Pith Number

pith:KLNUW2FO

pith:2025:KLNUW2FOM3E56OWVAGLRMEBEK7

not attested not anchored not stored refs pending

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

Francesco Colasanto, Matteo Focardi, Roberto Alessi

arxiv:2507.22072 v1 · 2025-07-17 · math.AP · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLNUW2FOM3E56OWVAGLRMEBEK7}

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	2026-07-05T11:45:15.903526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52db4b68ae66c9df3ad5019716102457e63b6e5c40de0b6fb78ab23a8677c985

Aliases

arxiv: 2507.22072 · arxiv_version: 2507.22072v1 · doi: 10.48550/arxiv.2507.22072 · pith_short_12: KLNUW2FOM3E5 · pith_short_16: KLNUW2FOM3E56OWV · pith_short_8: KLNUW2FO

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/KLNUW2FOM3E56OWVAGLRMEBEK7 \
  | 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: 52db4b68ae66c9df3ad5019716102457e63b6e5c40de0b6fb78ab23a8677c985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5772db390fa9a3641a926fb1b45c11df2ec310794027da5eb723215e3bfb28f",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-17T14:34:43Z",
    "title_canon_sha256": "0821984ad2b3a168a565f21fc58ea349fcc111f2d22c542d3c84e98c71155171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22072",
    "kind": "arxiv",
    "version": 1
  }
}