{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:RJS2L2SJ4PVFDTIOCBJ4V43NJK","short_pith_number":"pith:RJS2L2SJ","schema_version":"1.0","canonical_sha256":"8a65a5ea49e3ea51cd0e1053caf36d4a8c1b96f3139ffc2fa0cfefc8ddb35edb","source":{"kind":"arxiv","id":"2301.10917","version":2},"attestation_state":"computed","paper":{"title":"Yaglom's law and conserved quantity dissipation in turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Wei Wei, Yanqing Wang, Yulin Ye","submitted_at":"2023-01-26T03:37:29Z","abstract_excerpt":"In this paper, we are concerned with the local exact relationship for third-order structure functions in the temperature equation, the inviscid MHD equations and the Euler equations in the sense of Duchon-Robert type and Eyink type. It is shown that the local version of Yaglom's $4/3$ law is valid for the dissipation rates of conserved quantities such as the energy, cross-helicity and helicity in these systems. In the spirit of Duchon-Robert's classical work, we derive the dissipation term resulted from the lack of smoothness of the solutions in corresponding conservation relation. It seems th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2301.10917","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-01-26T03:37:29Z","cross_cats_sorted":[],"title_canon_sha256":"fd49ee49bc7503d05086522dd1bbd30e265772dabaa54d42ec1a1d023c52a9fe","abstract_canon_sha256":"8fa470431cfa6a9f8744dfa2690a9ec65d303abbd6934083dc5186d382a00f69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:43:19.273206Z","signature_b64":"/UWZXyaHUR43y7sp1dO5d4swYkt0gv5qsNCmP7t8BHBRbU11iKBiCrdk5WTtXiwpwaJlLDz3qKcAt0nUFckIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a65a5ea49e3ea51cd0e1053caf36d4a8c1b96f3139ffc2fa0cfefc8ddb35edb","last_reissued_at":"2026-07-05T05:43:19.272698Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:43:19.272698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Yaglom's law and conserved quantity dissipation in turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Wei Wei, Yanqing Wang, Yulin Ye","submitted_at":"2023-01-26T03:37:29Z","abstract_excerpt":"In this paper, we are concerned with the local exact relationship for third-order structure functions in the temperature equation, the inviscid MHD equations and the Euler equations in the sense of Duchon-Robert type and Eyink type. It is shown that the local version of Yaglom's $4/3$ law is valid for the dissipation rates of conserved quantities such as the energy, cross-helicity and helicity in these systems. In the spirit of Duchon-Robert's classical work, we derive the dissipation term resulted from the lack of smoothness of the solutions in corresponding conservation relation. It seems th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.10917","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/2301.10917/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2301.10917","created_at":"2026-07-05T05:43:19.272757+00:00"},{"alias_kind":"arxiv_version","alias_value":"2301.10917v2","created_at":"2026-07-05T05:43:19.272757+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.10917","created_at":"2026-07-05T05:43:19.272757+00:00"},{"alias_kind":"pith_short_12","alias_value":"RJS2L2SJ4PVF","created_at":"2026-07-05T05:43:19.272757+00:00"},{"alias_kind":"pith_short_16","alias_value":"RJS2L2SJ4PVFDTIO","created_at":"2026-07-05T05:43:19.272757+00:00"},{"alias_kind":"pith_short_8","alias_value":"RJS2L2SJ","created_at":"2026-07-05T05:43:19.272757+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RJS2L2SJ4PVFDTIOCBJ4V43NJK","json":"https://pith.science/pith/RJS2L2SJ4PVFDTIOCBJ4V43NJK.json","graph_json":"https://pith.science/api/pith-number/RJS2L2SJ4PVFDTIOCBJ4V43NJK/graph.json","events_json":"https://pith.science/api/pith-number/RJS2L2SJ4PVFDTIOCBJ4V43NJK/events.json","paper":"https://pith.science/paper/RJS2L2SJ"},"agent_actions":{"view_html":"https://pith.science/pith/RJS2L2SJ4PVFDTIOCBJ4V43NJK","download_json":"https://pith.science/pith/RJS2L2SJ4PVFDTIOCBJ4V43NJK.json","view_paper":"https://pith.science/paper/RJS2L2SJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2301.10917&json=true","fetch_graph":"https://pith.science/api/pith-number/RJS2L2SJ4PVFDTIOCBJ4V43NJK/graph.json","fetch_events":"https://pith.science/api/pith-number/RJS2L2SJ4PVFDTIOCBJ4V43NJK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RJS2L2SJ4PVFDTIOCBJ4V43NJK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RJS2L2SJ4PVFDTIOCBJ4V43NJK/action/storage_attestation","attest_author":"https://pith.science/pith/RJS2L2SJ4PVFDTIOCBJ4V43NJK/action/author_attestation","sign_citation":"https://pith.science/pith/RJS2L2SJ4PVFDTIOCBJ4V43NJK/action/citation_signature","submit_replication":"https://pith.science/pith/RJS2L2SJ4PVFDTIOCBJ4V43NJK/action/replication_record"}},"created_at":"2026-07-05T05:43:19.272757+00:00","updated_at":"2026-07-05T05:43:19.272757+00:00"}