{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:P54HCATLWUROSHGAV2QFT6YAKH","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":"ea613edd48c93b37a80efd9a16b8827494337fe4a95c5cb936505ebd013baa04","cross_cats_sorted":["math-ph","math.MP","physics.ao-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2008-05-27T07:02:57Z","title_canon_sha256":"f4915a0ace052dd714f6e9cf82c0b99849331c95a63922872926e6061d10f61d"},"schema_version":"1.0","source":{"id":"0805.4061","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.4061","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"arxiv_version","alias_value":"0805.4061v3","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4061","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"pith_short_12","alias_value":"P54HCATLWURO","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"P54HCATLWUROSHGA","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"P54HCATL","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:82e4c2282ac4c790e8325d2857e0e1654b5e4a429dc60f387815743611ae3e51","target":"graph","created_at":"2026-05-18T04:37:22Z","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"},"paper":{"abstract_excerpt":"In 1960 Edward Lorenz (1917-2008) published a pioneering work on the `maximum simplification' of the barotropic vorticity equation. He derived a coupled three-mode system and interpreted it as the minimum core of large-scale fluid mechanics on a `finite but unbounded' domain. The model was obtained in a heuristic way, without giving a rigorous justification for the chosen selection of modes. In this paper, it is shown that one can legitimate Lorenz' choice by using symmetry transformations of the spectral form of the vorticity equation. The Lorenz three-mode model arises as the final step in a","authors_text":"Alexander Bihlo, Roman O. Popovych","cross_cats":["math-ph","math.MP","physics.ao-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2008-05-27T07:02:57Z","title":"Symmetry justification of Lorenz' maximum simplification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4061","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:ce61330bf4f1073d12524fcc11cd7ad653a3b29d776e504237debe8a7a9d45b5","target":"record","created_at":"2026-05-18T04:37:22Z","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":"ea613edd48c93b37a80efd9a16b8827494337fe4a95c5cb936505ebd013baa04","cross_cats_sorted":["math-ph","math.MP","physics.ao-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2008-05-27T07:02:57Z","title_canon_sha256":"f4915a0ace052dd714f6e9cf82c0b99849331c95a63922872926e6061d10f61d"},"schema_version":"1.0","source":{"id":"0805.4061","kind":"arxiv","version":3}},"canonical_sha256":"7f7871026bb522e91cc0aea059fb0051d9b13727a71ec19eb12b99eb1c344bcd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f7871026bb522e91cc0aea059fb0051d9b13727a71ec19eb12b99eb1c344bcd","first_computed_at":"2026-05-18T04:37:22.391681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:22.391681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zdpJiVCuiyV1j61UebHtOYQvVYmxOzrBxBkEe2vz/3/NePrTFJ6nfIEXUdl2O1ACxDGEhFr8ahmiOzMkkD5JCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:22.392144Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.4061","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce61330bf4f1073d12524fcc11cd7ad653a3b29d776e504237debe8a7a9d45b5","sha256:82e4c2282ac4c790e8325d2857e0e1654b5e4a429dc60f387815743611ae3e51"],"state_sha256":"d0e5008bea000e86c39dc085ca166aabc0f54951d7dfddd6040691136f6a5094"}