{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:GOPKELYDFUNCNXB7UVAUG4CB7O","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":"4b8016e80cb4b119ccd2cf7da1d038086226ac5e80d74b6f54e9dfa805b1d986","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"1994-08-30T17:18:15Z","title_canon_sha256":"941cc8dc4fbe3beee8f3c4d247e64fa6086636a13544c985447d6e97353a0513"},"schema_version":"1.0","source":{"id":"hep-th/9408169","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9408169","created_at":"2026-07-04T15:57:50Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9408169v3","created_at":"2026-07-04T15:57:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9408169","created_at":"2026-07-04T15:57:50Z"},{"alias_kind":"pith_short_12","alias_value":"GOPKELYDFUNC","created_at":"2026-07-04T15:57:50Z"},{"alias_kind":"pith_short_16","alias_value":"GOPKELYDFUNCNXB7","created_at":"2026-07-04T15:57:50Z"},{"alias_kind":"pith_short_8","alias_value":"GOPKELYD","created_at":"2026-07-04T15:57:50Z"}],"graph_snapshots":[{"event_id":"sha256:ce1b86eb8ac1f9f03386e5e843670c7a1a4c64cab71ef8aa3e6623be87aa79d8","target":"graph","created_at":"2026-07-04T15:57:50Z","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/hep-th/9408169/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Some years ago Dray and 't Hooft found the necessary and sufficient conditions to introduce a gravitational shock wave in a particular class of vacuum solutions to Einstein's equations. We extend this work to cover cases where non-vanishing matter fields and cosmological constant are present. The sources of gravitational waves are massless particles moving along a null surface such as a horizon in the case of black holes. After we discuss the general case we give many explicit examples. Among them are the $d$-dimensional charged black hole (that includes the 4-dimensional Reissner-Nordstr\\\"om ","authors_text":"Konstadinos Sfetsos","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-08-30T17:18:15Z","title":"On Gravitational Shock Waves in Curved Spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9408169","kind":"arxiv","version":3},"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":"sha256:82cc608b42a6936e000a2cccad376af6a54c6842fedea160487bf89b1df69bc6","target":"record","created_at":"2026-07-04T15:57:50Z","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":"4b8016e80cb4b119ccd2cf7da1d038086226ac5e80d74b6f54e9dfa805b1d986","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"1994-08-30T17:18:15Z","title_canon_sha256":"941cc8dc4fbe3beee8f3c4d247e64fa6086636a13544c985447d6e97353a0513"},"schema_version":"1.0","source":{"id":"hep-th/9408169","kind":"arxiv","version":3}},"canonical_sha256":"339ea22f032d1a26dc3fa541437041fb922ba44279aa12a81a385b13f3ece3cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"339ea22f032d1a26dc3fa541437041fb922ba44279aa12a81a385b13f3ece3cc","first_computed_at":"2026-07-04T15:57:50.440036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:57:50.440036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yn+wgd0Qa87jjsM019RgpHLzUkmIWKYmuJMoaPbEaDgM6wHeYva1i3QmvEnsfZ/Ah6wEGa6Qug5gEYPhNmd1DA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:57:50.440390Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9408169","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82cc608b42a6936e000a2cccad376af6a54c6842fedea160487bf89b1df69bc6","sha256:ce1b86eb8ac1f9f03386e5e843670c7a1a4c64cab71ef8aa3e6623be87aa79d8"],"state_sha256":"e22cb5ef82a297053d58a4bd19673e5889fce3386fe2e489a883a629a26de649"}