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Pith Number

pith:BWI4VBGM

pith:2010:BWI4VBGMDIOWEHBT4FDFQJYDTY
not attested not anchored not stored refs pending

Phase field modeling of crack propagation

A. Karma, E. Brener, R. Spatschek

arxiv:1001.4350 v1 · 2010-01-25 · cond-mat.mtrl-sci

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BWI4VBGMDIOWEHBT4FDFQJYDTY}

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 2026-05-18T02:09:30.444852Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0d91ca84cc1a1d621c33e1465827039e3b1cbc044cdfbbe147406323b2d9ea8d

Aliases

arxiv: 1001.4350 · arxiv_version: 1001.4350v1 · doi: 10.48550/arxiv.1001.4350 · pith_short_12: BWI4VBGMDIOW · pith_short_16: BWI4VBGMDIOWEHBT · pith_short_8: BWI4VBGM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BWI4VBGMDIOWEHBT4FDFQJYDTY \
  | 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: 0d91ca84cc1a1d621c33e1465827039e3b1cbc044cdfbbe147406323b2d9ea8d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6d2083e9d8fb5f9682ee78eeaaed9204acd7f1d93f6c48e70585c55591f174c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2010-01-25T09:20:46Z",
    "title_canon_sha256": "073abfd72725e3ba53720760eb6578a1100dfafa20c35db96af345e1fc793842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4350",
    "kind": "arxiv",
    "version": 1
  }
}