{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4TGKAG43YSSPM2U4OA6N4THCBG","short_pith_number":"pith:4TGKAG43","canonical_record":{"source":{"id":"1610.04003","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-13T10:02:35Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"1f8638a280e04474f0ca0205691bb30fb8b1a9f68c342450c1cfc0ff97409665","abstract_canon_sha256":"0b9809f480c29f554876ed70d269c05d3cb957ba1408704096a459484b325451"},"schema_version":"1.0"},"canonical_sha256":"e4cca01b9bc4a4f66a9c703cde4ce2099477faebd13ec3c7c8cf1bfd44a90903","source":{"kind":"arxiv","id":"1610.04003","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04003","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04003v1","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04003","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"pith_short_12","alias_value":"4TGKAG43YSSP","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4TGKAG43YSSPM2U4","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4TGKAG43","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4TGKAG43YSSPM2U4OA6N4THCBG","target":"record","payload":{"canonical_record":{"source":{"id":"1610.04003","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-13T10:02:35Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"1f8638a280e04474f0ca0205691bb30fb8b1a9f68c342450c1cfc0ff97409665","abstract_canon_sha256":"0b9809f480c29f554876ed70d269c05d3cb957ba1408704096a459484b325451"},"schema_version":"1.0"},"canonical_sha256":"e4cca01b9bc4a4f66a9c703cde4ce2099477faebd13ec3c7c8cf1bfd44a90903","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:22.698830Z","signature_b64":"Uj/31xSnY3XtFXA0IH1LBL2VEuTuqNgF+/hlxzGyMfB/ncfJoRJkPrwxQJvLbJJUXrNdGOU92c4+GoDrO/YSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4cca01b9bc4a4f66a9c703cde4ce2099477faebd13ec3c7c8cf1bfd44a90903","last_reissued_at":"2026-05-18T01:02:22.698103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:22.698103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.04003","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":"2026-05-18T01:02:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KAW2jXNIPD5/glRMKoPnkelwDiqhS2P19hchAl5wBfB/rbLratHkTFidD9mZjfvLjrA1I9jHEPmWXpF+1gv2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T23:33:55.146496Z"},"content_sha256":"3b6f22559bf3e9d4ed6b7790f6802c9f71f12d6927e04ce67c9c8ce584610c67","schema_version":"1.0","event_id":"sha256:3b6f22559bf3e9d4ed6b7790f6802c9f71f12d6927e04ce67c9c8ce584610c67"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4TGKAG43YSSPM2U4OA6N4THCBG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive timestepping strategies for nonlinear stochastic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.NA","authors_text":"C\\'onall Kelly, Gabriel J. Lord","submitted_at":"2016-10-13T10:02:35Z","abstract_excerpt":"We introduce a class of adaptive timestepping strategies for stochastic differential equations with non-Lipschitz drift coefficients. These strategies work by controlling potential unbounded growth in solutions of a numerical scheme due to the drift. We prove that the Euler-Maruyama scheme with an adaptive timestepping strategy in this class is strongly convergent. Specific strategies falling into this class are presented and demonstrated on a selection of numerical test problems. We observe that this approach is broadly applicable, can provide more dynamically accurate solutions than a drift-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04003","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":"2026-05-18T01:02:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JB1+P1Mf916E6msyut2Gwg2heqW5E31RaTcSq7kS74o1Xbw/r5Wyc7MIXv/uepZW7yCoalRBL8Ek/N8VAi86CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T23:33:55.147256Z"},"content_sha256":"3dbda1abc10855b98b7d6fc400b17f071d0f9b230044dc39ddd011550dd7c2e6","schema_version":"1.0","event_id":"sha256:3dbda1abc10855b98b7d6fc400b17f071d0f9b230044dc39ddd011550dd7c2e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4TGKAG43YSSPM2U4OA6N4THCBG/bundle.json","state_url":"https://pith.science/pith/4TGKAG43YSSPM2U4OA6N4THCBG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4TGKAG43YSSPM2U4OA6N4THCBG/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":"2026-06-10T23:33:55Z","links":{"resolver":"https://pith.science/pith/4TGKAG43YSSPM2U4OA6N4THCBG","bundle":"https://pith.science/pith/4TGKAG43YSSPM2U4OA6N4THCBG/bundle.json","state":"https://pith.science/pith/4TGKAG43YSSPM2U4OA6N4THCBG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4TGKAG43YSSPM2U4OA6N4THCBG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4TGKAG43YSSPM2U4OA6N4THCBG","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":"0b9809f480c29f554876ed70d269c05d3cb957ba1408704096a459484b325451","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-13T10:02:35Z","title_canon_sha256":"1f8638a280e04474f0ca0205691bb30fb8b1a9f68c342450c1cfc0ff97409665"},"schema_version":"1.0","source":{"id":"1610.04003","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04003","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04003v1","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04003","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"pith_short_12","alias_value":"4TGKAG43YSSP","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4TGKAG43YSSPM2U4","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4TGKAG43","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:3dbda1abc10855b98b7d6fc400b17f071d0f9b230044dc39ddd011550dd7c2e6","target":"graph","created_at":"2026-05-18T01:02:22Z","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":"We introduce a class of adaptive timestepping strategies for stochastic differential equations with non-Lipschitz drift coefficients. These strategies work by controlling potential unbounded growth in solutions of a numerical scheme due to the drift. We prove that the Euler-Maruyama scheme with an adaptive timestepping strategy in this class is strongly convergent. Specific strategies falling into this class are presented and demonstrated on a selection of numerical test problems. We observe that this approach is broadly applicable, can provide more dynamically accurate solutions than a drift-","authors_text":"C\\'onall Kelly, Gabriel J. Lord","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-13T10:02:35Z","title":"Adaptive timestepping strategies for nonlinear stochastic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04003","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":"sha256:3b6f22559bf3e9d4ed6b7790f6802c9f71f12d6927e04ce67c9c8ce584610c67","target":"record","created_at":"2026-05-18T01:02:22Z","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":"0b9809f480c29f554876ed70d269c05d3cb957ba1408704096a459484b325451","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-13T10:02:35Z","title_canon_sha256":"1f8638a280e04474f0ca0205691bb30fb8b1a9f68c342450c1cfc0ff97409665"},"schema_version":"1.0","source":{"id":"1610.04003","kind":"arxiv","version":1}},"canonical_sha256":"e4cca01b9bc4a4f66a9c703cde4ce2099477faebd13ec3c7c8cf1bfd44a90903","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4cca01b9bc4a4f66a9c703cde4ce2099477faebd13ec3c7c8cf1bfd44a90903","first_computed_at":"2026-05-18T01:02:22.698103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:22.698103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uj/31xSnY3XtFXA0IH1LBL2VEuTuqNgF+/hlxzGyMfB/ncfJoRJkPrwxQJvLbJJUXrNdGOU92c4+GoDrO/YSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:22.698830Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04003","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b6f22559bf3e9d4ed6b7790f6802c9f71f12d6927e04ce67c9c8ce584610c67","sha256:3dbda1abc10855b98b7d6fc400b17f071d0f9b230044dc39ddd011550dd7c2e6"],"state_sha256":"8800183810fa3d5612a776c413c232a8d2cf569c2ff4d7b370bca5ab82e9397a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YqJ6TRc0bZeR7BTOlHKS3ICgvHn/K/GZxoavvxdkMrGxu4keydi6XtRvMSEjne/uU2+q2zS5KWLZEEP48mvFBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T23:33:55.151188Z","bundle_sha256":"ec1f47c0aa003bbf9803b62ef764e274abefc0ea1f5ecdf48f5d3d5f4ec451a6"}}