{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NCNA4PTKWOZN3KUAFEZUZNEVO6","short_pith_number":"pith:NCNA4PTK","canonical_record":{"source":{"id":"1810.09362","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-10-22T15:26:40Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"fdd6247f4ec3d3046aacc6b6387e13568845c75780531e1027284866a9de80f7","abstract_canon_sha256":"d6cb0b65da8b39045bd340089eae18e5cf6fcc06f4053105f54692b197fa0a13"},"schema_version":"1.0"},"canonical_sha256":"689a0e3e6ab3b2ddaa8029334cb495779eb1e2038a832f03fbde2e600f99aaa1","source":{"kind":"arxiv","id":"1810.09362","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.09362","created_at":"2026-05-17T23:58:01Z"},{"alias_kind":"arxiv_version","alias_value":"1810.09362v2","created_at":"2026-05-17T23:58:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.09362","created_at":"2026-05-17T23:58:01Z"},{"alias_kind":"pith_short_12","alias_value":"NCNA4PTKWOZN","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NCNA4PTKWOZN3KUA","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NCNA4PTK","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NCNA4PTKWOZN3KUAFEZUZNEVO6","target":"record","payload":{"canonical_record":{"source":{"id":"1810.09362","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-10-22T15:26:40Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"fdd6247f4ec3d3046aacc6b6387e13568845c75780531e1027284866a9de80f7","abstract_canon_sha256":"d6cb0b65da8b39045bd340089eae18e5cf6fcc06f4053105f54692b197fa0a13"},"schema_version":"1.0"},"canonical_sha256":"689a0e3e6ab3b2ddaa8029334cb495779eb1e2038a832f03fbde2e600f99aaa1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:01.913170Z","signature_b64":"CZNW8Wi0PPzXZT6DdWEN5M6ibiJIMifrJCF+33GHwLYGlp9jGrsTKSJtwpGSjW0NNV6k8GfB0Uzpk0ap740EAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"689a0e3e6ab3b2ddaa8029334cb495779eb1e2038a832f03fbde2e600f99aaa1","last_reissued_at":"2026-05-17T23:58:01.912800Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:01.912800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.09362","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G/cwt8wDHhZ8ENZhkRynm/xmKOoWT0Oe1y4YMbTVIXTOT/xYv5tg+X+Albh2n2RXZ6pHEbyfX8VN6ncpyNniDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:44:59.350163Z"},"content_sha256":"bbddcb0648f299d082088871e8143bc824e126f2ea052fcb73178fd47b1db44e","schema_version":"1.0","event_id":"sha256:bbddcb0648f299d082088871e8143bc824e126f2ea052fcb73178fd47b1db44e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NCNA4PTKWOZN3KUAFEZUZNEVO6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The scale of cosmic homogeneity as a standard ruler","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Adam James Hawken, Andre Tilquin, Anne Ealet, James Rich, Jean-Christophe Hamilton, Jean-Marc Le Goff, Pierros Ntelis, Stephanie Escoffier","submitted_at":"2018-10-22T15:26:40Z","abstract_excerpt":"In this paper, we study the characteristic scale of transition to cosmic homogeneity of the universe, $\\mathcal{R}_H$, as a standard ruler, to constrain cosmological parameters on mock galaxy catalogues. We use mock galaxy catalogues that simulate the CMASS galaxy sample of the BOSS survey in the redshift range $0.43 \\leq z \\leq 0.7$. In each redshift bin we obtain the homogeneity scale, defined as the scale at which the universe becomes homogeneous to $1\\%$, i.e. $D_2(\\mathcal{R}_H) = 2.97$. With a simple Fisher analysis, we find that the performance of measuring the cosmological parameters w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09362","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8/lIzmCvMccgeQJOjRctz9PUJ7OfUqcGOhBu0sTuYFwCYbqBPkuXC09p6GA+7175lrKWmj4Xl+gl53k0wUFnAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:44:59.350530Z"},"content_sha256":"4666e0af9d9c41c54aae2d7bb23160f6b7d5cf1affefa61c24d5133c311c0b7d","schema_version":"1.0","event_id":"sha256:4666e0af9d9c41c54aae2d7bb23160f6b7d5cf1affefa61c24d5133c311c0b7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCNA4PTKWOZN3KUAFEZUZNEVO6/bundle.json","state_url":"https://pith.science/pith/NCNA4PTKWOZN3KUAFEZUZNEVO6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCNA4PTKWOZN3KUAFEZUZNEVO6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T10:44:59Z","links":{"resolver":"https://pith.science/pith/NCNA4PTKWOZN3KUAFEZUZNEVO6","bundle":"https://pith.science/pith/NCNA4PTKWOZN3KUAFEZUZNEVO6/bundle.json","state":"https://pith.science/pith/NCNA4PTKWOZN3KUAFEZUZNEVO6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCNA4PTKWOZN3KUAFEZUZNEVO6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NCNA4PTKWOZN3KUAFEZUZNEVO6","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":"d6cb0b65da8b39045bd340089eae18e5cf6fcc06f4053105f54692b197fa0a13","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-10-22T15:26:40Z","title_canon_sha256":"fdd6247f4ec3d3046aacc6b6387e13568845c75780531e1027284866a9de80f7"},"schema_version":"1.0","source":{"id":"1810.09362","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.09362","created_at":"2026-05-17T23:58:01Z"},{"alias_kind":"arxiv_version","alias_value":"1810.09362v2","created_at":"2026-05-17T23:58:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.09362","created_at":"2026-05-17T23:58:01Z"},{"alias_kind":"pith_short_12","alias_value":"NCNA4PTKWOZN","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NCNA4PTKWOZN3KUA","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NCNA4PTK","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:4666e0af9d9c41c54aae2d7bb23160f6b7d5cf1affefa61c24d5133c311c0b7d","target":"graph","created_at":"2026-05-17T23:58:01Z","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":"In this paper, we study the characteristic scale of transition to cosmic homogeneity of the universe, $\\mathcal{R}_H$, as a standard ruler, to constrain cosmological parameters on mock galaxy catalogues. We use mock galaxy catalogues that simulate the CMASS galaxy sample of the BOSS survey in the redshift range $0.43 \\leq z \\leq 0.7$. In each redshift bin we obtain the homogeneity scale, defined as the scale at which the universe becomes homogeneous to $1\\%$, i.e. $D_2(\\mathcal{R}_H) = 2.97$. With a simple Fisher analysis, we find that the performance of measuring the cosmological parameters w","authors_text":"Adam James Hawken, Andre Tilquin, Anne Ealet, James Rich, Jean-Christophe Hamilton, Jean-Marc Le Goff, Pierros Ntelis, Stephanie Escoffier","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-10-22T15:26:40Z","title":"The scale of cosmic homogeneity as a standard ruler"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09362","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:bbddcb0648f299d082088871e8143bc824e126f2ea052fcb73178fd47b1db44e","target":"record","created_at":"2026-05-17T23:58:01Z","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":"d6cb0b65da8b39045bd340089eae18e5cf6fcc06f4053105f54692b197fa0a13","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-10-22T15:26:40Z","title_canon_sha256":"fdd6247f4ec3d3046aacc6b6387e13568845c75780531e1027284866a9de80f7"},"schema_version":"1.0","source":{"id":"1810.09362","kind":"arxiv","version":2}},"canonical_sha256":"689a0e3e6ab3b2ddaa8029334cb495779eb1e2038a832f03fbde2e600f99aaa1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"689a0e3e6ab3b2ddaa8029334cb495779eb1e2038a832f03fbde2e600f99aaa1","first_computed_at":"2026-05-17T23:58:01.912800Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:01.912800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CZNW8Wi0PPzXZT6DdWEN5M6ibiJIMifrJCF+33GHwLYGlp9jGrsTKSJtwpGSjW0NNV6k8GfB0Uzpk0ap740EAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:01.913170Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.09362","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbddcb0648f299d082088871e8143bc824e126f2ea052fcb73178fd47b1db44e","sha256:4666e0af9d9c41c54aae2d7bb23160f6b7d5cf1affefa61c24d5133c311c0b7d"],"state_sha256":"034c078aaccb31abbb325a7a18a856f0c5ab30d21b0cabdb9d9adcef6a6e4df7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wwXg5TeB1nnrsDbLhPGNIAi68jp0ULFfvIRRoWboeY8ug2pXONYsjBjEqruKOb4dNyjEzuUE9F0dtoD6Qb3uCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T10:44:59.352746Z","bundle_sha256":"7b1cd7f361fb952d443559fccc5d6a94ac8cf5163ef74e24f5eba8e2abb73b73"}}