{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6UYRKPT63P46YRBGLFBHCMLAPX","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":"57f2d55b03d6199d2c7e03ecda597447c1eee32290c222ae1ee19d3ad57ad408","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-06-12T14:07:58Z","title_canon_sha256":"ed37be83e56dbf9d76756adc680c58bf9d577483470f9a0125b97c8abcaae525"},"schema_version":"1.0","source":{"id":"1806.04541","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04541","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04541v2","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04541","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"pith_short_12","alias_value":"6UYRKPT63P46","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6UYRKPT63P46YRBG","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6UYRKPT6","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:79c5f716611e1632cd36c11f0f0dbff9e242729698542a8eeb5272223d7f47d1","target":"graph","created_at":"2026-05-17T23:57:31Z","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":"We use the scaled counts in spherical caps $\\mathcal{N}(<\\theta)$ and the fractal correlation dimension $ \\mathcal{D}_{2}(\\theta) $ procedures to search for a transition scale to homogeneity in the local universe as given by the ALFALFA catalogue (a sample of extragalactic HI line sources, in the redshift range $0 < z < 0.06$). Our analyses, in the 2-dimensional sky projected data, show a transition to homogeneity at $\\theta_H = 16.49^{\\circ} \\pm 0.29^{\\circ}$, in remarkable accordance with the angular scale expected from simulations, a result that strengthens the validity of the cosmological ","authors_text":"A. Bernui, C. P. Novaes, E. de Carvalho, F. Avila","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-06-12T14:07:58Z","title":"The scale of homogeneity in the local Universe with the ALFALFA catalogue"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04541","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":"sha256:5b688dbdd792f258d45892f8a3204e8ce5d2775ac9a82697188606220624e9c5","target":"record","created_at":"2026-05-17T23:57:31Z","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":"57f2d55b03d6199d2c7e03ecda597447c1eee32290c222ae1ee19d3ad57ad408","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-06-12T14:07:58Z","title_canon_sha256":"ed37be83e56dbf9d76756adc680c58bf9d577483470f9a0125b97c8abcaae525"},"schema_version":"1.0","source":{"id":"1806.04541","kind":"arxiv","version":2}},"canonical_sha256":"f531153e7edbf9ec442659427131607dd8e987013f1d24ff581ceabba440f31a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f531153e7edbf9ec442659427131607dd8e987013f1d24ff581ceabba440f31a","first_computed_at":"2026-05-17T23:57:31.821697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:31.821697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8i0PExKJEfEdPketLH2ID8keTJSYGNDuxGqSd53y0nyJrtpuT4riUNXGbephecUkhue5+n0PemgU3+4EJGTpCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:31.822225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.04541","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b688dbdd792f258d45892f8a3204e8ce5d2775ac9a82697188606220624e9c5","sha256:79c5f716611e1632cd36c11f0f0dbff9e242729698542a8eeb5272223d7f47d1"],"state_sha256":"0304bcc5d2cd9ce01b371289a6bcc8451cf579caaea48a283e20cf6be3d95635"}