{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XDHWNDMEYOGG73NZD6ORIO3IEJ","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":"b791397e83244f8dc314e39616a8e654a721d7024846fb68b191b6055f09bcc7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-09-02T09:05:57Z","title_canon_sha256":"56e1a183700e658807cf618181affdb9137171d0bea6f71dd7eaf4eacf6d0345"},"schema_version":"1.0","source":{"id":"1909.00610","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.00610","created_at":"2026-07-05T00:07:37Z"},{"alias_kind":"arxiv_version","alias_value":"1909.00610v2","created_at":"2026-07-05T00:07:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.00610","created_at":"2026-07-05T00:07:37Z"},{"alias_kind":"pith_short_12","alias_value":"XDHWNDMEYOGG","created_at":"2026-07-05T00:07:37Z"},{"alias_kind":"pith_short_16","alias_value":"XDHWNDMEYOGG73NZ","created_at":"2026-07-05T00:07:37Z"},{"alias_kind":"pith_short_8","alias_value":"XDHWNDME","created_at":"2026-07-05T00:07:37Z"}],"graph_snapshots":[{"event_id":"sha256:f93cdb21065d88e1a3795bb2b9fdc1dedd53038c173f163087dd443ca68f6d3e","target":"graph","created_at":"2026-07-05T00:07:37Z","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/1909.00610/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Effects of inhomogeneities on observations have been vastly studied using both perturbative methods, N-body simulations and Swiss cheese solutions to the Einstein equations. In nearly all cases, such studied setups assume vanishing spatial background curvature. While a spatially flat Friedmann-Lemaitre-Robertson-Walker model is in accordance with observations, a non-vanishing curvature is not ruled out. It is therefore important to note that, as has been pointed out in the literature, 1 dimensional averages might not converge to volume averages in non-Euclidean space. If this is indeed the cas","authors_text":"S. M. Koksbang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-09-02T09:05:57Z","title":"Light path averages in spacetimes with non-vanishing average spatial curvature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.00610","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:eaaae15d856b198764030e6f70de56235e7da47a1e85c601a38268d35a671fca","target":"record","created_at":"2026-07-05T00:07:37Z","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":"b791397e83244f8dc314e39616a8e654a721d7024846fb68b191b6055f09bcc7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-09-02T09:05:57Z","title_canon_sha256":"56e1a183700e658807cf618181affdb9137171d0bea6f71dd7eaf4eacf6d0345"},"schema_version":"1.0","source":{"id":"1909.00610","kind":"arxiv","version":2}},"canonical_sha256":"b8cf668d84c38c6fedb91f9d143b68225411a2412f93fb87de5bb76f9f0f1af0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8cf668d84c38c6fedb91f9d143b68225411a2412f93fb87de5bb76f9f0f1af0","first_computed_at":"2026-07-05T00:07:37.485050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:07:37.485050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wGYWmu///oHol1DU+XSyOvElpE6evIcABfM0sz7EB8Y3cR/YsAhzGe3wyAM9TJ7GaRjKhzkLbI/ato9LpXOlAw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:07:37.485560Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.00610","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eaaae15d856b198764030e6f70de56235e7da47a1e85c601a38268d35a671fca","sha256:f93cdb21065d88e1a3795bb2b9fdc1dedd53038c173f163087dd443ca68f6d3e"],"state_sha256":"47eb0ee3013a3d25c04b3f59f9a2824718ae0026cb3e579df70e550d10eeff9e"}