{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:RI5OC6TELVX6BU4GO4FOBXR7IG","short_pith_number":"pith:RI5OC6TE","canonical_record":{"source":{"id":"gr-qc/9604007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-04-03T00:14:08Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"35840bde665ccba351bc8457046f0ec02f2b2d7c6c66ba8d5dc72143c3a44479","abstract_canon_sha256":"514c776aa1004f7e752a66d4e20e895054e1e70432d767c7b33184fb92eb3d1e"},"schema_version":"1.0"},"canonical_sha256":"8a3ae17a645d6fe0d386770ae0de3f41942c765ad89fdf60ebff4597d8e3f13a","source":{"kind":"arxiv","id":"gr-qc/9604007","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9604007","created_at":"2026-05-18T04:13:47Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9604007v1","created_at":"2026-05-18T04:13:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9604007","created_at":"2026-05-18T04:13:47Z"},{"alias_kind":"pith_short_12","alias_value":"RI5OC6TELVX6","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"RI5OC6TELVX6BU4G","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"RI5OC6TE","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:RI5OC6TELVX6BU4GO4FOBXR7IG","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9604007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-04-03T00:14:08Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"35840bde665ccba351bc8457046f0ec02f2b2d7c6c66ba8d5dc72143c3a44479","abstract_canon_sha256":"514c776aa1004f7e752a66d4e20e895054e1e70432d767c7b33184fb92eb3d1e"},"schema_version":"1.0"},"canonical_sha256":"8a3ae17a645d6fe0d386770ae0de3f41942c765ad89fdf60ebff4597d8e3f13a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:47.783618Z","signature_b64":"DSRaH/EED5J4R8ToquG9782BhSFOka7UnmDAxUrh24piIdjIslyIWtqHT5iLDvXr5dceuHU0F2q7MgXAuzLzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a3ae17a645d6fe0d386770ae0de3f41942c765ad89fdf60ebff4597d8e3f13a","last_reissued_at":"2026-05-18T04:13:47.783238Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:47.783238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9604007","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":"2026-05-18T04:13:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RNKGx7I/APCKYxdzHS9DgUMGd8gglxopsGSnqnuxYJpWTGQHsfSZxj+O7SbWBdpfszGTk3SW29VYpjQWahZQCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T02:32:17.891308Z"},"content_sha256":"db2fa25fc3ce4f1fbe352ae578e5cda2f784674dce7c1357dc6144ae384288a4","schema_version":"1.0","event_id":"sha256:db2fa25fc3ce4f1fbe352ae578e5cda2f784674dce7c1357dc6144ae384288a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:RI5OC6TELVX6BU4GO4FOBXR7IG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational vacuum polarization I: Energy conditions in the Hartle--Hawking vacuum","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Matt Visser (Washington University)","submitted_at":"1996-04-03T00:14:08Z","abstract_excerpt":"It is well-known that gravitationally induced vacuum polarization often violates the point-wise energy conditions and sometimes violates the averaged energy conditions. In this paper I begin a systematic attack on the question of where and by how much the various energy conditions are violated. I work in the test-field limit, and focus on conformally coupled massless scalar fields in Schwarzschild spacetime, using the Hartle--Hawking vacuum. I invoke a mixture of analytical and numerical techniques, and critically compare the qualitative behaviour to be expected from the Page approximation wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9604007","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":"2026-05-18T04:13:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zk2ujlBOlxDQWFf8FfJNDsHslSPlB/oeotoiS0GS4Vz5tidOrmlhxxwsjJqO6xZcGdeStrA0qYg9vwiaPgTOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T02:32:17.891914Z"},"content_sha256":"0838041c2f588e75af3924494bac6586b29ea9f2094962363d8f35ef49a9644c","schema_version":"1.0","event_id":"sha256:0838041c2f588e75af3924494bac6586b29ea9f2094962363d8f35ef49a9644c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RI5OC6TELVX6BU4GO4FOBXR7IG/bundle.json","state_url":"https://pith.science/pith/RI