Pith Number

pith:TMGPYNNA

pith:2016:TMGPYNNARPUDFAH3C54XSI7VEU

not attested not anchored not stored refs pending

Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches

Mary F. Wheeler, Sanghyun Lee, Thomas Wick

arxiv:1610.07120 v1 · 2016-10-23 · math.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{TMGPYNNARPUDFAH3C54XSI7VEU}

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	2026-05-18T00:35:55.520026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0cfc35a08be83280fb17797923f5250f35621e900e89eb6f78d1d1b7897ff6

Aliases

arxiv: 1610.07120 · arxiv_version: 1610.07120v1 · doi: 10.48550/arxiv.1610.07120 · pith_short_12: TMGPYNNARPUD · pith_short_16: TMGPYNNARPUDFAH3 · pith_short_8: TMGPYNNA

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/TMGPYNNARPUDFAH3C54XSI7VEU \
  | 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: 9b0cfc35a08be83280fb17797923f5250f35621e900e89eb6f78d1d1b7897ff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b821e7cd5a4804d0b315e718b68ebceede9798930bc26f124105eadf91f9940",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-23T03:38:02Z",
    "title_canon_sha256": "8d1dc337bcbfb55ab0702d138fd2942d335ae32448e737070de32710a9a121ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07120",
    "kind": "arxiv",
    "version": 1
  }
}