{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:PCXULLJZ5B25Y7TZRH72NW57XB","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":"ef448f10bd3ab5e034573f1a6bd686a4b58743014011e857ebce728a17e1752e","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-12-10T10:44:17Z","title_canon_sha256":"b561106e5f3b95113d4cc4bf8479541539e02c05f75c30b15b7d21df1cc25316"},"schema_version":"1.0","source":{"id":"gr-qc/9812032","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9812032","created_at":"2026-05-18T01:08:06Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9812032v2","created_at":"2026-05-18T01:08:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9812032","created_at":"2026-05-18T01:08:06Z"},{"alias_kind":"pith_short_12","alias_value":"PCXULLJZ5B25","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"PCXULLJZ5B25Y7TZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"PCXULLJZ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:2e666f02b6b05c54c7d91f38575f73f049ec758c4f5ef3e9f11d6ef1ba7bfd58","target":"graph","created_at":"2026-05-18T01:08:06Z","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":"Certain exotic phenomena in general relativity, such as backward time travel, appear to require the presence of matter with negative energy. While quantum fields are a possible source of negative energy densities, there are lower bounds - known as quantum inequalities - that constrain their duration and magnitude. In this paper, we derive new quantum inequalities for scalar fields in static space-times, as measured by static observers with a choice of sampling function. Unlike those previously derived by Pfenning and Ford, our results do not assume any specific sampling function. We then calcu","authors_text":"Christopher J. Fewster, Edward Teo","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1998-12-10T10:44:17Z","title":"Bounds on negative energy densities in static space-times"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9812032","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":"sha256:52ed0c09a3bf7256dace9145b65504086e299fb52de2172b42db404eedd9b223","target":"record","created_at":"2026-05-18T01:08:06Z","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":"ef448f10bd3ab5e034573f1a6bd686a4b58743014011e857ebce728a17e1752e","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-12-10T10:44:17Z","title_canon_sha256":"b561106e5f3b95113d4cc4bf8479541539e02c05f75c30b15b7d21df1cc25316"},"schema_version":"1.0","source":{"id":"gr-qc/9812032","kind":"arxiv","version":2}},"canonical_sha256":"78af45ad39e875dc7e7989ffa6dbbfb87415a455891f22829ce5050974f94ba8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78af45ad39e875dc7e7989ffa6dbbfb87415a455891f22829ce5050974f94ba8","first_computed_at":"2026-05-18T01:08:06.205339Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:06.205339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n1vt+Gol8RXMO7ttmahWuEMnyBJpdmaQZFk5EBWHf3IkuXhhonXyMOGz6gQMpO1vjWtArFZhEH/SjM6YED2GBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:06.205731Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9812032","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52ed0c09a3bf7256dace9145b65504086e299fb52de2172b42db404eedd9b223","sha256:2e666f02b6b05c54c7d91f38575f73f049ec758c4f5ef3e9f11d6ef1ba7bfd58"],"state_sha256":"c375d9d660f20264c3953933b2127669a23bb1b192a0cbb0dfa127f3eb8648d9"}