{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LVG4L7NJAI2IAMYBSGVR3KXIHE","short_pith_number":"pith:LVG4L7NJ","canonical_record":{"source":{"id":"1606.06130","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-06-20T14:14:46Z","cross_cats_sorted":[],"title_canon_sha256":"c3516fb9e675afe6e4b3971d5c50011b2989f35cf6173d649021fd9f98bfa5d0","abstract_canon_sha256":"d00d103a2972bb5756cd34c1200861588aca7e43a74749ced34b5255928d0c2c"},"schema_version":"1.0"},"canonical_sha256":"5d4dc5fda9023480330191ab1daae8391da7394f7d80d47b6eb66b754c048998","source":{"kind":"arxiv","id":"1606.06130","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06130","created_at":"2026-05-18T00:45:15Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06130v2","created_at":"2026-05-18T00:45:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06130","created_at":"2026-05-18T00:45:15Z"},{"alias_kind":"pith_short_12","alias_value":"LVG4L7NJAI2I","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LVG4L7NJAI2IAMYB","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LVG4L7NJ","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LVG4L7NJAI2IAMYBSGVR3KXIHE","target":"record","payload":{"canonical_record":{"source":{"id":"1606.06130","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-06-20T14:14:46Z","cross_cats_sorted":[],"title_canon_sha256":"c3516fb9e675afe6e4b3971d5c50011b2989f35cf6173d649021fd9f98bfa5d0","abstract_canon_sha256":"d00d103a2972bb5756cd34c1200861588aca7e43a74749ced34b5255928d0c2c"},"schema_version":"1.0"},"canonical_sha256":"5d4dc5fda9023480330191ab1daae8391da7394f7d80d47b6eb66b754c048998","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:15.942713Z","signature_b64":"m3beHA7NDxmSl9c3lXHgtlWaDdQzOV85MQ7XHu/xyBmitS5CQCUBZOkAyme8HTCwxkuGy03bWoKN/VSYpbzWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d4dc5fda9023480330191ab1daae8391da7394f7d80d47b6eb66b754c048998","last_reissued_at":"2026-05-18T00:45:15.942073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:15.942073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.06130","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2T+wUYpoCG9dm96QVY7Aun340ENXIkt6F2nRC94N1SADngNkqGSglTClnkgEQagfIV7g6Ry+XW962xQ+NVF0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:03:34.985412Z"},"content_sha256":"81bcc1d42de6d5f101ce14a05e87589ee12d49ed79673a21bbfe81f90d6161f3","schema_version":"1.0","event_id":"sha256:81bcc1d42de6d5f101ce14a05e87589ee12d49ed79673a21bbfe81f90d6161f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LVG4L7NJAI2IAMYBSGVR3KXIHE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new characterization of the jump rate for piecewise-deterministic Markov processes with discrete transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Alexandre Genadot, Romain Aza\\\"is","submitted_at":"2016-06-20T14:14:46Z","abstract_excerpt":"Piecewise-deterministic Markov processes form a general class of non-diffusion stochastic models that involve both deterministic trajectories and random jumps at random times. In this paper, we state a new characterization of the jump rate of such a process with discrete transitions. We deduce from this result a nonparametric technique for estimating this feature of interest. We state the uniform convergence in probability of the estimator. The methodology is illustrated on a numerical example."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06130","kind":"arxiv","version":2},"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":"2026-05-18T00:45:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GSQsB8G+lhL7ET96oRxCm8CLDslTC8f1ZD60ilDZOIOYEEmgZK9LXPZeZoatISMjpQjEnq4H0wNS1jHIM8lwDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:03:34.986006Z"},"content_sha256":"4f0f80511f45d5fa641f28733197ab6cccd3649ba773be427484e9b170c429ba","schema_version":"1.0","event_id":"sha256:4f0f80511f45d5fa641f28733197ab6cccd3649ba773be427484e9b170c429ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LVG4L7NJAI2IAMYBSGVR3KXIHE/bundle.json","state_url":"https://pith.science/pith/LVG4L7NJAI2IAMYBSGVR3KXIHE