{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2VGXLC25EO5HF6OO52XCNOWWZM","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":"027fafae397b6b2e4bd6a81e25e7498a14a2452d7c520052fb4ca67cf40caf2d","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-06-20T04:06:07Z","title_canon_sha256":"3fbe65c75aa45d250b2fe5158678f0c874d3dfd2b35e869c4eb6352d4ce7ca0d"},"schema_version":"1.0","source":{"id":"2606.21864","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21864","created_at":"2026-06-23T02:13:01Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21864v1","created_at":"2026-06-23T02:13:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21864","created_at":"2026-06-23T02:13:01Z"},{"alias_kind":"pith_short_12","alias_value":"2VGXLC25EO5H","created_at":"2026-06-23T02:13:01Z"},{"alias_kind":"pith_short_16","alias_value":"2VGXLC25EO5HF6OO","created_at":"2026-06-23T02:13:01Z"},{"alias_kind":"pith_short_8","alias_value":"2VGXLC25","created_at":"2026-06-23T02:13:01Z"}],"graph_snapshots":[{"event_id":"sha256:9fa762a4761da5f021b906d706f1ed966a2d8b4249532bda2c24ab552dab429a","target":"graph","created_at":"2026-06-23T02:13:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.21864/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Tessellation methods are extensively employed in the analyses of cosmic large-scale structure (LSS). However, these techniques are highly sensitive to perturbations in both densities and positions of points, often leading to substantial rearrangements of tessellation configurations. As a result, considerable additional statistical errors are introduced in various tessellation-based statistics, thereby weakening their cosmological constraints. In this work, we identify this issue and propose an efficacious measurement scheme through subsampling and averaging to enhance the stabilities of tessel","authors_text":"Cheng Zhao, Jean-Paul Kneib, Yu Liu, Yu Yu, Zhejie Ding","cross_cats":["astro-ph.GA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-06-20T04:06:07Z","title":"Optimization of Tessellation-based Statistics: Void Statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21864","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:e5fff22e4b166db6900abf78737c99473e35423564938211e9ba4562f5d7e8d6","target":"record","created_at":"2026-06-23T02:13:01Z","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":"027fafae397b6b2e4bd6a81e25e7498a14a2452d7c520052fb4ca67cf40caf2d","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-06-20T04:06:07Z","title_canon_sha256":"3fbe65c75aa45d250b2fe5158678f0c874d3dfd2b35e869c4eb6352d4ce7ca0d"},"schema_version":"1.0","source":{"id":"2606.21864","kind":"arxiv","version":1}},"canonical_sha256":"d54d758b5d23ba72f9ceeeae26bad6cb0ceaf3c253fd02520c4d0a345725b24a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d54d758b5d23ba72f9ceeeae26bad6cb0ceaf3c253fd02520c4d0a345725b24a","first_computed_at":"2026-06-23T02:13:01.344245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T02:13:01.344245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dgQc0fmZdhFz2BpQ1drfaOmXVO9smurFerrYN6rrQx3Ut6NxRJFsvuQZjAHUIxonst8UskpOgKtWW/rikpnPCQ==","signature_status":"signed_v1","signed_at":"2026-06-23T02:13:01.344649Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.21864","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5fff22e4b166db6900abf78737c99473e35423564938211e9ba4562f5d7e8d6","sha256:9fa762a4761da5f021b906d706f1ed966a2d8b4249532bda2c24ab552dab429a"],"state_sha256":"9db759ee482b6ed2f2696c906206e8e98ceee1b36280dd1bf710c367b05e993b"}