Pith Number

pith:255KYKCC

pith:2026:255KYKCCFQHO6DBYXLHNRBKXVK

not attested not anchored not stored refs pending

Two-dimensional FrBD friction models for rolling contact: extension to linear viscoelasticity

Luigi Romano

Linear viscoelasticity extends the FrBD rolling contact framework to a system of 2(n+1) hyperbolic PDEs that capture relaxation while ensuring well-posedness and passivity.

arxiv:2601.13818 v10 · 2026-01-20 · physics.app-ph · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{255KYKCCFQHO6DBYXLHNRBKXVK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

With this modelling approach, the dynamics of the bristle, generated friction forces, and internal deformation states are described by a system of 2(n+1) hyperbolic partial differential equations (PDEs), which can capture complex relaxation phenomena originating from viscoelastic behaviours. ... well-posedness and passivity are analysed rigorously, showing that these properties hold for any physically meaningful parametrisation.

C2weakest assumption

The assumption that the bristle element can be represented using classic derivative Generalised Maxwell and Kelvin-Voigt rheological models, combined with the ability to specify analytical expressions for the transport and rigid relative velocity that account for different spin excitations.

C3one line summary

Extends the FrBD rolling contact model to linear viscoelasticity via Generalized Maxwell and Kelvin-Voigt bristle models, producing a system of 2(n+1) hyperbolic PDEs with proven well-posedness and passivity for linear cases.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-02T02:04:50.000443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d77aac28422c0eef0c38baced88557aabc8de34fa136a4e82a7043387136f9e9

Aliases

arxiv: 2601.13818 · arxiv_version: 2601.13818v10 · doi: 10.48550/arxiv.2601.13818 · pith_short_12: 255KYKCCFQHO · pith_short_16: 255KYKCCFQHO6DBY · pith_short_8: 255KYKCC

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/255KYKCCFQHO6DBYXLHNRBKXVK \
  | 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: d77aac28422c0eef0c38baced88557aabc8de34fa136a4e82a7043387136f9e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799feae83b1d570536c522dcf3809c7dd0a53d79c3df8bda586456140d4f0138",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2026-01-20T10:24:35Z",
    "title_canon_sha256": "65931fa730d642e8ce93f03ac6324f80e7c3bc1a1b1f8d1e93ee1a12ede616a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.13818",
    "kind": "arxiv",
    "version": 10
  }
}