Pith Number

pith:FWJ4JBNK

pith:2013:FWJ4JBNKYL2YZAM3Z3IUVWRN7B

not attested not anchored not stored refs pending

Multirate generalized additive Runge Kutta methods

Adrian Sandu, Michael Guenther

arxiv:1310.6055 v1 · 2013-10-22 · cs.NA · 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{FWJ4JBNKYL2YZAM3Z3IUVWRN7B}

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	2026-05-18T03:09:21.601716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d93c485aac2f58c819bced14ada2df8473340297ae3c708c6e3e47b87f616f5

Aliases

arxiv: 1310.6055 · arxiv_version: 1310.6055v1 · doi: 10.48550/arxiv.1310.6055 · pith_short_12: FWJ4JBNKYL2Y · pith_short_16: FWJ4JBNKYL2YZAM3 · pith_short_8: FWJ4JBNK

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/FWJ4JBNKYL2YZAM3Z3IUVWRN7B \
  | 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: 2d93c485aac2f58c819bced14ada2df8473340297ae3c708c6e3e47b87f616f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89fce4609899029dd915e42b993dbec1d49715bc7338a482a4e3da1194d651ba",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2013-10-22T20:49:26Z",
    "title_canon_sha256": "b2512c796c0db3bd77fd7e982001db4f8fcb91956bc01b47e02bf5cb6ee1ec1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6055",
    "kind": "arxiv",
    "version": 1
  }
}