Pith Number

pith:Y2LSQIA2

pith:2026:Y2LSQIA2F52KELILPYXMGDRVZY

not attested not anchored not stored refs resolved

Lattice-Spring Analogy for Isotropic Elasticity

D. M. Li, Meng-Cheng HE

Amending the strain energy in lattice spring models with volumetric constraints enables exact simulation of isotropic elasticity for arbitrary Poisson ratios.

arxiv:2605.15209 v1 · 2026-05-03 · physics.comp-ph · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2LSQIA2F52KELILPYXMGDRVZY}

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

By amending the total strain energy within the Lattice Spring Model, IELSM provides a self-consistent formulation for simulating isotropic elastic materials with arbitrary Poisson's ratios, establishing a direct and exact mapping between IELSM's parameters and macroscopic elastic constants.

C2weakest assumption

The premise that the added volumetric constraints can be exactly decomposed into standard mechanical components (axial, shear and rotational springs) without introducing discretization artifacts or violating equilibrium in general boundary-value problems, as stated in the description of the numerical implementation.

C3one line summary

IELSM augments lattice spring strain energy with volumetric constraints to map directly to isotropic elastic constants for arbitrary Poisson ratios in 2D.

References

4 extracted · 4 resolved · 0 Pith anchors

[1] This can be understood from the fact that enhancing the volumetric stiffness (i.e., kv >

[2] concave downward 2012

[3] Free vibration analysis of a cracked shear deformable beam on a two -parameter elastic foundation using a lattice spring model 2015 · doi:10.1016/j.compgeo.2015.07.013

[4] Theoretical formulation and seamless discrete approximation for localized failure of saturated poro-plastic structure interacting with reservoir 2019 · doi:10.1002/nme.99

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:46.324134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c69728201a2f74a22d0b7e2ec30e35ce19145919215e98167ed4b5a3f5cf6a69

Aliases

arxiv: 2605.15209 · arxiv_version: 2605.15209v1 · doi: 10.48550/arxiv.2605.15209 · pith_short_12: Y2LSQIA2F52K · pith_short_16: Y2LSQIA2F52KELIL · pith_short_8: Y2LSQIA2

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/Y2LSQIA2F52KELILPYXMGDRVZY \
  | 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: c69728201a2f74a22d0b7e2ec30e35ce19145919215e98167ed4b5a3f5cf6a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b72bef346d9c82509561eed8816b7862b36fb0e00e73862cafed5d14f24489e6",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-05-03T14:48:17Z",
    "title_canon_sha256": "d06ee97de167979b6a34f2d5b82691c47043ae5d2b5f332ca16ce99110c28737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15209",
    "kind": "arxiv",
    "version": 1
  }
}