Pith Number

pith:4WZ2BJUN

pith:2017:4WZ2BJUNIVF7GE35KEVXN5ZCD5

not attested not anchored not stored refs pending

Fourth-order time-stepping for stiff PDEs on the sphere

Hadrien Montanelli, Yuji Nakatsukasa

arxiv:1701.06030 v4 · 2017-01-21 · 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{4WZ2BJUNIVF7GE35KEVXN5ZCD5}

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	2026-05-18T00:27:21.820036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b3a0a68d454bf3137d512b76f7221f5ae82d70a2f6b13698d04dbedc48346a

Aliases

arxiv: 1701.06030 · arxiv_version: 1701.06030v4 · doi: 10.48550/arxiv.1701.06030 · pith_short_12: 4WZ2BJUNIVF7 · pith_short_16: 4WZ2BJUNIVF7GE35 · pith_short_8: 4WZ2BJUN

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/4WZ2BJUNIVF7GE35KEVXN5ZCD5 \
  | 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: e5b3a0a68d454bf3137d512b76f7221f5ae82d70a2f6b13698d04dbedc48346a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7fe9b382a8c908dc84f2eb1e4140445cd2f17800bb05cd532a6cb47deb7e901",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-01-21T14:10:14Z",
    "title_canon_sha256": "c0bb001d167350f52e71e3f02324404802bb806171ec449bc1afa787816bbfb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06030",
    "kind": "arxiv",
    "version": 4
  }
}