{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KI3DFM4PT7A43YLCUBS3SRKZLO","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":"201d472691e2ad3acd1fe3ae4185755f01c532d4810afcabc129e8129285665c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-01-08T14:59:39Z","title_canon_sha256":"416eb5fc0d1128cc9f34b88dc71f4492e08c992f1c81c2307e48b3c6436f55dc"},"schema_version":"1.0","source":{"id":"1001.1294","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.1294","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"arxiv_version","alias_value":"1001.1294v1","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1294","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"pith_short_12","alias_value":"KI3DFM4PT7A4","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KI3DFM4PT7A43YLC","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KI3DFM4P","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:38469f5d02d055adb52f410bf374a03d0c80557382559652277a986cf98ec39d","target":"graph","created_at":"2026-05-18T02:52:04Z","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":"(abridged) The clustering properties of galaxies belonging to different luminosity ranges or having different morphological types are different. These characteristics or `marks' permit to understand the galaxy catalogs that carry all this information as realizations of marked point processes. Many attempts have been presented to quantify the dependence of the clustering of galaxies on their inner properties. The present paper summarizes methods on spatial marked statistics used in cosmology to disentangle luminosity, colour or morphological segregation and introduces a new one in this context,","authors_text":"Dietrich Stoyan, Pablo Arnalte-Mur, Vicent J. Martinez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-01-08T14:59:39Z","title":"Measuring galaxy segregation using the mark connection function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1294","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:a06e9fdae42909ac139ee90710c122b35d148fe3884719edf9572443d0a5718d","target":"record","created_at":"2026-05-18T02:52:04Z","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":"201d472691e2ad3acd1fe3ae4185755f01c532d4810afcabc129e8129285665c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-01-08T14:59:39Z","title_canon_sha256":"416eb5fc0d1128cc9f34b88dc71f4492e08c992f1c81c2307e48b3c6436f55dc"},"schema_version":"1.0","source":{"id":"1001.1294","kind":"arxiv","version":1}},"canonical_sha256":"523632b38f9fc1cde162a065b945595bb1b3267338ff4f37ecbca285db0929cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"523632b38f9fc1cde162a065b945595bb1b3267338ff4f37ecbca285db0929cf","first_computed_at":"2026-05-18T02:52:04.514332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:04.514332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s1WPF3SLgHAt6wemRUTmrKPeo4ih9LdtK7HAVUWzQbv7oZhvZWBhmaQE0z+PnaEJFyva9wFtDyvupczAP2QJCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:04.514879Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.1294","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a06e9fdae42909ac139ee90710c122b35d148fe3884719edf9572443d0a5718d","sha256:38469f5d02d055adb52f410bf374a03d0c80557382559652277a986cf98ec39d"],"state_sha256":"f1eddbd17697a417f638118c61473959c16d789cffd3a92888a193da5eda6e67"}