{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NCPINC3W5WYX3A73XKIGYPPTTO","short_pith_number":"pith:NCPINC3W","canonical_record":{"source":{"id":"1708.09605","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-31T08:08:05Z","cross_cats_sorted":[],"title_canon_sha256":"d6f04a7891fb34d2ce4ec4fdbca3a0258c49228c335d2b600c918bd7c8ae2ab1","abstract_canon_sha256":"48cadd72c8b7f20e8bc1459a97d8cf39f471091470af403fd9075d65094ff133"},"schema_version":"1.0"},"canonical_sha256":"689e868b76edb17d83fbba906c3df39bb54edc68e20ea99e7104b828e0d79aa8","source":{"kind":"arxiv","id":"1708.09605","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09605","created_at":"2026-05-17T23:46:46Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09605v3","created_at":"2026-05-17T23:46:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09605","created_at":"2026-05-17T23:46:46Z"},{"alias_kind":"pith_short_12","alias_value":"NCPINC3W5WYX","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NCPINC3W5WYX3A73","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NCPINC3W","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NCPINC3W5WYX3A73XKIGYPPTTO","target":"record","payload":{"canonical_record":{"source":{"id":"1708.09605","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-31T08:08:05Z","cross_cats_sorted":[],"title_canon_sha256":"d6f04a7891fb34d2ce4ec4fdbca3a0258c49228c335d2b600c918bd7c8ae2ab1","abstract_canon_sha256":"48cadd72c8b7f20e8bc1459a97d8cf39f471091470af403fd9075d65094ff133"},"schema_version":"1.0"},"canonical_sha256":"689e868b76edb17d83fbba906c3df39bb54edc68e20ea99e7104b828e0d79aa8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:46.545063Z","signature_b64":"D9Nb0oCSE4xADo71cXsDWXJyGCb3RaBPIlN5vDS6bxjIsmxwRaXMiu4vQGS27Kpreg0lkLv6G6fnRoToaiT+DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"689e868b76edb17d83fbba906c3df39bb54edc68e20ea99e7104b828e0d79aa8","last_reissued_at":"2026-05-17T23:46:46.544412Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:46.544412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.09605","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":"2026-05-17T23:46:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q3SvD0fzsxokXfYz9BynsjYWk29INHG2kfGSAQntCWseDFy0M5lPqlAgCwa+JW2DbXbkQZwhIeBeO4rjiyhhDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:40:38.563882Z"},"content_sha256":"b348ef3dbeee88144da718f68b7d2b14a316fbbfbeee54fc8e597e3ce1664676","schema_version":"1.0","event_id":"sha256:b348ef3dbeee88144da718f68b7d2b14a316fbbfbeee54fc8e597e3ce1664676"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NCPINC3W5WYX3A73XKIGYPPTTO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The exact asymptotics of the large deviation probabilities in the multivariate boundary crossing problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Konstantin Borovkov, Yuqing Pan","submitted_at":"2017-08-31T08:08:05Z","abstract_excerpt":"For a multivariate random walk with i.i.d. jumps satisfying the Cramer moment condition and having a mean vector with at least one negative component, we derive the exact asymptotics of the probability of ever hitting the positive orthant that is being translated to infinity along a fixed vector with positive components. This problem is motivated by and extends results from a paper by F. Avram et al. (2008) on a two-dimensional risk process. Our approach combines the large deviation techniques from a recent series of papers by A. Borovkov and A. Mogulskii with new auxiliary constructions, whic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09605","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":"2026-05-17T23:46:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jBu+ZeOv8c7/vxn2y4cGx0tXGe+uF+gmkcSShPwB5T1ddeVZqHYGU65A/5OYTtWNDdRuHuGkeTube5aF1PpXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:40:38.564252Z"},"content_sha256":"a76cb07a47c5b5275da365b5f4af6273157a617f0c5c41d360fc3273933c7b69","schema_version":"1.0","event_id":"sha256:a76cb07a47c5b5275da365b5f4af6273157a617f0c5c41d360fc3273933c7b69"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCPINC3W5WYX3A73XKIGYPPTTO/bundle.json","state_url":"https://pith.science