Pith Number

pith:JTQ5QXI6

pith:2026:JTQ5QXI6VAFPQHWKTEJBUGPYWN

not attested not anchored not stored refs resolved

Wrinkles, rucks, and folds formed in a heavy sheet on a frictional surface

Hirofumi Wada, Keisuke Yoshida

Lifting the center of a heavy elastic sheet produces wrinkles then rucks and folds, with a universal wrinkling threshold set by elasticity and gravity alone when friction is absent.

arxiv:2601.00313 v2 · 2026-01-01 · cond-mat.soft

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\pithnumber{JTQ5QXI6VAFPQHWKTEJBUGPYWN}

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Record completeness

1 Bitcoin timestamp

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

In the frictionless case, elasticity and gravity alone govern the response, leading to a universal wrinkling threshold: the wrinkle number is fixed and the onset displacement scales linearly with the sheet thickness.

C2weakest assumption

That a single nondimensional frictional parameter fully captures the contact interactions without needing detailed local friction modeling or history dependence.

C3one line summary

Lifting a gravity-loaded elastic sheet creates wrinkles, rucks, and folds with a universal wrinkling threshold in the frictionless limit and an extra frictional parameter otherwise.

References

69 extracted · 69 resolved · 0 Pith anchors

[1] E. Cerda, L. Mahadevan, and J. M. Pasini, The elements of draping, Proc. Natl. Acad. Sci. USA101, 1806 (2004) 2004

[2] J.-S. Chen and Y.-Y. Fang, Non-axisymmetric warping of a heavy circular plate on a flexible ring support, Int. J. Solids Struct.47, 2767 (2010) 2010

[3] G. Boedec and J. Deschamps, Disk wrinkling under grav- ity, Int. J. Solids Struct.233, 111214 (2021) 2021

[4] H. Vandeparre, M. Pi˜ neirua, F. Brau, B. Roman, J. Bico, C. Gay, W. Bao, C. N. Lau, P. M. Reis, and P. Damman, Wrinkling hierarchy in constrained thin sheets from sus- pended graphene to curtains, Ph 2011

[5] M. Taffetani, F. Box, A. Neveu, and D. Vella, Limitations of curvature-induced rigidity: How a curved strip buckles under gravity, Europhys. Lett.127, 14001 (2019) 2019

Receipt and verification

First computed	2026-05-20T00:00:31.437946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ce1d85d1ea80af81eca99121a19f8b34fd30970e840b79decbc197820f6efd4

Aliases

arxiv: 2601.00313 · arxiv_version: 2601.00313v2 · doi: 10.48550/arxiv.2601.00313 · pith_short_12: JTQ5QXI6VAFP · pith_short_16: JTQ5QXI6VAFPQHWK · pith_short_8: JTQ5QXI6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JTQ5QXI6VAFPQHWKTEJBUGPYWN \
  | 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: 4ce1d85d1ea80af81eca99121a19f8b34fd30970e840b79decbc197820f6efd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19210d18b7393a50dd509d29a46edb767e0a6343d9a347804233a81470d6f96d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-01-01T11:31:08Z",
    "title_canon_sha256": "e6fe26924675d97e05b995cf0ba70031caa8ac9ccbd84d60176980fc55fb5a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.00313",
    "kind": "arxiv",
    "version": 2
  }
}