Pith Number

pith:YP3FAMH5

pith:2025:YP3FAMH5OLZN3FRNAIVLJWANCM

not attested not anchored not stored refs pending

Revisit of Two-dimensional CEM on Crack Branching: from Single Crack-tip Tracking to Multiple Crack-tips Tracking

Hongyou Cao, Miao Su, Xiaolong He, Yuxi Xie, Zhipeng Lai

arxiv:2509.01827 v1 · 2025-09-01 · 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{YP3FAMH5OLZN3FRNAIVLJWANCM}

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	2026-07-05T12:03:09.631423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f65030fd72f2dd962d022ab4d80d1309ac4f0d12bc83618e4a51e237ef7dfb

Aliases

arxiv: 2509.01827 · arxiv_version: 2509.01827v1 · doi: 10.48550/arxiv.2509.01827 · pith_short_12: YP3FAMH5OLZN · pith_short_16: YP3FAMH5OLZN3FRN · pith_short_8: YP3FAMH5

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/YP3FAMH5OLZN3FRNAIVLJWANCM \
  | 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: c3f65030fd72f2dd962d022ab4d80d1309ac4f0d12bc83618e4a51e237ef7dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e88b4de447b3d02d272aa8e922d54567cec76a5bd8a0389e2f27ec7c2b756b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2025-09-01T23:13:46Z",
    "title_canon_sha256": "8fc4124c479717cdd9462a7d85a16152052fd1dd1fd26c2079f79e2076336ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01827",
    "kind": "arxiv",
    "version": 1
  }
}