{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2MORYDKSR5F6A3Z6QSNP3U5YOS","short_pith_number":"pith:2MORYDKS","schema_version":"1.0","canonical_sha256":"d31d1c0d528f4be06f3e849afdd3b8748c70a4b785c8705cc24ea23513a0cab6","source":{"kind":"arxiv","id":"1612.03352","version":1},"attestation_state":"computed","paper":{"title":"Fractional constitutive equation (FACE) for non-Newtonian fluid flow: Theoretical description","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"HongGuang Sun, Jianting Zhu, Song Wei, Yong Zhang","submitted_at":"2016-12-10T22:37:43Z","abstract_excerpt":"Non-Newtonian fluid flow might be driven by spatially nonlocal velocity, the dynamics of which can be described by promising fractional derivative models. This short communication proposes a space FrActional-order Constitutive Equation (FACE) that links viscous shear stress with the velocity gradient, and then interprets physical properties of non-Newtonian fluids for steady pipe flow. Results show that the generalized FACE model contains previous non-Newtonian fluid flow models as end-members by simply adjusting the order of the fractional index, and a preliminary test shows that the FACE mod"},"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":"1612.03352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-12-10T22:37:43Z","cross_cats_sorted":[],"title_canon_sha256":"7cea9905e67bd44c5c17f0007ffe90c2107f227c91987b089e16209f2bf26b64","abstract_canon_sha256":"8eb471fccc18a8c04f4c09084ee1c67e5c8c6d350699362bddc1730c4fd8a216"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:19.490281Z","signature_b64":"K3osylSB5hjXfHDXFncBkacBYh7S0GwUeFDfUtnoadbXCCttie6+FSoA4xcTLX7eDMmWEuRfMX0ItvFKLrxYDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d31d1c0d528f4be06f3e849afdd3b8748c70a4b785c8705cc24ea23513a0cab6","last_reissued_at":"2026-05-18T00:55:19.489733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:19.489733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractional constitutive equation (FACE) for non-Newtonian fluid flow: Theoretical description","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"HongGuang Sun, Jianting Zhu, Song Wei, Yong Zhang","submitted_at":"2016-12-10T22:37:43Z","abstract_excerpt":"Non-Newtonian fluid flow might be driven by spatially nonlocal velocity, the dynamics of which can be described by promising fractional derivative models. This short communication proposes a space FrActional-order Constitutive Equation (FACE) that links viscous shear stress with the velocity gradient, and then interprets physical properties of non-Newtonian fluids for steady pipe flow. Results show that the generalized FACE model contains previous non-Newtonian fluid flow models as end-members by simply adjusting the order of the fractional index, and a preliminary test shows that the FACE mod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03352","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":"1612.03352","created_at":"2026-05-18T00:55:19.489806+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.03352v1","created_at":"2026-05-18T00:55:19.489806+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03352","created_at":"2026-05-18T00:55:19.489806+00:00"},{"alias_kind":"pith_short_12","alias_value":"2MORYDKSR5F6","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2MORYDKSR5F6A3Z6","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2MORYDKS","created_at":"2026-05-18T12:29:55.572404+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/2MORYDKSR5F6A3Z6QSNP3U5YOS","json":"https://pith.science/pith/2MORYDKSR5F6A3Z6QSNP3U5YOS.json","graph_json":"https://pith.science/api/pith-number/2MORYDKSR5F6A3Z6QSNP3U5YOS/graph.json","events_json":"https://pith.science/api/pith-number/2MORYDKSR5F6A3Z6QSNP3U5YOS/events.json","paper":"https://pith.science/paper/2MORYDKS"},"agent_actions":{"view_html":"https://pith.science/pith/2MORYDKSR5F6A3Z6QSNP3U5YOS","download_json":"https://pith.science/pith/2MORYDKSR5F6A3Z6QSNP3U5YOS.json","view_paper":"https://pith.science/paper/2MORYDKS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.03352&json=true","fetch_graph":"https://pith.science/api/pith-number/2MORYDKSR5F6A3Z6QSNP3U5YOS/graph.json","fetch_events":"https://pith.science/api/pith-number/2MORYDKSR5F6A3Z6QSNP3U5YOS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2MORYDKSR5F6A3Z6QSNP3U5YOS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2MORYDKSR5F6A3Z6QSNP3U5YOS/action/storage_attestation","attest_author":"https://pith.science/pith/2MORYDKSR5F6A3Z6QSNP3U5YOS/action/author_attestation","sign_citation":"https://pith.science/pith/2MORYDKSR5F6A3Z6QSNP3U5YOS/action/citation_signature","submit_replication":"https://pith.science/pith/2MORYDKSR5F6A3Z6QSNP3U5YOS/action/replication_record"}},"created_at":"2026-05-18T00:55:19.489806+00:00","updated_at":"2026-05-18T00:55:19.489806+00:00"}