{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DTQX3XUKVTRBLTFDDIWPVUUTB7","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":"cb9578b2a55f482b11962e7bbeb1b320217902d0bc4b0e95efa74bce190426ce","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-06-16T15:48:07Z","title_canon_sha256":"1855c19960d15b63a0d75f80d8828f7c961760b0d9d18fdf9b880a742d8a6cb8"},"schema_version":"1.0","source":{"id":"1106.3258","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3258","created_at":"2026-05-18T04:19:53Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3258v1","created_at":"2026-05-18T04:19:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3258","created_at":"2026-05-18T04:19:53Z"},{"alias_kind":"pith_short_12","alias_value":"DTQX3XUKVTRB","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DTQX3XUKVTRBLTFD","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DTQX3XUK","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:610553e37df7edbb7637fa0e67a785427c61ff816ce674928c81a9efae9acf72","target":"graph","created_at":"2026-05-18T04:19:53Z","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":"This note emphasizes that only special solutions of the Friedmann equation are compatible with the results of the \"Supernovae Cosmology Project\" (SCP). The curvature parameter of these solutions equals +1 and there is a simple relation between the minimal Hubble parameter, the cosmological constant and the total mass","authors_text":"Hellmut Baumgaertel","cross_cats":["gr-qc","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-06-16T15:48:07Z","title":"Friedmann equation and SCP-results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3258","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:bfe8c03fc14dfeff0c6e6c6106fddf4d4469c61417684729c7533591693985df","target":"record","created_at":"2026-05-18T04:19:53Z","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":"cb9578b2a55f482b11962e7bbeb1b320217902d0bc4b0e95efa74bce190426ce","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-06-16T15:48:07Z","title_canon_sha256":"1855c19960d15b63a0d75f80d8828f7c961760b0d9d18fdf9b880a742d8a6cb8"},"schema_version":"1.0","source":{"id":"1106.3258","kind":"arxiv","version":1}},"canonical_sha256":"1ce17dde8aace215cca31a2cfad2930fd8839e61610b17c663a15151f6ea8457","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ce17dde8aace215cca31a2cfad2930fd8839e61610b17c663a15151f6ea8457","first_computed_at":"2026-05-18T04:19:53.859106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:53.859106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aEtN/QbExX3KZFxyflvHtLVv/mTGCT3wGnGB0HOd918FaDB9WUkUJT6HzRdt3wpqYLx/fSg8lOy97J1Th1InCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:53.859912Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.3258","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfe8c03fc14dfeff0c6e6c6106fddf4d4469c61417684729c7533591693985df","sha256:610553e37df7edbb7637fa0e67a785427c61ff816ce674928c81a9efae9acf72"],"state_sha256":"9625e5318ef3f3b0199bd84cf1a213d71b562ecb7b09c3a65909bb130c2c5ffd"}