{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:24XHGRNCUEU567IXTDQDJDIIDL","short_pith_number":"pith:24XHGRNC","canonical_record":{"source":{"id":"hep-th/0307067","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-07-07T15:28:40Z","cross_cats_sorted":[],"title_canon_sha256":"c67fca1ff803b2bf930dcc7d490744624dd23cacdf82852e495056f2578d7f70","abstract_canon_sha256":"179d81b810a64595a6a675e5338816c251b556f23654c6d5b75aef5f3dba05a5"},"schema_version":"1.0"},"canonical_sha256":"d72e7345a2a129df7d1798e0348d081afb17c51ced5c3cf80a71a0bb35a1304b","source":{"kind":"arxiv","id":"hep-th/0307067","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0307067","created_at":"2026-05-18T02:35:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0307067v2","created_at":"2026-05-18T02:35:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0307067","created_at":"2026-05-18T02:35:45Z"},{"alias_kind":"pith_short_12","alias_value":"24XHGRNCUEU5","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"24XHGRNCUEU567IX","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"24XHGRNC","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:24XHGRNCUEU567IXTDQDJDIIDL","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0307067","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-07-07T15:28:40Z","cross_cats_sorted":[],"title_canon_sha256":"c67fca1ff803b2bf930dcc7d490744624dd23cacdf82852e495056f2578d7f70","abstract_canon_sha256":"179d81b810a64595a6a675e5338816c251b556f23654c6d5b75aef5f3dba05a5"},"schema_version":"1.0"},"canonical_sha256":"d72e7345a2a129df7d1798e0348d081afb17c51ced5c3cf80a71a0bb35a1304b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:45.063880Z","signature_b64":"pvppvnEiY8MQSfw4m76I9ulgULpkvnXM8j6uTIcA/AcrwpQ4zopwBw589cVAnWBSaOuimKUac66bUXDPuOA/Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d72e7345a2a129df7d1798e0348d081afb17c51ced5c3cf80a71a0bb35a1304b","last_reissued_at":"2026-05-18T02:35:45.063502Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:45.063502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0307067","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":"2026-05-18T02:35:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mBBJn/m3AsRUKuoHD/iWUpI4nJE2e0q2KdW5AuT6UFboGiU8SH8wbWM42bAxVEOMj2p8MhC1VqG9iDFVbxJkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:44:49.722491Z"},"content_sha256":"dfe64aab2c02252e88888a78fa90d76cc384acd6676c5c19575b8f2fbfdf3f7d","schema_version":"1.0","event_id":"sha256:dfe64aab2c02252e88888a78fa90d76cc384acd6676c5c19575b8f2fbfdf3f7d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:24XHGRNCUEU567IXTDQDJDIIDL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Null energy conditions outside a background potential","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Delia Schwartz Perlov, Ken D. Olum","submitted_at":"2003-07-07T15:28:40Z","abstract_excerpt":"We study the Casimir energy of a minimally coupled, real, massless scalar field outside a spherically symmetric background potential. We obtain a general expression for the null energy condition in d dimensions and explicit expressions for a perfectly reflecting spherical boundary in 3+1 and 2+1 dimensions. In these cases, the null energy condition is always violated for radial motion and obeyed for azimuthal motion. Nevertheless, the averaged null energy condition is always obeyed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0307067","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":"2026-05-18T02:35:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4uLGF55TdU8W+K26FFKcxhA1Zsze2r0uzoU9uU/RAJ5dvp+MOkMith8JzqNkydl4fCadXu45xZlKWa5ZshqOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:44:49.722846Z"},"content_sha256":"61a434b6e1a7ec13eec1fc8e715a54fd814a772ed6a0e231bcda57af5227aa53","schema_version":"1.0","event_id":"sha256:61a434b6e1a7ec13eec1fc8e715a54fd814a772ed6a0e231bcda57af5227aa53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/24XHGRNCUEU567IXTDQDJDIIDL/bundle.json","state_url":"https://pith.science/pith