{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:A3F4542YX7T4OORE3ZVIRQT5IC","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":"f5d225eea1eb456397b8a1aea5c45013d5516adc956d612d1ac0d038fd44e8eb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2023-07-11T09:55:27Z","title_canon_sha256":"fed38f31febb2115b86741a8d1bf6f51aaff16cfee427ebc21f36f7ec4a5ac4e"},"schema_version":"1.0","source":{"id":"2307.05145","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.05145","created_at":"2026-07-05T07:55:22Z"},{"alias_kind":"arxiv_version","alias_value":"2307.05145v3","created_at":"2026-07-05T07:55:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.05145","created_at":"2026-07-05T07:55:22Z"},{"alias_kind":"pith_short_12","alias_value":"A3F4542YX7T4","created_at":"2026-07-05T07:55:22Z"},{"alias_kind":"pith_short_16","alias_value":"A3F4542YX7T4OORE","created_at":"2026-07-05T07:55:22Z"},{"alias_kind":"pith_short_8","alias_value":"A3F4542Y","created_at":"2026-07-05T07:55:22Z"}],"graph_snapshots":[{"event_id":"sha256:636838f853a5c9b61c30cabe8161bba4b78422b803874845455ed73dad0bac88","target":"graph","created_at":"2026-07-05T07:55:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2307.05145/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The three-dimensional generalized tropical climate model with partial viscosity and damping is considered in this paper. Global well-posedness of solutions of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved for $\\alpha\\geq\\frac{3}{2}$ and $\\beta\\geq4$. Global smooth solution of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved in $H^s(\\mathbb R^3)$ $(s>2)$ for $\\alpha\\geq\\frac{3}{2}$ and $4\\leq\\beta\\leq5$.","authors_text":"Chengfeng Sun, Hui Liu, Mei Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2023-07-11T09:55:27Z","title":"Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.05145","kind":"arxiv","version":3},"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:c849ab14ccbcc7981d9c1e59fb528e1b8d21e67fcc0ce3b48f9f1374387f9577","target":"record","created_at":"2026-07-05T07:55:22Z","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":"f5d225eea1eb456397b8a1aea5c45013d5516adc956d612d1ac0d038fd44e8eb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2023-07-11T09:55:27Z","title_canon_sha256":"fed38f31febb2115b86741a8d1bf6f51aaff16cfee427ebc21f36f7ec4a5ac4e"},"schema_version":"1.0","source":{"id":"2307.05145","kind":"arxiv","version":3}},"canonical_sha256":"06cbcef358bfe7c73a24de6a88c27d408c6c22b068207616acef61e7c8368414","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06cbcef358bfe7c73a24de6a88c27d408c6c22b068207616acef61e7c8368414","first_computed_at":"2026-07-05T07:55:22.984132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:55:22.984132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Q8f/Qb7HCdOZnzuH6LiSbaQLU/dbrqueQLoDf9RR9QJ1eMXCqkelhTok8lsqaYpqXPbD0jmXxg2yXhEvDtAAw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:55:22.984551Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.05145","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c849ab14ccbcc7981d9c1e59fb528e1b8d21e67fcc0ce3b48f9f1374387f9577","sha256:636838f853a5c9b61c30cabe8161bba4b78422b803874845455ed73dad0bac88"],"state_sha256":"b593ddd69a12f3f5aa041358aa681ebbac179c9c3743d189f2ca87254d0a25f6"}