{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:JMGMPM2OZDT6LYX7NPWSTPYWWE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1782af59cd19ae9a0f5962895fa7a608e54b9cda8f22802b07631884221c7a92","cross_cats_sorted":["physics.ao-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-08-24T14:47:06Z","title_canon_sha256":"7534f41dd8677b8c0baafa73bbd70070b9cdfac6a999c8ebccf7065e44d30047"},"schema_version":"1.0","source":{"id":"0908.3443","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.3443","created_at":"2026-05-18T02:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"0908.3443v4","created_at":"2026-05-18T02:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.3443","created_at":"2026-05-18T02:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"JMGMPM2OZDT6","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JMGMPM2OZDT6LYX7","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JMGMPM2O","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:d9d77084f14ba61764214fb6a54a3c92e5b4c9a1d8ab0ec75f080539eba25605","target":"graph","created_at":"2026-05-18T02:12:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"An initial zonally symmetric quasigeostrophic potential-vorticity (PV) distribution q_i(y) is subjected to complete or partial mixing within some finite zone |y| < L, where y is latitude. The change in M, the total absolute angular momentum, between the initial and any later time is considered. For standard quasigeostrophic shallow-water beta-channel dynamics it is proved that, for any q_i(y) such that dq_i/dy > 0 throughout |y| < L, the change in M is always negative. This theorem holds even when \"mixing\" is understood in the most general possible sense. Arbitrary stirring or advective rearra","authors_text":"Michael E. McIntyre, Richard B. Wood","cross_cats":["physics.ao-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-08-24T14:47:06Z","title":"A general theorem on angular-momentum changes due to potential vorticity mixing and on potential-energy changes due to buoyancy mixing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.3443","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1eaa052317a75175d46da0896da8b843f561860242bc5be170903d3f7eb864e9","target":"record","created_at":"2026-05-18T02:12:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1782af59cd19ae9a0f5962895fa7a608e54b9cda8f22802b07631884221c7a92","cross_cats_sorted":["physics.ao-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-08-24T14:47:06Z","title_canon_sha256":"7534f41dd8677b8c0baafa73bbd70070b9cdfac6a999c8ebccf7065e44d30047"},"schema_version":"1.0","source":{"id":"0908.3443","kind":"arxiv","version":4}},"canonical_sha256":"4b0cc7b34ec8e7e5e2ff6bed29bf16b11870c89ea89f2a0954ae72a02f365058","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b0cc7b34ec8e7e5e2ff6bed29bf16b11870c89ea89f2a0954ae72a02f365058","first_computed_at":"2026-05-18T02:12:23.574424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:23.574424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4OKWKrfzN9OpKXXnHDauv1bvQZDtUYyzw3m/ZZqQijNIaSjJ1o05x0UKyOKpASKDeI3aDY5mXxrIDiyhsuNKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:23.575229Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.3443","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1eaa052317a75175d46da0896da8b843f561860242bc5be170903d3f7eb864e9","sha256:d9d77084f14ba61764214fb6a54a3c92e5b4c9a1d8ab0ec75f080539eba25605"],"state_sha256":"a0339c1d5e1da0ef43576307c2fef55a840f74b544e728d7b3d09f16c730a184"}