{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NHFRZ5H447VCYG353BWB7V4VIB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b540afd15861ecc8a4a6372b8ff406a0da99ed0329dbaf37dc06abd7185f9799","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-03T13:31:14Z","title_canon_sha256":"f660db61d1ec53e03be33de39d35994b3fe123896ec4b711ab2662a9879fb192"},"schema_version":"1.0","source":{"id":"1801.00998","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00998","created_at":"2026-05-18T00:15:18Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00998v2","created_at":"2026-05-18T00:15:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00998","created_at":"2026-05-18T00:15:18Z"},{"alias_kind":"pith_short_12","alias_value":"NHFRZ5H447VC","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NHFRZ5H447VCYG35","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NHFRZ5H4","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:fc68da10456e472408d0e5426d354e8b52d61f09b7c7dba002ca7bd79cf0343c","target":"graph","created_at":"2026-05-18T00:15:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Abhik Basu, Tirthankar Banerjee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-03T13:31:14Z","title":"Perspectives on scaling and multiscaling in passive scalar turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00998","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:46747432a253a5dd80b652e305628ea204708e6db36e0b3e8f770e148a654f20","target":"record","created_at":"2026-05-18T00:15:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b540afd15861ecc8a4a6372b8ff406a0da99ed0329dbaf37dc06abd7185f9799","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-03T13:31:14Z","title_canon_sha256":"f660db61d1ec53e03be33de39d35994b3fe123896ec4b711ab2662a9879fb192"},"schema_version":"1.0","source":{"id":"1801.00998","kind":"arxiv","version":2}},"canonical_sha256":"69cb1cf4fce7ea2c1b7dd86c1fd795404a644c34b24c09acf95be22a71f36aa1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69cb1cf4fce7ea2c1b7dd86c1fd795404a644c34b24c09acf95be22a71f36aa1","first_computed_at":"2026-05-18T00:15:18.969757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:18.969757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nZBRzo3sz1eLuMe8N51rWtJx0nm+m94oMvhJpHwd1u50xvQWYsEakuzIAiBLlO8cvAXwbV1si/CGKvvZqg5JBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:18.970402Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00998","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46747432a253a5dd80b652e305628ea204708e6db36e0b3e8f770e148a654f20","sha256:fc68da10456e472408d0e5426d354e8b52d61f09b7c7dba002ca7bd79cf0343c"],"state_sha256":"441027b631fb877f7011a8a78b2033b5617173298ab1f5b2782b1944f071cc15"}