Pith Number

pith:4227HOWI

pith:2026:4227HOWIT3H7QEMDHJYJCTGFA5

not attested not anchored not stored refs pending

Matrix-free phase-field modeling of fracture in micromechanical testing simulations of inelastic materials

Fabio Di Gioacchino, Jed Brown, Jeremy Thompson, Karen Stengel, Layla Ghaffari, Rezgar Shakeri, Zachary Atkins

arxiv:2607.21150 v1 · 2026-07-23 · physics.comp-ph · cond-mat.mtrl-sci · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4227HOWIT3H7QEMDHJYJCTGFA5}

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.

Receipt and verification

First computed	2026-07-24T01:23:55.710828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b5f3bac89ecff811833a70914cc5076438bc5f8fefcb990c03e55c8e1f9af8

Aliases

arxiv: 2607.21150 · arxiv_version: 2607.21150v1 · doi: 10.48550/arxiv.2607.21150 · pith_short_12: 4227HOWIT3H7 · pith_short_16: 4227HOWIT3H7QEMD · pith_short_8: 4227HOWI

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/4227HOWIT3H7QEMDHJYJCTGFA5 \
  | 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: e6b5f3bac89ecff811833a70914cc5076438bc5f8fefcb990c03e55c8e1f9af8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06500d7d61621b5156c6874b6c738363fee371afc850a9447070e5eb5f5c032",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-07-23T10:33:08Z",
    "title_canon_sha256": "f823e275f6ed7c38484cc0acbaf6ae8d61262d9c5f09ec100a4d041577894871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21150",
    "kind": "arxiv",
    "version": 1
  }
}