{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LOCZLTDJC3PFXUH7C3ZIHUK5C7","short_pith_number":"pith:LOCZLTDJ","canonical_record":{"source":{"id":"1808.05295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2018-08-15T22:23:08Z","cross_cats_sorted":["math.NA","math.PR"],"title_canon_sha256":"5089f627528d7b81e5c4ab3332ce6dd4031567e05e827c48b1d5f52e40b36735","abstract_canon_sha256":"c2be3c7490e6fe09487ccdc89aac52b3cda355689f458d0b9b9eb1995fac7c97"},"schema_version":"1.0"},"canonical_sha256":"5b8595cc6916de5bd0ff16f283d15d17f53b76c3f290fde06b530b369c700217","source":{"kind":"arxiv","id":"1808.05295","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05295","created_at":"2026-05-18T00:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05295v1","created_at":"2026-05-18T00:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05295","created_at":"2026-05-18T00:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"LOCZLTDJC3PF","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LOCZLTDJC3PFXUH7","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LOCZLTDJ","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LOCZLTDJC3PFXUH7C3ZIHUK5C7","target":"record","payload":{"canonical_record":{"source":{"id":"1808.05295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2018-08-15T22:23:08Z","cross_cats_sorted":["math.NA","math.PR"],"title_canon_sha256":"5089f627528d7b81e5c4ab3332ce6dd4031567e05e827c48b1d5f52e40b36735","abstract_canon_sha256":"c2be3c7490e6fe09487ccdc89aac52b3cda355689f458d0b9b9eb1995fac7c97"},"schema_version":"1.0"},"canonical_sha256":"5b8595cc6916de5bd0ff16f283d15d17f53b76c3f290fde06b530b369c700217","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:57.604380Z","signature_b64":"/RLX+DBflIs7Ku9QO3GLtfx6yaDJnALqr3xScH1qKc1nV8pB26m8FeYXcyi8Ff7DTol/b/8dhmyIuIdwj5djAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b8595cc6916de5bd0ff16f283d15d17f53b76c3f290fde06b530b369c700217","last_reissued_at":"2026-05-18T00:07:57.603717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:57.603717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.05295","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":"2026-05-18T00:07:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cTd7lR4OXTNWtd+bWYEiV7sEfxpYQVyzs88bjI7IAh3Dz+7H2WACGlCcTG511PFbB3jGfeCuMj24ZXZDT5TjCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T15:36:30.158045Z"},"content_sha256":"3c5a406c4ef82c912d8613ac00f02a332b3cd09eec576f171eb7cc3ffaea5c8f","schema_version":"1.0","event_id":"sha256:3c5a406c4ef82c912d8613ac00f02a332b3cd09eec576f171eb7cc3ffaea5c8f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LOCZLTDJC3PFXUH7C3ZIHUK5C7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SINH-acceleration: efficient evaluation of probability distributions, option pricing, and Monte-Carlo simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA","math.PR"],"primary_cat":"q-fin.CP","authors_text":"Sergei Levendorski\\u{i}, Svetlana Boyarchenko","submitted_at":"2018-08-15T22:23:08Z","abstract_excerpt":"Characteristic functions of several popular classes of distributions and processes admit analytic continuation into unions of strips and open coni around $\\mathbb{R}\\subset \\mathbb{C}$. The Fourier transform techniques reduces calculation of probability distributions and option prices to evaluation of integrals whose integrands are analytic in domains enjoying these properties. In the paper, we suggest to use changes of variables of the form $\\xi=\\sqrt{-1}\\omega_1+b\\sinh (\\sqrt{-1}\\omega+y)$ and the simplified trapezoid rule to evaluate the integrals accurately and fast. We formulate the gener"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05295","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":"2026-05-18T00:07:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z2ojAijuYYkTCiSjM0VrhhhqWku4fvKAGjh2iYmqm3aiQ0SQB1Jds+Jmblp0BdAasRuyJt5qAAp8Cv6kLf+1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T15:36:30.158405Z"},"content_sha256":"1b886d102dadb1ddd5cb7c9adebfd278f41919a2a071b447c6f28d8d1c205ef8","schema_version":"1.0","event_id":"sha256:1b886d102dadb1ddd5cb7c9adebfd278f41919a2a071b447c6f28d8d1c205ef8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LOCZLTDJC3PFXUH7C3ZIHUK5C7/bundle.json","state_url":"https://pith.science/pith