{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:73EHJS64USEWAB4J7CX465LWL6","short_pith_number":"pith:73EHJS64","schema_version":"1.0","canonical_sha256":"fec874cbdca489600789f8afcf75765fa9fb87ce5a2f11f2dea804d3a06175ac","source":{"kind":"arxiv","id":"2406.18475","version":1},"attestation_state":"computed","paper":{"title":"Strong wave turbulence in strongly local large $N$ theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","cond-mat.stat-mech","physics.flu-dyn"],"primary_cat":"hep-th","authors_text":"Daniel Schubring, Vladimir Rosenhaus","submitted_at":"2024-06-26T16:35:42Z","abstract_excerpt":"We study wave turbulence in systems with two special properties: a large number of fields (large $N$) and a nonlinear interaction that is strongly local in momentum space. The first property allows us to find the kinetic equation at all interaction strengths -- both weak and strong, at leading order in $1/N$. The second allows us to turn the kinetic equation -- an integral equation -- into a differential equation. We find stationary solutions for the occupation number as a function of wave number, valid at all scales. As expected, on the weak coupling end the solutions asymptote to Kolmogorov-"},"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":"2406.18475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-06-26T16:35:42Z","cross_cats_sorted":["astro-ph.HE","cond-mat.stat-mech","physics.flu-dyn"],"title_canon_sha256":"4b6b84b9e31bd421866aec98f884c3ff3dfac98e96222248fa681f73b877569b","abstract_canon_sha256":"1c0b780811469409d4901e24555d38856d82faf7115859b56ce249397d1dfa60"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:37:09.558431Z","signature_b64":"x0kGz2Ii1Y7vVUZ4IVfKHlr6EFo8rIk0cnw4FdeLN/XEx9EKl1A6EQb260jVXZ0sZV3Uw1butPTLeImvgODoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fec874cbdca489600789f8afcf75765fa9fb87ce5a2f11f2dea804d3a06175ac","last_reissued_at":"2026-07-05T08:37:09.557956Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:37:09.557956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong wave turbulence in strongly local large $N$ theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","cond-mat.stat-mech","physics.flu-dyn"],"primary_cat":"hep-th","authors_text":"Daniel Schubring, Vladimir Rosenhaus","submitted_at":"2024-06-26T16:35:42Z","abstract_excerpt":"We study wave turbulence in systems with two special properties: a large number of fields (large $N$) and a nonlinear interaction that is strongly local in momentum space. The first property allows us to find the kinetic equation at all interaction strengths -- both weak and strong, at leading order in $1/N$. The second allows us to turn the kinetic equation -- an integral equation -- into a differential equation. We find stationary solutions for the occupation number as a function of wave number, valid at all scales. As expected, on the weak coupling end the solutions asymptote to Kolmogorov-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.18475","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/2406.18475/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":"2406.18475","created_at":"2026-07-05T08:37:09.558011+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.18475v1","created_at":"2026-07-05T08:37:09.558011+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.18475","created_at":"2026-07-05T08:37:09.558011+00:00"},{"alias_kind":"pith_short_12","alias_value":"73EHJS64USEW","created_at":"2026-07-05T08:37:09.558011+00:00"},{"alias_kind":"pith_short_16","alias_value":"73EHJS64USEWAB4J","created_at":"2026-07-05T08:37:09.558011+00:00"},{"alias_kind":"pith_short_8","alias_value":"73EHJS64","created_at":"2026-07-05T08:37:09.558011+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.22557","citing_title":"Effects of strong turbulence for water waves","ref_index":20,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6","json":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6.json","graph_json":"https://pith.science/api/pith-number/73EHJS64USEWAB4J7CX465LWL6/graph.json","events_json":"https://pith.science/api/pith-number/73EHJS64USEWAB4J7CX465LWL6/events.json","paper":"https://pith.science/paper/73EHJS64"},"agent_actions":{"view_html":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6","download_json":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6.json","view_paper":"https://pith.science/paper/73EHJS64","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.18475&json=true","fetch_graph":"https://pith.science/api/pith-number/73EHJS64USEWAB4J7CX465LWL6/graph.json","fetch_events":"https://pith.science/api/pith-number/73EHJS64USEWAB4J7CX465LWL6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6/action/storage_attestation","attest_author":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6/action/author_attestation","sign_citation":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6/action/citation_signature","submit_replication":"https://pith.science/pith/73EHJS64USEWAB4J7CX465LWL6/action/replication_record"}},"created_at":"2026-07-05T08:37:09.558011+00:00","updated_at":"2026-07-05T08:37:09.558011+00:00"}