{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:ZU6T6U7K5TM74UQ6K7JXXLM5CT","short_pith_number":"pith:ZU6T6U7K","canonical_record":{"source":{"id":"math-ph/0602042","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2006-02-16T16:54:06Z","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"title_canon_sha256":"e4f62698724bc7cc4609854fb61cd3bc36e8284d3ee4ecf6b0d7275546138c5f","abstract_canon_sha256":"51541f05b7fb7eb9cc35c7fa394e81c67984d107b22d39f3e91cb5df949f944d"},"schema_version":"1.0"},"canonical_sha256":"cd3d3f53eaecd9fe521e57d37bad9d14c97d64b23a6cbc512b039b821edb5785","source":{"kind":"arxiv","id":"math-ph/0602042","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0602042","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0602042v1","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0602042","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZU6T6U7K5TM7","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"ZU6T6U7K5TM74UQ6","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"ZU6T6U7K","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:ZU6T6U7K5TM74UQ6K7JXXLM5CT","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0602042","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2006-02-16T16:54:06Z","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"title_canon_sha256":"e4f62698724bc7cc4609854fb61cd3bc36e8284d3ee4ecf6b0d7275546138c5f","abstract_canon_sha256":"51541f05b7fb7eb9cc35c7fa394e81c67984d107b22d39f3e91cb5df949f944d"},"schema_version":"1.0"},"canonical_sha256":"cd3d3f53eaecd9fe521e57d37bad9d14c97d64b23a6cbc512b039b821edb5785","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:32.943641Z","signature_b64":"WsAI8zQt5gHR3yc08z9NquIraBHkxkD9J6vYRH9gktqC0MTnnJstqNyxA4nrU7LvgBJ65MsK8wCT4H7Z8ooLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd3d3f53eaecd9fe521e57d37bad9d14c97d64b23a6cbc512b039b821edb5785","last_reissued_at":"2026-05-18T01:38:32.942904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:32.942904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0602042","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":"2026-05-18T01:38:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wCUvYHrwwp8GrvCd4RHXIR1xGSsAl2Nkw5zUaPbZTYxJGS+kxVhk4Vy21vVyOd/VBs3wo2vXYe2AumhWrBArAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T02:01:09.173734Z"},"content_sha256":"dbd7c2c215ead25be37e2fd78ea5963855f8a3ea8a5bfdc8898886584cd5800f","schema_version":"1.0","event_id":"sha256:dbd7c2c215ead25be37e2fd78ea5963855f8a3ea8a5bfdc8898886584cd5800f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:ZU6T6U7K5TM74UQ6K7JXXLM5CT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Energy Inequalities and local covariance I: Globally hyperbolic spacetimes","license":"","headline":"","cross_cats":["gr-qc","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Christopher J. Fewster, Michael J. Pfenning","submitted_at":"2006-02-16T16:54:06Z","abstract_excerpt":"We begin a systematic study of Quantum Energy Inequalities (QEIs) in relation to local covariance. We define notions of locally covariant QEIs of both 'absolute' and 'difference' types and show that existing QEIs satisfy these conditions. Local covariance permits us to place constraints on the renormalised stress-energy tensor in one spacetime using QEIs derived in another, in subregions where the two spacetimes are isometric. This is of particular utility where one of the two spacetimes exhibits a high degree of symmetry and the QEIs are available in simple closed form. Various general applic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0602042","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":"2026-05-18T01:38:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bm1IDGMfV9wda/jX89kxmRBl8rj0guRXqvrPVkdd+F64FSCjYjtlHgBf5Eg/g0vMaermp+IzqZPdKah5yXhEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T02:01:09.174282Z"},"content_sha256":"d7fb75ae23629d97db5ffb0f70a200254dcaf245167465b9980e01a55360535a","schema_version":"1.0","event_id":"sha256:d7fb75ae23629d97db5ffb0f70a200254dcaf245167465b9980e01a55360535a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZU6T6U7K5TM74UQ6K7JXXLM5CT/bundle.json