Pith Number

pith:SH5MUJTB

pith:2013:SH5MUJTBFDFNO6JNFL6TPYRWKO

not attested not anchored not stored refs pending

Practical Implementation of High-Order Multiple Precision Fully Implicit Runge-Kutta Methods with Step Size Control Using Embedded Formula

Tomonori Kouya

arxiv:1306.2392 v1 · 2013-06-11 · 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{SH5MUJTBFDFNO6JNFL6TPYRWKO}

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	2026-05-18T03:20:47.416167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91faca266128cad7792d2afd37e2365388690531882422c31f8ab6721cd0f08a

Aliases

arxiv: 1306.2392 · arxiv_version: 1306.2392v1 · doi: 10.48550/arxiv.1306.2392 · pith_short_12: SH5MUJTBFDFN · pith_short_16: SH5MUJTBFDFNO6JN · pith_short_8: SH5MUJTB

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/SH5MUJTBFDFNO6JNFL6TPYRWKO \
  | 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: 91faca266128cad7792d2afd37e2365388690531882422c31f8ab6721cd0f08a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6be866c7334cd95edc002d91d97f53ad1f658700cf9886883a4aa042fa6213",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-06-11T00:55:57Z",
    "title_canon_sha256": "bf78672611cf26ac1eb0e9064bcfed7bd77115005a90533da10736a69da0fb88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2392",
    "kind": "arxiv",
    "version": 1
  }
}