Pith Number

pith:6KHYGFBY

pith:2026:6KHYGFBYU3JZWXFQGSJ5NNSTR2

not attested not anchored not stored refs pending

Geometric quantification for nonlinear deformation in knitted fabrics

Gary P. T. Choi, Jiani Fang, Xiaoxiao Ding

Knitted fabrics' nonlinear deformations can be quantified by decomposing them into stitch reorientation, loop bending, surface bending, and dilation using reconstructed yarn geometry.

arxiv:2604.19030 v2 · 2026-04-21 · cond-mat.soft · cs.NA · math.NA

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\usepackage{pith}
\pithnumber{6KHYGFBYU3JZWXFQGSJ5NNSTR2}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest 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.

C2weakest 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.

C3one 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.

Receipt and verification

First computed	2026-07-15T01:21:56.014750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f28f831438a6d39b5cb03493d6b6538eb4f151371fcce12d82beb0f6669b45b4

Aliases

arxiv: 2604.19030 · arxiv_version: 2604.19030v2 · doi: 10.48550/arxiv.2604.19030 · pith_short_12: 6KHYGFBYU3JZ · pith_short_16: 6KHYGFBYU3JZWXFQ · pith_short_8: 6KHYGFBY

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6KHYGFBYU3JZWXFQGSJ5NNSTR2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f28f831438a6d39b5cb03493d6b6538eb4f151371fcce12d82beb0f6669b45b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2936cccd093e5594d2200f3e5ce801d9ff463e163e8bf064baa2b88e15640b99",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-04-21T03:26:58Z",
    "title_canon_sha256": "7c1fe9a1e2f2100f4d8dee04945deab4278bea519634362f12febe5abc80ec60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19030",
    "kind": "arxiv",
    "version": 2
  }
}