{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:P7LKWNHREJSIC3K2CVW57NP5BL","short_pith_number":"pith:P7LKWNHR","canonical_record":{"source":{"id":"1411.0254","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-11-02T13:04:30Z","cross_cats_sorted":[],"title_canon_sha256":"a280e02e32f1ab07349cb2669a446ec337d2d98e15187bb99d41cc6969326735","abstract_canon_sha256":"c4e731debdfd34dbd2c0f255b03be0c832374ce701f189914b2fa29bc91bad91"},"schema_version":"1.0"},"canonical_sha256":"7fd6ab34f12264816d5a156ddfb5fd0af0686e6df4ada26f6c202f63389fef3b","source":{"kind":"arxiv","id":"1411.0254","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0254","created_at":"2026-05-18T01:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0254v3","created_at":"2026-05-18T01:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0254","created_at":"2026-05-18T01:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"P7LKWNHREJSI","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P7LKWNHREJSIC3K2","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P7LKWNHR","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:P7LKWNHREJSIC3K2CVW57NP5BL","target":"record","payload":{"canonical_record":{"source":{"id":"1411.0254","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-11-02T13:04:30Z","cross_cats_sorted":[],"title_canon_sha256":"a280e02e32f1ab07349cb2669a446ec337d2d98e15187bb99d41cc6969326735","abstract_canon_sha256":"c4e731debdfd34dbd2c0f255b03be0c832374ce701f189914b2fa29bc91bad91"},"schema_version":"1.0"},"canonical_sha256":"7fd6ab34f12264816d5a156ddfb5fd0af0686e6df4ada26f6c202f63389fef3b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:13.908099Z","signature_b64":"Xie/fbsJwnLlQ+qAANLMDsytudHcq6nlvK3BBjoN+6BBz4ordNuWAlW/VEF28rBotuLRqM/H+Hk5YvHEWriZDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fd6ab34f12264816d5a156ddfb5fd0af0686e6df4ada26f6c202f63389fef3b","last_reissued_at":"2026-05-18T01:36:13.907472Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:13.907472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.0254","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I34goFoHawb2IX+qC7UvwG2FGF9xYOJ7yQpMuAonlpY2Wm0YTUsMkczt/fRfuLG+txHxGTNoI5qLdqDUTBBLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:21:21.335282Z"},"content_sha256":"8afa640c72016729375b4df7e9500ab6960ea86c19972cbbb46845ba0399030c","schema_version":"1.0","event_id":"sha256:8afa640c72016729375b4df7e9500ab6960ea86c19972cbbb46845ba0399030c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:P7LKWNHREJSIC3K2CVW57NP5BL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variational Inference for Gaussian Process Modulated Poisson Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Chris Lloyd, Michael A. Osborne, Stephen J. Roberts, Tom Gunter","submitted_at":"2014-11-02T13:04:30Z","abstract_excerpt":"We present the first fully variational Bayesian inference scheme for continuous Gaussian-process-modulated Poisson processes. Such point processes are used in a variety of domains, including neuroscience, geo-statistics and astronomy, but their use is hindered by the computational cost of existing inference schemes. Our scheme: requires no discretisation of the domain; scales linearly in the number of observed events; and is many orders of magnitude faster than previous sampling based approaches. The resulting algorithm is shown to outperform standard methods on synthetic examples, coal mining"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0254","kind":"arxiv","version":3},"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":"2026-05-18T01:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1EY6RhBWB/F1gDpRVsCec1SdECL/JhEnI9jgD+rWe/F2tVfnosA/H+FXghngQz1eExP6WKxl159UmkjhwgT2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:21:21.335667Z"},"content_sha256":"4f71218c003b6f9d3ef89cf5ebd3eb1a2247e9564656d45955a3996fb0b8a5a0","schema_version":"1.0","event_id":"sha256:4f71218c003b6f9d3ef89cf5ebd3eb1a2247e9564656d45955a3996fb0b8a5a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P7LKWNHREJSIC3K2CVW57NP5BL/bundle.json","state_url":"https://pith.science/pith/P7LKWNHREJSIC3K2CVW57NP5BL