{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:W53AVHEECQDJMMV4ZNKBMQZCSC","short_pith_number":"pith:W53AVHEE","canonical_record":{"source":{"id":"1402.3708","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-02-15T17:54:14Z","cross_cats_sorted":[],"title_canon_sha256":"cb2f98b96862db6d13b6c18d0b0b29dd73078f6f3b9a4425143a47f0af414ac5","abstract_canon_sha256":"c5b464bb648a6235ae77dc7467f8fe180cd56c57afdb9906a24e84e7c2bca011"},"schema_version":"1.0"},"canonical_sha256":"b7760a9c8414069632bccb5416432290932b74ec5c703526697fc160a52790d1","source":{"kind":"arxiv","id":"1402.3708","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3708","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3708v2","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3708","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"pith_short_12","alias_value":"W53AVHEECQDJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W53AVHEECQDJMMV4","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W53AVHEE","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:W53AVHEECQDJMMV4ZNKBMQZCSC","target":"record","payload":{"canonical_record":{"source":{"id":"1402.3708","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-02-15T17:54:14Z","cross_cats_sorted":[],"title_canon_sha256":"cb2f98b96862db6d13b6c18d0b0b29dd73078f6f3b9a4425143a47f0af414ac5","abstract_canon_sha256":"c5b464bb648a6235ae77dc7467f8fe180cd56c57afdb9906a24e84e7c2bca011"},"schema_version":"1.0"},"canonical_sha256":"b7760a9c8414069632bccb5416432290932b74ec5c703526697fc160a52790d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:10.297777Z","signature_b64":"WrsQIQqTMiV6r6g5GSJNlsedsxE5icY4CXXXuH22iy/mxhAR07khyFEruiNKX8VkVGk9HIWmfCE03sB0EoJLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7760a9c8414069632bccb5416432290932b74ec5c703526697fc160a52790d1","last_reissued_at":"2026-05-18T00:44:10.297166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:10.297166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.3708","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0hVhNcnOe9/ta9R/k0UL0+cEWtKJLGOIQ0sMUiiwTeAjRhM2DoILZ3yPYVWypRIVKTcVDiYJBe5gr/ghij4hAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:03:13.904290Z"},"content_sha256":"63c433530d17aa2545384da4c13b9302db5b760853654dfe9e8e41f438079501","schema_version":"1.0","event_id":"sha256:63c433530d17aa2545384da4c13b9302db5b760853654dfe9e8e41f438079501"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:W53AVHEECQDJMMV4ZNKBMQZCSC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Order-preserving strong schemes for SDEs with locally Lipschitz coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Heping Ma, Zhongqiang Zhang","submitted_at":"2014-02-15T17:54:14Z","abstract_excerpt":"We introduce a class of explicit balanced schemes for stochastic differential equations with coefficients of superlinearly growth satisfying a global monotone condition. The first scheme is a balanced Euler scheme and is of order half in the mean-square sense whereas it is of order one under additive noise. The second scheme is a balanced Milstein scheme, which is of order one in the mean-square sense. Some numerical results are presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3708","kind":"arxiv","version":2},"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":"2026-05-18T00:44:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FEnQ5HKhevCps9cWYw3onXkE74JWEKj5LwYfOZzFGFe7tHVzhtq9f1pma3VtcllIf0LlOlRHMakUfRQtRMgYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:03:13.904873Z"},"content_sha256":"851387579faffb6dad27e9b957ebf80704f091908e0d91c3a574f2981b2cf0a7","schema_version":"1.0","event_id":"sha256:851387579faffb6dad27e9b957ebf80704f091908e0d91c3a574f2981b2cf0a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W53AVHEECQDJMMV4ZNKBMQZCSC/bundle.json","state_url":"https://pith.science/pith/W53AVHEECQDJMMV4ZNKBMQZCSC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W53AVHEECQDJMMV4ZNKBMQZCSC/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":"2026-05-26T17:03:13Z","links":{"resolver":"https://pith.science/pith/W53AVHEECQDJMMV4ZNKBMQZCSC","bundle":"https://pith.science/pith/W53AVHEECQDJMMV4ZNKBMQZCSC/bundle.json","state":"https://pith.science/pith/W53AVHEECQDJMMV4ZNKBMQZCSC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W53AVHEECQDJMMV4ZNKBMQZCSC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:W53AVHEECQDJMMV4ZNKBMQZCSC","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":"c5b464bb648a6235ae77dc7467f8fe180cd56c57afdb9906a24e84e7c2bca011","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-02-15T17:54:14Z","title_canon_sha256":"cb2f98b96862db6d13b6c18d0b0b29dd73078f6f3b9a4425143a47f0af414ac5"},"schema_version":"1.0","source":{"id":"1402.3708","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3708","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3708v2","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3708","created_at":"2026-05-18T00:44:10Z"},{"alias_kind":"pith_short_12","alias_value":"W53AVHEECQDJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W53AVHEECQDJMMV4","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W53AVHEE","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:851387579faffb6dad27e9b957ebf80704f091908e0d91c3a574f2981b2cf0a7","target":"graph","created_at":"2026-05-18T00:44:10Z","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 explicit balanced schemes for stochastic differential equations with coefficients of superlinearly growth satisfying a global monotone condition. The first scheme is a balanced Euler scheme and is of order half in the mean-square sense whereas it is of order one under additive noise. The second scheme is a balanced Milstein scheme, which is of order one in the mean-square sense. Some numerical results are presented.","authors_text":"Heping Ma, Zhongqiang Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-02-15T17:54:14Z","title":"Order-preserving strong schemes for SDEs with locally Lipschitz coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3708","kind":"arxiv","version":2},"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":"sha256:63c433530d17aa2545384da4c13b9302db5b760853654dfe9e8e41f438079501","target":"record","created_at":"2026-05-18T00:44:10Z","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":"c5b464bb648a6235ae77dc7467f8fe180cd56c57afdb9906a24e84e7c2bca011","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-02-15T17:54:14Z","title_canon_sha256":"cb2f98b96862db6d13b6c18d0b0b29dd73078f6f3b9a4425143a47f0af414ac5"},"schema_version":"1.0","source":{"id":"1402.3708","kind":"arxiv","version":2}},"canonical_sha256":"b7760a9c8414069632bccb5416432290932b74ec5c703526697fc160a52790d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7760a9c8414069632bccb5416432290932b74ec5c703526697fc160a52790d1","first_computed_at":"2026-05-18T00:44:10.297166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:10.297166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WrsQIQqTMiV6r6g5GSJNlsedsxE5icY4CXXXuH22iy/mxhAR07khyFEruiNKX8VkVGk9HIWmfCE03sB0EoJLCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:10.297777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3708","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63c433530d17aa2545384da4c13b9302db5b760853654dfe9e8e41f438079501","sha256:851387579faffb6dad27e9b957ebf80704f091908e0d91c3a574f2981b2cf0a7"],"state_sha256":"9020ef2c7e1cfebc04396340922cfb2a11637ffd3a19fa00e5f3b280e25c46b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"684oL5oruXZ9ad1jL0f4IcoGeb7u7Wt0EnpHZ4gHdAXbez2Ao09k/Ma5Njhw1Wqr8afrziFeYwkHiqn53uK4CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T17:03:13.907614Z","bundle_sha256":"5eb11d3ebc423bb39c2130d8423e67af6f5b058bd7a1dcd61a7ca0a847929df4"}}