{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:S3SCRKFPEGFSRD6XQOTFHXMTRV","short_pith_number":"pith:S3SCRKFP","schema_version":"1.0","canonical_sha256":"96e428a8af218b288fd783a653dd938d72e91f18e8165081bfe68aabc370a5ac","source":{"kind":"arxiv","id":"1705.02805","version":5},"attestation_state":"computed","paper":{"title":"Existence of regular solutions for a certain type of non-Newtonian Navier-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hwa Kil Kim, Jae-Myoung Kim, Kyungkeun Kang","submitted_at":"2017-05-08T10:02:02Z","abstract_excerpt":"We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids we prove local existence of unique regular solutions, provided that the initial data are sufficiently smooth. Moreover, if the $H^3$-norm of initial data is sufficiently small, then the regular solution exists globally in time."},"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":"1705.02805","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-08T10:02:02Z","cross_cats_sorted":[],"title_canon_sha256":"525124e8c8f7d1fd7845fb14056fbc8a206e00f582fc2e65efc057a39cf17971","abstract_canon_sha256":"f8ee3b73cfe0860f8effa6ef1380e08ea6cb46401824a7f757f9cc8b16771a15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:23.845907Z","signature_b64":"Mm31gNIO6uOAjEPiW5p0UN9bK3h1KpUFq1R7r7xVuiX9NaNB6bFRejik76SbMn+Q2kCZ2ersqjZ+HqR6GPUOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96e428a8af218b288fd783a653dd938d72e91f18e8165081bfe68aabc370a5ac","last_reissued_at":"2026-05-18T00:11:23.845274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:23.845274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence of regular solutions for a certain type of non-Newtonian Navier-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hwa Kil Kim, Jae-Myoung Kim, Kyungkeun Kang","submitted_at":"2017-05-08T10:02:02Z","abstract_excerpt":"We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids we prove local existence of unique regular solutions, provided that the initial data are sufficiently smooth. Moreover, if the $H^3$-norm of initial data is sufficiently small, then the regular solution exists globally in time."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02805","kind":"arxiv","version":5},"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":"1705.02805","created_at":"2026-05-18T00:11:23.845378+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.02805v5","created_at":"2026-05-18T00:11:23.845378+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02805","created_at":"2026-05-18T00:11:23.845378+00:00"},{"alias_kind":"pith_short_12","alias_value":"S3SCRKFPEGFS","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"S3SCRKFPEGFSRD6X","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"S3SCRKFP","created_at":"2026-05-18T12:31:43.269735+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/S3SCRKFPEGFSRD6XQOTFHXMTRV","json":"https://pith.science/pith/S3SCRKFPEGFSRD6XQOTFHXMTRV.json","graph_json":"https://pith.science/api/pith-number/S3SCRKFPEGFSRD6XQOTFHXMTRV/graph.json","events_json":"https://pith.science/api/pith-number/S3SCRKFPEGFSRD6XQOTFHXMTRV/events.json","paper":"https://pith.science/paper/S3SCRKFP"},"agent_actions":{"view_html":"https://pith.science/pith/S3SCRKFPEGFSRD6XQOTFHXMTRV","download_json":"https://pith.science/pith/S3SCRKFPEGFSRD6XQOTFHXMTRV.json","view_paper":"https://pith.science/paper/S3SCRKFP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.02805&json=true","fetch_graph":"https://pith.science/api/pith-number/S3SCRKFPEGFSRD6XQOTFHXMTRV/graph.json","fetch_events":"https://pith.science/api/pith-number/S3SCRKFPEGFSRD6XQOTFHXMTRV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S3SCRKFPEGFSRD6XQOTFHXMTRV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S3SCRKFPEGFSRD6XQOTFHXMTRV/action/storage_attestation","attest_author":"https://pith.science/pith/S3SCRKFPEGFSRD6XQOTFHXMTRV/action/author_attestation","sign_citation":"https://pith.science/pith/S3SCRKFPEGFSRD6XQOTFHXMTRV/action/citation_signature","submit_replication":"https://pith.science/pith/S3SCRKFPEGFSRD6XQOTFHXMTRV/action/replication_record"}},"created_at":"2026-05-18T00:11:23.845378+00:00","updated_at":"2026-05-18T00:11:23.845378+00:00"}