{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:AKC3IMMNH5E624EIWWGGYWHPL3","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":"859dec4dd88e14fd66f59228f0d2b0e3013805e83586bd57146c8e5e3bdc1200","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-09-22T13:03:05Z","title_canon_sha256":"1e0444f50e359cfc31eaad608388fc6ce11a03f26a125b082291d0bc3b23534a"},"schema_version":"1.0","source":{"id":"2209.10976","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.10976","created_at":"2026-07-05T05:00:09Z"},{"alias_kind":"arxiv_version","alias_value":"2209.10976v1","created_at":"2026-07-05T05:00:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.10976","created_at":"2026-07-05T05:00:09Z"},{"alias_kind":"pith_short_12","alias_value":"AKC3IMMNH5E6","created_at":"2026-07-05T05:00:09Z"},{"alias_kind":"pith_short_16","alias_value":"AKC3IMMNH5E624EI","created_at":"2026-07-05T05:00:09Z"},{"alias_kind":"pith_short_8","alias_value":"AKC3IMMN","created_at":"2026-07-05T05:00:09Z"}],"graph_snapshots":[{"event_id":"sha256:1593105ec1a3943b933527cfce703ec3b8ee5b8d1585c81f620165ccbbb8672f","target":"graph","created_at":"2026-07-05T05:00:09Z","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/2209.10976/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we consider the negative energy problem in generalized Vaidya spacetime. We consider several models when we have the naked singularity as a result of the gravitational collapse. In these models we investigate the geodesics for particles with negative energy when the II type of the matter field satisfies the equation of the state $P=\\alpha \\rho$ ($\\alpha \\in [0\\,, 1]$).","authors_text":"Vitalii Vertogradov","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-09-22T13:03:05Z","title":"The Negative Energy in Generalized Vaidya Spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.10976","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:da7513f7396a54d47a20ced7b0871c129b2475e6903ebf4fd3c0e69a4128f7ff","target":"record","created_at":"2026-07-05T05:00:09Z","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":"859dec4dd88e14fd66f59228f0d2b0e3013805e83586bd57146c8e5e3bdc1200","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-09-22T13:03:05Z","title_canon_sha256":"1e0444f50e359cfc31eaad608388fc6ce11a03f26a125b082291d0bc3b23534a"},"schema_version":"1.0","source":{"id":"2209.10976","kind":"arxiv","version":1}},"canonical_sha256":"0285b4318d3f49ed7088b58c6c58ef5ee8e2c99e9a5bd4f962c794236edabef0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0285b4318d3f49ed7088b58c6c58ef5ee8e2c99e9a5bd4f962c794236edabef0","first_computed_at":"2026-07-05T05:00:09.047296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:00:09.047296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xG6HnPKS4KZ39P7oN1tlH1wf32TggvPXCFmThTZzK1NHGUcHxHx/L/8NlEQEj6V5738tB1bbL7m10NkifrY7DA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:00:09.047649Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.10976","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da7513f7396a54d47a20ced7b0871c129b2475e6903ebf4fd3c0e69a4128f7ff","sha256:1593105ec1a3943b933527cfce703ec3b8ee5b8d1585c81f620165ccbbb8672f"],"state_sha256":"7e0dda99fab979b52ab91c9f00224f42167f528b0803076f7f043be3cf942bd4"}