Pith Number

pith:QYAXL646

pith:2024:QYAXL646NYKWVGPJ5LIQF4MKSX

not attested not anchored not stored refs pending

Classical variational phase-field models cannot predict fracture nucleation

Christopher J. Larsen, Gilles A. Francfort, John E. Dolbow, Oscar Lopez-Pamies

arxiv:2409.00242 v1 · 2024-08-30 · cond-mat.mtrl-sci · math-ph · math.MP

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\usepackage{pith}
\pithnumber{QYAXL646NYKWVGPJ5LIQF4MKSX}

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Record completeness

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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.

Cited by

1 paper in Pith

Phase-field modelling of cohesive fracture. Part III: From mathematical results to engineering application

Receipt and verification

First computed	2026-07-05T09:01:44.316882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860175fb9e6e156a99e9ead102f18a95fff9fb0899ab8dff5f0d64c147a3200c

Aliases

arxiv: 2409.00242 · arxiv_version: 2409.00242v1 · doi: 10.48550/arxiv.2409.00242 · pith_short_12: QYAXL646NYKW · pith_short_16: QYAXL646NYKWVGPJ · pith_short_8: QYAXL646

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/QYAXL646NYKWVGPJ5LIQF4MKSX \
  | 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: 860175fb9e6e156a99e9ead102f18a95fff9fb0899ab8dff5f0d64c147a3200c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c63df4814cc050d830bac57d8c4817b7e13ef75a471881d4ac632378823f0d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2024-08-30T20:26:11Z",
    "title_canon_sha256": "efdbcdc668bb103de9cec52984a05bbb4b69382b11c06c9e9107a9f096bf7531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.00242",
    "kind": "arxiv",
    "version": 1
  }
}