{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:N7HL6T6OHHFOAQ5L7YE33NWFUN","short_pith_number":"pith:N7HL6T6O","canonical_record":{"source":{"id":"2505.03104","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-06T01:45:34Z","cross_cats_sorted":[],"title_canon_sha256":"ac5bc0e33789f249f39a4d565ee7e3d9ffe384db241096e055c24c0742dd9913","abstract_canon_sha256":"b81c638fa7070622c1b99d1fefcc65f27d6da6c3f6498a73b95221dc24b629f0"},"schema_version":"1.0"},"canonical_sha256":"6fcebf4fce39cae043abfe09bdb6c5a3771db856f739850d7c8790eac27e7d71","source":{"kind":"arxiv","id":"2505.03104","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.03104","created_at":"2026-07-05T10:58:52Z"},{"alias_kind":"arxiv_version","alias_value":"2505.03104v1","created_at":"2026-07-05T10:58:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.03104","created_at":"2026-07-05T10:58:52Z"},{"alias_kind":"pith_short_12","alias_value":"N7HL6T6OHHFO","created_at":"2026-07-05T10:58:52Z"},{"alias_kind":"pith_short_16","alias_value":"N7HL6T6OHHFOAQ5L","created_at":"2026-07-05T10:58:52Z"},{"alias_kind":"pith_short_8","alias_value":"N7HL6T6O","created_at":"2026-07-05T10:58:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:N7HL6T6OHHFOAQ5L7YE33NWFUN","target":"record","payload":{"canonical_record":{"source":{"id":"2505.03104","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-06T01:45:34Z","cross_cats_sorted":[],"title_canon_sha256":"ac5bc0e33789f249f39a4d565ee7e3d9ffe384db241096e055c24c0742dd9913","abstract_canon_sha256":"b81c638fa7070622c1b99d1fefcc65f27d6da6c3f6498a73b95221dc24b629f0"},"schema_version":"1.0"},"canonical_sha256":"6fcebf4fce39cae043abfe09bdb6c5a3771db856f739850d7c8790eac27e7d71","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:58:52.677159Z","signature_b64":"Fjhi0KZQ6yI3iYnv2jjePxPXzhndCPgsiGxWvzcW9yqdaNJlH012BbTstntvd5TsCRS4oyjDxEm0X2M1Jr0UBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fcebf4fce39cae043abfe09bdb6c5a3771db856f739850d7c8790eac27e7d71","last_reissued_at":"2026-07-05T10:58:52.676703Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:58:52.676703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.03104","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":"2026-07-05T10:58:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eakQobDENlydsDtzDqISW4Jd0SJ8bBQHzjvC5AtiAWMtmiQ6Loe//nT0cS3QJERHLqjmN1ZjrZJ6/oXhYPWwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T22:38:01.868660Z"},"content_sha256":"212e4f139f9821b3f028348f7d540dc31e26dcc665130d6e51cfe45b727675fd","schema_version":"1.0","event_id":"sha256:212e4f139f9821b3f028348f7d540dc31e26dcc665130d6e51cfe45b727675fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:N7HL6T6OHHFOAQ5L7YE33NWFUN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tamed Euler-Maruyama method for SDEs with non-globally Lipschitz drift and multiplicative noise","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Haoran Yang, Xiang Li, Yingjun Mo","submitted_at":"2025-05-06T01:45:34Z","abstract_excerpt":"Consider the following stochastic differential equation driven by multiplicative noise on $\\mathbb{R}^d$ with a superlinearly growing drift coefficient, \\begin{align*}\n  \\mathrm{d} X_t = b (X_t) \\, \\mathrm{d} t + \\sigma (X_t) \\, \\mathrm{d} B_t. \\end{align*} It is known that the corresponding explicit Euler schemes may not converge. In this article, we analyze an explicit and easily implementable numerical method for approximating such a stochastic differential equation, i.e. its tamed Euler-Maruyama approximation. Under partial dissipation conditions ensuring the ergodicity, we obtain the unif"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.03104","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.03104/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:58:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wwNG5+Srswlf3mlQPiSxaSIcenuQxgquL+sYX9vA4DCc5DPy7KYC9I+4GIpKmIDVu1p3N+NItAmRoWveJzL0CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T22:38:01.869001Z"},"content_sha256":"cd1961435d75f1c8d4f4832307bfd6e34cc1f24724d561bc4ac6b600f7f8033f","schema_version":"1.0","event_id":"sha256:cd1961435d75f1c8d4f4832307bfd6e34cc1f24724d561bc4ac6b600f7f8033f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N7HL6T6OHHFOAQ5L7YE33NWFUN/bundle.json","state_url":"https://pith.