{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:NHFRZ5H447VCYG353BWB7V4VIB","short_pith_number":"pith:NHFRZ5H4","schema_version":"1.0","canonical_sha256":"69cb1cf4fce7ea2c1b7dd86c1fd795404a644c34b24c09acf95be22a71f36aa1","source":{"kind":"arxiv","id":"1801.00998","version":2},"attestation_state":"computed","paper":{"title":"Perspectives on scaling and multiscaling in passive scalar turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abhik Basu, Tirthankar Banerjee","submitted_at":"2018-01-03T13:31:14Z","abstract_excerpt":"We revisit the well-known problem of multiscaling in substances passively advected by homogeneous and isotropic turbulent flows or passive scalar turbulence. To that end we propose a two-parameter continuum hydrodynamic model for an advected substance concentration $\\theta$, parametrised jointly by $y$ and $\\overline y$, that characterise the spatial scaling behaviour of the variances of the advecting stochastic velocity and the stochastic additive driving force, respectively. We analyse it within a one-loop dynamic renormalisation group method to calculate the multiscaling exponents of the eq"},"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":"1801.00998","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-03T13:31:14Z","cross_cats_sorted":[],"title_canon_sha256":"f660db61d1ec53e03be33de39d35994b3fe123896ec4b711ab2662a9879fb192","abstract_canon_sha256":"b540afd15861ecc8a4a6372b8ff406a0da99ed0329dbaf37dc06abd7185f9799"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:18.970402Z","signature_b64":"nZBRzo3sz1eLuMe8N51rWtJx0nm+m94oMvhJpHwd1u50xvQWYsEakuzIAiBLlO8cvAXwbV1si/CGKvvZqg5JBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69cb1cf4fce7ea2c1b7dd86c1fd795404a644c34b24c09acf95be22a71f36aa1","last_reissued_at":"2026-05-18T00:15:18.969757Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:18.969757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Perspectives on scaling and multiscaling in passive scalar turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abhik Basu, Tirthankar Banerjee","submitted_at":"2018-01-03T13:31:14Z","abstract_excerpt":"We revisit the well-known problem of multiscaling in substances passively advected by homogeneous and isotropic turbulent flows or passive scalar turbulence. To that end we propose a two-parameter continuum hydrodynamic model for an advected substance concentration $\\theta$, parametrised jointly by $y$ and $\\overline y$, that characterise the spatial scaling behaviour of the variances of the advecting stochastic velocity and the stochastic additive driving force, respectively. We analyse it within a one-loop dynamic renormalisation group method to calculate the multiscaling exponents of the eq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00998","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":"1801.00998","created_at":"2026-05-18T00:15:18.969855+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.00998v2","created_at":"2026-05-18T00:15:18.969855+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00998","created_at":"2026-05-18T00:15:18.969855+00:00"},{"alias_kind":"pith_short_12","alias_value":"NHFRZ5H447VC","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"NHFRZ5H447VCYG35","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"NHFRZ5H4","created_at":"2026-05-18T12:32:40.477152+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/NHFRZ5H447VCYG353BWB7V4VIB","json":"https://pith.science/pith/NHFRZ5H447VCYG353BWB7V4VIB.json","graph_json":"https://pith.science/api/pith-number/NHFRZ5H447VCYG353BWB7V4VIB/graph.json","events_json":"https://pith.science/api/pith-number/NHFRZ5H447VCYG353BWB7V4VIB/events.json","paper":"https://pith.science/paper/NHFRZ5H4"},"agent_actions":{"view_html":"https://pith.science/pith/NHFRZ5H447VCYG353BWB7V4VIB","download_json":"https://pith.science/pith/NHFRZ5H447VCYG353BWB7V4VIB.json","view_paper":"https://pith.science/paper/NHFRZ5H4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.00998&json=true","fetch_graph":"https://pith.science/api/pith-number/NHFRZ5H447VCYG353BWB7V4VIB/graph.json","fetch_events":"https://pith.science/api/pith-number/NHFRZ5H447VCYG353BWB7V4VIB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NHFRZ5H447VCYG353BWB7V4VIB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NHFRZ5H447VCYG353BWB7V4VIB/action/storage_attestation","attest_author":"https://pith.science/pith/NHFRZ5H447VCYG353BWB7V4VIB/action/author_attestation","sign_citation":"https://pith.science/pith/NHFRZ5H447VCYG353BWB7V4VIB/action/citation_signature","submit_replication":"https://pith.science/pith/NHFRZ5H447VCYG353BWB7V4VIB/action/replication_record"}},"created_at":"2026-05-18T00:15:18.969855+00:00","updated_at":"2026-05-18T00:15:18.969855+00:00"}