{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:YRPFV2SYNWCGNBOGDZ44IMB7GC","short_pith_number":"pith:YRPFV2SY","canonical_record":{"source":{"id":"2305.18836","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-05-30T08:28:13Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"0c96bdefb380fbdac5abe24f5ed0b074c33d236ab023244aacf1cd998b97d911","abstract_canon_sha256":"8b74f4a7cdd4252ed56067a18e465fc9887a531986d920e5a54c204bc1697d78"},"schema_version":"1.0"},"canonical_sha256":"c45e5aea586d846685c61e79c4303f3085edad4582b96082ca505df1c85911fe","source":{"kind":"arxiv","id":"2305.18836","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.18836","created_at":"2026-07-05T06:41:19Z"},{"alias_kind":"arxiv_version","alias_value":"2305.18836v2","created_at":"2026-07-05T06:41:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.18836","created_at":"2026-07-05T06:41:19Z"},{"alias_kind":"pith_short_12","alias_value":"YRPFV2SYNWCG","created_at":"2026-07-05T06:41:19Z"},{"alias_kind":"pith_short_16","alias_value":"YRPFV2SYNWCGNBOG","created_at":"2026-07-05T06:41:19Z"},{"alias_kind":"pith_short_8","alias_value":"YRPFV2SY","created_at":"2026-07-05T06:41:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:YRPFV2SYNWCGNBOGDZ44IMB7GC","target":"record","payload":{"canonical_record":{"source":{"id":"2305.18836","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-05-30T08:28:13Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"0c96bdefb380fbdac5abe24f5ed0b074c33d236ab023244aacf1cd998b97d911","abstract_canon_sha256":"8b74f4a7cdd4252ed56067a18e465fc9887a531986d920e5a54c204bc1697d78"},"schema_version":"1.0"},"canonical_sha256":"c45e5aea586d846685c61e79c4303f3085edad4582b96082ca505df1c85911fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:41:19.100403Z","signature_b64":"mbGzqrrSaW7llJmBL0MMSKbV9rvbb6A0m6MBjxEGhBwfO+5XayI4eZkRkYLNrPV4myPTdqC05vSXW2Tt2+MiBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c45e5aea586d846685c61e79c4303f3085edad4582b96082ca505df1c85911fe","last_reissued_at":"2026-07-05T06:41:19.099981Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:41:19.099981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.18836","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":"2026-07-05T06:41:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kYRvYk7bf6r7M+ydCQHuE9MoPBorUjljUe/7lsjkpNb1ktOb0S1WAmdvdcNJdiOzbAPtIgMk4wgafYpC89ieAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:43:00.937922Z"},"content_sha256":"af929455c07f6d6e9d514a008aab174d9b1c4e7a9cd195a02bd9209ce3dead48","schema_version":"1.0","event_id":"sha256:af929455c07f6d6e9d514a008aab174d9b1c4e7a9cd195a02bd9209ce3dead48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:YRPFV2SYNWCGNBOGDZ44IMB7GC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Zero Viscosity Limit of Stochastic Navier-Stokes Flows","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.PR","authors_text":"Dan Crisan, Daniel Goodair","submitted_at":"2023-05-30T08:28:13Z","abstract_excerpt":"We introduce an analogue to Kato's Criterion regarding the inviscid convergence of stochastic Navier-Stokes flows to the strong solution of the deterministic Euler equation. Our assumptions cover additive, multiplicative and transport type noise models. This is achieved firstly for the typical noise scaling of $\\nu^\\frac{1}{2}$, before considering a new parameter which approaches zero with viscosity but at a potentially different rate. We determine the implications of this for our criterion and clarify a sense in which the scaling by $\\nu^\\frac{1}{2}$ is optimal. To enable the analysis we prov"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.18836","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/2305.18836/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":"2026-07-05T06:41:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+q4Ve89WJn3qkWWz/K/JzvVRqgK7QOQHK1yadf/YjAwe2Vn5QZEV3+zU31wUZddl7CtCkP//jCeS9uA/KZtuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:43:00.938434Z"},"content_sha256":"a872ae2c24c8c4ebb859d0bea48ea109e9c15317f2cb50cf1729390824c83e0e","schema_version":"1.0","event_id":"sha256:a872ae2c24c8c4ebb859d0bea48ea109e9c15317f2cb50cf1729390824c83e0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YRPFV2SYNWCGNBOGDZ44IMB7GC/bundle.json","state_url":"https://