{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:24R2LOGQK6QYOATZBJ6P33NJT2","short_pith_number":"pith:24R2LOGQ","canonical_record":{"source":{"id":"0909.0860","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-09-04T11:34:06Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"c6b8e557eccb1a9a4d908ad325fcaebdf47c8819556d8d813bd8bf2f6458584a","abstract_canon_sha256":"c77526907f461470ee69c40a676ee9689f3e31bc0f68e3c76be843066c40b2bd"},"schema_version":"1.0"},"canonical_sha256":"d723a5b8d057a18702790a7cfdeda99e874fe62efb991dc101957f79fec6f186","source":{"kind":"arxiv","id":"0909.0860","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.0860","created_at":"2026-05-18T02:11:59Z"},{"alias_kind":"arxiv_version","alias_value":"0909.0860v1","created_at":"2026-05-18T02:11:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.0860","created_at":"2026-05-18T02:11:59Z"},{"alias_kind":"pith_short_12","alias_value":"24R2LOGQK6QY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"24R2LOGQK6QYOATZ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"24R2LOGQ","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:24R2LOGQK6QYOATZBJ6P33NJT2","target":"record","payload":{"canonical_record":{"source":{"id":"0909.0860","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-09-04T11:34:06Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"c6b8e557eccb1a9a4d908ad325fcaebdf47c8819556d8d813bd8bf2f6458584a","abstract_canon_sha256":"c77526907f461470ee69c40a676ee9689f3e31bc0f68e3c76be843066c40b2bd"},"schema_version":"1.0"},"canonical_sha256":"d723a5b8d057a18702790a7cfdeda99e874fe62efb991dc101957f79fec6f186","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:59.834216Z","signature_b64":"gAS0FX6AoWB62PRvNXJBmBcK1onfq8jxryryYNyi1muGw038twFOkOC0pt4wN7OjGFcAuo/vcreHRh1t9MSTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d723a5b8d057a18702790a7cfdeda99e874fe62efb991dc101957f79fec6f186","last_reissued_at":"2026-05-18T02:11:59.833541Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:59.833541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.0860","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:11:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z8YHLIemrMfSrR3y7e/UtWAUES6+F8bgggKqtQAmH/LaO9EBsa493GaotO+AGLwV9Mc0mo1qz9aHnGtn9wR0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:06:11.933417Z"},"content_sha256":"0ce29dfc8406ef3acf25a96a1e4d168654a0d52f0395d7e7f3bccc7bb232b6b4","schema_version":"1.0","event_id":"sha256:0ce29dfc8406ef3acf25a96a1e4d168654a0d52f0395d7e7f3bccc7bb232b6b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:24R2LOGQK6QYOATZBJ6P33NJT2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Roll and square convection in binary liquids: a few--mode Galerkin model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"physics.flu-dyn","authors_text":"B. Huke, M. Luecke, S. Weggler","submitted_at":"2009-09-04T11:34:06Z","abstract_excerpt":"We present a few--mode Galerkin model for convection in binary fluid layers subject to an approximation to realistic horizontal boundary conditions at positive separation ratios. The model exhibits convection patterns in form of rolls and squares. The stable squares at onset develop into stable rolls at higher thermal driving. In between, a regime of a so-called crossroll structure is found. The results of our few--mode model are in good agreement with both experiments and numerical multi--mode simulations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.0860","kind":"arxiv","version":1},"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":"2026-05-18T02:11:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1u/3lGCA/urhTPxl3a2NBmXHUu+rnWnm3DkOLXgC2KhAMR21Ed+4pQJAQSNll/I5K2ZlMnhKAKNqypibNvZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:06:11.933748Z"},"content_sha256":"4a39f889d4b26e9e93e53e49a17b49bae2b0c810118c4e5470b0eac9c4748e68","schema_version":"1.0","event_id":"sha256:4a39f889d4b26e9e93e53e49a17b49bae2b0c810118c4e5470b0eac9c4748e68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/24R2LOGQK6QYOATZBJ6P33NJT2/bundle.json","state_url":