{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HE5WRDN7WCJYJUVPQGUXUFBFZ3","short_pith_number":"pith:HE5WRDN7","canonical_record":{"source":{"id":"1506.04576","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-15T12:53:48Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"14adaed35ed05f3870d5b75cd33e7fb8f6d3a112589c1b53a38356ef47ee5edf","abstract_canon_sha256":"4e2ae7a37594885ba0cae687e1f50bd530b3701712a6b2a2a61a9cf4c39a6f89"},"schema_version":"1.0"},"canonical_sha256":"393b688dbfb09384d2af81a97a1425cee3c65e3e4949d169c0f09fcdb1724e58","source":{"kind":"arxiv","id":"1506.04576","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04576","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04576v4","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04576","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"HE5WRDN7WCJY","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HE5WRDN7WCJYJUVP","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HE5WRDN7","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HE5WRDN7WCJYJUVPQGUXUFBFZ3","target":"record","payload":{"canonical_record":{"source":{"id":"1506.04576","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-15T12:53:48Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"14adaed35ed05f3870d5b75cd33e7fb8f6d3a112589c1b53a38356ef47ee5edf","abstract_canon_sha256":"4e2ae7a37594885ba0cae687e1f50bd530b3701712a6b2a2a61a9cf4c39a6f89"},"schema_version":"1.0"},"canonical_sha256":"393b688dbfb09384d2af81a97a1425cee3c65e3e4949d169c0f09fcdb1724e58","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:43.436641Z","signature_b64":"ycvtZjKrmt2MIyHj8mdKZ1Es+++xTJHNrqhk8r+5FyRZyMTCSLhaCh0uMKkC2d8A63MA1srigZTcbrTfmvvACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"393b688dbfb09384d2af81a97a1425cee3c65e3e4949d169c0f09fcdb1724e58","last_reissued_at":"2026-05-18T01:12:43.436270Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:43.436270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.04576","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ubGDMG2GQXhislYhksTeAWM7PriI2ItTQ4FUkU++jIf+bz3zCJ62/J5z7/lZ8gfF3lrkk2sEaR8P3Kj04wKWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T22:15:37.866061Z"},"content_sha256":"ee8bcc3551a43963b3e8247040b33ad836fe764d8d1c9a0d8df94dc4faf4dda6","schema_version":"1.0","event_id":"sha256:ee8bcc3551a43963b3e8247040b33ad836fe764d8d1c9a0d8df94dc4faf4dda6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HE5WRDN7WCJYJUVPQGUXUFBFZ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Palm distributions for log Gaussian Cox processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Jean-Fran\\c{c}ois Coeurjolly (FIGAL), Jesper M{\\o}ller, Rasmus Waagepetersen","submitted_at":"2015-06-15T12:53:48Z","abstract_excerpt":"This paper establishes a remarkable result regarding Palmdistributions for a log Gaussian Cox process: the reduced Palmdistribution for a log Gaussian Cox process is itself a log Gaussian Coxprocess which only differs from the original log Gaussian Cox processin the intensity function. This new result is used to study functionalsummaries for log Gaussian Cox processes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04576","kind":"arxiv","version":4},"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":"2026-05-18T01:12:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pPqZVJx4Pf8GsM1zhfgIvMWZF6Xv0+WfMEz/TJsQg/lRjaWwip1hVkeRu4Q8xGNMAYZrApwOz6Az3E2FKC0IDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T22:15:37.866700Z"},"content_sha256":"ebad840db0aba0fa841eb7b1e5c68341366f33fc8926eeda63a3507dd9652602","schema_version":"1.0","event_id":"sha256:ebad840db0aba0fa841eb7b1e5c68341366f33fc8926eeda63a3507dd9652602"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HE5WRDN7WCJYJUVPQGUXUFBFZ3/bundle.json","state_url":"https://pith.science/pith/HE5WRDN7WCJYJUVPQGUXUFBFZ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HE5WRDN7WCJYJUVPQGUXUFBFZ3/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":"2026-05-23T22:15:37Z","links":{"resolver":"https://pith.science/pith/HE5WRDN7WCJYJUVPQGUXUFBFZ3","bundle":"https://pith.science/pith/HE5WRDN7WCJYJUVPQGUXUFBFZ3/bundle.json","state":"https://pith.science/pith/HE5WRDN7WCJYJUVPQGUXUFBFZ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HE5WRDN7WCJYJUVPQGUXUFBFZ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HE5WRDN7WCJYJUVPQGUXUFBFZ3","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":"4e2ae7a37594885ba0cae687e1f50bd530b3701712a6b2a2a61a9cf4c39a6f89","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-15T12:53:48Z","title_canon_sha256":"14adaed35ed05f3870d5b75cd33e7fb8f6d3a112589c1b53a38356ef47ee5edf"},"schema_version":"1.0","source":{"id":"1506.04576","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04576","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04576v4","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04576","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"HE5WRDN7WCJY","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HE5WRDN7WCJYJUVP","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HE5WRDN7","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:ebad840db0aba0fa841eb7b1e5c68341366f33fc8926eeda63a3507dd9652602","target":"graph","created_at":"2026-05-18T01:12:43Z","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":"This paper establishes a remarkable result regarding Palmdistributions for a log Gaussian Cox process: the reduced Palmdistribution for a log Gaussian Cox process is itself a log Gaussian Coxprocess which only differs from the original log Gaussian Cox processin the intensity function. This new result is used to study functionalsummaries for log Gaussian Cox processes.","authors_text":"Jean-Fran\\c{c}ois Coeurjolly (FIGAL), Jesper M{\\o}ller, Rasmus Waagepetersen","cross_cats":["math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-15T12:53:48Z","title":"Palm distributions for log Gaussian Cox processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04576","kind":"arxiv","version":4},"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:ee8bcc3551a43963b3e8247040b33ad836fe764d8d1c9a0d8df94dc4faf4dda6","target":"record","created_at":"2026-05-18T01:12:43Z","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":"4e2ae7a37594885ba0cae687e1f50bd530b3701712a6b2a2a61a9cf4c39a6f89","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-06-15T12:53:48Z","title_canon_sha256":"14adaed35ed05f3870d5b75cd33e7fb8f6d3a112589c1b53a38356ef47ee5edf"},"schema_version":"1.0","source":{"id":"1506.04576","kind":"arxiv","version":4}},"canonical_sha256":"393b688dbfb09384d2af81a97a1425cee3c65e3e4949d169c0f09fcdb1724e58","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"393b688dbfb09384d2af81a97a1425cee3c65e3e4949d169c0f09fcdb1724e58","first_computed_at":"2026-05-18T01:12:43.436270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:43.436270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ycvtZjKrmt2MIyHj8mdKZ1Es+++xTJHNrqhk8r+5FyRZyMTCSLhaCh0uMKkC2d8A63MA1srigZTcbrTfmvvACg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:43.436641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.04576","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee8bcc3551a43963b3e8247040b33ad836fe764d8d1c9a0d8df94dc4faf4dda6","sha256:ebad840db0aba0fa841eb7b1e5c68341366f33fc8926eeda63a3507dd9652602"],"state_sha256":"e6130df51c657339158a0db7a55d96310ba37517550371dcd354085aba9f4799"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Xzidu22WFQcMHaWatFl1uqinO+lY3EsS25UGUr7eFT2tyucTa70d0PM5KG3pziu5j+5l7VcOnRvVRwwHhy3DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T22:15:37.869935Z","bundle_sha256":"449619d795cc8ad0a3903a7d5cc228132ee82185871f1d496bd2d4dbc48305be"}}