{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:2MBBBV7J3N4QT5TRP3ELNFIVX5","short_pith_number":"pith:2MBBBV7J","schema_version":"1.0","canonical_sha256":"d30210d7e9db7909f6717ec8b69515bf5f2ebfe709ac9131d3a7d928e9478104","source":{"kind":"arxiv","id":"2002.07785","version":2},"attestation_state":"computed","paper":{"title":"Turbulent cascades in a truncation of the cubic Szego equation and related systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Anxo Biasi, Oleg Evnin","submitted_at":"2020-02-18T18:29:33Z","abstract_excerpt":"The cubic Szego equation has been studied as an integrable model for deterministic turbulence, starting with the foundational work of Gerard and Grellier. We introduce a truncated version of this equation, wherein a majority of the Fourier mode couplings are eliminated while the signature features of the model are preserved, namely, a Lax-pair structure and a nested hierarchy of finite-dimensional dynamically invariant manifolds. Despite the impoverished structure of the interactions, the turbulent behaviors of our new equation are stronger in an appropriate sense than for the original cubic S"},"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":"2002.07785","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-02-18T18:29:33Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"cca24674a23dce7a0ea58c50f84c05678f1f7c2edd022efa8621df1bb60ae68e","abstract_canon_sha256":"205dd769948a9db7b4731ba0dd0a4637c033becde9178cb4d4e74371d149ceb2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:09:34.276256Z","signature_b64":"hD1omn0MupxrVwXylqNK09QKMytwoDbX+ORtGz9MZgiIalB8Rq9ceRfe6NqBvw3vfcpuNzNAdTQGzTwmmnGADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d30210d7e9db7909f6717ec8b69515bf5f2ebfe709ac9131d3a7d928e9478104","last_reissued_at":"2026-07-05T04:09:34.275825Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:09:34.275825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Turbulent cascades in a truncation of the cubic Szego equation and related systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Anxo Biasi, Oleg Evnin","submitted_at":"2020-02-18T18:29:33Z","abstract_excerpt":"The cubic Szego equation has been studied as an integrable model for deterministic turbulence, starting with the foundational work of Gerard and Grellier. We introduce a truncated version of this equation, wherein a majority of the Fourier mode couplings are eliminated while the signature features of the model are preserved, namely, a Lax-pair structure and a nested hierarchy of finite-dimensional dynamically invariant manifolds. Despite the impoverished structure of the interactions, the turbulent behaviors of our new equation are stronger in an appropriate sense than for the original cubic S"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.07785","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/2002.07785/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":"2002.07785","created_at":"2026-07-05T04:09:34.275881+00:00"},{"alias_kind":"arxiv_version","alias_value":"2002.07785v2","created_at":"2026-07-05T04:09:34.275881+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.07785","created_at":"2026-07-05T04:09:34.275881+00:00"},{"alias_kind":"pith_short_12","alias_value":"2MBBBV7J3N4Q","created_at":"2026-07-05T04:09:34.275881+00:00"},{"alias_kind":"pith_short_16","alias_value":"2MBBBV7J3N4QT5TR","created_at":"2026-07-05T04:09:34.275881+00:00"},{"alias_kind":"pith_short_8","alias_value":"2MBBBV7J","created_at":"2026-07-05T04:09:34.275881+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2511.03373","citing_title":"A superintegrable quantum field theory","ref_index":32,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2MBBBV7J3N4QT5TRP3ELNFIVX5","json":"https://pith.science/pith/2MBBBV7J3N4QT5TRP3ELNFIVX5.json","graph_json":"https://pith.science/api/pith-number/2MBBBV7J3N4QT5TRP3ELNFIVX5/graph.json","events_json":"https://pith.science/api/pith-number/2MBBBV7J3N4QT5TRP3ELNFIVX5/events.json","paper":"https://pith.science/paper/2MBBBV7J"},"agent_actions":{"view_html":"https://pith.science/pith/2MBBBV7J3N4QT5TRP3ELNFIVX5","download_json":"https://pith.science/pith/2MBBBV7J3N4QT5TRP3ELNFIVX5.json","view_paper":"https://pith.science/paper/2MBBBV7J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2002.07785&json=true","fetch_graph":"https://pith.science/api/pith-number/2MBBBV7J3N4QT5TRP3ELNFIVX5/graph.json","fetch_events":"https://pith.science/api/pith-number/2MBBBV7J3N4QT5TRP3ELNFIVX5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2MBBBV7J3N4QT5TRP3ELNFIVX5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2MBBBV7J3N4QT5TRP3ELNFIVX5/action/storage_attestation","attest_author":"https://pith.science/pith/2MBBBV7J3N4QT5TRP3ELNFIVX5/action/author_attestation","sign_citation":"https://pith.science/pith/2MBBBV7J3N4QT5TRP3ELNFIVX5/action/citation_signature","submit_replication":"https://pith.science/pith/2MBBBV7J3N4QT5TRP3ELNFIVX5/action/replication_record"}},"created_at":"2026-07-05T04:09:34.275881+00:00","updated_at":"2026-07-05T04:09:34.275881+00:00"}