{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:H4VS6UQV4LRJIZDSTAPJFE26WA","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":"4d9c62815b35cd0353682f6945bc2f460c18be7a829b91a1f75e1bd0b52c9048","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-06-18T18:15:27Z","title_canon_sha256":"57bb7910b4ec67eaf6fb441c134d7c23df312b5ac2f1cf73b9ad0f2701916fe2"},"schema_version":"1.0","source":{"id":"1006.3768","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.3768","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"arxiv_version","alias_value":"1006.3768v2","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3768","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"pith_short_12","alias_value":"H4VS6UQV4LRJ","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"H4VS6UQV4LRJIZDS","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"H4VS6UQV","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:643b1a79e0c8ebafd74fae86ee2d14f35f01b41b855f18532e169f69837cd9b7","target":"graph","created_at":"2026-05-18T04:40:20Z","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 study the topology of cosmic large-scale structure through the genus statistics, using galaxy catalogues generated from the Millennium Simulation and observational data from the latest Sloan Digital Sky Survey Data Release (SDSS DR7). We introduce a new method for constructing galaxy density fields and for measuring the genus statistics of its isodensity surfaces. It is based on a Delaunay tessellation field estimation (DTFE) technique that allows the definition of a piece-wise continuous density field and the exact computation of the topology of its polygonal isodensity contours, without i","authors_text":"Volker Springel, Xiaohu Yang, Youcai Zhang","cross_cats":["astro-ph.GA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-06-18T18:15:27Z","title":"Genus statistics using the Delaunay tessellation field estimation method: (I) tests with the Millennium Simulation and the SDSS DR7"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3768","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":"sha256:78b9926ebd3c51e737e9912cf1d94d685a306cb2e14cb783123edf7a1d7d1af8","target":"record","created_at":"2026-05-18T04:40:20Z","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":"4d9c62815b35cd0353682f6945bc2f460c18be7a829b91a1f75e1bd0b52c9048","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-06-18T18:15:27Z","title_canon_sha256":"57bb7910b4ec67eaf6fb441c134d7c23df312b5ac2f1cf73b9ad0f2701916fe2"},"schema_version":"1.0","source":{"id":"1006.3768","kind":"arxiv","version":2}},"canonical_sha256":"3f2b2f5215e2e2946472981e92935eb03b7a88e6d81629a26f02210742f158ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f2b2f5215e2e2946472981e92935eb03b7a88e6d81629a26f02210742f158ac","first_computed_at":"2026-05-18T04:40:20.105584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:20.105584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T/3MMV5dPmY1W92kP+0P1qzwS37ILRc3+usx/QeByO6mBBGxMAKctevNOjepS7a4MKZMTKpO6zXeOv7+JY8qBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:20.106057Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.3768","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78b9926ebd3c51e737e9912cf1d94d685a306cb2e14cb783123edf7a1d7d1af8","sha256:643b1a79e0c8ebafd74fae86ee2d14f35f01b41b855f18532e169f69837cd9b7"],"state_sha256":"e8e9d32e8a06504d40ae88767a5d3efcc63a17f75939723a9a77bcb1cff86de2"}