{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:G457J36W64CV3BVJ54NND4TK3V","short_pith_number":"pith:G457J36W","canonical_record":{"source":{"id":"1506.07870","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-06-25T19:48:05Z","cross_cats_sorted":[],"title_canon_sha256":"5e7badbef21916b2ff46d162113fa4ade7118d79f24be65a467612606ba4990e","abstract_canon_sha256":"fbbdfac015ce8d51d4662b0f070951e6ee5d5de038cb4668a2ec8acf2f029ec2"},"schema_version":"1.0"},"canonical_sha256":"373bf4efd6f7055d86a9ef1ad1f26add402e348a4248dfbaee9b3c8766a97ce2","source":{"kind":"arxiv","id":"1506.07870","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07870","created_at":"2026-05-18T01:12:00Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07870v2","created_at":"2026-05-18T01:12:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07870","created_at":"2026-05-18T01:12:00Z"},{"alias_kind":"pith_short_12","alias_value":"G457J36W64CV","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G457J36W64CV3BVJ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G457J36W","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:G457J36W64CV3BVJ54NND4TK3V","target":"record","payload":{"canonical_record":{"source":{"id":"1506.07870","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-06-25T19:48:05Z","cross_cats_sorted":[],"title_canon_sha256":"5e7badbef21916b2ff46d162113fa4ade7118d79f24be65a467612606ba4990e","abstract_canon_sha256":"fbbdfac015ce8d51d4662b0f070951e6ee5d5de038cb4668a2ec8acf2f029ec2"},"schema_version":"1.0"},"canonical_sha256":"373bf4efd6f7055d86a9ef1ad1f26add402e348a4248dfbaee9b3c8766a97ce2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:00.383615Z","signature_b64":"sYjor42DOUsymh1nza8S4GjI2HyTM1kwYUhLT2i/lGlkST8fj3NFtfIuL5MdDyhmDM0817ObOaBtqOCSx8KLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"373bf4efd6f7055d86a9ef1ad1f26add402e348a4248dfbaee9b3c8766a97ce2","last_reissued_at":"2026-05-18T01:12:00.383210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:00.383210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.07870","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":"2026-05-18T01:12:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"74L1h8mDGFKhGi+vQcWjVs/GlNNGjq0cVwkRTxfMQBjwmPU2WV+qHoQtMeLzqEuUYRdfd9zbP7QTZ3iKoL+FAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:12:54.692395Z"},"content_sha256":"2c85c14d76eb94d3185c9efb131cab61273863091ad8fbaf2bc6dc22ddf9d321","schema_version":"1.0","event_id":"sha256:2c85c14d76eb94d3185c9efb131cab61273863091ad8fbaf2bc6dc22ddf9d321"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:G457J36W64CV3BVJ54NND4TK3V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conditioning subordinators embedded in Markov processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andreas E. Kyprianou, Bati Sengul, Victor Rivero","submitted_at":"2015-06-25T19:48:05Z","abstract_excerpt":"The running infimum of a Levy process relative to its point of issue is know to have the same range that of the negative of a certain subordinator. Conditioning a Levy process issued from a strictly positive value to stay positive may therefore be seen as implicitly conditioning its descending ladder heigh subordinator to remain in a strip. Motivated by this observation, we consider the general problem of conditioning a subordinator to remain in a strip. Thereafter we consider more general contexts in which subordinators embedded in the path decompositions of Markov processes are conditioned t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07870","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":"2026-05-18T01:12:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S/nsTfdivrtEyoMJRFxgsCfwyAUPqjQwnBp27sibYI6BoSOHCO1C9gD6yXMI35WxKvry5njIdtelKDfRyOMGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:12:54.693160Z"},"content_sha256":"f48e3724c16a29256ef935c521c034ada356e461d09258e73eb9d800495abb94","schema_version":"1.0","event_id":"sha256:f48e3724c16a29256ef935c521c034ada356e461d09258e73eb9d800495abb94"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G457J36W64CV3BVJ54NND4TK3V/bundle.json","state_url":"https://pith.science