{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3XOWOMXECDYP6OJTOLEITTWU6U","short_pith_number":"pith:3XOWOMXE","canonical_record":{"source":{"id":"1101.5279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-27T13:18:39Z","cross_cats_sorted":[],"title_canon_sha256":"c5bd88a557ab8c02b0f17bd373b00dabbb77b050ecf72361ee7ab727d0cdee99","abstract_canon_sha256":"50e8fe99fb0249f48df74872e7e4f0ea5680b809fb5589afbed4bdd380182c73"},"schema_version":"1.0"},"canonical_sha256":"dddd6732e410f0ff393372c889ced4f51aa7ff1c447d0ed35875b075abf1c929","source":{"kind":"arxiv","id":"1101.5279","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5279","created_at":"2026-05-18T04:30:35Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5279v1","created_at":"2026-05-18T04:30:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5279","created_at":"2026-05-18T04:30:35Z"},{"alias_kind":"pith_short_12","alias_value":"3XOWOMXECDYP","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"3XOWOMXECDYP6OJT","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"3XOWOMXE","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3XOWOMXECDYP6OJTOLEITTWU6U","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-27T13:18:39Z","cross_cats_sorted":[],"title_canon_sha256":"c5bd88a557ab8c02b0f17bd373b00dabbb77b050ecf72361ee7ab727d0cdee99","abstract_canon_sha256":"50e8fe99fb0249f48df74872e7e4f0ea5680b809fb5589afbed4bdd380182c73"},"schema_version":"1.0"},"canonical_sha256":"dddd6732e410f0ff393372c889ced4f51aa7ff1c447d0ed35875b075abf1c929","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:35.777366Z","signature_b64":"ysNn8kIXF+GkTxoznJSvWYOURAKl8fIwtpngqxcrjNFS+oygtaqDoXbAsSRUy4KtpiS3VtObVDJr1qqRrLrHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dddd6732e410f0ff393372c889ced4f51aa7ff1c447d0ed35875b075abf1c929","last_reissued_at":"2026-05-18T04:30:35.776768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:35.776768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5279","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":"2026-05-18T04:30:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vipkd2/Ni+pIeN3yB5jMlpDYThpPv6tKWfHXuduVY+Bc5DlAotvt1/o7n4AbAoKhFRZn57mz4s1AkkjMVPlgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:43:38.328060Z"},"content_sha256":"fd8c499830601f2130c57e9dd078b31423f9bf909e9054ec5ba241c04e1edc9a","schema_version":"1.0","event_id":"sha256:fd8c499830601f2130c57e9dd078b31423f9bf909e9054ec5ba241c04e1edc9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3XOWOMXECDYP6OJTOLEITTWU6U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exit problems for oscillating compound Poisson process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Tetyana Kadankova","submitted_at":"2011-01-27T13:18:39Z","abstract_excerpt":"In this article we determine the Laplace transforms of the main boundary functionals of the oscillating compound Poisson process. These are the first passage time of the level, the joint distribution of the first exit time from the interval and the value of the overshoot through the boundary. Under certain conditions we establish the asymptotic behaviour of the mentioned functionals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5279","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":"2026-05-18T04:30:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eXlIaZg1kSW2PzBwIcaRqhAM6ir9wXXlBbLaVU7oSRnpa8/LP+GzNjwLXCLBjEDFDnrNQGvy3ZCQr3komwtZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:43:38.328417Z"},"content_sha256":"093b163a58aabf72e1fc766697bf4c65333c95779f3bd0ebefdfa6dc51b79b7c","schema_version":"1.0","event_id":"sha256:093b163a58aabf72e1fc766697bf4c65333c95779f3bd0ebefdfa6dc51b79b7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3XOWOMXECDYP6OJTOLEITTWU6U/bundle.json","state_url":"https://pith.science/pith/3XOWOMXECDYP6OJTOLEITTWU6U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3XOWOMXECDYP6OJTOLEITTWU6U/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":"2026-06-27T19:43:38Z","links":{"resolver":"https://pith.science/pith/3XOWOMXECDYP6OJTOLEITTWU6U","bundle":"https://pith.science/pith/3XOWOMXECDYP6OJTOLEITTWU6U/bundle.json","state":"https://pith.science/pith/3XOWOMXECDYP6OJTOLEITTWU6U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3XOWOMXECDYP6OJTOLEITTWU6U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3XOWOMXECDYP6OJTOLEITTWU6U","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":"50e8fe99fb0249f48df74872e7e4f0ea5680b809fb5589afbed4bdd380182c73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-27T13:18:39Z","title_canon_sha256":"c5bd88a557ab8c02b0f17bd373b00dabbb77b050ecf72361ee7ab727d0cdee99"},"schema_version":"1.0","source":{"id":"1101.5279","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5279","created_at":"2026-05-18T04:30:35Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5279v1","created_at":"2026-05-18T04:30:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5279","created_at":"2026-05-18T04:30:35Z"},{"alias_kind":"pith_short_12","alias_value":"3XOWOMXECDYP","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"3XOWOMXECDYP6OJT","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"3XOWOMXE","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:093b163a58aabf72e1fc766697bf4c65333c95779f3bd0ebefdfa6dc51b79b7c","target":"graph","created_at":"2026-05-18T04:30:35Z","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":"In this article we determine the Laplace transforms of the main boundary functionals of the oscillating compound Poisson process. These are the first passage time of the level, the joint distribution of the first exit time from the interval and the value of the overshoot through the boundary. Under certain conditions we establish the asymptotic behaviour of the mentioned functionals.","authors_text":"Tetyana Kadankova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-27T13:18:39Z","title":"Exit problems for oscillating compound Poisson process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5279","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:fd8c499830601f2130c57e9dd078b31423f9bf909e9054ec5ba241c04e1edc9a","target":"record","created_at":"2026-05-18T04:30:35Z","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":"50e8fe99fb0249f48df74872e7e4f0ea5680b809fb5589afbed4bdd380182c73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-27T13:18:39Z","title_canon_sha256":"c5bd88a557ab8c02b0f17bd373b00dabbb77b050ecf72361ee7ab727d0cdee99"},"schema_version":"1.0","source":{"id":"1101.5279","kind":"arxiv","version":1}},"canonical_sha256":"dddd6732e410f0ff393372c889ced4f51aa7ff1c447d0ed35875b075abf1c929","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dddd6732e410f0ff393372c889ced4f51aa7ff1c447d0ed35875b075abf1c929","first_computed_at":"2026-05-18T04:30:35.776768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:35.776768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ysNn8kIXF+GkTxoznJSvWYOURAKl8fIwtpngqxcrjNFS+oygtaqDoXbAsSRUy4KtpiS3VtObVDJr1qqRrLrHDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:35.777366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5279","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd8c499830601f2130c57e9dd078b31423f9bf909e9054ec5ba241c04e1edc9a","sha256:093b163a58aabf72e1fc766697bf4c65333c95779f3bd0ebefdfa6dc51b79b7c"],"state_sha256":"0c1d683741eb792394339307e6be19e2fbb7badc77b25de64d214f5aee0ae6d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+9KM1JAJIbwZJE0Z0qfb2aY4wFuyuECVScRJwJpYczvecRM0ssyjFaakqrtXXIc8tZ7ap0q0HLA6eEOhsirqDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T19:43:38.331357Z","bundle_sha256":"a0c007c005cd07bdcea60140e359b91b7c18db48a2930f495c9720fe46729cec"}}