{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:WI7W36QWD4J6KDEW3QJY5C47CB","short_pith_number":"pith:WI7W36QW","schema_version":"1.0","canonical_sha256":"b23f6dfa161f13e50c96dc138e8b9f1043dd53f1ebb66254585ac725adf8a994","source":{"kind":"arxiv","id":"1408.0539","version":2},"attestation_state":"computed","paper":{"title":"Spectral analysis of structure functions and their scaling exponents in forced isotropic turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"A. Berera, M. F. Linkmann, S. R. Yoffe, W. D. McComb","submitted_at":"2014-08-03T20:28:07Z","abstract_excerpt":"The pseudospectral method, in conjunction with a new technique for obtaining scaling exponents $\\zeta_n$ from the structure functions $S_n(r)$, is presented as an alternative to the extended self-similarity (ESS) method and the use of generalized structure functions. We propose plotting the ratio $|S_n(r)/S_3(r)|$ against the separation $r$ in accordance with a standard technique for analysing experimental data. This method differs from the ESS technique, which plots $S_n(r)$ against $S_3(r)$, with the assumption $S_3(r) \\sim r$. Using our method for the particular case of $S_2(r)$ we obtain t"},"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":"1408.0539","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-08-03T20:28:07Z","cross_cats_sorted":[],"title_canon_sha256":"e0b16ed2c10f2bf4e981ce99e8838c3d624aadfda7f47e7b51f0d30112fb1f56","abstract_canon_sha256":"b1e2bc11b1a56d7563481c1bec3edb2781bbc55f09838603f328a2cd2cfb1607"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:01.069370Z","signature_b64":"WX/Kvg63FHjfV8b3yQdVTZaaZhYFfiDzqR41N/LCAA8+MXRJOJTJp0+9NQa9Qt4kqVHmGs7owKtR+ljlHwHEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b23f6dfa161f13e50c96dc138e8b9f1043dd53f1ebb66254585ac725adf8a994","last_reissued_at":"2026-05-18T02:33:01.069030Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:01.069030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral analysis of structure functions and their scaling exponents in forced isotropic turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"A. Berera, M. F. Linkmann, S. R. Yoffe, W. D. McComb","submitted_at":"2014-08-03T20:28:07Z","abstract_excerpt":"The pseudospectral method, in conjunction with a new technique for obtaining scaling exponents $\\zeta_n$ from the structure functions $S_n(r)$, is presented as an alternative to the extended self-similarity (ESS) method and the use of generalized structure functions. We propose plotting the ratio $|S_n(r)/S_3(r)|$ against the separation $r$ in accordance with a standard technique for analysing experimental data. This method differs from the ESS technique, which plots $S_n(r)$ against $S_3(r)$, with the assumption $S_3(r) \\sim r$. Using our method for the particular case of $S_2(r)$ we obtain t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0539","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":"1408.0539","created_at":"2026-05-18T02:33:01.069077+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.0539v2","created_at":"2026-05-18T02:33:01.069077+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0539","created_at":"2026-05-18T02:33:01.069077+00:00"},{"alias_kind":"pith_short_12","alias_value":"WI7W36QWD4J6","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"WI7W36QWD4J6KDEW","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"WI7W36QW","created_at":"2026-05-18T12:28:54.890064+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/WI7W36QWD4J6KDEW3QJY5C47CB","json":"https://pith.science/pith/WI7W36QWD4J6KDEW3QJY5C47CB.json","graph_json":"https://pith.science/api/pith-number/WI7W36QWD4J6KDEW3QJY5C47CB/graph.json","events_json":"https://pith.science/api/pith-number/WI7W36QWD4J6KDEW3QJY5C47CB/events.json","paper":"https://pith.science/paper/WI7W36QW"},"agent_actions":{"view_html":"https://pith.science/pith/WI7W36QWD4J6KDEW3QJY5C47CB","download_json":"https://pith.science/pith/WI7W36QWD4J6KDEW3QJY5C47CB.json","view_paper":"https://pith.science/paper/WI7W36QW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.0539&json=true","fetch_graph":"https://pith.science/api/pith-number/WI7W36QWD4J6KDEW3QJY5C47CB/graph.json","fetch_events":"https://pith.science/api/pith-number/WI7W36QWD4J6KDEW3QJY5C47CB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WI7W36QWD4J6KDEW3QJY5C47CB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WI7W36QWD4J6KDEW3QJY5C47CB/action/storage_attestation","attest_author":"https://pith.science/pith/WI7W36QWD4J6KDEW3QJY5C47CB/action/author_attestation","sign_citation":"https://pith.science/pith/WI7W36QWD4J6KDEW3QJY5C47CB/action/citation_signature","submit_replication":"https://pith.science/pith/WI7W36QWD4J6KDEW3QJY5C47CB/action/replication_record"}},"created_at":"2026-05-18T02:33:01.069077+00:00","updated_at":"2026-05-18T02:33:01.069077+00:00"}