Pith Number

pith:T27QYCIH

pith:2026:T27QYCIHFAG6MYYELXZWOLXG2G

not attested not anchored not stored refs pending

Inverse Design of Metainterfaces for Static Friction Control: Beyond the Hertzian Limit

Arnav Singhal, Ga\"etan Cortes, Jacopo Bilotto, Jean-Fran\c{c}ois Molinari, Joaquin Garcia-Suarez, Lucas Fourel

General axisymmetric asperities enable nonlinear static friction responses beyond standard Hertzian limits through inverse design.

arxiv:2605.11012 v2 · 2026-05-10 · cond-mat.soft

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\pithnumber{T27QYCIHFAG6MYYELXZWOLXG2G}

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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

By utilizing general axisymmetric asperities, we unlock nonlinear macroscopic responses unattainable by standard Hertzian contacts... we leverage regularized physical gradients to automatically discover non-standard topographies that reproduce complex target friction laws, with only a few asperities in unit cells. The predicted designs are strictly validated against high-fidelity Boundary Element Method (BEM) simulations.

C2weakest assumption

That the fully differentiable contact mechanics engine accurately captures the physics of general axisymmetric asperities at the relevant scales and that the regularized gradients reliably guide the optimizer to physically realizable designs without hidden instabilities or fabrication constraints.

C3one line summary

A differentiable physics engine inside a neural network discovers non-Hertzian asperity shapes that produce programmable nonlinear friction-area relations, validated by BEM simulations.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T02:05:45.853973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ebf0c0907280de663045df3672ee6d1921b9549d7b1e6b596d8277069f5e785

Aliases

arxiv: 2605.11012 · arxiv_version: 2605.11012v2 · doi: 10.48550/arxiv.2605.11012 · pith_short_12: T27QYCIHFAG6 · pith_short_16: T27QYCIHFAG6MYYE · pith_short_8: T27QYCIH

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T27QYCIHFAG6MYYELXZWOLXG2G \
  | 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: 9ebf0c0907280de663045df3672ee6d1921b9549d7b1e6b596d8277069f5e785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78de6d2f82a94867d471a328edde644c93502562062544a3517f591ad918a0e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-05-10T11:26:20Z",
    "title_canon_sha256": "a73a0997e151941671a46b67c25239c549e2764b1cc9e12d2f08308283ed9c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11012",
    "kind": "arxiv",
    "version": 2
  }
}