{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:E2YYGWCLEDG3GLVJRSJILA6BKO","short_pith_number":"pith:E2YYGWCL","schema_version":"1.0","canonical_sha256":"26b183584b20cdb32ea98c928583c153b2accc5a2645d8a68e786d073d46ff9b","source":{"kind":"arxiv","id":"1803.07619","version":1},"attestation_state":"computed","paper":{"title":"Geometric decomposition of the conformation tensor in viscoelastic turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Charles Meneveau, Dennice F. Gayme, Ismail Hameduddin, Tamer A. Zaki","submitted_at":"2018-03-20T19:36:34Z","abstract_excerpt":"This work introduces a mathematical approach to analysing the polymer dynamics in turbulent viscoelastic flows that uses a new geometric decomposition of the conformation tensor, along with associated scalar measures of the polymer fluctuations. The approach circumvents an inherent difficulty in traditional Reynolds decompositions of the conformation tensor: the fluctuating tensor fields are not positive-definite and so do not retain the physical meaning of the tensor. The geometric decomposition of the conformation tensor yields both mean and fluctuating tensor fields that are positive-defini"},"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":"1803.07619","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-03-20T19:36:34Z","cross_cats_sorted":[],"title_canon_sha256":"c32ab4f78aa42ecff77646c6c6738dbf939b1cc47ec564bc922424ddce5fc66e","abstract_canon_sha256":"d5478917fca2533c5ca2ebe2258a1e11ebdaa9f407d3e685d045318f6a1dfdaf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:29.406341Z","signature_b64":"+LywWp2cA46zYrBC7Y73TORmNrIRgMfoS9Q/eKYEoXkTipdbdOntx0XgmqJEOUyK+XsPVBYyRA2wDFd9jZNgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26b183584b20cdb32ea98c928583c153b2accc5a2645d8a68e786d073d46ff9b","last_reissued_at":"2026-05-18T00:20:29.405858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:29.405858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric decomposition of the conformation tensor in viscoelastic turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Charles Meneveau, Dennice F. Gayme, Ismail Hameduddin, Tamer A. Zaki","submitted_at":"2018-03-20T19:36:34Z","abstract_excerpt":"This work introduces a mathematical approach to analysing the polymer dynamics in turbulent viscoelastic flows that uses a new geometric decomposition of the conformation tensor, along with associated scalar measures of the polymer fluctuations. The approach circumvents an inherent difficulty in traditional Reynolds decompositions of the conformation tensor: the fluctuating tensor fields are not positive-definite and so do not retain the physical meaning of the tensor. The geometric decomposition of the conformation tensor yields both mean and fluctuating tensor fields that are positive-defini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07619","kind":"arxiv","version":1},"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":"1803.07619","created_at":"2026-05-18T00:20:29.405923+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.07619v1","created_at":"2026-05-18T00:20:29.405923+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.07619","created_at":"2026-05-18T00:20:29.405923+00:00"},{"alias_kind":"pith_short_12","alias_value":"E2YYGWCLEDG3","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"E2YYGWCLEDG3GLVJ","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"E2YYGWCL","created_at":"2026-05-18T12:32:19.392346+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/E2YYGWCLEDG3GLVJRSJILA6BKO","json":"https://pith.science/pith/E2YYGWCLEDG3GLVJRSJILA6BKO.json","graph_json":"https://pith.science/api/pith-number/E2YYGWCLEDG3GLVJRSJILA6BKO/graph.json","events_json":"https://pith.science/api/pith-number/E2YYGWCLEDG3GLVJRSJILA6BKO/events.json","paper":"https://pith.science/paper/E2YYGWCL"},"agent_actions":{"view_html":"https://pith.science/pith/E2YYGWCLEDG3GLVJRSJILA6BKO","download_json":"https://pith.science/pith/E2YYGWCLEDG3GLVJRSJILA6BKO.json","view_paper":"https://pith.science/paper/E2YYGWCL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.07619&json=true","fetch_graph":"https://pith.science/api/pith-number/E2YYGWCLEDG3GLVJRSJILA6BKO/graph.json","fetch_events":"https://pith.science/api/pith-number/E2YYGWCLEDG3GLVJRSJILA6BKO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E2YYGWCLEDG3GLVJRSJILA6BKO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E2YYGWCLEDG3GLVJRSJILA6BKO/action/storage_attestation","attest_author":"https://pith.science/pith/E2YYGWCLEDG3GLVJRSJILA6BKO/action/author_attestation","sign_citation":"https://pith.science/pith/E2YYGWCLEDG3GLVJRSJILA6BKO/action/citation_signature","submit_replication":"https://pith.science/pith/E2YYGWCLEDG3GLVJRSJILA6BKO/action/replication_record"}},"created_at":"2026-05-18T00:20:29.405923+00:00","updated_at":"2026-05-18T00:20:29.405923+00:00"}