Pith Number

pith:G3G64E4S

pith:2026:G3G64E4SOTZO5XXPHRENYSDR5P

not attested not anchored not stored refs pending

A matrix-free, differentiable PyTorch solver for phase-field fracture: Formulation, benchmarks, and inverse analysis

Allamaprabhu Ani, Ghatu Subhash, Jean-Fran\c{c}ois Molinari, Sathiskumar Anusuya Ponnusami

arxiv:2606.23458 v1 · 2026-06-22 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3G64E4SOTZO5XXPHRENYSDR5P}

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	2026-06-23T03:14:20.492787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36cdee139274f2eedeef3c48dc4871ebeaf67422213116cf6c16f326e0d2ca14

Aliases

arxiv: 2606.23458 · arxiv_version: 2606.23458v1 · doi: 10.48550/arxiv.2606.23458 · pith_short_12: G3G64E4SOTZO · pith_short_16: G3G64E4SOTZO5XXP · pith_short_8: G3G64E4S

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/G3G64E4SOTZO5XXPHRENYSDR5P \
  | 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: 36cdee139274f2eedeef3c48dc4871ebeaf67422213116cf6c16f326e0d2ca14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf85cb308432dcafee84710be24cf961c0fa436da9e3aee2e5fc364e638c9d9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-06-22T15:06:55Z",
    "title_canon_sha256": "5393076051df9ed8c479dfc12ec66bdfe50353f866617c65bd0bbb903c3e5f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23458",
    "kind": "arxiv",
    "version": 1
  }
}