{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6FO3TF7UQDIGU2NTHSSBORQTXC","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":"41859af3644d33f633ce265c459e1a79f4d441cf476d1e413119d2c2d226cc32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2015-09-25T20:04:17Z","title_canon_sha256":"b86eeedfc9ac38591998aeb64afc1d5c63f5721e2ed79d59ab045bada61857d8"},"schema_version":"1.0","source":{"id":"1509.07870","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07870","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07870v3","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07870","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"pith_short_12","alias_value":"6FO3TF7UQDIG","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6FO3TF7UQDIGU2NT","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6FO3TF7U","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:305c48ba809410b90956fd8115b7e2109ee8a1f3fe6a5e62c03e4bf2feabf4bb","target":"graph","created_at":"2026-05-18T01:13:38Z","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 characterize the luminosity functions of galaxies residing in $z\\sim0$ groups and clusters over the broadest ranges of luminosity and mass reachable by the Sloan Digital Sky Survey. Our measurements cover four orders of magnitude in luminosity, down to about $M_r=-12$ mag or $L=10^7\\,L_\\odot$, and three orders of magnitude in halo mass, from $10^{12}$ to $10^{15} \\, {\\rm M}_\\odot$. We find a characteristic scale, $M_r\\sim-18$ mag or $L\\sim10^9\\, L_\\odot$, below which the slope of the luminosity function becomes systematically steeper. This trend is present for all halo masses and originates","authors_text":"Brice M\\'enard, Houjun Mo, Ting-Wen Lan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2015-09-25T20:04:17Z","title":"The galaxy luminosity function in groups and clusters: the faint-end upturn and the connection to the field luminosity function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07870","kind":"arxiv","version":3},"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:c689275301e946b3675a54153ee9d7e1488d8d19b0109cce29ddd3337199e2d3","target":"record","created_at":"2026-05-18T01:13:38Z","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":"41859af3644d33f633ce265c459e1a79f4d441cf476d1e413119d2c2d226cc32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2015-09-25T20:04:17Z","title_canon_sha256":"b86eeedfc9ac38591998aeb64afc1d5c63f5721e2ed79d59ab045bada61857d8"},"schema_version":"1.0","source":{"id":"1509.07870","kind":"arxiv","version":3}},"canonical_sha256":"f15db997f480d06a69b33ca4174613b8979042b2c6086a465ccc5c0be91ed317","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f15db997f480d06a69b33ca4174613b8979042b2c6086a465ccc5c0be91ed317","first_computed_at":"2026-05-18T01:13:38.031032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:38.031032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3T2V2rikM7p+j4HbwjgHn92TZvVG9G5qVfbipio+Ft23Wq3301JFfwux1ZDz/tjYaUhrhzj6WQEmdLGjIUnwCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:38.031771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07870","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c689275301e946b3675a54153ee9d7e1488d8d19b0109cce29ddd3337199e2d3","sha256:305c48ba809410b90956fd8115b7e2109ee8a1f3fe6a5e62c03e4bf2feabf4bb"],"state_sha256":"7c5eac82c69fa5a59fd2e80e0415f173875fe271dbd2c3547278e0ff9181aa59"}