{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:NDBKS7D65KVUWEAEQ7TFXXB3VT","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":"e806b219e046b9faf9aa37c5ece3cd70687b939bb03325e9689ac28de9d42b04","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-06-03T14:44:00Z","title_canon_sha256":"078dc2cb59f9db7305244f7b169566f98b446f36481fa384f09864adb01757c7"},"schema_version":"1.0","source":{"id":"hep-th/9706021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9706021","created_at":"2026-07-04T16:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9706021v1","created_at":"2026-07-04T16:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9706021","created_at":"2026-07-04T16:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"NDBKS7D65KVU","created_at":"2026-07-04T16:05:36Z"},{"alias_kind":"pith_short_16","alias_value":"NDBKS7D65KVUWEAE","created_at":"2026-07-04T16:05:36Z"},{"alias_kind":"pith_short_8","alias_value":"NDBKS7D6","created_at":"2026-07-04T16:05:36Z"}],"graph_snapshots":[{"event_id":"sha256:528fceeb171b458fcc4693baa0e7d30e4c84aaad0a8c46154a96e727d8da1c8d","target":"graph","created_at":"2026-07-04T16:05:36Z","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/9706021/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we consider space-times containing matter expanding or contracting according to a time-dependent scale factor. Cosmologies with vanishing, positive or negative cosmological constant are considered. In the case of vanishing or negative cosmological constant open and closed spatial surfaces are solutions while in the case of positive cosmological constant only closed surfaces exist. The gravitational field is solved explicitly in the case of 1 or 2 particles, 1 black-hole, and 1 black-hole vacuum state.","authors_text":"M. Welling","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-06-03T14:44:00Z","title":"Explicit solutions for Point Particles and Black Holes in spaces of constant curvature in 2+1-D Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9706021","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":"sha256:2d7a26b5df674eaf1bd3c0e02d76a47d9825bcc437fbc14f4e9d8d53765cf2d5","target":"record","created_at":"2026-07-04T16:05:36Z","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":"e806b219e046b9faf9aa37c5ece3cd70687b939bb03325e9689ac28de9d42b04","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-06-03T14:44:00Z","title_canon_sha256":"078dc2cb59f9db7305244f7b169566f98b446f36481fa384f09864adb01757c7"},"schema_version":"1.0","source":{"id":"hep-th/9706021","kind":"arxiv","version":1}},"canonical_sha256":"68c2a97c7eeaab4b100487e65bdc3bacfece950a0f2459facdb072cca4e15732","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68c2a97c7eeaab4b100487e65bdc3bacfece950a0f2459facdb072cca4e15732","first_computed_at":"2026-07-04T16:05:36.781903Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:05:36.781903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9McjovF/eRbf9RldMs664SrjQneAIF3SaIx3KDSC7C8f7103ovQMqlWSJjON42tp5x8fjSWdrtKxtTXeg6+jAw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:05:36.782241Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9706021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d7a26b5df674eaf1bd3c0e02d76a47d9825bcc437fbc14f4e9d8d53765cf2d5","sha256:528fceeb171b458fcc4693baa0e7d30e4c84aaad0a8c46154a96e727d8da1c8d"],"state_sha256":"7556936a11d692bdbcb4f767b6d49f94fdffc0e406ab3c7891092ebbbd256118"}