{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:6FXGYFOUMSGV6VRTQIB7OJVDJC","short_pith_number":"pith:6FXGYFOU","schema_version":"1.0","canonical_sha256":"f16e6c15d4648d5f56338203f726a348b6f77707a7fe983c3ee5117316fb4be4","source":{"kind":"arxiv","id":"2502.10032","version":1},"attestation_state":"computed","paper":{"title":"Intermittency and Dissipation Regularity in Turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Luigi De Rosa, Marco Inversi, Philip Isett, Theodore D. Drivas","submitted_at":"2025-02-14T09:22:40Z","abstract_excerpt":"We lay down a geometric-analytic framework to capture properties of energy dissipation within weak solutions to the incompressible Euler equations. For solutions with spatial Besov regularity, it is proved that the Duchon-Robert distribution has improved regularity in a negative Besov space and, in the case it is a Radon measure, it is absolutely continuous with respect to a suitable Hausdorff measure. This imposes quantitative constraints on the dimension of the, possibly fractal, dissipative set and the admissible structure functions exponents, relating to the phenomenon of \"intermittency\" i"},"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":"2502.10032","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-02-14T09:22:40Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"55a4fcb6738a49990b42cbdc490773d0fc149ea93a469d99ad55fd06abc5304a","abstract_canon_sha256":"988d4ebc5722f3e8825c71aeb681be8422e3abfc8bbcff430254108577d418a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:15:49.182087Z","signature_b64":"IXTI7XT+zOtxMpZN78vZN5IvFyvdctDcEN7L3rJkZXHnLJ0pPOit6effLEuOxRBHW0yB6sG8K4knbkINvgt+BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f16e6c15d4648d5f56338203f726a348b6f77707a7fe983c3ee5117316fb4be4","last_reissued_at":"2026-07-05T10:15:49.181468Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:15:49.181468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intermittency and Dissipation Regularity in Turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Luigi De Rosa, Marco Inversi, Philip Isett, Theodore D. Drivas","submitted_at":"2025-02-14T09:22:40Z","abstract_excerpt":"We lay down a geometric-analytic framework to capture properties of energy dissipation within weak solutions to the incompressible Euler equations. For solutions with spatial Besov regularity, it is proved that the Duchon-Robert distribution has improved regularity in a negative Besov space and, in the case it is a Radon measure, it is absolutely continuous with respect to a suitable Hausdorff measure. This imposes quantitative constraints on the dimension of the, possibly fractal, dissipative set and the admissible structure functions exponents, relating to the phenomenon of \"intermittency\" i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.10032","kind":"arxiv","version":1},"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/2502.10032/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":"2502.10032","created_at":"2026-07-05T10:15:49.181565+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.10032v1","created_at":"2026-07-05T10:15:49.181565+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.10032","created_at":"2026-07-05T10:15:49.181565+00:00"},{"alias_kind":"pith_short_12","alias_value":"6FXGYFOUMSGV","created_at":"2026-07-05T10:15:49.181565+00:00"},{"alias_kind":"pith_short_16","alias_value":"6FXGYFOUMSGV6VRT","created_at":"2026-07-05T10:15:49.181565+00:00"},{"alias_kind":"pith_short_8","alias_value":"6FXGYFOU","created_at":"2026-07-05T10:15:49.181565+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2510.10704","citing_title":"Fine dissipative properties of Euler solutions with measure first derivatives","ref_index":14,"is_internal_anchor":true},{"citing_arxiv_id":"2508.01440","citing_title":"Dissipation concentration in two-dimensional fluids","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2510.10704","citing_title":"Fine dissipative properties of Euler solutions with measure first derivatives","ref_index":14,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6FXGYFOUMSGV6VRTQIB7OJVDJC","json":"https://pith.science/pith/6FXGYFOUMSGV6VRTQIB7OJVDJC.json","graph_json":"https://pith.science/api/pith-number/6FXGYFOUMSGV6VRTQIB7OJVDJC/graph.json","events_json":"https://pith.science/api/pith-number/6FXGYFOUMSGV6VRTQIB7OJVDJC/events.json","paper":"https://pith.science/paper/6FXGYFOU"},"agent_actions":{"view_html":"https://pith.science/pith/6FXGYFOUMSGV6VRTQIB7OJVDJC","download_json":"https://pith.science/pith/6FXGYFOUMSGV6VRTQIB7OJVDJC.json","view_paper":"https://pith.science/paper/6FXGYFOU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.10032&json=true","fetch_graph":"https://pith.science/api/pith-number/6FXGYFOUMSGV6VRTQIB7OJVDJC/graph.json","fetch_events":"https://pith.science/api/pith-number/6FXGYFOUMSGV6VRTQIB7OJVDJC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6FXGYFOUMSGV6VRTQIB7OJVDJC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6FXGYFOUMSGV6VRTQIB7OJVDJC/action/storage_attestation","attest_author":"https://pith.science/pith/6FXGYFOUMSGV6VRTQIB7OJVDJC/action/author_attestation","sign_citation":"https://pith.science/pith/6FXGYFOUMSGV6VRTQIB7OJVDJC/action/citation_signature","submit_replication":"https://pith.science/pith/6FXGYFOUMSGV6VRTQIB7OJVDJC/action/replication_record"}},"created_at":"2026-07-05T10:15:49.181565+00:00","updated_at":"2026-07-05T10:15:49.181565+00:00"}