{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MGU4YSOWD3CTH6LQH5572WWPCU","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":"09b7e3ab013f369be2ddddcef49df8597952581d171e66ab5cc50619c29426f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-27T12:59:42Z","title_canon_sha256":"727146d4b72c42d95f90ed873d9a1357ed6189e8a4ecf250a3c171c8b62cd29c"},"schema_version":"1.0","source":{"id":"2605.28430","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.28430","created_at":"2026-05-28T01:05:17Z"},{"alias_kind":"arxiv_version","alias_value":"2605.28430v1","created_at":"2026-05-28T01:05:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.28430","created_at":"2026-05-28T01:05:17Z"},{"alias_kind":"pith_short_12","alias_value":"MGU4YSOWD3CT","created_at":"2026-05-28T01:05:17Z"},{"alias_kind":"pith_short_16","alias_value":"MGU4YSOWD3CTH6LQ","created_at":"2026-05-28T01:05:17Z"},{"alias_kind":"pith_short_8","alias_value":"MGU4YSOW","created_at":"2026-05-28T01:05:17Z"}],"graph_snapshots":[{"event_id":"sha256:2fc254d5e4fb199cfff5365a632d290316181b8a2dc3a1928a8839a5fcbc3cea","target":"graph","created_at":"2026-05-28T01:05:17Z","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/2605.28430/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study sums of locally dependent scores associated with general marked (i.e., labeled) Euclidean point processes. We introduce geometric mixing conditions on the underlying point process and a Lipschitz-\"localization\" condition on the scores, which jointly ensure a central limit theorem for the sums of the scores as well as expectation and variance asymptotics. Our localization condition is formulated using the bounded Lipschitz metric, providing a distributional criterion. This stands in contrast to the classical stabilization conditions in stochastic geometry, which are typically based on ","authors_text":"B. B{\\l}aszczyszyn, D. Yogeshwaran, J. E. Yukich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-27T12:59:42Z","title":"Limit theory for Lipschitz-localized statistics in random geometric models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.28430","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":"sha256:2e5e1018c853b61ac81a4482c2044f53e19bdd53c6469b9040ddaf9589c2550e","target":"record","created_at":"2026-05-28T01:05:17Z","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":"09b7e3ab013f369be2ddddcef49df8597952581d171e66ab5cc50619c29426f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-27T12:59:42Z","title_canon_sha256":"727146d4b72c42d95f90ed873d9a1357ed6189e8a4ecf250a3c171c8b62cd29c"},"schema_version":"1.0","source":{"id":"2605.28430","kind":"arxiv","version":1}},"canonical_sha256":"61a9cc49d61ec533f9703f7bfd5acf1503e8c4b0ea30749b365c957efdf4309f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61a9cc49d61ec533f9703f7bfd5acf1503e8c4b0ea30749b365c957efdf4309f","first_computed_at":"2026-05-28T01:05:17.938645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T01:05:17.938645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uJ9zv45Z+SVAsCAokjAPiuWmZAF9cX4e9R46/0jKJqcNxHEb+NMS+pc9NDyg0GNlvAwl3LeqF33oy/OP2e/cCQ==","signature_status":"signed_v1","signed_at":"2026-05-28T01:05:17.939119Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.28430","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e5e1018c853b61ac81a4482c2044f53e19bdd53c6469b9040ddaf9589c2550e","sha256:2fc254d5e4fb199cfff5365a632d290316181b8a2dc3a1928a8839a5fcbc3cea"],"state_sha256":"50ea9ef01fe9aee91709504e0b3dc418bbc231cc1cc76c5fc22a705a9ab0d6c6"}