{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:MJ3JHPJS3DPOEZ76P2UZWZZNV3","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":"4b9a6ae23836d10e4fb4b8b04d9408c32f696b9d94d0671ffb2dcd9f1cee2b16","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2005-06-16T18:07:15Z","title_canon_sha256":"fadb6cd456059a838f14d5708ca4b80dddf2f570b5529407033fedb94423de21"},"schema_version":"1.0","source":{"id":"hep-th/0506136","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0506136","created_at":"2026-07-04T15:19:52Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0506136v2","created_at":"2026-07-04T15:19:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0506136","created_at":"2026-07-04T15:19:52Z"},{"alias_kind":"pith_short_12","alias_value":"MJ3JHPJS3DPO","created_at":"2026-07-04T15:19:52Z"},{"alias_kind":"pith_short_16","alias_value":"MJ3JHPJS3DPOEZ76","created_at":"2026-07-04T15:19:52Z"},{"alias_kind":"pith_short_8","alias_value":"MJ3JHPJS","created_at":"2026-07-04T15:19:52Z"}],"graph_snapshots":[{"event_id":"sha256:dccd354d0003e6e6b0cde84a09b32d03c4a7b085eb8441b8cb82eb88fbb42d9e","target":"graph","created_at":"2026-07-04T15:19:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0506136/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The negative energy density of Casimir systems appears to violate general relativity energy conditions. However, one cannot test the averaged null energy condition (ANEC) using standard calculations for perfectly reflecting plates, because the null geodesic would have to pass through the plates, where the calculation breaks down. To avoid this problem, we compute the contribution to ANEC for a geodesic that passes through a hole in a single plate. We consider both Dirichlet and Neumann boundary conditions in two and three space dimensions. We use a Babinet's principle argument to reduce the pr","authors_text":"Ken D. Olum, Noah Graham","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-06-16T18:07:15Z","title":"Plate with a hole obeys the averaged null energy condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0506136","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:fe05104faab631f96f53ddd1ae1eb66cbf1fe59825131893bc275ae176988193","target":"record","created_at":"2026-07-04T15:19:52Z","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":"4b9a6ae23836d10e4fb4b8b04d9408c32f696b9d94d0671ffb2dcd9f1cee2b16","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2005-06-16T18:07:15Z","title_canon_sha256":"fadb6cd456059a838f14d5708ca4b80dddf2f570b5529407033fedb94423de21"},"schema_version":"1.0","source":{"id":"hep-th/0506136","kind":"arxiv","version":2}},"canonical_sha256":"627693bd32d8dee267fe7ea99b672daeec6731a0cae4481b6e82704f06de6d6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"627693bd32d8dee267fe7ea99b672daeec6731a0cae4481b6e82704f06de6d6a","first_computed_at":"2026-07-04T15:19:52.597940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:19:52.597940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n9iROzvIVi5ZndXxh5SlWldK10JdFYPZ97z3gtfTsblPaAVoq9lhHSxkyQx0m4dIXa/V5dpbUfFnwUmpFGcgAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:19:52.598472Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0506136","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe05104faab631f96f53ddd1ae1eb66cbf1fe59825131893bc275ae176988193","sha256:dccd354d0003e6e6b0cde84a09b32d03c4a7b085eb8441b8cb82eb88fbb42d9e"],"state_sha256":"1e4b4b7dbe3bec0cc3dc998905f1de54de2e104c8ea4a6ef18141f953b7b22f6"}