{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HTWJLKEYB5K3UVPQXUOJGG323O","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":"4c80feba470160c3d30a87b73ea762b6252a29e2730f2973d88f8c8de0400296","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-01-17T05:25:45Z","title_canon_sha256":"31e18c4000944a972404235b5304d33e927ad802ca3aea432c57cb1857656f47"},"schema_version":"1.0","source":{"id":"1901.05624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.05624","created_at":"2026-05-17T23:56:06Z"},{"alias_kind":"arxiv_version","alias_value":"1901.05624v1","created_at":"2026-05-17T23:56:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05624","created_at":"2026-05-17T23:56:06Z"},{"alias_kind":"pith_short_12","alias_value":"HTWJLKEYB5K3","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HTWJLKEYB5K3UVPQ","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HTWJLKEY","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:11a272042bc86d40fbf866fab42527cbfa3c50a09575ccdc2b0156b0e7f69175","target":"graph","created_at":"2026-05-17T23:56:06Z","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 present a perfect sampling algorithm for Gibbs point processes, based on the partial rejection sampling of Guo et al. (2017). Our particular focus is on pairwise interaction processes, penetrable spheres mixture models and area-interaction processes, with a finite interaction range. For an interaction range $2r$ of the target process, the proposed algorithm can generate a perfect sample with $O(\\log(1/r))$ expected running time complexity, provided that the intensity of the points is not too high.","authors_text":"Dirk P. Kroese, Sarat B. Moka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-01-17T05:25:45Z","title":"Perfect Sampling for Gibbs Point Processes Using Partial Rejection Sampling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05624","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":"sha256:7064c79b5118f6d0aab46528ec40955d7fc0f80be42a76f5261707b8387b67cf","target":"record","created_at":"2026-05-17T23:56:06Z","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":"4c80feba470160c3d30a87b73ea762b6252a29e2730f2973d88f8c8de0400296","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-01-17T05:25:45Z","title_canon_sha256":"31e18c4000944a972404235b5304d33e927ad802ca3aea432c57cb1857656f47"},"schema_version":"1.0","source":{"id":"1901.05624","kind":"arxiv","version":1}},"canonical_sha256":"3cec95a8980f55ba55f0bd1c931b7adbbed382fe83f99220e003c29f8864ceee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cec95a8980f55ba55f0bd1c931b7adbbed382fe83f99220e003c29f8864ceee","first_computed_at":"2026-05-17T23:56:06.605078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:06.605078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GotGD+OWoi+xtnoCJaxzeXI4uSqaB9lpImVCQPYHDcbKXYmQNGOZYUSNGXIFhijSqFE4YydJ8RE6yKyLp+AKBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:06.605529Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.05624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7064c79b5118f6d0aab46528ec40955d7fc0f80be42a76f5261707b8387b67cf","sha256:11a272042bc86d40fbf866fab42527cbfa3c50a09575ccdc2b0156b0e7f69175"],"state_sha256":"7638c1fe2b19e09291f2a68b1b64b7a80ab5d50a34d3fe36d65f6e159861046d"}