{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:6KAZPSB5DAFPFUNBNGVAV5GNCT","short_pith_number":"pith:6KAZPSB5","canonical_record":{"source":{"id":"1705.06881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-19T07:44:57Z","cross_cats_sorted":[],"title_canon_sha256":"d44764e86384578b0baf7148975926b1d0c6b67a58c3f1cea4526aa183983a18","abstract_canon_sha256":"5873b15e8e87b86edce7e137204be0d343d9af99262c0456ce39d517a1fa8d74"},"schema_version":"1.0"},"canonical_sha256":"f28197c83d180af2d1a169aa0af4cd14f1238f61f5bfb9e366510ac2f4332d4e","source":{"kind":"arxiv","id":"1705.06881","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06881","created_at":"2026-05-18T00:44:11Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06881v1","created_at":"2026-05-18T00:44:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06881","created_at":"2026-05-18T00:44:11Z"},{"alias_kind":"pith_short_12","alias_value":"6KAZPSB5DAFP","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6KAZPSB5DAFPFUNB","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6KAZPSB5","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:6KAZPSB5DAFPFUNBNGVAV5GNCT","target":"record","payload":{"canonical_record":{"source":{"id":"1705.06881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-19T07:44:57Z","cross_cats_sorted":[],"title_canon_sha256":"d44764e86384578b0baf7148975926b1d0c6b67a58c3f1cea4526aa183983a18","abstract_canon_sha256":"5873b15e8e87b86edce7e137204be0d343d9af99262c0456ce39d517a1fa8d74"},"schema_version":"1.0"},"canonical_sha256":"f28197c83d180af2d1a169aa0af4cd14f1238f61f5bfb9e366510ac2f4332d4e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:11.065688Z","signature_b64":"91keBWcE6TqyD47kKruqF57hcmmrxY0sTRIgw1J5KgT70kHitZDsP1uwX4/BW554tPgr9aa35BaedfQ6KSGTDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f28197c83d180af2d1a169aa0af4cd14f1238f61f5bfb9e366510ac2f4332d4e","last_reissued_at":"2026-05-18T00:44:11.065152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:11.065152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.06881","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":"2026-05-18T00:44:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t3H82xbYLa0TS+zv7tVAj/5E8CeO8CjqoNwekSRBd2zKD1e1Y6YG2xnegX0LrLffEsy/kpOtM+MAclZY4jsuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T02:54:47.424813Z"},"content_sha256":"9d3e7a33b6e38afbaee0dfb998608de47c78483f4b5e5cae98cb99fad3c40cf5","schema_version":"1.0","event_id":"sha256:9d3e7a33b6e38afbaee0dfb998608de47c78483f4b5e5cae98cb99fad3c40cf5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:6KAZPSB5DAFPFUNBNGVAV5GNCT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact simulation of the first-passage time of diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Cristina Zucca, Samuel Herrmann (IMB)","submitted_at":"2017-05-19T07:44:57Z","abstract_excerpt":"Since diffusion processes arise in so many different fields, efficient tech-nics for the simulation of sample paths, like discretization schemes, represent crucial tools in applied probability. Such methods permit to obtain approximations of the first-passage times as a by-product. For efficiency reasons, it is particularly challenging to simulate directly this hitting time by avoiding to construct the whole paths. In the Brownian case, the distribution of the first-passage time is explicitly known and can be easily used for simulation purposes. The authors introduce a new rejection sampling a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06881","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":"2026-05-18T00:44:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1R/dFaffQVULbNb3pE3SOD+Bvw0PNksYbSLo2/jm6DxBAnlN1lRVHuOsHpqPf4Aysia+hW7gvlAQm7g7g3jUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T02:54:47.425154Z"},"content_sha256":"6c5a21dfccfbf281ea6dbf6deed4cb451300158686015ab1fef44d9414559390","schema_version":"1.0","event_id":"sha256:6c5a21dfccfbf281ea6dbf6deed4cb451300158686015ab1fef44d9414559390"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6KAZPSB5DAFPFUNBNGVAV5GNCT/bundle.json","state_url":"https://pith.science/pith