/24XHGRNCUEU567IXTDQDJDIIDL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/24XHGRNCUEU567IXTDQDJDIIDL/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":"2026-06-01T03:44:49Z","links":{"resolver":"https://pith.science/pith/24XHGRNCUEU567IXTDQDJDIIDL","bundle":"https://pith.science/pith/24XHGRNCUEU567IXTDQDJDIIDL/bundle.json","state":"https://pith.science/pith/24XHGRNCUEU567IXTDQDJDIIDL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/24XHGRNCUEU567IXTDQDJDIIDL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:24XHGRNCUEU567IXTDQDJDIIDL","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":"179d81b810a64595a6a675e5338816c251b556f23654c6d5b75aef5f3dba05a5","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-07-07T15:28:40Z","title_canon_sha256":"c67fca1ff803b2bf930dcc7d490744624dd23cacdf82852e495056f2578d7f70"},"schema_version":"1.0","source":{"id":"hep-th/0307067","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0307067","created_at":"2026-05-18T02:35:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0307067v2","created_at":"2026-05-18T02:35:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0307067","created_at":"2026-05-18T02:35:45Z"},{"alias_kind":"pith_short_12","alias_value":"24XHGRNCUEU5","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"24XHGRNCUEU567IX","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"24XHGRNC","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:61a434b6e1a7ec13eec1fc8e715a54fd814a772ed6a0e231bcda57af5227aa53","target":"graph","created_at":"2026-05-18T02:35:45Z","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 study the Casimir energy of a minimally coupled, real, massless scalar field outside a spherically symmetric background potential. We obtain a general expression for the null energy condition in d dimensions and explicit expressions for a perfectly reflecting spherical boundary in 3+1 and 2+1 dimensions. In these cases, the null energy condition is always violated for radial motion and obeyed for azimuthal motion. Nevertheless, the averaged null energy condition is always obeyed.","authors_text":"Delia Schwartz Perlov, Ken D. Olum","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-07-07T15:28:40Z","title":"Null energy conditions outside a background potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0307067","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:dfe64aab2c02252e88888a78fa90d76cc384acd6676c5c19575b8f2fbfdf3f7d","target":"record","created_at":"2026-05-18T02:35:45Z","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":"179d81b810a64595a6a675e5338816c251b556f23654c6d5b75aef5f3dba05a5","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-07-07T15:28:40Z","title_canon_sha256":"c67fca1ff803b2bf930dcc7d490744624dd23cacdf82852e495056f2578d7f70"},"schema_version":"1.0","source":{"id":"hep-th/0307067","kind":"arxiv","version":2}},"canonical_sha256":"d72e7345a2a129df7d1798e0348d081afb17c51ced5c3cf80a71a0bb35a1304b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d72e7345a2a129df7d1798e0348d081afb17c51ced5c3cf80a71a0bb35a1304b","first_computed_at":"2026-05-18T02:35:45.063502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:45.063502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pvppvnEiY8MQSfw4m76I9ulgULpkvnXM8j6uTIcA/AcrwpQ4zopwBw589cVAnWBSaOuimKUac66bUXDPuOA/Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:45.063880Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0307067","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfe64aab2c02252e88888a78fa90d76cc384acd6676c5c19575b8f2fbfdf3f7d","sha256:61a434b6e1a7ec13eec1fc8e715a54fd814a772ed6a0e231bcda57af5227aa53"],"state_sha256":"76c99ed4d1098bdced3117a7094dbb164b395a47951a70997a843ee9166098da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GZkDuvx8mVCCMzwYKbx00u6x/G5fFVV/d5qoYduoca66Y4BtWrEPFHGR/WqB+hGXkaIiJk+gL6npPQ60DWliBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T03:44:49.725055Z","bundle_sha256":"e9bae71b3a2a2fd9fdcfb3c77e72d78fe40fd44fb04cd2d40d09a2f2c17339ad"}}