{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SVNZB2LW5SVQOFQ2PXGRWLEQ36","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":"56d19ce6d41d9cc5a7e46d6850fbcfbcb703633f7b3759eb1c9e51d9801efd1b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-02T07:37:59Z","title_canon_sha256":"02e3235548f918b350503a2b11ce073538c6899d0210c3f086faa9edc86ffc3b"},"schema_version":"1.0","source":{"id":"2606.03275","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.03275","created_at":"2026-06-03T01:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"2606.03275v1","created_at":"2026-06-03T01:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03275","created_at":"2026-06-03T01:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"SVNZB2LW5SVQ","created_at":"2026-06-03T01:05:37Z"},{"alias_kind":"pith_short_16","alias_value":"SVNZB2LW5SVQOFQ2","created_at":"2026-06-03T01:05:37Z"},{"alias_kind":"pith_short_8","alias_value":"SVNZB2LW","created_at":"2026-06-03T01:05:37Z"}],"graph_snapshots":[{"event_id":"sha256:a449290ca19cdd27ab35474f9c64559e7cf570f109d3a950aca5faa1793b54df","target":"graph","created_at":"2026-06-03T01:05:37Z","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/2606.03275/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A low-order Galerkin model is developed for a rotating fluid annulus driven by localized heating at the outer bottom periphery, with uniform cooling at the inner cylindrical wall. The model retains the full cylindrical geometry and employs Bessel-function radial eigenfunctions satisfying physically correct Dirichlet-Neumann boundary conditions. A dual-series least-squares procedure determines the conductive base state under the mixed thermal boundary condition. Galerkin projection onto the leading radial and vertical basis functions yields a 10-variable dynamical system governing the mean meri","authors_text":"Ayan Kumar Banerjee, Sagar Suresh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-02T07:37:59Z","title":"Reduced Order Model for a Convective Rotating Annulus with Localized Forcing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03275","kind":"arxiv","version":1},"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:fb47f25a4beb199aba901b36739fb544f55b40efe16d4f893e8818d36142292f","target":"record","created_at":"2026-06-03T01:05:37Z","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":"56d19ce6d41d9cc5a7e46d6850fbcfbcb703633f7b3759eb1c9e51d9801efd1b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-02T07:37:59Z","title_canon_sha256":"02e3235548f918b350503a2b11ce073538c6899d0210c3f086faa9edc86ffc3b"},"schema_version":"1.0","source":{"id":"2606.03275","kind":"arxiv","version":1}},"canonical_sha256":"955b90e976ecab07161a7dcd1b2c90df99927ad1f41d6b4cc590bfb6f27ae11f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"955b90e976ecab07161a7dcd1b2c90df99927ad1f41d6b4cc590bfb6f27ae11f","first_computed_at":"2026-06-03T01:05:37.738275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T01:05:37.738275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O+L2tgNzNKw+k2yEnxR1HkXI2Q8qCEKuwe4nPcJHRT38KaeJt9oDCVy038Bjf5uMbDY1P6ZGavSX5LojqdwQAw==","signature_status":"signed_v1","signed_at":"2026-06-03T01:05:37.738715Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.03275","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb47f25a4beb199aba901b36739fb544f55b40efe16d4f893e8818d36142292f","sha256:a449290ca19cdd27ab35474f9c64559e7cf570f109d3a950aca5faa1793b54df"],"state_sha256":"7e0d7d1a585f0918e6c0cc0dc868bc8085a879bc46ff820249409aeff4b5ac60"}