Pith Number

pith:JW5J32EE

pith:2010:JW5J32EE3R52XNOQPQ2PJWZE5Y

not attested not anchored not stored refs pending

Having Fun with Lambert W(x) Function

Darko Veberic

arxiv:1003.1628 v2 · 2010-03-08 · cs.MS · 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{JW5J32EE3R52XNOQPQ2PJWZE5Y}

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	2026-05-18T00:26:40.573884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dba9de884dc7babb5d07c34f4db24ee221b8390edb755c382d909bbcb717599

Aliases

arxiv: 1003.1628 · arxiv_version: 1003.1628v2 · doi: 10.48550/arxiv.1003.1628 · pith_short_12: JW5J32EE3R52 · pith_short_16: JW5J32EE3R52XNOQ · pith_short_8: JW5J32EE

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/JW5J32EE3R52XNOQPQ2PJWZE5Y \
  | 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: 4dba9de884dc7babb5d07c34f4db24ee221b8390edb755c382d909bbcb717599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8443a70f9b147cab136ad5882c69cfe5caaa5b4eee54a087d76beefad31f42bd",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2010-03-08T13:47:25Z",
    "title_canon_sha256": "232be71d414e93f9846ae07a29a8105687d9334be746f58b54be2663e7c24b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1628",
    "kind": "arxiv",
    "version": 2
  }
}