"resolver":"https://pith.science/pith/JMC5TXFTLLV2RWXLSRLRT4AGUA","bundle":"https://pith.science/pith/JMC5TXFTLLV2RWXLSRLRT4AGUA/bundle.json","state":"https://pith.science/pith/JMC5TXFTLLV2RWXLSRLRT4AGUA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JMC5TXFTLLV2RWXLSRLRT4AGUA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JMC5TXFTLLV2RWXLSRLRT4AGUA","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":"92bafef36eb334b748d6b20e920405551a4574d546ac4330c2472f2684e0fca7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-31T07:36:51Z","title_canon_sha256":"1880deef8224d1b3c5925da9d342b1c4ee8f4fccfd00cad539bdddfb5795f8b8"},"schema_version":"1.0","source":{"id":"1003.5986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5986","created_at":"2026-05-18T02:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5986v1","created_at":"2026-05-18T02:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5986","created_at":"2026-05-18T02:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"JMC5TXFTLLV2","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JMC5TXFTLLV2RWXL","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JMC5TXFT","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:910076028e5fbf5c20aea784e556d90123613fcfc7e41b337e537cc06bfab78f","target":"graph","created_at":"2026-05-18T02:33:39Z","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":"Eigenmodes of electromagnetic field with perfectly conducting or infinitely permeable  conditions on the boundary of a D-dimensional spherically symmetric cavity is derived explicitly. It is shown that there are (D-2) polarizations   for TE modes and one polarization  for TM modes, giving rise to a total of (D-1) polarizations.  In case of a D-dimensional ball, the eigenfrequencies of electromagnetic field with perfectly conducting boundary condition coincides with the eigenfrequencies of gauge  one-forms with relative boundary condition; whereas the eigenfrequencies of electromagnetic field w","authors_text":"L.P. Teo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-31T07:36:51Z","title":"Casimir effect of electromagnetic field in D-dimensional spherically symmetric cavities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5986","kind":"arxiv","version":1},"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:f77d6ef7c6dd560daad17626ff8a1ad054e29baf727c9f493f142d69eb6d9d31","target":"record","created_at":"2026-05-18T02:33:39Z","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":"92bafef36eb334b748d6b20e920405551a4574d546ac4330c2472f2684e0fca7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-31T07:36:51Z","title_canon_sha256":"1880deef8224d1b3c5925da9d342b1c4ee8f4fccfd00cad539bdddfb5795f8b8"},"schema_version":"1.0","source":{"id":"1003.5986","kind":"arxiv","version":1}},"canonical_sha256":"4b05d9dcb35aeba8daeb945719f006a02eceb2eacd984b03353fa9b460abf2fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b05d9dcb35aeba8daeb945719f006a02eceb2eacd984b03353fa9b460abf2fa","first_computed_at":"2026-05-18T02:33:39.937876Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:39.937876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jWSogkq5fuQa0bmHATr0tdaQssPqzUXvAikrWONCYeOlSGeUqfWfeqseLMod6dxfyzeMx99nbpoFWm0l5ZMEAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:39.938365Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.5986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f77d6ef7c6dd560daad17626ff8a1ad054e29baf727c9f493f142d69eb6d9d31","sha256:910076028e5fbf5c20aea784e556d90123613fcfc7e41b337e537cc06bfab78f"],"state_sha256":"ad24e37f7d4a43f00224789c061429a22ae597e5257bd93ac43ed6f6b0cfd0fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"30RVg1GZ8ERWyY1Qu9in8myXICEnzsoTgiH6jdcMPP03yKN8TiWxFrDsUYpKoQsPyNIY7NceRLCYoXr/n98YDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:52:55.041015Z","bundle_sha256":"d635f9005ddcea248250e30d1408bc652bb2f10415bb0c4cad924a50cb23abcc"}}