science/pith/N7HL6T6OHHFOAQ5L7YE33NWFUN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N7HL6T6OHHFOAQ5L7YE33NWFUN/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":"2026-08-21T22:38:01Z","links":{"resolver":"https://pith.science/pith/N7HL6T6OHHFOAQ5L7YE33NWFUN","bundle":"https://pith.science/pith/N7HL6T6OHHFOAQ5L7YE33NWFUN/bundle.json","state":"https://pith.science/pith/N7HL6T6OHHFOAQ5L7YE33NWFUN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N7HL6T6OHHFOAQ5L7YE33NWFUN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:N7HL6T6OHHFOAQ5L7YE33NWFUN","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":"b81c638fa7070622c1b99d1fefcc65f27d6da6c3f6498a73b95221dc24b629f0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-06T01:45:34Z","title_canon_sha256":"ac5bc0e33789f249f39a4d565ee7e3d9ffe384db241096e055c24c0742dd9913"},"schema_version":"1.0","source":{"id":"2505.03104","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.03104","created_at":"2026-07-05T10:58:52Z"},{"alias_kind":"arxiv_version","alias_value":"2505.03104v1","created_at":"2026-07-05T10:58:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.03104","created_at":"2026-07-05T10:58:52Z"},{"alias_kind":"pith_short_12","alias_value":"N7HL6T6OHHFO","created_at":"2026-07-05T10:58:52Z"},{"alias_kind":"pith_short_16","alias_value":"N7HL6T6OHHFOAQ5L","created_at":"2026-07-05T10:58:52Z"},{"alias_kind":"pith_short_8","alias_value":"N7HL6T6O","created_at":"2026-07-05T10:58:52Z"}],"graph_snapshots":[{"event_id":"sha256:cd1961435d75f1c8d4f4832307bfd6e34cc1f24724d561bc4ac6b600f7f8033f","target":"graph","created_at":"2026-07-05T10:58:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.03104/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Consider the following stochastic differential equation driven by multiplicative noise on $\\mathbb{R}^d$ with a superlinearly growing drift coefficient, \\begin{align*}\n  \\mathrm{d} X_t = b (X_t) \\, \\mathrm{d} t + \\sigma (X_t) \\, \\mathrm{d} B_t. \\end{align*} It is known that the corresponding explicit Euler schemes may not converge. In this article, we analyze an explicit and easily implementable numerical method for approximating such a stochastic differential equation, i.e. its tamed Euler-Maruyama approximation. Under partial dissipation conditions ensuring the ergodicity, we obtain the unif","authors_text":"Haoran Yang, Xiang Li, Yingjun Mo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-06T01:45:34Z","title":"Tamed Euler-Maruyama method for SDEs with non-globally Lipschitz drift and multiplicative noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.03104","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":"sha256:212e4f139f9821b3f028348f7d540dc31e26dcc665130d6e51cfe45b727675fd","target":"record","created_at":"2026-07-05T10:58:52Z","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":"b81c638fa7070622c1b99d1fefcc65f27d6da6c3f6498a73b95221dc24b629f0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-06T01:45:34Z","title_canon_sha256":"ac5bc0e33789f249f39a4d565ee7e3d9ffe384db241096e055c24c0742dd9913"},"schema_version":"1.0","source":{"id":"2505.03104","kind":"arxiv","version":1}},"canonical_sha256":"6fcebf4fce39cae043abfe09bdb6c5a3771db856f739850d7c8790eac27e7d71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fcebf4fce39cae043abfe09bdb6c5a3771db856f739850d7c8790eac27e7d71","first_computed_at":"2026-07-05T10:58:52.676703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:58:52.676703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fjhi0KZQ6yI3iYnv2jjePxPXzhndCPgsiGxWvzcW9yqdaNJlH012BbTstntvd5TsCRS4oyjDxEm0X2M1Jr0UBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:58:52.677159Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.03104","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:212e4f139f9821b3f028348f7d540dc31e26dcc665130d6e51cfe45b727675fd","sha256:cd1961435d75f1c8d4f4832307bfd6e34cc1f24724d561bc4ac6b600f7f8033f"],"state_sha256":"bbe5414e0e5bacec9a5a1699b1d829f167f10bb5c6d1da7a417fd3593e3b5047"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RuhlIETq65J8QxLDNvErvW6RWhnbUvOH/uly4RLy6jt9RJ1ZKE94mNV6SR6dRchjQ4UDdm+/lvFTU5CWrr66Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T22:38:01.872656Z","bundle_sha256":"5451ea664b014e0b1fffdcbe327c75272d570f5c9b0d2b491ffa5635c5961203"}}