{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VLGXDLSP4TJBYOX5LZMPLGOB2R","short_pith_number":"pith:VLGXDLSP","canonical_record":{"source":{"id":"1805.02233","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2018-05-06T15:26:52Z","cross_cats_sorted":["physics.geo-ph"],"title_canon_sha256":"3bf520b1478a9538dfe4b9fce80a4f99c0337bc7951ffacceec2c4e8aecdb3d2","abstract_canon_sha256":"02531cf1ec36e3aa22ae4aecba78ad77e3a240430580e23ed2a82e905e5a69a6"},"schema_version":"1.0"},"canonical_sha256":"aacd71ae4fe4d21c3afd5e58f599c1d465399cedfa03ec48dd39d5c27e2ea5c3","source":{"kind":"arxiv","id":"1805.02233","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02233","created_at":"2026-05-18T00:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02233v2","created_at":"2026-05-18T00:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02233","created_at":"2026-05-18T00:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"VLGXDLSP4TJB","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VLGXDLSP4TJBYOX5","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VLGXDLSP","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VLGXDLSP4TJBYOX5LZMPLGOB2R","target":"record","payload":{"canonical_record":{"source":{"id":"1805.02233","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2018-05-06T15:26:52Z","cross_cats_sorted":["physics.geo-ph"],"title_canon_sha256":"3bf520b1478a9538dfe4b9fce80a4f99c0337bc7951ffacceec2c4e8aecdb3d2","abstract_canon_sha256":"02531cf1ec36e3aa22ae4aecba78ad77e3a240430580e23ed2a82e905e5a69a6"},"schema_version":"1.0"},"canonical_sha256":"aacd71ae4fe4d21c3afd5e58f599c1d465399cedfa03ec48dd39d5c27e2ea5c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:07.410995Z","signature_b64":"dPlccuzRXTUw+TPy11Oh3iW+GALxNjSwAqiFqQwFuhHbltsesI4n61E50HkEvbg6Rym8R2Eq1SwpeioMJh0aCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aacd71ae4fe4d21c3afd5e58f599c1d465399cedfa03ec48dd39d5c27e2ea5c3","last_reissued_at":"2026-05-18T00:07:07.410080Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:07.410080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.02233","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:07:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qPmujJ2CvM9dotD7ynwP4u+BS4ApNKx1ajjgtky/idmXCjB3u9/6QoxFIXMVtTNJq6nFzkZVskJ/1wUtAJ64Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:18:40.296204Z"},"content_sha256":"53f2e72f4ff763c1e4c5c943ff16e01ef5cd10193b6846f4addfceac1354bf5f","schema_version":"1.0","event_id":"sha256:53f2e72f4ff763c1e4c5c943ff16e01ef5cd10193b6846f4addfceac1354bf5f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VLGXDLSP4TJBYOX5LZMPLGOB2R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Rayleigh--Kuo criterion for the tertiary instability of zonal flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.geo-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Hongxuan Zhu, I. Y. Dodin, Yao Zhou","submitted_at":"2018-05-06T15:26:52Z","abstract_excerpt":"This paper reports the stability conditions for intense zonal flows (ZFs) and the growth rate $\\gamma_{\\rm TI}$ of the corresponding \"tertiary\" instability (TI) within the generalized Hasegawa--Mima plasma model. The analytic calculation extends and revises Kuo's analysis of the mathematically similar barotropic vorticity equation for incompressible neutral fluids on a rotating sphere [H.-L. Kuo, J. Meteor. $\\textbf{6}$, 105 (1949)]; then, the results are applied to the plasma case. An error in Kuo's original result is pointed out. An explicit analytic formula for TI is derived and compared wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02233","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:07:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aaz14zEV+AQvk5jxT9kV7ItWUtE1StAyRVyQzzCQvJVd0E7u7nTSgnfuLPBSvpCVq7q0O25lu/tgb0eqEjcLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:18:40.296574Z"},"content_sha256":"8636e48dc159779122dafa60afeb7e49135e24e3c33a97b34c53502963fe0f4a","schema_version":"1.0","event_id":"sha256:8636e48dc159779122dafa60afeb7e49135e24e3c33a97b34c53502963fe0f4a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VLGXDLSP4TJBYOX5LZMPLGOB2R/bundle.json","state_url":"https://pith.science/pith/VLGXDLSP4TJBYOX5LZMPLGOB2R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VLGXDLSP4TJBYOX5LZMPLGOB2R/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T00:18:40Z","links":{"resolver":"https://pith.science/pith/VLGXDLSP4TJBYOX5LZMPLGOB2R","bundle":"https://pith.science/pith/VLGXDLSP4TJBYOX5LZMPLGOB2R/bundle.json","state":"https://pith.science/pith/VLGXDLSP4TJBYOX5LZMPLGOB2R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VLGXDLSP4TJBYOX5LZMPLGOB2R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VLGXDLSP4TJBYOX5LZMPLGOB2R","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":"02531cf1ec36e3aa22ae4aecba78ad77e3a240430580e23ed2a82e905e5a69a6","cross_cats_sorted":["physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2018-05-06T15:26:52Z","title_canon_sha256":"3bf520b1478a9538dfe4b9fce80a4f99c0337bc7951ffacceec2c4e8aecdb3d2"},"schema_version":"1.0","source":{"id":"1805.02233","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02233","created_at":"2026-05-18T00:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02233v2","created_at":"2026-05-18T00:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02233","created_at":"2026-05-18T00:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"VLGXDLSP4TJB","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VLGXDLSP4TJBYOX5","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VLGXDLSP","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:8636e48dc159779122dafa60afeb7e49135e24e3c33a97b34c53502963fe0f4a","target":"graph","created_at":"2026-05-18T00:07:07Z","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":"This paper reports the stability conditions for intense zonal flows (ZFs) and the growth rate $\\gamma_{\\rm TI}$ of the corresponding \"tertiary\" instability (TI) within the generalized Hasegawa--Mima plasma model. The analytic calculation extends and revises Kuo's analysis of the mathematically similar barotropic vorticity equation for incompressible neutral fluids on a rotating sphere [H.-L. Kuo, J. Meteor. $\\textbf{6}$, 105 (1949)]; then, the results are applied to the plasma case. An error in Kuo's original result is pointed out. An explicit analytic formula for TI is derived and compared wi","authors_text":"Hongxuan Zhu, I. Y. Dodin, Yao Zhou","cross_cats":["physics.geo-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2018-05-06T15:26:52Z","title":"On the Rayleigh--Kuo criterion for the tertiary instability of zonal flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02233","kind":"arxiv","version":2},"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":"sha256:53f2e72f4ff763c1e4c5c943ff16e01ef5cd10193b6846f4addfceac1354bf5f","target":"record","created_at":"2026-05-18T00:07:07Z","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":"02531cf1ec36e3aa22ae4aecba78ad77e3a240430580e23ed2a82e905e5a69a6","cross_cats_sorted":["physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2018-05-06T15:26:52Z","title_canon_sha256":"3bf520b1478a9538dfe4b9fce80a4f99c0337bc7951ffacceec2c4e8aecdb3d2"},"schema_version":"1.0","source":{"id":"1805.02233","kind":"arxiv","version":2}},"canonical_sha256":"aacd71ae4fe4d21c3afd5e58f599c1d465399cedfa03ec48dd39d5c27e2ea5c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aacd71ae4fe4d21c3afd5e58f599c1d465399cedfa03ec48dd39d5c27e2ea5c3","first_computed_at":"2026-05-18T00:07:07.410080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:07.410080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dPlccuzRXTUw+TPy11Oh3iW+GALxNjSwAqiFqQwFuhHbltsesI4n61E50HkEvbg6Rym8R2Eq1SwpeioMJh0aCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:07.410995Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.02233","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53f2e72f4ff763c1e4c5c943ff16e01ef5cd10193b6846f4addfceac1354bf5f","sha256:8636e48dc159779122dafa60afeb7e49135e24e3c33a97b34c53502963fe0f4a"],"state_sha256":"95de67a1ab10e3d07eef2f1cc639ad40e16f71660eb5bdb556fd25fcd5baf6a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FzKMMZr6HTuwW8xLNniz+tcV0sHbhLDF1dJD2H28OaKjyE75NgpwtPj537JU6IQoU1gmOS+52/CTmUd2Fq/lDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T00:18:40.298574Z","bundle_sha256":"9027ada262b7ab732b4b0d34b8657b3a71f436ffe33c13b79c4d5148b166b856"}}