{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:UFJRC7VI2IMPSBNSIOOERAKAPM","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":"219f045846b6337c6daf5d0f61357972504cc175a34d51a94da07e703a58740d","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2001-09-13T09:37:06Z","title_canon_sha256":"826dd1a9132361fe6358113b1a288c15b62dddad56fdae5440d55d4c1b9b36df"},"schema_version":"1.0","source":{"id":"astro-ph/0109197","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0109197","created_at":"2026-05-18T01:40:44Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0109197v1","created_at":"2026-05-18T01:40:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0109197","created_at":"2026-05-18T01:40:44Z"},{"alias_kind":"pith_short_12","alias_value":"UFJRC7VI2IMP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"UFJRC7VI2IMPSBNS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"UFJRC7VI","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:7e332f367e230854e40ac2920aca47088ad34fb1e368f688ed98ef462d66df10","target":"graph","created_at":"2026-05-18T01:40:44Z","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":"Using Monte-Carlo methods, we determine the best-fit value of the homogeneity parameter alpha in the Dyer-Roeder distance-redshift relation for a variety of redshifts, inhomogeneity models and cosmological parameter values. The relation between alpha and the fraction of compact objects, f_p, is found to be approximately linear. This relation can be parametrized with reasonable accuracy for all cases treated in this paper by alpha = a*f_p, where a = 0.6.","authors_text":"E. Mortsell","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2001-09-13T09:37:06Z","title":"The Dyer-Roeder distance-redshift relation in inhomogeneous universes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0109197","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":"sha256:6bad62774a82e6d379543032794c152aa588dd21279af32529ee47b513f1a67e","target":"record","created_at":"2026-05-18T01:40:44Z","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":"219f045846b6337c6daf5d0f61357972504cc175a34d51a94da07e703a58740d","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2001-09-13T09:37:06Z","title_canon_sha256":"826dd1a9132361fe6358113b1a288c15b62dddad56fdae5440d55d4c1b9b36df"},"schema_version":"1.0","source":{"id":"astro-ph/0109197","kind":"arxiv","version":1}},"canonical_sha256":"a153117ea8d218f905b2439c4881407b2a5c24b39d9e3773485738a7dd44e83d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a153117ea8d218f905b2439c4881407b2a5c24b39d9e3773485738a7dd44e83d","first_computed_at":"2026-05-18T01:40:44.120449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:44.120449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wi8ngf3TC19jzuQsErx8G8Nlw6yTVlgEK55UmVBAKqSVE0d8uPYnDUizt5rc0LnSbwpWsAVGc+LWTYq+emfMAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:44.121211Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0109197","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bad62774a82e6d379543032794c152aa588dd21279af32529ee47b513f1a67e","sha256:7e332f367e230854e40ac2920aca47088ad34fb1e368f688ed98ef462d66df10"],"state_sha256":"477d313d9790569720027a8499309afc27660d487fbe4185cf11c111000e5877"}