{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AWYHPQ3KFNTVMFEPALUW6NQH6Q","short_pith_number":"pith:AWYHPQ3K","canonical_record":{"source":{"id":"1311.1027","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-05T12:21:20Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"5082259fefe77664af88d6593e4c620241312b3a971d6f337568ccde9dab9f5c","abstract_canon_sha256":"8b87d7f22befc72a66e6cd8bd92e638cf9be641b4168747f34a03679f0bde4f7"},"schema_version":"1.0"},"canonical_sha256":"05b077c36a2b6756148f02e96f3607f437d7995ae748dd9e4a97841fb6c0c292","source":{"kind":"arxiv","id":"1311.1027","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1027","created_at":"2026-05-18T03:07:55Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1027v1","created_at":"2026-05-18T03:07:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1027","created_at":"2026-05-18T03:07:55Z"},{"alias_kind":"pith_short_12","alias_value":"AWYHPQ3KFNTV","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AWYHPQ3KFNTVMFEP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AWYHPQ3K","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AWYHPQ3KFNTVMFEPALUW6NQH6Q","target":"record","payload":{"canonical_record":{"source":{"id":"1311.1027","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-05T12:21:20Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"5082259fefe77664af88d6593e4c620241312b3a971d6f337568ccde9dab9f5c","abstract_canon_sha256":"8b87d7f22befc72a66e6cd8bd92e638cf9be641b4168747f34a03679f0bde4f7"},"schema_version":"1.0"},"canonical_sha256":"05b077c36a2b6756148f02e96f3607f437d7995ae748dd9e4a97841fb6c0c292","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:55.725204Z","signature_b64":"wSYGX0TmZQbDgWaTn/WXZUsLy/74tj5dN5kzDNFfsBMDgrtF9AcASXv/qdtuJB84L8bDrX5d+xfo8+31KHG2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05b077c36a2b6756148f02e96f3607f437d7995ae748dd9e4a97841fb6c0c292","last_reissued_at":"2026-05-18T03:07:55.724606Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:55.724606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.1027","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:07:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Vpo7uLkOUq9/khl3c8DKi+k7WCuHdSwu3E4IQi3zlEkNfN5XzsMSOeZtKgYWonnaFOaEmOl0f3CS2KeXOtrCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T02:25:20.913084Z"},"content_sha256":"89c8689eba3935ada62d26a5234e1938539747477728eb7a7467e896b7f3cdb1","schema_version":"1.0","event_id":"sha256:89c8689eba3935ada62d26a5234e1938539747477728eb7a7467e896b7f3cdb1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AWYHPQ3KFNTVMFEPALUW6NQH6Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perfect Simulation of Determinantal Point Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Ian Flint (LTCI), Kah Choon Low (LTCI), Laurent Decreusefond (LTCI)","submitted_at":"2013-11-05T12:21:20Z","abstract_excerpt":"Determinantal point processes (DPP) serve as a practicable modeling for many applications of repulsive point processes. A known approach for simulation was proposed in \\cite{Hough(2006)}, which generate the desired distribution point wise through rejection sampling. Unfortunately, the size of rejection could be very large. In this paper, we investigate the application of perfect simulation via coupling from the past (CFTP) on DPP. We give a general framework for perfect simulation on DPP model. It is shown that the limiting sequence of the time-to-coalescence of the coupling is bounded by $K|\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1027","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:07:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sRfK8WBPAR3Fw/ch34d4Ykf5kgWcqM5mVHh3myabHQeUm3NJc48/23h+HkEauVjAV4EAncYgtFpL/8f/nW86Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T02:25:20.913451Z"},"content_sha256":"70eeed9e0a253ea38840b1aa0deee7ff18b7f4bd7e03b7f0e071228afb2cd23e","schema_version":"1.0","event_id":"sha256:70eeed9e0a253ea38840b1aa0deee7ff18b7f4bd7e03b7f0e071228afb2cd23e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AWYHPQ3KFNTVMFEPALUW6NQH6Q/bundle.json","state_url":"https://pith.science/pith/AWYHPQ3KFNTVMFEPALUW6NQH6Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AWYHPQ3KFNTVMFEPALUW6NQH6Q/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T02:25:20Z","links":{"resolver":"https://pith.science/pith/AWYHPQ3KFNTVMFEPALUW6NQH6Q","bundle":"https://pith.science/pith/AWYHPQ3KFNTVMFEPALUW6NQH6Q/bundle.json","state":"https://pith.science/pith/AWYHPQ3KFNTVMFEPALUW6NQH6Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AWYHPQ3KFNTVMFEPALUW6NQH6Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AWYHPQ3KFNTVMFEPALUW6NQH6Q","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":"8b87d7f22befc72a66e6cd8bd92e638cf9be641b4168747f34a03679f0bde4f7","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-05T12:21:20Z","title_canon_sha256":"5082259fefe77664af88d6593e4c620241312b3a971d6f337568ccde9dab9f5c"},"schema_version":"1.0","source":{"id":"1311.1027","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1027","created_at":"2026-05-18T03:07:55Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1027v1","created_at":"2026-05-18T03:07:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1027","created_at":"2026-05-18T03:07:55Z"},{"alias_kind":"pith_short_12","alias_value":"AWYHPQ3KFNTV","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AWYHPQ3KFNTVMFEP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AWYHPQ3K","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:70eeed9e0a253ea38840b1aa0deee7ff18b7f4bd7e03b7f0e071228afb2cd23e","target":"graph","created_at":"2026-05-18T03:07:55Z","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":"Determinantal point processes (DPP) serve as a practicable modeling for many applications of repulsive point processes. A known approach for simulation was proposed in \\cite{Hough(2006)}, which generate the desired distribution point wise through rejection sampling. Unfortunately, the size of rejection could be very large. In this paper, we investigate the application of perfect simulation via coupling from the past (CFTP) on DPP. We give a general framework for perfect simulation on DPP model. It is shown that the limiting sequence of the time-to-coalescence of the coupling is bounded by $K|\\","authors_text":"Ian Flint (LTCI), Kah Choon Low (LTCI), Laurent Decreusefond (LTCI)","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-05T12:21:20Z","title":"Perfect Simulation of Determinantal Point Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1027","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":"sha256:89c8689eba3935ada62d26a5234e1938539747477728eb7a7467e896b7f3cdb1","target":"record","created_at":"2026-05-18T03:07:55Z","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":"8b87d7f22befc72a66e6cd8bd92e638cf9be641b4168747f34a03679f0bde4f7","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-05T12:21:20Z","title_canon_sha256":"5082259fefe77664af88d6593e4c620241312b3a971d6f337568ccde9dab9f5c"},"schema_version":"1.0","source":{"id":"1311.1027","kind":"arxiv","version":1}},"canonical_sha256":"05b077c36a2b6756148f02e96f3607f437d7995ae748dd9e4a97841fb6c0c292","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05b077c36a2b6756148f02e96f3607f437d7995ae748dd9e4a97841fb6c0c292","first_computed_at":"2026-05-18T03:07:55.724606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:55.724606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wSYGX0TmZQbDgWaTn/WXZUsLy/74tj5dN5kzDNFfsBMDgrtF9AcASXv/qdtuJB84L8bDrX5d+xfo8+31KHG2DA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:55.725204Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1027","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89c8689eba3935ada62d26a5234e1938539747477728eb7a7467e896b7f3cdb1","sha256:70eeed9e0a253ea38840b1aa0deee7ff18b7f4bd7e03b7f0e071228afb2cd23e"],"state_sha256":"59ca8332aed6a6835bf7ba442ca38f7ceaaf3fd26eda66f615ce44c71ac9f85a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uI2oQFS7tnyF1AzLc7/Dx0g64Nhqd2vMNRI0QSsB6lxZAPpl1rQRYfh1I+iVDy9uz0BP6CnlRCHWN/v3c0SMDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T02:25:20.915351Z","bundle_sha256":"27dd14d6c8b4e00598696b0c72c575b7a7e289a9fc9dcae9a0d573b104088612"}}