Pith Number

pith:U3BZTNBB

pith:2019:U3BZTNBBP5LZGYPY2JO4G5VH5Z

not attested not anchored not stored refs pending

An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters

Florin Adrian Radu, Inga Berre, Jan Martin Nordbotten, Mats Kirkes{\ae}ther Brun, Thomas Wick

arxiv:1903.08717 v1 · 2019-03-20 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3BZTNBBP5LZGYPY2JO4G5VH5Z}

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	2026-06-04T20:14:15.821648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6c399b4217f579361f8d25dc376a7ee4681416ad0860d4844d4eebe3f722b9d

Aliases

arxiv: 1903.08717 · arxiv_version: 1903.08717v1 · doi: 10.48550/arxiv.1903.08717 · pith_short_12: U3BZTNBBP5LZ · pith_short_16: U3BZTNBBP5LZGYPY · pith_short_8: U3BZTNBB

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/U3BZTNBBP5LZGYPY2JO4G5VH5Z \
  | 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: a6c399b4217f579361f8d25dc376a7ee4681416ad0860d4844d4eebe3f722b9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34dba44e48cd1104798f67a986f9e92033649e5fbe2b389d9653df3c0c0a594",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-20T20:06:06Z",
    "title_canon_sha256": "e960a4f8affa9ca146c67c73f089c01e5941d050f862fe810830e34e2d6f0bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08717",
    "kind": "arxiv",
    "version": 1
  }
}