","state_url":"https://pith.science/pith/ZU6T6U7K5TM74UQ6K7JXXLM5CT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZU6T6U7K5TM74UQ6K7JXXLM5CT/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":"2026-06-05T02:01:09Z","links":{"resolver":"https://pith.science/pith/ZU6T6U7K5TM74UQ6K7JXXLM5CT","bundle":"https://pith.science/pith/ZU6T6U7K5TM74UQ6K7JXXLM5CT/bundle.json","state":"https://pith.science/pith/ZU6T6U7K5TM74UQ6K7JXXLM5CT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZU6T6U7K5TM74UQ6K7JXXLM5CT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ZU6T6U7K5TM74UQ6K7JXXLM5CT","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":"51541f05b7fb7eb9cc35c7fa394e81c67984d107b22d39f3e91cb5df949f944d","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2006-02-16T16:54:06Z","title_canon_sha256":"e4f62698724bc7cc4609854fb61cd3bc36e8284d3ee4ecf6b0d7275546138c5f"},"schema_version":"1.0","source":{"id":"math-ph/0602042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0602042","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0602042v1","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0602042","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZU6T6U7K5TM7","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"ZU6T6U7K5TM74UQ6","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"ZU6T6U7K","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:d7fb75ae23629d97db5ffb0f70a200254dcaf245167465b9980e01a55360535a","target":"graph","created_at":"2026-05-18T01:38:32Z","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 begin a systematic study of Quantum Energy Inequalities (QEIs) in relation to local covariance. We define notions of locally covariant QEIs of both 'absolute' and 'difference' types and show that existing QEIs satisfy these conditions. Local covariance permits us to place constraints on the renormalised stress-energy tensor in one spacetime using QEIs derived in another, in subregions where the two spacetimes are isometric. This is of particular utility where one of the two spacetimes exhibits a high degree of symmetry and the QEIs are available in simple closed form. Various general applic","authors_text":"Christopher J. Fewster, Michael J. Pfenning","cross_cats":["gr-qc","hep-th","math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2006-02-16T16:54:06Z","title":"Quantum Energy Inequalities and local covariance I: Globally hyperbolic spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0602042","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:dbd7c2c215ead25be37e2fd78ea5963855f8a3ea8a5bfdc8898886584cd5800f","target":"record","created_at":"2026-05-18T01:38:32Z","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":"51541f05b7fb7eb9cc35c7fa394e81c67984d107b22d39f3e91cb5df949f944d","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2006-02-16T16:54:06Z","title_canon_sha256":"e4f62698724bc7cc4609854fb61cd3bc36e8284d3ee4ecf6b0d7275546138c5f"},"schema_version":"1.0","source":{"id":"math-ph/0602042","kind":"arxiv","version":1}},"canonical_sha256":"cd3d3f53eaecd9fe521e57d37bad9d14c97d64b23a6cbc512b039b821edb5785","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd3d3f53eaecd9fe521e57d37bad9d14c97d64b23a6cbc512b039b821edb5785","first_computed_at":"2026-05-18T01:38:32.942904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:32.942904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WsAI8zQt5gHR3yc08z9NquIraBHkxkD9J6vYRH9gktqC0MTnnJstqNyxA4nrU7LvgBJ65MsK8wCT4H7Z8ooLCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:32.943641Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0602042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbd7c2c215ead25be37e2fd78ea5963855f8a3ea8a5bfdc8898886584cd5800f","sha256:d7fb75ae23629d97db5ffb0f70a200254dcaf245167465b9980e01a55360535a"],"state_sha256":"031e0f6a627b13b5edf42303e04cf1d0f3f827ff4edaab7e8daf2dc30bdc576b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RX9YibxwbUk359JTMql8dtDNCL8JhqbgjBNyX1AWcK3fbXe0KY3AdrZHRRsl6O4h5hPKjJJswGB9Z0HFo+0lBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T02:01:09.176917Z","bundle_sha256":"01df92d7cd5c47b136c2b86d4bf82d076737ffd29660d58d2f6d427fb7729893"}}