{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:H7F7RITAHMHQIXYFUTMLGKWCEM","short_pith_number":"pith:H7F7RITA","canonical_record":{"source":{"id":"2411.01731","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-11-04T01:24:19Z","cross_cats_sorted":[],"title_canon_sha256":"4277b7c4753805892af3282479e8edf96e6870b32bc146634d9afe82019fd287","abstract_canon_sha256":"62528d3f5e6f09283a8c69d1cd388f465e75628b1328abdd9a525a02f1d28bde"},"schema_version":"1.0"},"canonical_sha256":"3fcbf8a2603b0f045f05a4d8b32ac22332845be8bd1ad92809cd69b160e8c1a8","source":{"kind":"arxiv","id":"2411.01731","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.01731","created_at":"2026-07-05T11:51:18Z"},{"alias_kind":"arxiv_version","alias_value":"2411.01731v2","created_at":"2026-07-05T11:51:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.01731","created_at":"2026-07-05T11:51:18Z"},{"alias_kind":"pith_short_12","alias_value":"H7F7RITAHMHQ","created_at":"2026-07-05T11:51:18Z"},{"alias_kind":"pith_short_16","alias_value":"H7F7RITAHMHQIXYF","created_at":"2026-07-05T11:51:18Z"},{"alias_kind":"pith_short_8","alias_value":"H7F7RITA","created_at":"2026-07-05T11:51:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:H7F7RITAHMHQIXYFUTMLGKWCEM","target":"record","payload":{"canonical_record":{"source":{"id":"2411.01731","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-11-04T01:24:19Z","cross_cats_sorted":[],"title_canon_sha256":"4277b7c4753805892af3282479e8edf96e6870b32bc146634d9afe82019fd287","abstract_canon_sha256":"62528d3f5e6f09283a8c69d1cd388f465e75628b1328abdd9a525a02f1d28bde"},"schema_version":"1.0"},"canonical_sha256":"3fcbf8a2603b0f045f05a4d8b32ac22332845be8bd1ad92809cd69b160e8c1a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:51:18.680482Z","signature_b64":"Y782iUb1jLhzFwBg2h4s2p5g2CEFnfKLqTtj1Rd6F2U1DQzTKofL7NCpGeDcKLggRNSA+zOWRpUKY8BRl+UlAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fcbf8a2603b0f045f05a4d8b32ac22332845be8bd1ad92809cd69b160e8c1a8","last_reissued_at":"2026-07-05T11:51:18.679956Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:51:18.679956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.01731","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":"2026-07-05T11:51:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EYqueTtQXvlcoFUH8gorb+UsYRNpjr/NtyrAoh7uYSI5KbizVS+sAItAfeRtnlDaYssQAc2NMUuQKO+qLjqkCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:47:47.416531Z"},"content_sha256":"b3716c538a626524d14fe8cf9f30b17c7ed00825b336da4edb6b4c37b2a9bf8a","schema_version":"1.0","event_id":"sha256:b3716c538a626524d14fe8cf9f30b17c7ed00825b336da4edb6b4c37b2a9bf8a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:H7F7RITAHMHQIXYFUTMLGKWCEM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$L^2$-Wasserstein contraction of modified Euler schemes for SDEs with high diffusivity and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jianhai Bao, Jiaqing Hao","submitted_at":"2024-11-04T01:24:19Z","abstract_excerpt":"In this paper, we are concerned with a modified Euler scheme for the SDE under consideration, where the drift is of super-linear growth and dissipative merely outside a closed ball. By adopting the synchronous coupling, along with the construction of an equivalent quasi-metric, the $L^2$-Wasserstein contraction of the modified Euler scheme is addressed provided that the diffusivity is large enough. In particular, as a by-product, the $L^2$ Wasserstein contraction of the projected (truncated) Euler scheme and the tamed Euler algorithm is treated under much more explicit conditions imposed on dr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.01731","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.01731/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":"2026-07-05T11:51:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HBBsN74c6DxIloaV+Q+M4OBVLaEgkOWeN+3nS9C4gEDt2uMZq5BIFj+crNLumRhhDu0teBdcXA3f7ZBMRRvdAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:47:47.416913Z"},"content_sha256":"b8f805d4484af2e63df68dabcd8b2c609c5877c63ef80abd8d00bd170faebbea","schema_version":"1.0","event_id":"sha256:b8f805d4484af2e63df68dabcd8b2c609c5877c63ef80abd8d00bd170faebbea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H7F7RITAHMHQIXYFUTMLGKWCEM/bundle.json","state_url":"https://pith.science/pith/H7F7RITAHMHQIXYFUTMLGKWCEM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H7F7RITAHMHQIXYFUTMLGKWCEM/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":"2026-08-05T22:47:47Z","links":{"resolver":"https://pith.science/pith/H7F7RITAHMHQIXYFUTMLGKWCEM","bundle":"https://pith.science/pith/H7F7RITAHMHQIXYFUTMLGKWCEM/bundle.json","state":"https://pith.science/pith/H7F7RITAHMHQIXYFUTMLGKWCEM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H7F7RITAHMHQIXYFUTMLGKWCEM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:H7F7RITAHMHQIXYFUTMLGKWCEM","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":"62528d3f5e6f09283a8c69d1cd388f465e75628b1328abdd9a525a02f1d28bde","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-11-04T01:24:19Z","title_canon_sha256":"4277b7c4753805892af3282479e8edf96e6870b32bc146634d9afe82019fd287"},"schema_version":"1.0","source":{"id":"2411.01731","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.01731","created_at":"2026-07-05T11:51:18Z"},{"alias_kind":"arxiv_version","alias_value":"2411.01731v2","created_at":"2026-07-05T11:51:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.01731","created_at":"2026-07-05T11:51:18Z"},{"alias_kind":"pith_short_12","alias_value":"H7F7RITAHMHQ","created_at":"2026-07-05T11:51:18Z"},{"alias_kind":"pith_short_16","alias_value":"H7F7RITAHMHQIXYF","created_at":"2026-07-05T11:51:18Z"},{"alias_kind":"pith_short_8","alias_value":"H7F7RITA","created_at":"2026-07-05T11:51:18Z"}],"graph_snapshots":[{"event_id":"sha256:b8f805d4484af2e63df68dabcd8b2c609c5877c63ef80abd8d00bd170faebbea","target":"graph","created_at":"2026-07-05T11:51:18Z","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/2411.01731/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we are concerned with a modified Euler scheme for the SDE under consideration, where the drift is of super-linear growth and dissipative merely outside a closed ball. By adopting the synchronous coupling, along with the construction of an equivalent quasi-metric, the $L^2$-Wasserstein contraction of the modified Euler scheme is addressed provided that the diffusivity is large enough. In particular, as a by-product, the $L^2$ Wasserstein contraction of the projected (truncated) Euler scheme and the tamed Euler algorithm is treated under much more explicit conditions imposed on dr","authors_text":"Jianhai Bao, Jiaqing Hao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-11-04T01:24:19Z","title":"$L^2$-Wasserstein contraction of modified Euler schemes for SDEs with high diffusivity and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.01731","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:b3716c538a626524d14fe8cf9f30b17c7ed00825b336da4edb6b4c37b2a9bf8a","target":"record","created_at":"2026-07-05T11:51:18Z","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":"62528d3f5e6f09283a8c69d1cd388f465e75628b1328abdd9a525a02f1d28bde","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-11-04T01:24:19Z","title_canon_sha256":"4277b7c4753805892af3282479e8edf96e6870b32bc146634d9afe82019fd287"},"schema_version":"1.0","source":{"id":"2411.01731","kind":"arxiv","version":2}},"canonical_sha256":"3fcbf8a2603b0f045f05a4d8b32ac22332845be8bd1ad92809cd69b160e8c1a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fcbf8a2603b0f045f05a4d8b32ac22332845be8bd1ad92809cd69b160e8c1a8","first_computed_at":"2026-07-05T11:51:18.679956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:51:18.679956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y782iUb1jLhzFwBg2h4s2p5g2CEFnfKLqTtj1Rd6F2U1DQzTKofL7NCpGeDcKLggRNSA+zOWRpUKY8BRl+UlAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:51:18.680482Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.01731","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3716c538a626524d14fe8cf9f30b17c7ed00825b336da4edb6b4c37b2a9bf8a","sha256:b8f805d4484af2e63df68dabcd8b2c609c5877c63ef80abd8d00bd170faebbea"],"state_sha256":"9ac1a2f3b1ce5833277bf891428298e78f51aaafa6ed02b7998d10342332527d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OL0XmxNckhN/Q7i1c9temfN9fPq09t+W5r6hLlfNQRU8cxH2EMGceAgMhsEgfggirkpP0oi5+XFa9s2NQ1BgAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T22:47:47.419963Z","bundle_sha256":"aec4d70c4488e37f7a0d48c311e45ec928dd38410a584974585e8d8c8f54867d"}}