Pith Number

pith:4LGQ3CWH

pith:2019:4LGQ3CWHSP2K2K7GSAIGQ654UA

not attested not anchored not stored refs pending

Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies

Shuwei Zhou, Timon Rabczuk, Xiaoying Zhuang

arxiv:1902.05922 v1 · 2019-02-14 · 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{4LGQ3CWHSP2K2K7GSAIGQ654UA}

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	2026-05-17T23:53:55.092737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cd0d8ac793f4ad2be69010687bbca020e224bb3e7ea26a52aa8c36e7719364

Aliases

arxiv: 1902.05922 · arxiv_version: 1902.05922v1 · doi: 10.48550/arxiv.1902.05922 · pith_short_12: 4LGQ3CWHSP2K · pith_short_16: 4LGQ3CWHSP2K2K7G · pith_short_8: 4LGQ3CWH

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/4LGQ3CWHSP2K2K7GSAIGQ654UA \
  | 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: e2cd0d8ac793f4ad2be69010687bbca020e224bb3e7ea26a52aa8c36e7719364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3e2b623228465e39c988de17d1464e5653bba017a3441dea47947933a73ff12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2019-02-14T10:27:01Z",
    "title_canon_sha256": "3eb1f7a13a8dcd6e88fdaf39fb01f0e69d231ae4ba459294476c3d6341e6cee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05922",
    "kind": "arxiv",
    "version": 1
  }
}