5OC6TELVX6BU4GO4FOBXR7IG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RI5OC6TELVX6BU4GO4FOBXR7IG/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":"2026-06-30T02:32:17Z","links":{"resolver":"https://pith.science/pith/RI5OC6TELVX6BU4GO4FOBXR7IG","bundle":"https://pith.science/pith/RI5OC6TELVX6BU4GO4FOBXR7IG/bundle.json","state":"https://pith.science/pith/RI5OC6TELVX6BU4GO4FOBXR7IG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RI5OC6TELVX6BU4GO4FOBXR7IG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:RI5OC6TELVX6BU4GO4FOBXR7IG","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":"514c776aa1004f7e752a66d4e20e895054e1e70432d767c7b33184fb92eb3d1e","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"1996-04-03T00:14:08Z","title_canon_sha256":"35840bde665ccba351bc8457046f0ec02f2b2d7c6c66ba8d5dc72143c3a44479"},"schema_version":"1.0","source":{"id":"gr-qc/9604007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9604007","created_at":"2026-05-18T04:13:47Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9604007v1","created_at":"2026-05-18T04:13:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9604007","created_at":"2026-05-18T04:13:47Z"},{"alias_kind":"pith_short_12","alias_value":"RI5OC6TELVX6","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"RI5OC6TELVX6BU4G","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"RI5OC6TE","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:0838041c2f588e75af3924494bac6586b29ea9f2094962363d8f35ef49a9644c","target":"graph","created_at":"2026-05-18T04:13:47Z","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":"It is well-known that gravitationally induced vacuum polarization often violates the point-wise energy conditions and sometimes violates the averaged energy conditions. In this paper I begin a systematic attack on the question of where and by how much the various energy conditions are violated. I work in the test-field limit, and focus on conformally coupled massless scalar fields in Schwarzschild spacetime, using the Hartle--Hawking vacuum. I invoke a mixture of analytical and numerical techniques, and critically compare the qualitative behaviour to be expected from the Page approximation wit","authors_text":"Matt Visser (Washington University)","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1996-04-03T00:14:08Z","title":"Gravitational vacuum polarization I: Energy conditions in the Hartle--Hawking vacuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9604007","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:db2fa25fc3ce4f1fbe352ae578e5cda2f784674dce7c1357dc6144ae384288a4","target":"record","created_at":"2026-05-18T04:13:47Z","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":"514c776aa1004f7e752a66d4e20e895054e1e70432d767c7b33184fb92eb3d1e","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"1996-04-03T00:14:08Z","title_canon_sha256":"35840bde665ccba351bc8457046f0ec02f2b2d7c6c66ba8d5dc72143c3a44479"},"schema_version":"1.0","source":{"id":"gr-qc/9604007","kind":"arxiv","version":1}},"canonical_sha256":"8a3ae17a645d6fe0d386770ae0de3f41942c765ad89fdf60ebff4597d8e3f13a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a3ae17a645d6fe0d386770ae0de3f41942c765ad89fdf60ebff4597d8e3f13a","first_computed_at":"2026-05-18T04:13:47.783238Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:47.783238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DSRaH/EED5J4R8ToquG9782BhSFOka7UnmDAxUrh24piIdjIslyIWtqHT5iLDvXr5dceuHU0F2q7MgXAuzLzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:47.783618Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9604007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db2fa25fc3ce4f1fbe352ae578e5cda2f784674dce7c1357dc6144ae384288a4","sha256:0838041c2f588e75af3924494bac6586b29ea9f2094962363d8f35ef49a9644c"],"state_sha256":"eb15c1e945d09fdedf00369637d347f162c53681ee571aab8bc36477330f3a6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yXkkxCHo1Z1AP3mCloG2GVJrhfbo5oS3sMtuTiVsaXSBLhfrJyrtEF3trKNUBeUKs8Hrcziauz6U7jOEaV8HCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T02:32:17.894444Z","bundle_sha256":"44db571561974e30b5cb46b5a1e273b6ff30fd0a47a2400b367e5eb47adf2c3f"}}