Pith Number

pith:3JGIZ6CU

pith:2013:3JGIZ6CUEVMQ6LZLFCSAAYZOBZ

not attested not anchored not stored refs pending

Explicit exponential Runge-Kutta methods of high order for parabolic problems

Alexander Ostermann, Vu Thai Luan

arxiv:1307.0661 v1 · 2013-07-02 · math.CA · 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{3JGIZ6CUEVMQ6LZLFCSAAYZOBZ}

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	2026-05-18T01:12:20.149611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4c8cf85425590f2f2b28a400632e0e6e49c7c49315aee30b30e1255acde263

Aliases

arxiv: 1307.0661 · arxiv_version: 1307.0661v1 · doi: 10.48550/arxiv.1307.0661 · pith_short_12: 3JGIZ6CUEVMQ · pith_short_16: 3JGIZ6CUEVMQ6LZL · pith_short_8: 3JGIZ6CU

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/3JGIZ6CUEVMQ6LZLFCSAAYZOBZ \
  | 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: da4c8cf85425590f2f2b28a400632e0e6e49c7c49315aee30b30e1255acde263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4559ea1f97fff15e51c1ccb3e61587004056c706c81a22282be5cd1e5cc29ab",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-02T10:16:47Z",
    "title_canon_sha256": "1741437a14039da3cd48bd3bef8ad1bf15a23d2d5e6aa9fde916b20af3e09365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0661",
    "kind": "arxiv",
    "version": 1
  }
}