{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KV2HWZAADZ2RTIZLA5Y4WHAEFB","short_pith_number":"pith:KV2HWZAA","canonical_record":{"source":{"id":"1408.0708","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2014-08-04T15:26:18Z","cross_cats_sorted":[],"title_canon_sha256":"4b7889ef767903a11ed800082ff811b6b73802b510d5fef853551d34a06c810e","abstract_canon_sha256":"470c70a9c1653f6c6eed43d066b422e72dca038f1d5e803a885aae59587b342e"},"schema_version":"1.0"},"canonical_sha256":"55747b64001e7519a32b0771cb1c042863b7a43cb07a877ff86a11dd80f7f9b3","source":{"kind":"arxiv","id":"1408.0708","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.0708","created_at":"2026-05-18T00:41:54Z"},{"alias_kind":"arxiv_version","alias_value":"1408.0708v2","created_at":"2026-05-18T00:41:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0708","created_at":"2026-05-18T00:41:54Z"},{"alias_kind":"pith_short_12","alias_value":"KV2HWZAADZ2R","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KV2HWZAADZ2RTIZL","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KV2HWZAA","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KV2HWZAADZ2RTIZLA5Y4WHAEFB","target":"record","payload":{"canonical_record":{"source":{"id":"1408.0708","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2014-08-04T15:26:18Z","cross_cats_sorted":[],"title_canon_sha256":"4b7889ef767903a11ed800082ff811b6b73802b510d5fef853551d34a06c810e","abstract_canon_sha256":"470c70a9c1653f6c6eed43d066b422e72dca038f1d5e803a885aae59587b342e"},"schema_version":"1.0"},"canonical_sha256":"55747b64001e7519a32b0771cb1c042863b7a43cb07a877ff86a11dd80f7f9b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:54.041731Z","signature_b64":"qrLUjyVTsca7g75odwXAKgFUCbW66X+GsUhEslwDhhMUBP53IswQXTDC60UBfoyWMxuRXBoUc+TWLqXMhCpRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55747b64001e7519a32b0771cb1c042863b7a43cb07a877ff86a11dd80f7f9b3","last_reissued_at":"2026-05-18T00:41:54.040952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:54.040952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.0708","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":"2026-05-18T00:41:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A98RlIwym6utQnBNpKWguOtbpfhg2mpsLaec25Gmv0/BHnbkU9NzBEhNHAOreK9wBEmlrn3KyVbDY5O6St3ECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T18:23:39.877820Z"},"content_sha256":"7976bbdeb9a0102eec0d00e260df9711d4c74e32292707226b8b74bce4d25509","schema_version":"1.0","event_id":"sha256:7976bbdeb9a0102eec0d00e260df9711d4c74e32292707226b8b74bce4d25509"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KV2HWZAADZ2RTIZLA5Y4WHAEFB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Steady-state bifurcation analysis of a strong nonlinear atmospheric vorticity equation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Zhi-Min Chen","submitted_at":"2014-08-04T15:26:18Z","abstract_excerpt":"The quasi-geostrophic equation or the Euler equation with dissipation studied in the present paper is a simplified form of the atmospheric circulation model introduced by Charney and DeVore [J. Atmos. Sci. 36(1979), 1205-1216] on the existence of multiple steady states to the understanding of the persistence of atmospheric blocking. The fluid motion defined by the equation is driven by a zonal thermal forcing and an Ekman friction forcing measured by $\\kappa>0$. It is proved that the steady-state solution is unique for $\\kappa >1$ while multiple steady-state solutions exist for $\\kappa<\\kappa_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0708","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":"2026-05-18T00:41:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jtkN4jlTsGwGYggSeufh8PIiKTFBLLVil8cgrOJCCkM8qdKDpF3lSRnqz+6LwLgJ3aUAlh+jSf4K2vhzeeEjAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T18:23:39.878457Z"},"content_sha256":"1f7d4d06e4b9f869935cf6003cc9c7ad8ff5f367110a6dc9c42541f10e1bb65f","schema_version":"1.0","event_id":"sha256:1f7d4d06e4b9f869935cf6003cc9c7ad8ff5f367110a6dc9c42541f10e1bb65f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KV2HWZAADZ2RTIZLA5Y4WHAEFB/bundle.json","state_url":"https://pith.science