Pith Number

pith:UAWOLJ3E

pith:2022:UAWOLJ3ECJTPC4TYOFM2NMVNR6

not attested not anchored not stored refs pending

Two new classes of exponential Runge-Kutta integrators for efficiently solving stiff systems or highly oscillatory problems

Bin Wang, Xianfa Hu, Xinyuan Wu

arxiv:2210.00685 v2 · 2022-10-03 · 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{UAWOLJ3ECJTPC4TYOFM2NMVNR6}

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	2026-07-05T07:20:06.224029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a02ce5a7641266f172787159a6b2ad8f904ca4f94bce14b710ac168bd9194225

Aliases

arxiv: 2210.00685 · arxiv_version: 2210.00685v2 · doi: 10.48550/arxiv.2210.00685 · pith_short_12: UAWOLJ3ECJTP · pith_short_16: UAWOLJ3ECJTPC4TY · pith_short_8: UAWOLJ3E

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/UAWOLJ3ECJTPC4TYOFM2NMVNR6 \
  | 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: a02ce5a7641266f172787159a6b2ad8f904ca4f94bce14b710ac168bd9194225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68bed67a88d3bbdb253de27732662a5a5dbbd90c477ce54685809774067a1a43",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-10-03T02:28:01Z",
    "title_canon_sha256": "ead8b896e7a27c59196df57a23cb029a222eef531f575be32328985b99317034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.00685",
    "kind": "arxiv",
    "version": 2
  }
}