pith.science/pith/YRPFV2SYNWCGNBOGDZ44IMB7GC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YRPFV2SYNWCGNBOGDZ44IMB7GC/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":"2026-08-08T11:43:00Z","links":{"resolver":"https://pith.science/pith/YRPFV2SYNWCGNBOGDZ44IMB7GC","bundle":"https://pith.science/pith/YRPFV2SYNWCGNBOGDZ44IMB7GC/bundle.json","state":"https://pith.science/pith/YRPFV2SYNWCGNBOGDZ44IMB7GC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YRPFV2SYNWCGNBOGDZ44IMB7GC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YRPFV2SYNWCGNBOGDZ44IMB7GC","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":"8b74f4a7cdd4252ed56067a18e465fc9887a531986d920e5a54c204bc1697d78","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-05-30T08:28:13Z","title_canon_sha256":"0c96bdefb380fbdac5abe24f5ed0b074c33d236ab023244aacf1cd998b97d911"},"schema_version":"1.0","source":{"id":"2305.18836","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.18836","created_at":"2026-07-05T06:41:19Z"},{"alias_kind":"arxiv_version","alias_value":"2305.18836v2","created_at":"2026-07-05T06:41:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.18836","created_at":"2026-07-05T06:41:19Z"},{"alias_kind":"pith_short_12","alias_value":"YRPFV2SYNWCG","created_at":"2026-07-05T06:41:19Z"},{"alias_kind":"pith_short_16","alias_value":"YRPFV2SYNWCGNBOG","created_at":"2026-07-05T06:41:19Z"},{"alias_kind":"pith_short_8","alias_value":"YRPFV2SY","created_at":"2026-07-05T06:41:19Z"}],"graph_snapshots":[{"event_id":"sha256:a872ae2c24c8c4ebb859d0bea48ea109e9c15317f2cb50cf1729390824c83e0e","target":"graph","created_at":"2026-07-05T06:41:19Z","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/2305.18836/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce an analogue to Kato's Criterion regarding the inviscid convergence of stochastic Navier-Stokes flows to the strong solution of the deterministic Euler equation. Our assumptions cover additive, multiplicative and transport type noise models. This is achieved firstly for the typical noise scaling of $\\nu^\\frac{1}{2}$, before considering a new parameter which approaches zero with viscosity but at a potentially different rate. We determine the implications of this for our criterion and clarify a sense in which the scaling by $\\nu^\\frac{1}{2}$ is optimal. To enable the analysis we prov","authors_text":"Dan Crisan, Daniel Goodair","cross_cats":["math-ph","math.AP","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-05-30T08:28:13Z","title":"The Zero Viscosity Limit of Stochastic Navier-Stokes Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.18836","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:af929455c07f6d6e9d514a008aab174d9b1c4e7a9cd195a02bd9209ce3dead48","target":"record","created_at":"2026-07-05T06:41:19Z","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":"8b74f4a7cdd4252ed56067a18e465fc9887a531986d920e5a54c204bc1697d78","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-05-30T08:28:13Z","title_canon_sha256":"0c96bdefb380fbdac5abe24f5ed0b074c33d236ab023244aacf1cd998b97d911"},"schema_version":"1.0","source":{"id":"2305.18836","kind":"arxiv","version":2}},"canonical_sha256":"c45e5aea586d846685c61e79c4303f3085edad4582b96082ca505df1c85911fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c45e5aea586d846685c61e79c4303f3085edad4582b96082ca505df1c85911fe","first_computed_at":"2026-07-05T06:41:19.099981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:41:19.099981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mbGzqrrSaW7llJmBL0MMSKbV9rvbb6A0m6MBjxEGhBwfO+5XayI4eZkRkYLNrPV4myPTdqC05vSXW2Tt2+MiBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:41:19.100403Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.18836","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af929455c07f6d6e9d514a008aab174d9b1c4e7a9cd195a02bd9209ce3dead48","sha256:a872ae2c24c8c4ebb859d0bea48ea109e9c15317f2cb50cf1729390824c83e0e"],"state_sha256":"96d3c00f8421a86b2118aff0e34564053590770be6bb0680a935eb115816e3a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EUGCCGzesbkEMBFvakfkWTB1QWSB4EJkAij/IWwvb3pzTlxfntThRwwJh/Ivr9mbi7mwEc2K/aCduSYNOrtxDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T11:43:00.943173Z","bundle_sha256":"620251f687e81c1510a3dd952960dffe4735c5f0d130dfe6dcf7481cebfe13ba"}}