Pith Number

pith:EJ4MSLOM

pith:2018:EJ4MSLOMXYRJUJII4HCLPOBYH6

not attested not anchored not stored refs pending

A second-order asymptotic-preserving and positivity-preserving exponential Runge-Kutta method for a class of stiff kinetic equations

Jingwei Hu, Ruiwen Shu

arxiv:1807.03728 v2 · 2018-07-10 · 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{EJ4MSLOMXYRJUJII4HCLPOBYH6}

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	2026-05-17T23:58:19.128872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2278c92dccbe229a2508e1c4b7b8383faea68e3928312c8943545cc66ec66d0f

Aliases

arxiv: 1807.03728 · arxiv_version: 1807.03728v2 · doi: 10.48550/arxiv.1807.03728 · pith_short_12: EJ4MSLOMXYRJ · pith_short_16: EJ4MSLOMXYRJUJII · pith_short_8: EJ4MSLOM

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/EJ4MSLOMXYRJUJII4HCLPOBYH6 \
  | 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: 2278c92dccbe229a2508e1c4b7b8383faea68e3928312c8943545cc66ec66d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c4c0c7c0eca5c6d6146337508a5d542f2ea1370d556e5977193bd1f4155593",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-07-10T16:00:38Z",
    "title_canon_sha256": "f7e9bf8723987493bb44adf03c1ca1071c1b763ab78de072e4ea0f8de2a157ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03728",
    "kind": "arxiv",
    "version": 2
  }
}