{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:UNEPI3XA5ZFQWFYKR2ZEBWELLN","short_pith_number":"pith:UNEPI3XA","schema_version":"1.0","canonical_sha256":"a348f46ee0ee4b0b170a8eb240d88b5b75fa21a0214633b6f4bf0fc14a730c84","source":{"kind":"arxiv","id":"1803.06880","version":1},"attestation_state":"computed","paper":{"title":"Scaling of energy amplification in viscoelastic channel and Couette flow","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Dennice F. Gayme, Ismail Hameduddin, Tamer A. Zaki","submitted_at":"2018-03-19T11:57:38Z","abstract_excerpt":"The linear amplification of disturbances is critical in setting up transition scenarios in viscoelastic channel and Couette flow, and may also play an important role when such flows are fully turbulent. As such, it is of interest to assess how this amplification, defined as the steady-state variance maintained under Gaussian white noise forcing, scales with the main nondimensional parameters: the Reynolds ($Re$) and Weissenberg ($Wi$) numbers. This scaling is derived analytically in the two limits of strong and weak elasticity for when the forcing is streamwise-constant. The latter is the rele"},"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":"1803.06880","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-03-19T11:57:38Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"05d70fb535b1b20e708e28b7e57b586843e41852989d17394ee4094995fb3bf6","abstract_canon_sha256":"2965ebd27fe923f1774ddd478f3adff415beacd101ea67b66023823aba762fec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:40.992385Z","signature_b64":"qFaAUa9JQIq4JLEXzIZyBS7eotki6uFBxFHioGb81+drUT/HKK3QqZrvUC1+lTfrApKKTj/9UiJTyk25V/wGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a348f46ee0ee4b0b170a8eb240d88b5b75fa21a0214633b6f4bf0fc14a730c84","last_reissued_at":"2026-05-18T00:20:40.991654Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:40.991654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scaling of energy amplification in viscoelastic channel and Couette flow","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Dennice F. Gayme, Ismail Hameduddin, Tamer A. Zaki","submitted_at":"2018-03-19T11:57:38Z","abstract_excerpt":"The linear amplification of disturbances is critical in setting up transition scenarios in viscoelastic channel and Couette flow, and may also play an important role when such flows are fully turbulent. As such, it is of interest to assess how this amplification, defined as the steady-state variance maintained under Gaussian white noise forcing, scales with the main nondimensional parameters: the Reynolds ($Re$) and Weissenberg ($Wi$) numbers. This scaling is derived analytically in the two limits of strong and weak elasticity for when the forcing is streamwise-constant. The latter is the rele"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06880","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":"1803.06880","created_at":"2026-05-18T00:20:40.991772+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.06880v1","created_at":"2026-05-18T00:20:40.991772+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06880","created_at":"2026-05-18T00:20:40.991772+00:00"},{"alias_kind":"pith_short_12","alias_value":"UNEPI3XA5ZFQ","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"UNEPI3XA5ZFQWFYK","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"UNEPI3XA","created_at":"2026-05-18T12:32:56.356000+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/UNEPI3XA5ZFQWFYKR2ZEBWELLN","json":"https://pith.science/pith/UNEPI3XA5ZFQWFYKR2ZEBWELLN.json","graph_json":"https://pith.science/api/pith-number/UNEPI3XA5ZFQWFYKR2ZEBWELLN/graph.json","events_json":"https://pith.science/api/pith-number/UNEPI3XA5ZFQWFYKR2ZEBWELLN/events.json","paper":"https://pith.science/paper/UNEPI3XA"},"agent_actions":{"view_html":"https://pith.science/pith/UNEPI3XA5ZFQWFYKR2ZEBWELLN","download_json":"https://pith.science/pith/UNEPI3XA5ZFQWFYKR2ZEBWELLN.json","view_paper":"https://pith.science/paper/UNEPI3XA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.06880&json=true","fetch_graph":"https://pith.science/api/pith-number/UNEPI3XA5ZFQWFYKR2ZEBWELLN/graph.json","fetch_events":"https://pith.science/api/pith-number/UNEPI3XA5ZFQWFYKR2ZEBWELLN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UNEPI3XA5ZFQWFYKR2ZEBWELLN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UNEPI3XA5ZFQWFYKR2ZEBWELLN/action/storage_attestation","attest_author":"https://pith.science/pith/UNEPI3XA5ZFQWFYKR2ZEBWELLN/action/author_attestation","sign_citation":"https://pith.science/pith/UNEPI3XA5ZFQWFYKR2ZEBWELLN/action/citation_signature","submit_replication":"https://pith.science/pith/UNEPI3XA5ZFQWFYKR2ZEBWELLN/action/replication_record"}},"created_at":"2026-05-18T00:20:40.991772+00:00","updated_at":"2026-05-18T00:20:40.991772+00:00"}