{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:2WIF66MX6Y6MELY7RRYJIUWPKX","short_pith_number":"pith:2WIF66MX","canonical_record":{"source":{"id":"2411.11759","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-11-18T17:37:18Z","cross_cats_sorted":[],"title_canon_sha256":"2fe169980614d9beceb4b24f629b65d26ddbeadc12417ccde2ddf3b3f6671405","abstract_canon_sha256":"73e697aedcd377596ba968536db48e4d9b4bbc4b92ad5c5450805a261f2ee932"},"schema_version":"1.0"},"canonical_sha256":"d5905f7997f63cc22f1f8c709452cf55f1f5319fe20fd019052f7e4dec2f0cbf","source":{"kind":"arxiv","id":"2411.11759","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.11759","created_at":"2026-07-05T09:57:48Z"},{"alias_kind":"arxiv_version","alias_value":"2411.11759v2","created_at":"2026-07-05T09:57:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.11759","created_at":"2026-07-05T09:57:48Z"},{"alias_kind":"pith_short_12","alias_value":"2WIF66MX6Y6M","created_at":"2026-07-05T09:57:48Z"},{"alias_kind":"pith_short_16","alias_value":"2WIF66MX6Y6MELY7","created_at":"2026-07-05T09:57:48Z"},{"alias_kind":"pith_short_8","alias_value":"2WIF66MX","created_at":"2026-07-05T09:57:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:2WIF66MX6Y6MELY7RRYJIUWPKX","target":"record","payload":{"canonical_record":{"source":{"id":"2411.11759","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-11-18T17:37:18Z","cross_cats_sorted":[],"title_canon_sha256":"2fe169980614d9beceb4b24f629b65d26ddbeadc12417ccde2ddf3b3f6671405","abstract_canon_sha256":"73e697aedcd377596ba968536db48e4d9b4bbc4b92ad5c5450805a261f2ee932"},"schema_version":"1.0"},"canonical_sha256":"d5905f7997f63cc22f1f8c709452cf55f1f5319fe20fd019052f7e4dec2f0cbf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:57:48.901170Z","signature_b64":"wsINc60sL82QKPghmIh9oA22JSBsb9tJcoFH6/seub7F99fw632qxY8yWS4N1hk1xRYiH9HHcC8Dqrgl78hHCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5905f7997f63cc22f1f8c709452cf55f1f5319fe20fd019052f7e4dec2f0cbf","last_reissued_at":"2026-07-05T09:57:48.900731Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:57:48.900731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.11759","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":"2026-07-05T09:57:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ntSgvPFCu9nSLMMSyr0b68fNjmYEHW3HfzhuhnMOmwbtGDUK5zS/OSrmzCdJTTAg1HVU0sK/Pb9g8CjFqEZpDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:18:43.690407Z"},"content_sha256":"a93e04b4950e94e753ce460414f31c2374bfa1e31badae4d901f761479e09299","schema_version":"1.0","event_id":"sha256:a93e04b4950e94e753ce460414f31c2374bfa1e31badae4d901f761479e09299"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:2WIF66MX6Y6MELY7RRYJIUWPKX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Milstein-type schemes for McKean-Vlasov SDEs driven by Brownian motion and Poisson random measure (with super-linear coefficients)","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Chaman Kumar, Christoph Reisinger, Sani Biswas, Verena Schwarz","submitted_at":"2024-11-18T17:37:18Z","abstract_excerpt":"In this work, we present a general Milstein-type scheme for McKean-Vlasov stochastic differential equations (SDEs) driven by Brownian motion and Poisson random measure and the associated system of interacting particles where drift, diffusion and jump coefficients may grow super-linearly in the state variable and linearly in the measure component. The strong rate of $\\mathcal{L}^2$-convergence of the proposed scheme is shown to be arbitrarily close to one under appropriate regularity assumptions on the coefficients. For the derivation of the Milstein scheme and to show its strong rate of conver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.11759","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/2411.11759/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":"2026-07-05T09:57:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YvpmV2vk8Nb6vuTPz5gYd4gxa8pebv0nGIQP4dlBo80Na/jR341HRfXJHQ5QfEkA+8WF8I/4c2CqUYqF59zpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:18:43.690776Z"},"content_sha256":"03e2bce597dcbd47ee8b6f80e47dee7526112d2ee01f4e9421deb25ce717429c","schema_version":"1.0","event_id":"sha256:03e2bce597dcbd47ee8b6f80e47dee7526112d2ee01f4e9421deb25ce717429c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2WIF66MX6Y6MELY7RRYJIUWPKX/bundle.json","state_url":"https://