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LVG4L7NJAI2IAMYBSGVR3KXIHE/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":"2026-05-31T05:03:34Z","links":{"resolver":"https://pith.science/pith/LVG4L7NJAI2IAMYBSGVR3KXIHE","bundle":"https://pith.science/pith/LVG4L7NJAI2IAMYBSGVR3KXIHE/bundle.json","state":"https://pith.science/pith/LVG4L7NJAI2IAMYBSGVR3KXIHE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LVG4L7NJAI2IAMYBSGVR3KXIHE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LVG4L7NJAI2IAMYBSGVR3KXIHE","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":"d00d103a2972bb5756cd34c1200861588aca7e43a74749ced34b5255928d0c2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-06-20T14:14:46Z","title_canon_sha256":"c3516fb9e675afe6e4b3971d5c50011b2989f35cf6173d649021fd9f98bfa5d0"},"schema_version":"1.0","source":{"id":"1606.06130","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06130","created_at":"2026-05-18T00:45:15Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06130v2","created_at":"2026-05-18T00:45:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06130","created_at":"2026-05-18T00:45:15Z"},{"alias_kind":"pith_short_12","alias_value":"LVG4L7NJAI2I","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LVG4L7NJAI2IAMYB","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LVG4L7NJ","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:4f0f80511f45d5fa641f28733197ab6cccd3649ba773be427484e9b170c429ba","target":"graph","created_at":"2026-05-18T00:45:15Z","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":"Piecewise-deterministic Markov processes form a general class of non-diffusion stochastic models that involve both deterministic trajectories and random jumps at random times. In this paper, we state a new characterization of the jump rate of such a process with discrete transitions. We deduce from this result a nonparametric technique for estimating this feature of interest. We state the uniform convergence in probability of the estimator. The methodology is illustrated on a numerical example.","authors_text":"Alexandre Genadot, Romain Aza\\\"is","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-06-20T14:14:46Z","title":"A new characterization of the jump rate for piecewise-deterministic Markov processes with discrete transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06130","kind":"arxiv","version":2},"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":"sha256:81bcc1d42de6d5f101ce14a05e87589ee12d49ed79673a21bbfe81f90d6161f3","target":"record","created_at":"2026-05-18T00:45:15Z","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":"d00d103a2972bb5756cd34c1200861588aca7e43a74749ced34b5255928d0c2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-06-20T14:14:46Z","title_canon_sha256":"c3516fb9e675afe6e4b3971d5c50011b2989f35cf6173d649021fd9f98bfa5d0"},"schema_version":"1.0","source":{"id":"1606.06130","kind":"arxiv","version":2}},"canonical_sha256":"5d4dc5fda9023480330191ab1daae8391da7394f7d80d47b6eb66b754c048998","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d4dc5fda9023480330191ab1daae8391da7394f7d80d47b6eb66b754c048998","first_computed_at":"2026-05-18T00:45:15.942073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:15.942073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m3beHA7NDxmSl9c3lXHgtlWaDdQzOV85MQ7XHu/xyBmitS5CQCUBZOkAyme8HTCwxkuGy03bWoKN/VSYpbzWBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:15.942713Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06130","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81bcc1d42de6d5f101ce14a05e87589ee12d49ed79673a21bbfe81f90d6161f3","sha256:4f0f80511f45d5fa641f28733197ab6cccd3649ba773be427484e9b170c429ba"],"state_sha256":"bb9f01a77db8c745df19804cfc93657c5eb0bf337e4cb0aad502c86e6746b570"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EVFv7xMwlnpZx3YPFywfgeuCx+KRsBseOsqMeLboMPq5SWYKk7Drut+vA23sYsKfPkrFCa4vyUNXydlGccFXCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:03:34.989794Z","bundle_sha256":"dae33eebd995d75902ef1cffa26a0a98c62f4564855870735bb732aa74698ed8"}}