{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:6WNHGGAYM2YOBPHWDZ2GSOJIBB","short_pith_number":"pith:6WNHGGAY","schema_version":"1.0","canonical_sha256":"f59a73181866b0e0bcf61e746939280842462789c8fac71b40f96c0058649247","source":{"kind":"arxiv","id":"1111.2748","version":2},"attestation_state":"computed","paper":{"title":"Statistical properties of supersonic turbulence in the Lagrangian and Eulerian frameworks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR","physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Christoph Federrath, Lukas Konstandin, Ralf S. Klessen, Wolfram Schmidt","submitted_at":"2011-11-11T14:16:43Z","abstract_excerpt":"We present a systematic study of the influence of different forcing types on the statistical properties of supersonic, isothermal turbulence in both the Lagrangian and Eulerian frameworks. We analyse a series of high-resolution, hydrodynamical grid simulations with Lagrangian tracer particles and examine the effects of solenoidal (divergence-free) and compressive (curl-free) forcing on structure functions, their scaling exponents, and the probability density functions of the gas density and velocity increments. Compressively driven simulations show a significantly larger density contrast, a mo"},"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":"1111.2748","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-11-11T14:16:43Z","cross_cats_sorted":["astro-ph.SR","physics.comp-ph"],"title_canon_sha256":"b6407d6a14b100c1b12eb8948b4c922180d4091483ab815d200e00d5e7a3b62a","abstract_canon_sha256":"6f58fa6958abd2c1ddbf530a50ecdf5f681308247bc3d6ac6747b77a3d2c8291"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:46.633082Z","signature_b64":"8ybyby9s0eA/ITjdMhWyUb8Yg6XhKfIHRd4fjqaZUxQhFJStg5mtbhRzHLPlBLhcFhnCl2O1nDvNE/ANI919CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f59a73181866b0e0bcf61e746939280842462789c8fac71b40f96c0058649247","last_reissued_at":"2026-05-18T02:32:46.632671Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:46.632671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Statistical properties of supersonic turbulence in the Lagrangian and Eulerian frameworks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR","physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Christoph Federrath, Lukas Konstandin, Ralf S. Klessen, Wolfram Schmidt","submitted_at":"2011-11-11T14:16:43Z","abstract_excerpt":"We present a systematic study of the influence of different forcing types on the statistical properties of supersonic, isothermal turbulence in both the Lagrangian and Eulerian frameworks. We analyse a series of high-resolution, hydrodynamical grid simulations with Lagrangian tracer particles and examine the effects of solenoidal (divergence-free) and compressive (curl-free) forcing on structure functions, their scaling exponents, and the probability density functions of the gas density and velocity increments. Compressively driven simulations show a significantly larger density contrast, a mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2748","kind":"arxiv","version":2},"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":"1111.2748","created_at":"2026-05-18T02:32:46.632733+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.2748v2","created_at":"2026-05-18T02:32:46.632733+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2748","created_at":"2026-05-18T02:32:46.632733+00:00"},{"alias_kind":"pith_short_12","alias_value":"6WNHGGAYM2YO","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"6WNHGGAYM2YOBPHW","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"6WNHGGAY","created_at":"2026-05-18T12:26:22.705136+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.21672","citing_title":"Numerical simulations of shock-driven, supersonic turbulence in colliding three-temperature laboratory plasmas","ref_index":85,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6WNHGGAYM2YOBPHWDZ2GSOJIBB","json":"https://pith.science/pith/6WNHGGAYM2YOBPHWDZ2GSOJIBB.json","graph_json":"https://pith.science/api/pith-number/6WNHGGAYM2YOBPHWDZ2GSOJIBB/graph.json","events_json":"https://pith.science/api/pith-number/6WNHGGAYM2YOBPHWDZ2GSOJIBB/events.json","paper":"https://pith.science/paper/6WNHGGAY"},"agent_actions":{"view_html":"https://pith.science/pith/6WNHGGAYM2YOBPHWDZ2GSOJIBB","download_json":"https://pith.science/pith/6WNHGGAYM2YOBPHWDZ2GSOJIBB.json","view_paper":"https://pith.science/paper/6WNHGGAY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.2748&json=true","fetch_graph":"https://pith.science/api/pith-number/6WNHGGAYM2YOBPHWDZ2GSOJIBB/graph.json","fetch_events":"https://pith.science/api/pith-number/6WNHGGAYM2YOBPHWDZ2GSOJIBB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6WNHGGAYM2YOBPHWDZ2GSOJIBB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6WNHGGAYM2YOBPHWDZ2GSOJIBB/action/storage_attestation","attest_author":"https://pith.science/pith/6WNHGGAYM2YOBPHWDZ2GSOJIBB/action/author_attestation","sign_citation":"https://pith.science/pith/6WNHGGAYM2YOBPHWDZ2GSOJIBB/action/citation_signature","submit_replication":"https://pith.science/pith/6WNHGGAYM2YOBPHWDZ2GSOJIBB/action/replication_record"}},"created_at":"2026-05-18T02:32:46.632733+00:00","updated_at":"2026-05-18T02:32:46.632733+00:00"}