/6KAZPSB5DAFPFUNBNGVAV5GNCT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6KAZPSB5DAFPFUNBNGVAV5GNCT/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":"2026-06-20T02:54:47Z","links":{"resolver":"https://pith.science/pith/6KAZPSB5DAFPFUNBNGVAV5GNCT","bundle":"https://pith.science/pith/6KAZPSB5DAFPFUNBNGVAV5GNCT/bundle.json","state":"https://pith.science/pith/6KAZPSB5DAFPFUNBNGVAV5GNCT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6KAZPSB5DAFPFUNBNGVAV5GNCT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6KAZPSB5DAFPFUNBNGVAV5GNCT","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":"5873b15e8e87b86edce7e137204be0d343d9af99262c0456ce39d517a1fa8d74","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-19T07:44:57Z","title_canon_sha256":"d44764e86384578b0baf7148975926b1d0c6b67a58c3f1cea4526aa183983a18"},"schema_version":"1.0","source":{"id":"1705.06881","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06881","created_at":"2026-05-18T00:44:11Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06881v1","created_at":"2026-05-18T00:44:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06881","created_at":"2026-05-18T00:44:11Z"},{"alias_kind":"pith_short_12","alias_value":"6KAZPSB5DAFP","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6KAZPSB5DAFPFUNB","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6KAZPSB5","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:6c5a21dfccfbf281ea6dbf6deed4cb451300158686015ab1fef44d9414559390","target":"graph","created_at":"2026-05-18T00:44:11Z","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":"Since diffusion processes arise in so many different fields, efficient tech-nics for the simulation of sample paths, like discretization schemes, represent crucial tools in applied probability. Such methods permit to obtain approximations of the first-passage times as a by-product. For efficiency reasons, it is particularly challenging to simulate directly this hitting time by avoiding to construct the whole paths. In the Brownian case, the distribution of the first-passage time is explicitly known and can be easily used for simulation purposes. The authors introduce a new rejection sampling a","authors_text":"Cristina Zucca, Samuel Herrmann (IMB)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-19T07:44:57Z","title":"Exact simulation of the first-passage time of diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06881","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":"sha256:9d3e7a33b6e38afbaee0dfb998608de47c78483f4b5e5cae98cb99fad3c40cf5","target":"record","created_at":"2026-05-18T00:44:11Z","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":"5873b15e8e87b86edce7e137204be0d343d9af99262c0456ce39d517a1fa8d74","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-19T07:44:57Z","title_canon_sha256":"d44764e86384578b0baf7148975926b1d0c6b67a58c3f1cea4526aa183983a18"},"schema_version":"1.0","source":{"id":"1705.06881","kind":"arxiv","version":1}},"canonical_sha256":"f28197c83d180af2d1a169aa0af4cd14f1238f61f5bfb9e366510ac2f4332d4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f28197c83d180af2d1a169aa0af4cd14f1238f61f5bfb9e366510ac2f4332d4e","first_computed_at":"2026-05-18T00:44:11.065152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:11.065152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"91keBWcE6TqyD47kKruqF57hcmmrxY0sTRIgw1J5KgT70kHitZDsP1uwX4/BW554tPgr9aa35BaedfQ6KSGTDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:11.065688Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.06881","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d3e7a33b6e38afbaee0dfb998608de47c78483f4b5e5cae98cb99fad3c40cf5","sha256:6c5a21dfccfbf281ea6dbf6deed4cb451300158686015ab1fef44d9414559390"],"state_sha256":"90d3e3169041fdf384a25c8f9956cf478344c3b9788644b564698de0752afddf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GoCtDfeu76r/SvTQWfu6RvQ0PiAKbngRWj6//zxoL497KzIK0CstCQCSbVA83FLtgqu8GXQT6Wi3+ZvaPTULAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T02:54:47.427018Z","bundle_sha256":"fd20e077d3aa4b063989dca567edfaba9268594d8e75f9192bacaae11ec7a764"}}