Pith Number

pith:25YXRLCI

pith:2017:25YXRLCIWOEDEXT2LD3KIVOQ7R

not attested not anchored not stored refs pending

Computing the Lambert W function in arbitrary-precision complex interval arithmetic

Fredrik Johansson

arxiv:1705.03266 v1 · 2017-05-09 · cs.MS · cs.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{25YXRLCIWOEDEXT2LD3KIVOQ7R}

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	2026-05-18T00:44:48.432801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d77178ac48b388325e7a58f6a455d0fc4ee559b353de036e134a8674febdde07

Aliases

arxiv: 1705.03266 · arxiv_version: 1705.03266v1 · doi: 10.48550/arxiv.1705.03266 · pith_short_12: 25YXRLCIWOED · pith_short_16: 25YXRLCIWOEDEXT2 · pith_short_8: 25YXRLCI

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/25YXRLCIWOEDEXT2LD3KIVOQ7R \
  | 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: d77178ac48b388325e7a58f6a455d0fc4ee559b353de036e134a8674febdde07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caf24464becbc2b4a9e0e1107cbb7e37c154885fa58a54bb0fdb9692241dd4ab",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2017-05-09T10:45:42Z",
    "title_canon_sha256": "cad58b4211c7eef33b7cf9da9eb3e104a8c624d4c4ce251bc8e0d3b705b3e1d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03266",
    "kind": "arxiv",
    "version": 1
  }
}