"https://pith.science/pith/24R2LOGQK6QYOATZBJ6P33NJT2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/24R2LOGQK6QYOATZBJ6P33NJT2/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":"2026-06-23T17:06:11Z","links":{"resolver":"https://pith.science/pith/24R2LOGQK6QYOATZBJ6P33NJT2","bundle":"https://pith.science/pith/24R2LOGQK6QYOATZBJ6P33NJT2/bundle.json","state":"https://pith.science/pith/24R2LOGQK6QYOATZBJ6P33NJT2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/24R2LOGQK6QYOATZBJ6P33NJT2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:24R2LOGQK6QYOATZBJ6P33NJT2","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":"c77526907f461470ee69c40a676ee9689f3e31bc0f68e3c76be843066c40b2bd","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-09-04T11:34:06Z","title_canon_sha256":"c6b8e557eccb1a9a4d908ad325fcaebdf47c8819556d8d813bd8bf2f6458584a"},"schema_version":"1.0","source":{"id":"0909.0860","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.0860","created_at":"2026-05-18T02:11:59Z"},{"alias_kind":"arxiv_version","alias_value":"0909.0860v1","created_at":"2026-05-18T02:11:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.0860","created_at":"2026-05-18T02:11:59Z"},{"alias_kind":"pith_short_12","alias_value":"24R2LOGQK6QY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"24R2LOGQK6QYOATZ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"24R2LOGQ","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:4a39f889d4b26e9e93e53e49a17b49bae2b0c810118c4e5470b0eac9c4748e68","target":"graph","created_at":"2026-05-18T02:11:59Z","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":"We present a few--mode Galerkin model for convection in binary fluid layers subject to an approximation to realistic horizontal boundary conditions at positive separation ratios. The model exhibits convection patterns in form of rolls and squares. The stable squares at onset develop into stable rolls at higher thermal driving. In between, a regime of a so-called crossroll structure is found. The results of our few--mode model are in good agreement with both experiments and numerical multi--mode simulations.","authors_text":"B. Huke, M. Luecke, S. Weggler","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-09-04T11:34:06Z","title":"Roll and square convection in binary liquids: a few--mode Galerkin model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.0860","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":"sha256:0ce29dfc8406ef3acf25a96a1e4d168654a0d52f0395d7e7f3bccc7bb232b6b4","target":"record","created_at":"2026-05-18T02:11:59Z","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":"c77526907f461470ee69c40a676ee9689f3e31bc0f68e3c76be843066c40b2bd","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-09-04T11:34:06Z","title_canon_sha256":"c6b8e557eccb1a9a4d908ad325fcaebdf47c8819556d8d813bd8bf2f6458584a"},"schema_version":"1.0","source":{"id":"0909.0860","kind":"arxiv","version":1}},"canonical_sha256":"d723a5b8d057a18702790a7cfdeda99e874fe62efb991dc101957f79fec6f186","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d723a5b8d057a18702790a7cfdeda99e874fe62efb991dc101957f79fec6f186","first_computed_at":"2026-05-18T02:11:59.833541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:59.833541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gAS0FX6AoWB62PRvNXJBmBcK1onfq8jxryryYNyi1muGw038twFOkOC0pt4wN7OjGFcAuo/vcreHRh1t9MSTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:59.834216Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.0860","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ce29dfc8406ef3acf25a96a1e4d168654a0d52f0395d7e7f3bccc7bb232b6b4","sha256:4a39f889d4b26e9e93e53e49a17b49bae2b0c810118c4e5470b0eac9c4748e68"],"state_sha256":"745b627d1d562b52d8c0857a3d19ec582dcf4d415f3ae4f494f77f3e77e7d9cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IRZsKMh4pgX838mZKfvvQJbHeVBLEol+J7iPPV3P4rQXI42XS5pyvnOZX1K7oF4aJzxMiblPHSZd2Emm/hPvAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T17:06:11.935532Z","bundle_sha256":"8ab7477bfdec17ebc21a163ff86551f3127744d7dd32fa8821cf5be5ed435cf8"}}