Pith Number

pith:LBRKHAPG

pith:2026:LBRKHAPGCEG7ZJDIUGRRQLA5PW

not attested not anchored not stored refs pending

Endowing variational phase-field fracture models with custom strength criteria

Jacinto Ulloa, Matteo Brunetti, Roberto Alessi, Roshan Udaram Patil

arxiv:2606.06169 v1 · 2026-06-04 · cond-mat.mtrl-sci · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBRKHAPGCEG7ZJDIUGRRQLA5PW}

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	2026-06-05T01:15:36.095308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5862a381e6110dfca468a1a3182c1d7daafacf166cc5e8ec93e001c8f2384fb1

Aliases

arxiv: 2606.06169 · arxiv_version: 2606.06169v1 · doi: 10.48550/arxiv.2606.06169 · pith_short_12: LBRKHAPGCEG7 · pith_short_16: LBRKHAPGCEG7ZJDI · pith_short_8: LBRKHAPG

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/LBRKHAPGCEG7ZJDIUGRRQLA5PW \
  | 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: 5862a381e6110dfca468a1a3182c1d7daafacf166cc5e8ec93e001c8f2384fb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2de818656a625859424d6517cbee599e53f2a4b42431ce5eb9e8a855b73457",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-06-04T13:41:01Z",
    "title_canon_sha256": "512fee65f4d2ce25bc831df887cb62d91a5f938e1d5da5dcdebf1bf3c89a1dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06169",
    "kind": "arxiv",
    "version": 1
  }
}