/LOCZLTDJC3PFXUH7C3ZIHUK5C7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LOCZLTDJC3PFXUH7C3ZIHUK5C7/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":"2026-07-01T15:36:30Z","links":{"resolver":"https://pith.science/pith/LOCZLTDJC3PFXUH7C3ZIHUK5C7","bundle":"https://pith.science/pith/LOCZLTDJC3PFXUH7C3ZIHUK5C7/bundle.json","state":"https://pith.science/pith/LOCZLTDJC3PFXUH7C3ZIHUK5C7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LOCZLTDJC3PFXUH7C3ZIHUK5C7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LOCZLTDJC3PFXUH7C3ZIHUK5C7","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":"c2be3c7490e6fe09487ccdc89aac52b3cda355689f458d0b9b9eb1995fac7c97","cross_cats_sorted":["math.NA","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2018-08-15T22:23:08Z","title_canon_sha256":"5089f627528d7b81e5c4ab3332ce6dd4031567e05e827c48b1d5f52e40b36735"},"schema_version":"1.0","source":{"id":"1808.05295","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05295","created_at":"2026-05-18T00:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05295v1","created_at":"2026-05-18T00:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05295","created_at":"2026-05-18T00:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"LOCZLTDJC3PF","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LOCZLTDJC3PFXUH7","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LOCZLTDJ","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:1b886d102dadb1ddd5cb7c9adebfd278f41919a2a071b447c6f28d8d1c205ef8","target":"graph","created_at":"2026-05-18T00:07:57Z","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":"Characteristic functions of several popular classes of distributions and processes admit analytic continuation into unions of strips and open coni around $\\mathbb{R}\\subset \\mathbb{C}$. The Fourier transform techniques reduces calculation of probability distributions and option prices to evaluation of integrals whose integrands are analytic in domains enjoying these properties. In the paper, we suggest to use changes of variables of the form $\\xi=\\sqrt{-1}\\omega_1+b\\sinh (\\sqrt{-1}\\omega+y)$ and the simplified trapezoid rule to evaluate the integrals accurately and fast. We formulate the gener","authors_text":"Sergei Levendorski\\u{i}, Svetlana Boyarchenko","cross_cats":["math.NA","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2018-08-15T22:23:08Z","title":"SINH-acceleration: efficient evaluation of probability distributions, option pricing, and Monte-Carlo simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05295","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":"sha256:3c5a406c4ef82c912d8613ac00f02a332b3cd09eec576f171eb7cc3ffaea5c8f","target":"record","created_at":"2026-05-18T00:07:57Z","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":"c2be3c7490e6fe09487ccdc89aac52b3cda355689f458d0b9b9eb1995fac7c97","cross_cats_sorted":["math.NA","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2018-08-15T22:23:08Z","title_canon_sha256":"5089f627528d7b81e5c4ab3332ce6dd4031567e05e827c48b1d5f52e40b36735"},"schema_version":"1.0","source":{"id":"1808.05295","kind":"arxiv","version":1}},"canonical_sha256":"5b8595cc6916de5bd0ff16f283d15d17f53b76c3f290fde06b530b369c700217","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b8595cc6916de5bd0ff16f283d15d17f53b76c3f290fde06b530b369c700217","first_computed_at":"2026-05-18T00:07:57.603717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:57.603717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/RLX+DBflIs7Ku9QO3GLtfx6yaDJnALqr3xScH1qKc1nV8pB26m8FeYXcyi8Ff7DTol/b/8dhmyIuIdwj5djAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:57.604380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.05295","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c5a406c4ef82c912d8613ac00f02a332b3cd09eec576f171eb7cc3ffaea5c8f","sha256:1b886d102dadb1ddd5cb7c9adebfd278f41919a2a071b447c6f28d8d1c205ef8"],"state_sha256":"28369758f53230dfba337e027649e52e3dbd68c55897afe842ab843fc153d5e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"67zk3qEj3AbkPCM8Q5V5IAkR6A4bRBFcMl2evnYWhJUYZUnKlIuCS0ygOXR/o+yfwk+IvmP44tFMyXOFDNItBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T15:36:30.160367Z","bundle_sha256":"2db6ada175fbd98fa951b27e50a8fa855aee6fd3628fa0fea7549796e29f598b"}}