{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:AQBE5MAOVQB36GWQ5IU3NZB3VG","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":"6e5f0a35d2ce1a4747499ed992de703ca52b707f79ec8b61a073dfc3871fcf3f","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-09-01T10:04:01Z","title_canon_sha256":"794ac45ebeeffc61655543a72d7269c703d0cc45641cb12fcc9a6b965e80f716"},"schema_version":"1.0","source":{"id":"2509.01320","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.01320","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"arxiv_version","alias_value":"2509.01320v2","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.01320","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"pith_short_12","alias_value":"AQBE5MAOVQB3","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"pith_short_16","alias_value":"AQBE5MAOVQB36GWQ","created_at":"2026-06-09T02:08:32Z"},{"alias_kind":"pith_short_8","alias_value":"AQBE5MAO","created_at":"2026-06-09T02:08:32Z"}],"graph_snapshots":[{"event_id":"sha256:36b6993a54cc097da5cfbd97c9d118c6cb4bcbbcfcc4fa339c583818577fcb09","target":"graph","created_at":"2026-06-09T02:08:32Z","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/2509.01320/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Modern cosmology is based on the cosmological principle, which states that the Universe is statistically homogeneous and isotropic. When applied in its strict -- rather than statistical -- sense, the cosmological principle leads to the Friedmann--Lema\\^itre--Robertson--Walker (FLRW) model, which serves as background spacetime. This background is used to predict: (1) the dynamics of cosmic expansion; and (2) the kinematics of light propagation through the Universe, which dictates the interpretation of cosmological observations. In this lecture, we shall discuss the performance of the FLRW model","authors_text":"Pierre Fleury","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-09-01T10:04:01Z","title":"Les Houches on Dark Universe 2025: Elements of cosmology beyond FLRW"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.01320","kind":"arxiv","version":2},"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":"sha256:07d90f30aa39d597eeb9e2d1cf79e9400aaf89a5514f82a392ed9a786539d825","target":"record","created_at":"2026-06-09T02:08:32Z","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":"6e5f0a35d2ce1a4747499ed992de703ca52b707f79ec8b61a073dfc3871fcf3f","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-09-01T10:04:01Z","title_canon_sha256":"794ac45ebeeffc61655543a72d7269c703d0cc45641cb12fcc9a6b965e80f716"},"schema_version":"1.0","source":{"id":"2509.01320","kind":"arxiv","version":2}},"canonical_sha256":"04024eb00eac03bf1ad0ea29b6e43ba9aad2e0a22bdce1c440e77af44c072454","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04024eb00eac03bf1ad0ea29b6e43ba9aad2e0a22bdce1c440e77af44c072454","first_computed_at":"2026-06-09T02:08:32.895497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:08:32.895497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l/nY6f9Td4B6Pnoa/ufxf374v2zPlxSoSJAy7seiK7hnrSuqaRUdqzo1GaILwQsZqBSxNPPYKP6gklqCALMnDg==","signature_status":"signed_v1","signed_at":"2026-06-09T02:08:32.896620Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.01320","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07d90f30aa39d597eeb9e2d1cf79e9400aaf89a5514f82a392ed9a786539d825","sha256:36b6993a54cc097da5cfbd97c9d118c6cb4bcbbcfcc4fa339c583818577fcb09"],"state_sha256":"0e234a5a8bf79e64bdb4bcde4613564c77849ed4c8daf9052c94f1cad75d1da4"}