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The zonostrophy invariant was first predicted in \\cite{perm,BNZ_invariant} in two special cases -- large-scale turbulence and anisotropic turbulence. Papers \\cite{perm,BNZ_invariant} also predicted that the three invariants, energy, enstrophy and zonostrophy, will cascade anisotropically into non-intersecting sectors in the $k$-space, so 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":"0905.1314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2009-05-08T17:43:35Z","cross_cats_sorted":[],"title_canon_sha256":"1276fb8233b15b01982c8a08a92bfd220edf18c521b9c87e77316932f4bd6a65","abstract_canon_sha256":"1095fd901e74f84a5d089c8762873ecf13228fb7155e632ee72e5c3965436c0e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:46.311447Z","signature_b64":"gReH/L4MzQFkLWp/Q9mpfrKosJXE88LAD87SwmNFoz/itGnouzkAqgenhV5W9vZyIdjwPdY81uJ2XL8g5wWHAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"924efdc9aaffffb773ab3e3131121eb555f0a97165f329c2761ecff5406b84ef","last_reissued_at":"2026-05-18T02:13:46.310763Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:46.310763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Triple cascade behaviour in QG and drift turbulence and generation of zonal jets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Brenda Quinn, Sergey Nazarenko","submitted_at":"2009-05-08T17:43:35Z","abstract_excerpt":"We study quasi-geostrophic turbulence and plasma drift turbulence within the Charney-Hasegawa-Mima (CHM) model. 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