pith.science/pith/2WIF66MX6Y6MELY7RRYJIUWPKX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2WIF66MX6Y6MELY7RRYJIUWPKX/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":"2026-07-06T20:18:43Z","links":{"resolver":"https://pith.science/pith/2WIF66MX6Y6MELY7RRYJIUWPKX","bundle":"https://pith.science/pith/2WIF66MX6Y6MELY7RRYJIUWPKX/bundle.json","state":"https://pith.science/pith/2WIF66MX6Y6MELY7RRYJIUWPKX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2WIF66MX6Y6MELY7RRYJIUWPKX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2WIF66MX6Y6MELY7RRYJIUWPKX","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":"73e697aedcd377596ba968536db48e4d9b4bbc4b92ad5c5450805a261f2ee932","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-11-18T17:37:18Z","title_canon_sha256":"2fe169980614d9beceb4b24f629b65d26ddbeadc12417ccde2ddf3b3f6671405"},"schema_version":"1.0","source":{"id":"2411.11759","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.11759","created_at":"2026-07-05T09:57:48Z"},{"alias_kind":"arxiv_version","alias_value":"2411.11759v2","created_at":"2026-07-05T09:57:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.11759","created_at":"2026-07-05T09:57:48Z"},{"alias_kind":"pith_short_12","alias_value":"2WIF66MX6Y6M","created_at":"2026-07-05T09:57:48Z"},{"alias_kind":"pith_short_16","alias_value":"2WIF66MX6Y6MELY7","created_at":"2026-07-05T09:57:48Z"},{"alias_kind":"pith_short_8","alias_value":"2WIF66MX","created_at":"2026-07-05T09:57:48Z"}],"graph_snapshots":[{"event_id":"sha256:03e2bce597dcbd47ee8b6f80e47dee7526112d2ee01f4e9421deb25ce717429c","target":"graph","created_at":"2026-07-05T09:57:48Z","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/2411.11759/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we present a general Milstein-type scheme for McKean-Vlasov stochastic differential equations (SDEs) driven by Brownian motion and Poisson random measure and the associated system of interacting particles where drift, diffusion and jump coefficients may grow super-linearly in the state variable and linearly in the measure component. The strong rate of $\\mathcal{L}^2$-convergence of the proposed scheme is shown to be arbitrarily close to one under appropriate regularity assumptions on the coefficients. For the derivation of the Milstein scheme and to show its strong rate of conver","authors_text":"Chaman Kumar, Christoph Reisinger, Sani Biswas, Verena Schwarz","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-11-18T17:37:18Z","title":"Milstein-type schemes for McKean-Vlasov SDEs driven by Brownian motion and Poisson random measure (with super-linear coefficients)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.11759","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:a93e04b4950e94e753ce460414f31c2374bfa1e31badae4d901f761479e09299","target":"record","created_at":"2026-07-05T09:57:48Z","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":"73e697aedcd377596ba968536db48e4d9b4bbc4b92ad5c5450805a261f2ee932","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-11-18T17:37:18Z","title_canon_sha256":"2fe169980614d9beceb4b24f629b65d26ddbeadc12417ccde2ddf3b3f6671405"},"schema_version":"1.0","source":{"id":"2411.11759","kind":"arxiv","version":2}},"canonical_sha256":"d5905f7997f63cc22f1f8c709452cf55f1f5319fe20fd019052f7e4dec2f0cbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5905f7997f63cc22f1f8c709452cf55f1f5319fe20fd019052f7e4dec2f0cbf","first_computed_at":"2026-07-05T09:57:48.900731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:57:48.900731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wsINc60sL82QKPghmIh9oA22JSBsb9tJcoFH6/seub7F99fw632qxY8yWS4N1hk1xRYiH9HHcC8Dqrgl78hHCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:57:48.901170Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.11759","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a93e04b4950e94e753ce460414f31c2374bfa1e31badae4d901f761479e09299","sha256:03e2bce597dcbd47ee8b6f80e47dee7526112d2ee01f4e9421deb25ce717429c"],"state_sha256":"dc02e5816c16c14c745f6ccb6ffaeb5b790e1d77ba51f5d1dff33add5bbc5bdc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DG27bcqIBjbPpvccrtyNPXy3sNHM5jK36g4Z81b2gmjEDJjhnPFv7mUoYo4bZVZm2bseCsggEkM43pK3r1+dBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T20:18:43.692747Z","bundle_sha256":"da947e27674cbf0ab1c605b059490fa5e0f020383598330d685bf3fbf33ddb2e"}}