{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GUXQS43FL4TO77C3SKZS5VR4WK","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":"5ee34ce73ce1e587dfcc5c2fbe11c4b8c11eb191e09370b21a50eff2e6143fb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-02-23T19:59:55Z","title_canon_sha256":"be03db9dea640ebb543d4193e0474d6a245064894f7f9231f75630344af7c50f"},"schema_version":"1.0","source":{"id":"1102.4829","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4829","created_at":"2026-05-18T02:03:05Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4829v1","created_at":"2026-05-18T02:03:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4829","created_at":"2026-05-18T02:03:05Z"},{"alias_kind":"pith_short_12","alias_value":"GUXQS43FL4TO","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GUXQS43FL4TO77C3","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GUXQS43F","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:24fdfb8b013f54fc7c72a77d6583bd29bcf73e064902f1e3dd5a2e6d4d1d13eb","target":"graph","created_at":"2026-05-18T02:03:05Z","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 apply order statistics (OS) to the bright end ($M_r < -22$) of the luminosity distribution of early-type galaxies spectroscopically identified in the SDSS DR7 catalog. We calculate the typical OS quantities of this distribution numerically, measuring the expectation value and variance of the $k^{th}$ most luminous galaxy in a sample with cardinality $N$ over a large ensemble of such samples. From these statistical quantities we explain why and in what limit the $k^{th}$ most luminous galaxies can be used as standard candles for cosmological studies.\n  Since our sample contains all bright ga","authors_text":"Istvan Csabai, Laszlo Dobos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-02-23T19:59:55Z","title":"Order statistics of the early-type galaxy luminosity function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4829","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":"sha256:0740ba7c0fc265f9f96fc6259dded630b67fbca4aebc9ec9fff11230a05a3569","target":"record","created_at":"2026-05-18T02:03:05Z","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":"5ee34ce73ce1e587dfcc5c2fbe11c4b8c11eb191e09370b21a50eff2e6143fb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-02-23T19:59:55Z","title_canon_sha256":"be03db9dea640ebb543d4193e0474d6a245064894f7f9231f75630344af7c50f"},"schema_version":"1.0","source":{"id":"1102.4829","kind":"arxiv","version":1}},"canonical_sha256":"352f0973655f26effc5b92b32ed63cb294627199069a271cf385c828dd07fbea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"352f0973655f26effc5b92b32ed63cb294627199069a271cf385c828dd07fbea","first_computed_at":"2026-05-18T02:03:05.864525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:05.864525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7bK4l95a72ytqlW2xdmDUgxCO99hY9qqJs9K5GU6FukRkI9rVziRKqpC1JvgWLyVe5VTKqezGakgUkWUSL1EAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:05.865262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4829","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0740ba7c0fc265f9f96fc6259dded630b67fbca4aebc9ec9fff11230a05a3569","sha256:24fdfb8b013f54fc7c72a77d6583bd29bcf73e064902f1e3dd5a2e6d4d1d13eb"],"state_sha256":"48f02a9734c4e7c56cd9bdb0a4778cf40c49bcbd3b225e219d82b5f2e3ca9bab"}