Pith Number

pith:ARBFFBDN

pith:2025:ARBFFBDNZ3KZRZMIP7D7AYFO5L

not attested not anchored not stored refs pending

Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrators

Alexander Ostermann, Gangfan Zhong, Qiumei Huang

arxiv:2506.02778 v1 · 2025-06-03 · 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{ARBFFBDNZ3KZRZMIP7D7AYFO5L}

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	2026-06-23T01:11:55.812041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

044252846dced598e5887fc7f060aeeacf33ed3a41504a20f8591c69b93c66ba

Aliases

arxiv: 2506.02778 · arxiv_version: 2506.02778v1 · doi: 10.48550/arxiv.2506.02778 · pith_short_12: ARBFFBDNZ3KZ · pith_short_16: ARBFFBDNZ3KZRZMI · pith_short_8: ARBFFBDN

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/ARBFFBDNZ3KZRZMIP7D7AYFO5L \
  | 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: 044252846dced598e5887fc7f060aeeacf33ed3a41504a20f8591c69b93c66ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "772e8b2d8eecc207dff45034a1cbda0484a520290353a730b4a4b2639a58fce7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-03T11:57:21Z",
    "title_canon_sha256": "846e092ba13d56aa66117c6ee2c177f8e41f2fdba61e11646c2116dab78e410a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02778",
    "kind": "arxiv",
    "version": 1
  }
}