/pith/NCPINC3W5WYX3A73XKIGYPPTTO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCPINC3W5WYX3A73XKIGYPPTTO/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":"2026-06-09T16:40:38Z","links":{"resolver":"https://pith.science/pith/NCPINC3W5WYX3A73XKIGYPPTTO","bundle":"https://pith.science/pith/NCPINC3W5WYX3A73XKIGYPPTTO/bundle.json","state":"https://pith.science/pith/NCPINC3W5WYX3A73XKIGYPPTTO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCPINC3W5WYX3A73XKIGYPPTTO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NCPINC3W5WYX3A73XKIGYPPTTO","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":"48cadd72c8b7f20e8bc1459a97d8cf39f471091470af403fd9075d65094ff133","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-31T08:08:05Z","title_canon_sha256":"d6f04a7891fb34d2ce4ec4fdbca3a0258c49228c335d2b600c918bd7c8ae2ab1"},"schema_version":"1.0","source":{"id":"1708.09605","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09605","created_at":"2026-05-17T23:46:46Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09605v3","created_at":"2026-05-17T23:46:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09605","created_at":"2026-05-17T23:46:46Z"},{"alias_kind":"pith_short_12","alias_value":"NCPINC3W5WYX","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NCPINC3W5WYX3A73","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NCPINC3W","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:a76cb07a47c5b5275da365b5f4af6273157a617f0c5c41d360fc3273933c7b69","target":"graph","created_at":"2026-05-17T23:46:46Z","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":"For a multivariate random walk with i.i.d. jumps satisfying the Cramer moment condition and having a mean vector with at least one negative component, we derive the exact asymptotics of the probability of ever hitting the positive orthant that is being translated to infinity along a fixed vector with positive components. This problem is motivated by and extends results from a paper by F. Avram et al. (2008) on a two-dimensional risk process. Our approach combines the large deviation techniques from a recent series of papers by A. Borovkov and A. Mogulskii with new auxiliary constructions, whic","authors_text":"Konstantin Borovkov, Yuqing Pan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-31T08:08:05Z","title":"The exact asymptotics of the large deviation probabilities in the multivariate boundary crossing problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09605","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:b348ef3dbeee88144da718f68b7d2b14a316fbbfbeee54fc8e597e3ce1664676","target":"record","created_at":"2026-05-17T23:46:46Z","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":"48cadd72c8b7f20e8bc1459a97d8cf39f471091470af403fd9075d65094ff133","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-31T08:08:05Z","title_canon_sha256":"d6f04a7891fb34d2ce4ec4fdbca3a0258c49228c335d2b600c918bd7c8ae2ab1"},"schema_version":"1.0","source":{"id":"1708.09605","kind":"arxiv","version":3}},"canonical_sha256":"689e868b76edb17d83fbba906c3df39bb54edc68e20ea99e7104b828e0d79aa8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"689e868b76edb17d83fbba906c3df39bb54edc68e20ea99e7104b828e0d79aa8","first_computed_at":"2026-05-17T23:46:46.544412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:46.544412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D9Nb0oCSE4xADo71cXsDWXJyGCb3RaBPIlN5vDS6bxjIsmxwRaXMiu4vQGS27Kpreg0lkLv6G6fnRoToaiT+DQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:46.545063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.09605","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b348ef3dbeee88144da718f68b7d2b14a316fbbfbeee54fc8e597e3ce1664676","sha256:a76cb07a47c5b5275da365b5f4af6273157a617f0c5c41d360fc3273933c7b69"],"state_sha256":"fc9109f388d09e8b1ce1256904fe8d3c9dbd291ce844db45ec0eb1de87037fbc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gZMIpX1wEzHUszQC3KUahgw1L1+sgKftuZoQ7xxx+hqDBq64EHw11AIOAfS0nNyv4y0DtWu3IOkKKRnO/EZMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T16:40:38.566358Z","bundle_sha256":"4cd5c3166ed82b932429248df0b471a07df0b8adc45ab8b2db21d387f0abe625"}}