{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HIZSGCHZPMAE2PQDLQNY53CIGD","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":"97129241e18dba20e5cd2b407fd7ee33c69ba5785d0ddda08758f612624ffbc2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-02-16T18:19:38Z","title_canon_sha256":"45e49aadfa2b6f51c78e2ba5de465658a55141bd637c071dca7912fdfa586a87"},"schema_version":"1.0","source":{"id":"1402.4123","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4123","created_at":"2026-05-18T02:58:44Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4123v1","created_at":"2026-05-18T02:58:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4123","created_at":"2026-05-18T02:58:44Z"},{"alias_kind":"pith_short_12","alias_value":"HIZSGCHZPMAE","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HIZSGCHZPMAE2PQD","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HIZSGCHZ","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:79209a55f62ac6d57ce1403efd84f0d0c6b2a7ce41f655f4863c76dc7e0b1d8c","target":"graph","created_at":"2026-05-18T02:58:44Z","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":"A reduced description of shear flows consistent with the Reynolds number scaling of lower-branch exact coherent states in plane Couette flow [J. Wang et al., Phys. Rev. Lett. 98, 204501 (2007)] is constructed. Exact time-independent nonlinear solutions of the reduced equations corresponding to both lower and upper branch states are found for Waleffe flow [F. Waleffe, Phys. Fluids 9, 883--900 (1997)]. The lower branch solution is characterized by fluctuations that vary slowly along the critical layer while the upper branch solutions display a bimodal structure and are more strongly focused on t","authors_text":"Cedric Beaume, Edgar Knobloch, Greg P. Chini, Keith Julien","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-02-16T18:19:38Z","title":"Exact coherent structures in a reduced model of parallel shear flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4123","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":"sha256:2edec9c32db1ecdda6d17f31ba2a41c7c3048bdf876b72969ca2245cc906a38f","target":"record","created_at":"2026-05-18T02:58:44Z","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":"97129241e18dba20e5cd2b407fd7ee33c69ba5785d0ddda08758f612624ffbc2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-02-16T18:19:38Z","title_canon_sha256":"45e49aadfa2b6f51c78e2ba5de465658a55141bd637c071dca7912fdfa586a87"},"schema_version":"1.0","source":{"id":"1402.4123","kind":"arxiv","version":1}},"canonical_sha256":"3a332308f97b004d3e035c1b8eec4830e08b065312091d7bafa48a86cdc772f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a332308f97b004d3e035c1b8eec4830e08b065312091d7bafa48a86cdc772f4","first_computed_at":"2026-05-18T02:58:44.733072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:44.733072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ph57gkpd1xWX8/iCQ42POUS2FhFpOMJW6d5SIcN01PJxrE+Vn2ZMuKun8MWD/rqxDuEUC+tRbAQYyzzNlDY5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:44.733624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4123","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2edec9c32db1ecdda6d17f31ba2a41c7c3048bdf876b72969ca2245cc906a38f","sha256:79209a55f62ac6d57ce1403efd84f0d0c6b2a7ce41f655f4863c76dc7e0b1d8c"],"state_sha256":"6f140de398376f2800dc20a90365d37e67b95e615794392a58b38dc28bb61241"}