/pith/KV2HWZAADZ2RTIZLA5Y4WHAEFB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KV2HWZAADZ2RTIZLA5Y4WHAEFB/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":"2026-05-23T18:23:39Z","links":{"resolver":"https://pith.science/pith/KV2HWZAADZ2RTIZLA5Y4WHAEFB","bundle":"https://pith.science/pith/KV2HWZAADZ2RTIZLA5Y4WHAEFB/bundle.json","state":"https://pith.science/pith/KV2HWZAADZ2RTIZLA5Y4WHAEFB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KV2HWZAADZ2RTIZLA5Y4WHAEFB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KV2HWZAADZ2RTIZLA5Y4WHAEFB","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":"470c70a9c1653f6c6eed43d066b422e72dca038f1d5e803a885aae59587b342e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2014-08-04T15:26:18Z","title_canon_sha256":"4b7889ef767903a11ed800082ff811b6b73802b510d5fef853551d34a06c810e"},"schema_version":"1.0","source":{"id":"1408.0708","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.0708","created_at":"2026-05-18T00:41:54Z"},{"alias_kind":"arxiv_version","alias_value":"1408.0708v2","created_at":"2026-05-18T00:41:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0708","created_at":"2026-05-18T00:41:54Z"},{"alias_kind":"pith_short_12","alias_value":"KV2HWZAADZ2R","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KV2HWZAADZ2RTIZL","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KV2HWZAA","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:1f7d4d06e4b9f869935cf6003cc9c7ad8ff5f367110a6dc9c42541f10e1bb65f","target":"graph","created_at":"2026-05-18T00:41:54Z","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":"The quasi-geostrophic equation or the Euler equation with dissipation studied in the present paper is a simplified form of the atmospheric circulation model introduced by Charney and DeVore [J. Atmos. Sci. 36(1979), 1205-1216] on the existence of multiple steady states to the understanding of the persistence of atmospheric blocking. The fluid motion defined by the equation is driven by a zonal thermal forcing and an Ekman friction forcing measured by $\\kappa>0$. It is proved that the steady-state solution is unique for $\\kappa >1$ while multiple steady-state solutions exist for $\\kappa<\\kappa_","authors_text":"Zhi-Min Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2014-08-04T15:26:18Z","title":"Steady-state bifurcation analysis of a strong nonlinear atmospheric vorticity equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0708","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":"sha256:7976bbdeb9a0102eec0d00e260df9711d4c74e32292707226b8b74bce4d25509","target":"record","created_at":"2026-05-18T00:41:54Z","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":"470c70a9c1653f6c6eed43d066b422e72dca038f1d5e803a885aae59587b342e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2014-08-04T15:26:18Z","title_canon_sha256":"4b7889ef767903a11ed800082ff811b6b73802b510d5fef853551d34a06c810e"},"schema_version":"1.0","source":{"id":"1408.0708","kind":"arxiv","version":2}},"canonical_sha256":"55747b64001e7519a32b0771cb1c042863b7a43cb07a877ff86a11dd80f7f9b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55747b64001e7519a32b0771cb1c042863b7a43cb07a877ff86a11dd80f7f9b3","first_computed_at":"2026-05-18T00:41:54.040952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:54.040952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qrLUjyVTsca7g75odwXAKgFUCbW66X+GsUhEslwDhhMUBP53IswQXTDC60UBfoyWMxuRXBoUc+TWLqXMhCpRBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:54.041731Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.0708","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7976bbdeb9a0102eec0d00e260df9711d4c74e32292707226b8b74bce4d25509","sha256:1f7d4d06e4b9f869935cf6003cc9c7ad8ff5f367110a6dc9c42541f10e1bb65f"],"state_sha256":"60baa37351d167284639eb3d65bce2d38f9f5c909c53dcb86bf6505b37c37832"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qJWRzGqYzeZWxF+1hB3pnwCYrgWKkChujFd4P4yEU9hmEnpqr4ubigwXcTAivCZ+ikR1lYvxIQI40wd0D/GADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T18:23:39.881950Z","bundle_sha256":"f62fedf4c27398d1a3abd68835ceb3aa4b4e0c8cac41ae6fabbf986f3cc1c997"}}