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P7LKWNHREJSIC3K2CVW57NP5BL/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":"2026-05-25T12:21:21Z","links":{"resolver":"https://pith.science/pith/P7LKWNHREJSIC3K2CVW57NP5BL","bundle":"https://pith.science/pith/P7LKWNHREJSIC3K2CVW57NP5BL/bundle.json","state":"https://pith.science/pith/P7LKWNHREJSIC3K2CVW57NP5BL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P7LKWNHREJSIC3K2CVW57NP5BL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:P7LKWNHREJSIC3K2CVW57NP5BL","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":"c4e731debdfd34dbd2c0f255b03be0c832374ce701f189914b2fa29bc91bad91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-11-02T13:04:30Z","title_canon_sha256":"a280e02e32f1ab07349cb2669a446ec337d2d98e15187bb99d41cc6969326735"},"schema_version":"1.0","source":{"id":"1411.0254","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0254","created_at":"2026-05-18T01:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0254v3","created_at":"2026-05-18T01:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0254","created_at":"2026-05-18T01:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"P7LKWNHREJSI","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P7LKWNHREJSIC3K2","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P7LKWNHR","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:4f71218c003b6f9d3ef89cf5ebd3eb1a2247e9564656d45955a3996fb0b8a5a0","target":"graph","created_at":"2026-05-18T01:36:13Z","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 the first fully variational Bayesian inference scheme for continuous Gaussian-process-modulated Poisson processes. Such point processes are used in a variety of domains, including neuroscience, geo-statistics and astronomy, but their use is hindered by the computational cost of existing inference schemes. Our scheme: requires no discretisation of the domain; scales linearly in the number of observed events; and is many orders of magnitude faster than previous sampling based approaches. The resulting algorithm is shown to outperform standard methods on synthetic examples, coal mining","authors_text":"Chris Lloyd, Michael A. Osborne, Stephen J. Roberts, Tom Gunter","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-11-02T13:04:30Z","title":"Variational Inference for Gaussian Process Modulated Poisson Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0254","kind":"arxiv","version":3},"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":"sha256:8afa640c72016729375b4df7e9500ab6960ea86c19972cbbb46845ba0399030c","target":"record","created_at":"2026-05-18T01:36:13Z","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":"c4e731debdfd34dbd2c0f255b03be0c832374ce701f189914b2fa29bc91bad91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-11-02T13:04:30Z","title_canon_sha256":"a280e02e32f1ab07349cb2669a446ec337d2d98e15187bb99d41cc6969326735"},"schema_version":"1.0","source":{"id":"1411.0254","kind":"arxiv","version":3}},"canonical_sha256":"7fd6ab34f12264816d5a156ddfb5fd0af0686e6df4ada26f6c202f63389fef3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fd6ab34f12264816d5a156ddfb5fd0af0686e6df4ada26f6c202f63389fef3b","first_computed_at":"2026-05-18T01:36:13.907472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:13.907472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xie/fbsJwnLlQ+qAANLMDsytudHcq6nlvK3BBjoN+6BBz4ordNuWAlW/VEF28rBotuLRqM/H+Hk5YvHEWriZDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:13.908099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0254","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8afa640c72016729375b4df7e9500ab6960ea86c19972cbbb46845ba0399030c","sha256:4f71218c003b6f9d3ef89cf5ebd3eb1a2247e9564656d45955a3996fb0b8a5a0"],"state_sha256":"06db0ce76bb79d9aa4af8bceedce09fde29f19052d766785b5886921fd88e15b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NdsgD5fgI34gwuUuZ6c1QqAOd0dOKcr2Ebvi6InVEkMUW9W/rcFdgi+ZIMmuWQYNHnOzdvGrp6xWsgPG6vxbDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T12:21:21.338256Z","bundle_sha256":"a4c236c997011e06f665b91790d4b4cfbb15dfd30bbc6c7c9132fd7a8ba35107"}}