Pith Number

pith:3F5NSBFE

pith:2026:3F5NSBFEQ5I2LMKDKA6M3BIJRL

not attested not anchored not stored refs pending

Strength-degradation phase-field regularization of cohesive fracture: the antiplane case

Blaise Bourdin, Corrado Maurini

arxiv:2607.29157 v1 · 2026-07-31 · cond-mat.mtrl-sci · math-ph · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3F5NSBFEQ5I2LMKDKA6M3BIJRL}

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	2026-08-03T01:20:26.719437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97ad904a48751a5b143503ccd85098ae195a84b9c85bf6990f024e2fd86a32d

Aliases

arxiv: 2607.29157 · arxiv_version: 2607.29157v1 · doi: 10.48550/arxiv.2607.29157 · pith_short_12: 3F5NSBFEQ5I2 · pith_short_16: 3F5NSBFEQ5I2LMKD · pith_short_8: 3F5NSBFE

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/3F5NSBFEQ5I2LMKDKA6M3BIJRL \
  | 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: d97ad904a48751a5b143503ccd85098ae195a84b9c85bf6990f024e2fd86a32d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "053c6a5b8357e02159a54115e2d4ba310cbbe9761904136ae6123e70d2d2a602",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-07-31T08:37:56Z",
    "title_canon_sha256": "e0aa576b6b2da4a540b74fa8d66c8254b630646513e2bfbf305833e068c60e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29157",
    "kind": "arxiv",
    "version": 1
  }
}