Pith Number

pith:CJVEQESF

pith:2025:CJVEQESFIQQA6R2DF2IHHJMHJF

not attested not anchored not stored refs pending

Unsupervised full-field Bayesian inference of orthotropic hyperelasticity from a single biaxial test: a myocardial case study

Akshay Joshi, Mathias Peirlinck, Rogier P. Krijnen, Siddhant Kumar

Bayesian inference from full-field kinematics of one heterogeneous biaxial test recovers Holzapfel-Ogden parameters for myocardial tissue with quantified uncertainty.

arxiv:2510.09498 v3 · 2025-10-10 · q-bio.TO · cs.CE · cs.LG

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\usepackage{pith}
\pithnumber{CJVEQESFIQQA6R2DF2IHHJMHJF}

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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

✓ 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

Using synthetic myocardial tissue slabs, we demonstrate that a single heterogeneous biaxial experiment, combined with sparse reaction-force measurements, enables robust recovery of Holzapfel-Ogden parameters with quantified uncertainty, across multiple noise levels.

C2weakest assumption

The deformation field produced by a single heterogeneous biaxial test supplies enough independent information to identify all orthotropic hyperelastic parameters without model-form error or the need for additional loading directions (abstract, paragraph describing the numerical experiments).

C3one line summary

Bayesian EUCLID recovers Holzapfel-Ogden orthotropic hyperelastic parameters with uncertainty from a single heterogeneous biaxial test on synthetic myocardial tissue.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Uncertainty quantification in mechanics: A unified Bayesian perspective

Receipt and verification

First computed	2026-06-10T01:09:44.967245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

126a48124544200f47432e9073a587494991e42f6f0292cb82f797b08e97cadd

Aliases

arxiv: 2510.09498 · arxiv_version: 2510.09498v3 · doi: 10.48550/arxiv.2510.09498 · pith_short_12: CJVEQESFIQQA · pith_short_16: CJVEQESFIQQA6R2D · pith_short_8: CJVEQESF

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/CJVEQESFIQQA6R2DF2IHHJMHJF \
  | 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: 126a48124544200f47432e9073a587494991e42f6f0292cb82f797b08e97cadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e472164aa029bc82e4086f29f670d10c81d8cfc8e2e7dee4746fc604a996345",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.TO",
    "submitted_at": "2025-10-10T15:59:49Z",
    "title_canon_sha256": "2efb47998209c595a9c4b5a1468b88f2c87eb51f052af3cb4c967093bf2f6b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.09498",
    "kind": "arxiv",
    "version": 3
  }
}