{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:NTPRY2GHGY6ORT5NKMFNSE7AMI","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":"1b0a78fcb2831dfe054de2f2402a3af659c332a3968fd813d8a763d4de53f2e1","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2004-08-17T12:08:47Z","title_canon_sha256":"1189cb4d48f27a6ac80bde3e690e74f872fc54d3a430547421b14a54cc167f15"},"schema_version":"1.0","source":{"id":"gr-qc/0408053","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0408053","created_at":"2026-05-18T01:39:22Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0408053v1","created_at":"2026-05-18T01:39:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0408053","created_at":"2026-05-18T01:39:22Z"},{"alias_kind":"pith_short_12","alias_value":"NTPRY2GHGY6O","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"NTPRY2GHGY6ORT5N","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"NTPRY2GH","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:640947f0c6dc7f4d3eec943069eefd38bc141f7593ed267a6add3f64dd4adc51","target":"graph","created_at":"2026-05-18T01:39:22Z","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":"An introduction to solutions of the Einstein equations defining cosmological models with accelerated expansion is given. Connections between mathematical and physical issues are explored. Theorems which have been proved for solutions with positive cosmological constant or nonlinear scalar fields are reviewed. Some remarks are made on more exotic models such as the Chaplygin gas, tachyons and $k$-essence.","authors_text":"Alan D. Rendall","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2004-08-17T12:08:47Z","title":"Mathematical properties of cosmological models with accelerated expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0408053","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:dfdabc2974c6fa4841f6465d84be32e5d03cd9c8ab65350c5406a5f1e91005c3","target":"record","created_at":"2026-05-18T01:39:22Z","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":"1b0a78fcb2831dfe054de2f2402a3af659c332a3968fd813d8a763d4de53f2e1","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2004-08-17T12:08:47Z","title_canon_sha256":"1189cb4d48f27a6ac80bde3e690e74f872fc54d3a430547421b14a54cc167f15"},"schema_version":"1.0","source":{"id":"gr-qc/0408053","kind":"arxiv","version":1}},"canonical_sha256":"6cdf1c68c7363ce8cfad530ad913e0623080ce9b8f13c9f09f4e8f73de9ff929","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cdf1c68c7363ce8cfad530ad913e0623080ce9b8f13c9f09f4e8f73de9ff929","first_computed_at":"2026-05-18T01:39:22.508911Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:22.508911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vwv/VLJNHDa0516izIjEDgD5YpR6HaSJF70ws3DoEKKX4x1DiCxXCV8wdw6WGFHPUuKLRvbvXgoppGPMP9rRDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:22.509580Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0408053","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfdabc2974c6fa4841f6465d84be32e5d03cd9c8ab65350c5406a5f1e91005c3","sha256:640947f0c6dc7f4d3eec943069eefd38bc141f7593ed267a6add3f64dd4adc51"],"state_sha256":"fd318e699d58b26ef1645299ea5d96920f8a4a7d1820b4a74433e509a45d6dd3"}