{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4EYE2OYFIZ4RMCKPKCUVS4J7VQ","short_pith_number":"pith:4EYE2OYF","canonical_record":{"source":{"id":"2504.03844","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-04-04T18:00:27Z","cross_cats_sorted":["astro-ph.CO","cond-mat.stat-mech","hep-ph","hep-th"],"title_canon_sha256":"3e2484b7c5052d83d2abc64c3fc8fd8ed981566727f7cba074c8cbef45882fb8","abstract_canon_sha256":"bfb1ce879e871497c5b0719e64e1528886bcd1509b596c1213cf13f250ed4c83"},"schema_version":"1.0"},"canonical_sha256":"e1304d3b05467916094f50a959713fac32f44a05cc8c1971b213a665e3466dbd","source":{"kind":"arxiv","id":"2504.03844","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.03844","created_at":"2026-06-08T01:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"2504.03844v2","created_at":"2026-06-08T01:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.03844","created_at":"2026-06-08T01:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"4EYE2OYFIZ4R","created_at":"2026-06-08T01:05:00Z"},{"alias_kind":"pith_short_16","alias_value":"4EYE2OYFIZ4RMCKP","created_at":"2026-06-08T01:05:00Z"},{"alias_kind":"pith_short_8","alias_value":"4EYE2OYF","created_at":"2026-06-08T01:05:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4EYE2OYFIZ4RMCKPKCUVS4J7VQ","target":"record","payload":{"canonical_record":{"source":{"id":"2504.03844","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-04-04T18:00:27Z","cross_cats_sorted":["astro-ph.CO","cond-mat.stat-mech","hep-ph","hep-th"],"title_canon_sha256":"3e2484b7c5052d83d2abc64c3fc8fd8ed981566727f7cba074c8cbef45882fb8","abstract_canon_sha256":"bfb1ce879e871497c5b0719e64e1528886bcd1509b596c1213cf13f250ed4c83"},"schema_version":"1.0"},"canonical_sha256":"e1304d3b05467916094f50a959713fac32f44a05cc8c1971b213a665e3466dbd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T01:05:00.504794Z","signature_b64":"t0ejzJGJSQNolGvXNY2GHWQf4eaCiIzV54I3EkqAi38V25UXZ9Q4AD3ZZX74vOY5/EusTbliqA70c1WFQTj0Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1304d3b05467916094f50a959713fac32f44a05cc8c1971b213a665e3466dbd","last_reissued_at":"2026-06-08T01:05:00.503809Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T01:05:00.503809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.03844","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":"2026-06-08T01:05:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K5/0xXi6SlqHJ7v/t6yaHZLBPy1GetNtjw1h8JwjwvfJPdZrlQ7pw/M8h0uklohO2JD1qdvtSqd3tyejI6mYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:56:52.860875Z"},"content_sha256":"80912ae856082764dcfeb529c7e5baa844b68a53c9ad5ef6b47a6e9643587541","schema_version":"1.0","event_id":"sha256:80912ae856082764dcfeb529c7e5baa844b68a53c9ad5ef6b47a6e9643587541"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4EYE2OYFIZ4RMCKPKCUVS4J7VQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simple third order operator-splitting schemes for stochastic mechanics and field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","cond-mat.stat-mech","hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Andrey Shkerin, Sergey Sibiryakov","submitted_at":"2025-04-04T18:00:27Z","abstract_excerpt":"We present a method for constructing numerical schemes with up to 3rd strong convergence order for solution of a class of stochastic differential equations, including equations of the Langevin type. The construction proceeds in two stages. In the first stage one approximates the stochastic equation by a differential equation with smooth coefficients randomly sampled at each time step. In the second stage the resulting regular equation is solved with the conventional operator-splitting techniques. This separation renders the approach flexible, allowing one to freely combine the numerical techni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.03844","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/2504.03844/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":"2026-06-08T01:05:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ldAvJiyoa6dVhqGlV/rrSIQLCefU+wf7ics0Y7w454N9pOzAKvKs62eWA8G7gPl5tQ+b3l5+jr1Vhnbqmkn9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:56:52.861246Z"},"content_sha256":"7b2e0b91eca23c2cd71f06187157d6e9e5ac5b82d3225057bef200dc97a89ffb","schema_version":"1.0","event_id":"sha256:7b2e0b91eca23c2cd71f06187157d6e9e5ac5b82d3225057bef200dc97a89ffb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4EYE2OYFIZ4RMCKPKCUVS4J7VQ/bundle.json","state_url":"https://pith.science/pith/4EYE2OYFIZ4RMCKPKCUVS4J7VQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4EYE2OYFIZ4RMCKPKCUVS4J7VQ/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":"2026-07-05T09:56:52Z","links":{"resolver":"https://pith.science/pith/4EYE2OYFIZ4RMCKPKCUVS4J7VQ","bundle":"https://pith.science/pith/4EYE2OYFIZ4RMCKPKCUVS4J7VQ/bundle.json","state":"https://pith.science/pith/4EYE2OYFIZ4RMCKPKCUVS4J7VQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4EYE2OYFIZ4RMCKPKCUVS4J7VQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4EYE2OYFIZ4RMCKPKCUVS4J7VQ","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":"bfb1ce879e871497c5b0719e64e1528886bcd1509b596c1213cf13f250ed4c83","cross_cats_sorted":["astro-ph.CO","cond-mat.stat-mech","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-04-04T18:00:27Z","title_canon_sha256":"3e2484b7c5052d83d2abc64c3fc8fd8ed981566727f7cba074c8cbef45882fb8"},"schema_version":"1.0","source":{"id":"2504.03844","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.03844","created_at":"2026-06-08T01:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"2504.03844v2","created_at":"2026-06-08T01:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.03844","created_at":"2026-06-08T01:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"4EYE2OYFIZ4R","created_at":"2026-06-08T01:05:00Z"},{"alias_kind":"pith_short_16","alias_value":"4EYE2OYFIZ4RMCKP","created_at":"2026-06-08T01:05:00Z"},{"alias_kind":"pith_short_8","alias_value":"4EYE2OYF","created_at":"2026-06-08T01:05:00Z"}],"graph_snapshots":[{"event_id":"sha256:7b2e0b91eca23c2cd71f06187157d6e9e5ac5b82d3225057bef200dc97a89ffb","target":"graph","created_at":"2026-06-08T01:05:00Z","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/2504.03844/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a method for constructing numerical schemes with up to 3rd strong convergence order for solution of a class of stochastic differential equations, including equations of the Langevin type. The construction proceeds in two stages. In the first stage one approximates the stochastic equation by a differential equation with smooth coefficients randomly sampled at each time step. In the second stage the resulting regular equation is solved with the conventional operator-splitting techniques. This separation renders the approach flexible, allowing one to freely combine the numerical techni","authors_text":"Andrey Shkerin, Sergey Sibiryakov","cross_cats":["astro-ph.CO","cond-mat.stat-mech","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-04-04T18:00:27Z","title":"Simple third order operator-splitting schemes for stochastic mechanics and field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.03844","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":"sha256:80912ae856082764dcfeb529c7e5baa844b68a53c9ad5ef6b47a6e9643587541","target":"record","created_at":"2026-06-08T01:05:00Z","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":"bfb1ce879e871497c5b0719e64e1528886bcd1509b596c1213cf13f250ed4c83","cross_cats_sorted":["astro-ph.CO","cond-mat.stat-mech","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-04-04T18:00:27Z","title_canon_sha256":"3e2484b7c5052d83d2abc64c3fc8fd8ed981566727f7cba074c8cbef45882fb8"},"schema_version":"1.0","source":{"id":"2504.03844","kind":"arxiv","version":2}},"canonical_sha256":"e1304d3b05467916094f50a959713fac32f44a05cc8c1971b213a665e3466dbd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1304d3b05467916094f50a959713fac32f44a05cc8c1971b213a665e3466dbd","first_computed_at":"2026-06-08T01:05:00.503809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T01:05:00.503809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t0ejzJGJSQNolGvXNY2GHWQf4eaCiIzV54I3EkqAi38V25UXZ9Q4AD3ZZX74vOY5/EusTbliqA70c1WFQTj0Aw==","signature_status":"signed_v1","signed_at":"2026-06-08T01:05:00.504794Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.03844","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80912ae856082764dcfeb529c7e5baa844b68a53c9ad5ef6b47a6e9643587541","sha256:7b2e0b91eca23c2cd71f06187157d6e9e5ac5b82d3225057bef200dc97a89ffb"],"state_sha256":"cb5180b7379adc93ce05572b10063ed9fec766d7e03d93a67e49011053437c76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l5TayrgJcowlX0vY6eU6jbUp+U0tA02ZZzupwmDhdzmM+PBDHl9Ep02erjluLgsNyA43l4Ngd/XLp4eqwE+oCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T09:56:52.863184Z","bundle_sha256":"645ded8f77b698dbf7b87af68748719d1c2458eba156239f6a24ae4029f948d6"}}