{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SOQQWZGMBPHCMVERTGSXUK6XT7","short_pith_number":"pith:SOQQWZGM","schema_version":"1.0","canonical_sha256":"93a10b64cc0bce26549199a57a2bd79fc83ee1e9858f65522ccb605e3d94fda2","source":{"kind":"arxiv","id":"1810.07396","version":1},"attestation_state":"computed","paper":{"title":"Probing turbulent superstructures in Rayleigh-B\\'{e}nard convection by Lagrangian trajectory clusters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Ambrish Pandey, Christiane Schneide, J\\\"org Schumacher, Kathrin Padberg-Gehle","submitted_at":"2018-10-17T06:09:00Z","abstract_excerpt":"We analyze large-scale patterns in three-dimensional turbulent convection in a horizontally extended square convection cell by Lagrangian particle trajectories calculated in direct numerical simulations. A simulation run at a Prandtl number Pr $=0.7$, a Rayleigh number Ra $=10^5$, and an aspect ratio $\\Gamma=16$ is therefore considered. These large-scale structures, which are denoted as turbulent superstructures of convection, are detected by the spectrum of the graph Laplacian matrix. Our investigation, which follows Hadjighasem {\\it et al.}, Phys. Rev. E {\\bf 93}, 063107 (2016), builds a wei"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1810.07396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-10-17T06:09:00Z","cross_cats_sorted":[],"title_canon_sha256":"77a1250f7681580116e5b1d7483a8a9aded6c449e87f059099f1e6dff8934ef4","abstract_canon_sha256":"80482cff516b41bd06fa9085de52672170e6e2eb3e792224ad45fe3169137a7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:34.702749Z","signature_b64":"L5K2gGWYbi0lyjbR3n3A5wY8oqxedoI6q+6Ef0dWaTi75mThestEbobacZwHfyiLD1TKmUm1Gw7sOJTaNlqkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93a10b64cc0bce26549199a57a2bd79fc83ee1e9858f65522ccb605e3d94fda2","last_reissued_at":"2026-05-18T00:00:34.702230Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:34.702230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Probing turbulent superstructures in Rayleigh-B\\'{e}nard convection by Lagrangian trajectory clusters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Ambrish Pandey, Christiane Schneide, J\\\"org Schumacher, Kathrin Padberg-Gehle","submitted_at":"2018-10-17T06:09:00Z","abstract_excerpt":"We analyze large-scale patterns in three-dimensional turbulent convection in a horizontally extended square convection cell by Lagrangian particle trajectories calculated in direct numerical simulations. A simulation run at a Prandtl number Pr $=0.7$, a Rayleigh number Ra $=10^5$, and an aspect ratio $\\Gamma=16$ is therefore considered. These large-scale structures, which are denoted as turbulent superstructures of convection, are detected by the spectrum of the graph Laplacian matrix. Our investigation, which follows Hadjighasem {\\it et al.}, Phys. Rev. E {\\bf 93}, 063107 (2016), builds a wei"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.07396","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1810.07396","created_at":"2026-05-18T00:00:34.702300+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.07396v1","created_at":"2026-05-18T00:00:34.702300+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.07396","created_at":"2026-05-18T00:00:34.702300+00:00"},{"alias_kind":"pith_short_12","alias_value":"SOQQWZGMBPHC","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SOQQWZGMBPHCMVER","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SOQQWZGM","created_at":"2026-05-18T12:32:53.628368+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SOQQWZGMBPHCMVERTGSXUK6XT7","json":"https://pith.science/pith/SOQQWZGMBPHCMVERTGSXUK6XT7.json","graph_json":"https://pith.science/api/pith-number/SOQQWZGMBPHCMVERTGSXUK6XT7/graph.json","events_json":"https://pith.science/api/pith-number/SOQQWZGMBPHCMVERTGSXUK6XT7/events.json","paper":"https://pith.science/paper/SOQQWZGM"},"agent_actions":{"view_html":"https://pith.science/pith/SOQQWZGMBPHCMVERTGSXUK6XT7","download_json":"https://pith.science/pith/SOQQWZGMBPHCMVERTGSXUK6XT7.json","view_paper":"https://pith.science/paper/SOQQWZGM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.07396&json=true","fetch_graph":"https://pith.science/api/pith-number/SOQQWZGMBPHCMVERTGSXUK6XT7/graph.json","fetch_events":"https://pith.science/api/pith-number/SOQQWZGMBPHCMVERTGSXUK6XT7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SOQQWZGMBPHCMVERTGSXUK6XT7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SOQQWZGMBPHCMVERTGSXUK6XT7/action/storage_attestation","attest_author":"https://pith.science/pith/SOQQWZGMBPHCMVERTGSXUK6XT7/action/author_attestation","sign_citation":"https://pith.science/pith/SOQQWZGMBPHCMVERTGSXUK6XT7/action/citation_signature","submit_replication":"https://pith.science/pith/SOQQWZGMBPHCMVERTGSXUK6XT7/action/replication_record"}},"created_at":"2026-05-18T00:00:34.702300+00:00","updated_at":"2026-05-18T00:00:34.702300+00:00"}