Pith Number

pith:P5HXJCLA

pith:2013:P5HXJCLAZOJE55OUFOOK4SV5YS

not attested not anchored not stored refs pending

Families of efficient second order Runge-Kutta methods for the weak approximation of It\^o stochastic differential equations

Andreas R\"o{\ss}ler, Kristian Debrabant

arxiv:1303.5103 v1 · 2013-03-20 · 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{P5HXJCLAZOJE55OUFOOK4SV5YS}

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	2026-05-18T03:30:14.571739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f4f748960cb924ef5d42b9cae4abdc49f624464c49f9ccdc5be7e99425c3518

Aliases

arxiv: 1303.5103 · arxiv_version: 1303.5103v1 · doi: 10.48550/arxiv.1303.5103 · pith_short_12: P5HXJCLAZOJE · pith_short_16: P5HXJCLAZOJE55OU · pith_short_8: P5HXJCLA

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/P5HXJCLAZOJE55OUFOOK4SV5YS \
  | 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: 7f4f748960cb924ef5d42b9cae4abdc49f624464c49f9ccdc5be7e99425c3518

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b95f92bab90312efcf969d2fb2c713f9e7ebaad0764dfd6f05141ff5f006a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-03-20T21:40:30Z",
    "title_canon_sha256": "75fb4e741caa79a5ebe1e8f8034430477a92f5c0251ff469e5da35161bc6de59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5103",
    "kind": "arxiv",
    "version": 1
  }
}