/pith/G457J36W64CV3BVJ54NND4TK3V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G457J36W64CV3BVJ54NND4TK3V/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":"2026-06-02T13:12:54Z","links":{"resolver":"https://pith.science/pith/G457J36W64CV3BVJ54NND4TK3V","bundle":"https://pith.science/pith/G457J36W64CV3BVJ54NND4TK3V/bundle.json","state":"https://pith.science/pith/G457J36W64CV3BVJ54NND4TK3V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G457J36W64CV3BVJ54NND4TK3V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:G457J36W64CV3BVJ54NND4TK3V","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":"fbbdfac015ce8d51d4662b0f070951e6ee5d5de038cb4668a2ec8acf2f029ec2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-06-25T19:48:05Z","title_canon_sha256":"5e7badbef21916b2ff46d162113fa4ade7118d79f24be65a467612606ba4990e"},"schema_version":"1.0","source":{"id":"1506.07870","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07870","created_at":"2026-05-18T01:12:00Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07870v2","created_at":"2026-05-18T01:12:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07870","created_at":"2026-05-18T01:12:00Z"},{"alias_kind":"pith_short_12","alias_value":"G457J36W64CV","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G457J36W64CV3BVJ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G457J36W","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:f48e3724c16a29256ef935c521c034ada356e461d09258e73eb9d800495abb94","target":"graph","created_at":"2026-05-18T01:12:00Z","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":"The running infimum of a Levy process relative to its point of issue is know to have the same range that of the negative of a certain subordinator. Conditioning a Levy process issued from a strictly positive value to stay positive may therefore be seen as implicitly conditioning its descending ladder heigh subordinator to remain in a strip. Motivated by this observation, we consider the general problem of conditioning a subordinator to remain in a strip. Thereafter we consider more general contexts in which subordinators embedded in the path decompositions of Markov processes are conditioned t","authors_text":"Andreas E. Kyprianou, Bati Sengul, Victor Rivero","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-06-25T19:48:05Z","title":"Conditioning subordinators embedded in Markov processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07870","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":"sha256:2c85c14d76eb94d3185c9efb131cab61273863091ad8fbaf2bc6dc22ddf9d321","target":"record","created_at":"2026-05-18T01:12:00Z","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":"fbbdfac015ce8d51d4662b0f070951e6ee5d5de038cb4668a2ec8acf2f029ec2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-06-25T19:48:05Z","title_canon_sha256":"5e7badbef21916b2ff46d162113fa4ade7118d79f24be65a467612606ba4990e"},"schema_version":"1.0","source":{"id":"1506.07870","kind":"arxiv","version":2}},"canonical_sha256":"373bf4efd6f7055d86a9ef1ad1f26add402e348a4248dfbaee9b3c8766a97ce2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"373bf4efd6f7055d86a9ef1ad1f26add402e348a4248dfbaee9b3c8766a97ce2","first_computed_at":"2026-05-18T01:12:00.383210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:00.383210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sYjor42DOUsymh1nza8S4GjI2HyTM1kwYUhLT2i/lGlkST8fj3NFtfIuL5MdDyhmDM0817ObOaBtqOCSx8KLDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:00.383615Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07870","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c85c14d76eb94d3185c9efb131cab61273863091ad8fbaf2bc6dc22ddf9d321","sha256:f48e3724c16a29256ef935c521c034ada356e461d09258e73eb9d800495abb94"],"state_sha256":"b18d83367fc7fc38841fa418dfebfd938e9d945940829da65be886aa36ddd6ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EcVvHClJ0VoGv105G2HfKG7EO8g3g1oR4AaptY2in4u05diUbT0druRomWdF3Kby4+5KZLNQ4iUc9lkGPdZJCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:12:54.697363Z","bundle_sha256":"00ea222c826199e3074b39b1834344b4f0c16180c54e7e6c352fc2f14236a808"}}