{"paper":{"title":"Geometric quantification for nonlinear deformation in knitted fabrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Knitted fabrics' nonlinear deformations can be quantified by decomposing them into stitch reorientation, loop bending, surface bending, and dilation using reconstructed yarn geometry.","cross_cats":["cs.NA","math.NA"],"primary_cat":"cond-mat.soft","authors_text":"Gary P. T. Choi, Jiani Fang, Xiaoxiao Ding","submitted_at":"2026-04-21T03:26:58Z","abstract_excerpt":"Knitted fabrics exemplify a broad class of architected materials capable of large deformations, enabling shape morphing, mechanical biocompatibility, and embedded multifunctionality without material damage. Although geometric nonlinearity has been intuitively utilized in their design, a quantitative description of stitch-resolved deformation and its temporal evolution remains lacking. Here, we introduce a geometric quantification framework that reconstructs smooth yarn centerlines and fabric surfaces from sparse yarn-level representations and extracts interpretable descriptors across dimension"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Applied to representative knitted structures, this framework resolves how global deformation is distributed among stitch reorientation, loop bending, surface bending, and dilation. Moreover, it reveals how regions of large geometric variation emerge, persist, and redistribute over time.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That smooth yarn centerlines and fabric surfaces can be accurately reconstructed from sparse yarn-level representations and that the resulting geometric descriptors alone suffice to capture and compare nonlinear deformation without direct mechanical validation or stress data.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A geometric quantification framework reconstructs yarn centerlines and fabric surfaces from sparse data to quantify how nonlinear deformation distributes among stitch reorientation, loop bending, surface bending, and dilation in knitted structures.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Knitted fabrics' nonlinear deformations can be quantified by decomposing them into stitch reorientation, loop bending, surface bending, and dilation using reconstructed yarn geometry.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"2272f6b762e3b5433fbb81595760b2fb0891f92dda3be1da5e0656683db5e3bd"},"source":{"id":"2604.19030","kind":"arxiv","version":2},"verdict":{"id":"9d6d3ebb-17a6-427a-98ce-dbe892662a86","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T02:20:18.686513Z","strongest_claim":"Applied to representative knitted structures, this framework resolves how global deformation is distributed among stitch reorientation, loop bending, surface bending, and dilation. Moreover, it reveals how regions of large geometric variation emerge, persist, and redistribute over time.","one_line_summary":"A geometric quantification framework reconstructs yarn centerlines and fabric surfaces from sparse data to quantify how nonlinear deformation distributes among stitch reorientation, loop bending, surface bending, and dilation in knitted structures.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That smooth yarn centerlines and fabric surfaces can be accurately reconstructed from sparse yarn-level representations and that the resulting geometric descriptors alone suffice to capture and compare nonlinear deformation without direct mechanical validation or stress data.","pith_extraction_headline":"Knitted fabrics' nonlinear deformations can be quantified by decomposing them into stitch reorientation, loop bending, surface bending, and dilation using reconstructed yarn geometry."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.19030/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-20T03:24:17.392517Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"67a7967f7376194f4018c12b2bbc38659b8c3be73dca47cdd0e90fec2c1eb273"},"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"}