{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:TLR6GFYRXBQTJ2LN5VL3FVA5RL","short_pith_number":"pith:TLR6GFYR","schema_version":"1.0","canonical_sha256":"9ae3e31711b86134e96ded57b2d41d8ace287e08a283fcc154187b42067f63e2","source":{"kind":"arxiv","id":"astro-ph/0303324","version":2},"attestation_state":"computed","paper":{"title":"Bottleneck effect in three-dimensional turbulence simulations","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"astro-ph","authors_text":"Axel Brandenburg, Nils Erland L. Haugen, Tarek A. Yousef, Wolfgang Dobler","submitted_at":"2003-03-14T13:54:08Z","abstract_excerpt":"At numerical resolutions around $512^3$ and above, three-dimensional energy spectra from turbulence simulations begin to show noticeably shallower spectra than $k^{-5/3}$ near the dissipation wavenumber (`bottleneck effect'). This effect is shown to be significantly weaker in one-dimensional spectra such as those obtained in wind tunnel turbulence. The difference can be understood in terms of the transformation between one-dimensional and three-dimensional energy spectra under the assumption that the turbulent velocity field is isotropic. Transversal and longitudinal energy spectra are similar"},"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":"astro-ph/0303324","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2003-03-14T13:54:08Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"7a5dd2aea372ca094c83b6c434374c932430d8d27a1dfa30271e0750d6b5a822","abstract_canon_sha256":"b106e9f0765df05c8080d9994b0b794cccbbefc1f7283707e89347b7bcc197df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:36:40.166766Z","signature_b64":"gq9vQutbY8zlQvBme3UXbTP31VjPcwkmfJguwo9EHTDU3nuS7gg+MBk9DCX+moxITPVh841FKyuJ3O4W+18OAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ae3e31711b86134e96ded57b2d41d8ace287e08a283fcc154187b42067f63e2","last_reissued_at":"2026-07-04T16:36:40.166266Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:36:40.166266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bottleneck effect in three-dimensional turbulence simulations","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"astro-ph","authors_text":"Axel Brandenburg, Nils Erland L. Haugen, Tarek A. Yousef, Wolfgang Dobler","submitted_at":"2003-03-14T13:54:08Z","abstract_excerpt":"At numerical resolutions around $512^3$ and above, three-dimensional energy spectra from turbulence simulations begin to show noticeably shallower spectra than $k^{-5/3}$ near the dissipation wavenumber (`bottleneck effect'). This effect is shown to be significantly weaker in one-dimensional spectra such as those obtained in wind tunnel turbulence. The difference can be understood in terms of the transformation between one-dimensional and three-dimensional energy spectra under the assumption that the turbulent velocity field is isotropic. Transversal and longitudinal energy spectra are similar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0303324","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0303324/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"astro-ph/0303324","created_at":"2026-07-04T16:36:40.166334+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0303324v2","created_at":"2026-07-04T16:36:40.166334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0303324","created_at":"2026-07-04T16:36:40.166334+00:00"},{"alias_kind":"pith_short_12","alias_value":"TLR6GFYRXBQT","created_at":"2026-07-04T16:36:40.166334+00:00"},{"alias_kind":"pith_short_16","alias_value":"TLR6GFYRXBQTJ2LN","created_at":"2026-07-04T16:36:40.166334+00:00"},{"alias_kind":"pith_short_8","alias_value":"TLR6GFYR","created_at":"2026-07-04T16:36:40.166334+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/TLR6GFYRXBQTJ2LN5VL3FVA5RL","json":"https://pith.science/pith/TLR6GFYRXBQTJ2LN5VL3FVA5RL.json","graph_json":"https://pith.science/api/pith-number/TLR6GFYRXBQTJ2LN5VL3FVA5RL/graph.json","events_json":"https://pith.science/api/pith-number/TLR6GFYRXBQTJ2LN5VL3FVA5RL/events.json","paper":"https://pith.science/paper/TLR6GFYR"},"agent_actions":{"view_html":"https://pith.science/pith/TLR6GFYRXBQTJ2LN5VL3FVA5RL","download_json":"https://pith.science/pith/TLR6GFYRXBQTJ2LN5VL3FVA5RL.json","view_paper":"https://pith.science/paper/TLR6GFYR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0303324&json=true","fetch_graph":"https://pith.science/api/pith-number/TLR6GFYRXBQTJ2LN5VL3FVA5RL/graph.json","fetch_events":"https://pith.science/api/pith-number/TLR6GFYRXBQTJ2LN5VL3FVA5RL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TLR6GFYRXBQTJ2LN5VL3FVA5RL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TLR6GFYRXBQTJ2LN5VL3FVA5RL/action/storage_attestation","attest_author":"https://pith.science/pith/TLR6GFYRXBQTJ2LN5VL3FVA5RL/action/author_attestation","sign_citation":"https://pith.science/pith/TLR6GFYRXBQTJ2LN5VL3FVA5RL/action/citation_signature","submit_replication":"https://pith.science/pith/TLR6GFYRXBQTJ2LN5VL3FVA5RL/action/replication_record"}},"created_at":"2026-07-04T16:36:40.166334+00:00","updated_at":"2026-07-04T16:36:40.166334+00:00"}