Pith Number

pith:LOZHJNDE

pith:2017:LOZHJNDEKZ4VKTBU5M5SGNJFJR

not attested not anchored not stored refs pending

Error analysis of randomized Runge-Kutta methods for differential equations with time-irregular coefficients

Raphael Kruse, Yue Wu

arxiv:1701.03444 v2 · 2017-01-12 · 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{LOZHJNDEKZ4VKTBU5M5SGNJFJR}

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	2026-05-18T00:40:28.648072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bb274b4645679554c34eb3b2335254c671f39ced294b955fc109ffe5dd6377b

Aliases

arxiv: 1701.03444 · arxiv_version: 1701.03444v2 · doi: 10.48550/arxiv.1701.03444 · pith_short_12: LOZHJNDEKZ4V · pith_short_16: LOZHJNDEKZ4VKTBU · pith_short_8: LOZHJNDE

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/LOZHJNDEKZ4VKTBU5M5SGNJFJR \
  | 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: 5bb274b4645679554c34eb3b2335254c671f39ced294b955fc109ffe5dd6377b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f0ae6a80b37e2d886fe4c0cf7284045b2ddd3792116358d9045655f468b672b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-01-12T18:27:20Z",
    "title_canon_sha256": "34a0f30ec2e69a30f14046a82941e69f6f03e09c2aab7ada3bc4f61373bc15c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03444",
    "kind": "arxiv",
    "version": 2
  }
}