{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:NYJ24NWFCZNC4KGV45AMNX4A7O","short_pith_number":"pith:NYJ24NWF","canonical_record":{"source":{"id":"gr-qc/0204031","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-04-07T17:46:22Z","cross_cats_sorted":[],"title_canon_sha256":"b4fcbc609fce3d8b9165daf273d1706b8238fcd3c00c722067a5f02dddc6affc","abstract_canon_sha256":"7aae43c0135358c63e78f5f4a906619cc17bbea4adfb420f32458304b4765724"},"schema_version":"1.0"},"canonical_sha256":"6e13ae36c5165a2e28d5e740c6df80fb93c2e15170715e49b1f3d0029daa3cbf","source":{"kind":"arxiv","id":"gr-qc/0204031","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0204031","created_at":"2026-07-04T16:33:43Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0204031v1","created_at":"2026-07-04T16:33:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0204031","created_at":"2026-07-04T16:33:43Z"},{"alias_kind":"pith_short_12","alias_value":"NYJ24NWFCZNC","created_at":"2026-07-04T16:33:43Z"},{"alias_kind":"pith_short_16","alias_value":"NYJ24NWFCZNC4KGV","created_at":"2026-07-04T16:33:43Z"},{"alias_kind":"pith_short_8","alias_value":"NYJ24NWF","created_at":"2026-07-04T16:33:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:NYJ24NWFCZNC4KGV45AMNX4A7O","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0204031","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-04-07T17:46:22Z","cross_cats_sorted":[],"title_canon_sha256":"b4fcbc609fce3d8b9165daf273d1706b8238fcd3c00c722067a5f02dddc6affc","abstract_canon_sha256":"7aae43c0135358c63e78f5f4a906619cc17bbea4adfb420f32458304b4765724"},"schema_version":"1.0"},"canonical_sha256":"6e13ae36c5165a2e28d5e740c6df80fb93c2e15170715e49b1f3d0029daa3cbf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:33:43.094254Z","signature_b64":"UD3hswBdKUxLWoeoJM75lNpHLXQn2q6RbldJtbZZZgFzvAn1ULoaIpc7+wCdZJCoXHN7AzAZZwunJFxCMLl+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e13ae36c5165a2e28d5e740c6df80fb93c2e15170715e49b1f3d0029daa3cbf","last_reissued_at":"2026-07-04T16:33:43.093918Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:33:43.093918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0204031","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":"2026-07-04T16:33:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7cUUCfiYM73bTZSK/KwrBhoSC7SqjliQudliux8vE7TwP3zcZJ+Qhdn/bN8zfGtmztBp4sWb0W/JkyvZslb3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T12:41:49.901810Z"},"content_sha256":"503b0b98038e9cf8db11f2d597d4c69e464ee6b2bc1181ed0820d8275b712f70","schema_version":"1.0","event_id":"sha256:503b0b98038e9cf8db11f2d597d4c69e464ee6b2bc1181ed0820d8275b712f70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:NYJ24NWFCZNC4KGV45AMNX4A7O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vacuum polarization in the spacetime of charged nonlinear black hole","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jerzy Matyjasek, Waldemar Berej","submitted_at":"2002-04-07T17:46:22Z","abstract_excerpt":"Building on general formulas obtained from the approximate renormalized effective action, the approximate stress-energy tensor of the quantized massive scalar field with arbitrary curvature coupling in the spacetime of charged black hole being a solution of coupled equations of nonlinear electrodynamics and general relativity is constructed and analysed. It is shown that in a few limiting cases, the analytical expressions relating obtained tensor to the general renormalized stress-energy tensor evaluated in the geometry of the Reissner-Nordstr\\\"{o}m black hole could be derived. A detailed nume"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0204031","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0204031/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:33:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ec9CKpjTMtkTxujwGF8MCphGcW30HaIgOECZ7qRZQ11eXpUqthjHPiPIUiMqqUGvVT1ozbw55QfpXGnHyZMcAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T12:41:49.902525Z"},"content_sha256":"de21d55c7136641c474d1f207e7f3499f6647917f6d57283d292dbbb1fe9a24d","schema_version":"1.0","event_id":"sha256:de21d55c7136641c474d1f207e7f3499f6647917f6d57283d292dbbb1fe9a24d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NYJ24NWFCZNC4KGV45AMNX4A7O/bundle.json","state_url":"https://pith.science/pith/NYJ24NWFCZNC4KGV45AMNX4A7O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NYJ24NWFCZNC4KGV45AMNX4A7O/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":"2026-08-11T12:41:49Z","links":{"resolver":"https://pith.science/pith/NYJ24NWFCZNC4KGV45AMNX4A7O","bundle":"https://pith.science/pith/NYJ24NWFCZNC4KGV45AMNX4A7O/bundle.json","state":"https://pith.science/pith/NYJ24NWFCZNC4KGV45AMNX4A7O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NYJ24NWFCZNC4KGV45AMNX4A7O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:NYJ24NWFCZNC4KGV45AMNX4A7O","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":"7aae43c0135358c63e78f5f4a906619cc17bbea4adfb420f32458304b4765724","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-04-07T17:46:22Z","title_canon_sha256":"b4fcbc609fce3d8b9165daf273d1706b8238fcd3c00c722067a5f02dddc6affc"},"schema_version":"1.0","source":{"id":"gr-qc/0204031","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0204031","created_at":"2026-07-04T16:33:43Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0204031v1","created_at":"2026-07-04T16:33:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0204031","created_at":"2026-07-04T16:33:43Z"},{"alias_kind":"pith_short_12","alias_value":"NYJ24NWFCZNC","created_at":"2026-07-04T16:33:43Z"},{"alias_kind":"pith_short_16","alias_value":"NYJ24NWFCZNC4KGV","created_at":"2026-07-04T16:33:43Z"},{"alias_kind":"pith_short_8","alias_value":"NYJ24NWF","created_at":"2026-07-04T16:33:43Z"}],"graph_snapshots":[{"event_id":"sha256:de21d55c7136641c474d1f207e7f3499f6647917f6d57283d292dbbb1fe9a24d","target":"graph","created_at":"2026-07-04T16:33:43Z","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/gr-qc/0204031/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Building on general formulas obtained from the approximate renormalized effective action, the approximate stress-energy tensor of the quantized massive scalar field with arbitrary curvature coupling in the spacetime of charged black hole being a solution of coupled equations of nonlinear electrodynamics and general relativity is constructed and analysed. It is shown that in a few limiting cases, the analytical expressions relating obtained tensor to the general renormalized stress-energy tensor evaluated in the geometry of the Reissner-Nordstr\\\"{o}m black hole could be derived. A detailed nume","authors_text":"Jerzy Matyjasek, Waldemar Berej","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2002-04-07T17:46:22Z","title":"Vacuum polarization in the spacetime of charged nonlinear black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0204031","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":"sha256:503b0b98038e9cf8db11f2d597d4c69e464ee6b2bc1181ed0820d8275b712f70","target":"record","created_at":"2026-07-04T16:33:43Z","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":"7aae43c0135358c63e78f5f4a906619cc17bbea4adfb420f32458304b4765724","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-04-07T17:46:22Z","title_canon_sha256":"b4fcbc609fce3d8b9165daf273d1706b8238fcd3c00c722067a5f02dddc6affc"},"schema_version":"1.0","source":{"id":"gr-qc/0204031","kind":"arxiv","version":1}},"canonical_sha256":"6e13ae36c5165a2e28d5e740c6df80fb93c2e15170715e49b1f3d0029daa3cbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e13ae36c5165a2e28d5e740c6df80fb93c2e15170715e49b1f3d0029daa3cbf","first_computed_at":"2026-07-04T16:33:43.093918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:33:43.093918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UD3hswBdKUxLWoeoJM75lNpHLXQn2q6RbldJtbZZZgFzvAn1ULoaIpc7+wCdZJCoXHN7AzAZZwunJFxCMLl+Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:33:43.094254Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0204031","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:503b0b98038e9cf8db11f2d597d4c69e464ee6b2bc1181ed0820d8275b712f70","sha256:de21d55c7136641c474d1f207e7f3499f6647917f6d57283d292dbbb1fe9a24d"],"state_sha256":"50f6b49841a9d0c4b1f5d8e82ed079753aa49eecbfb62399f709336fdd6d27a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qShDQVFE4QU/5lbH3SkdmvrN3/RUAm+OG/ZR/5ICp07jK537NxUYg0/IirD/h4TiTCLyJ3LdSA1Cwd1h+dO0BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T12:41:49.907092Z","bundle_sha256":"35b04364208f46ebb5532734d4319e68b1eed7ef42eb28b94bdf8caead36e622"}}