Pith Number

pith:OKCIGKFL

pith:2022:OKCIGKFLMRDPYPEIYJNUZRY324

not attested not anchored not stored refs pending

Nonlinear Field-split Preconditioners for Solving Monolithic Phase-field Models of Brittle Fracture

Alena Kopani\v{c}\'akov\'a, Hardik Kothari, Rolf Krause

arxiv:2203.13738 v2 · 2022-03-25 · 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{OKCIGKFLMRDPYPEIYJNUZRY324}

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	2026-07-05T05:16:33.633342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72848328ab6446fc3c88c25b4cc71bd70fb18a272aebcc86b8a9c4e37c601090

Aliases

arxiv: 2203.13738 · arxiv_version: 2203.13738v2 · doi: 10.48550/arxiv.2203.13738 · pith_short_12: OKCIGKFLMRDP · pith_short_16: OKCIGKFLMRDPYPEI · pith_short_8: OKCIGKFL

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/OKCIGKFLMRDPYPEIYJNUZRY324 \
  | 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: 72848328ab6446fc3c88c25b4cc71bd70fb18a272aebcc86b8a9c4e37c601090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a31469303c5c773ad7cbf09b9e3e48756a54847d7d7119ad691f084ecb935d37",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-03-25T16:12:06Z",
    "title_canon_sha256": "46cc935a321df6be8ba9e9b00e0dba0814a6e399551cb27c9879737c5490ee2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.13738",
    "kind": "arxiv",
    "version": 2
  }
}