Pith Number

pith:52WW7YXE

pith:2014:52WW7YXEVA2U6JAMY27IWJP3P7

not attested not anchored not stored refs pending

Generalization of Lambert $W$ function, Bessel polynomials and transcendental equations

Giorgio Mugnaini

arxiv:1501.00138 v3 · 2014-12-31 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52WW7YXEVA2U6JAMY27IWJP3P7}

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	2026-05-18T02:17:51.462938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eead6fe2e4a8354f240cc6be8b25fb7ff5a2b614a62f19c9b8b4e2d8a8d06054

Aliases

arxiv: 1501.00138 · arxiv_version: 1501.00138v3 · doi: 10.48550/arxiv.1501.00138 · pith_short_12: 52WW7YXEVA2U · pith_short_16: 52WW7YXEVA2U6JAM · pith_short_8: 52WW7YXE

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/52WW7YXEVA2U6JAMY27IWJP3P7 \
  | 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: eead6fe2e4a8354f240cc6be8b25fb7ff5a2b614a62f19c9b8b4e2d8a8d06054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d5eaf2a583ecb5577c5ad5da5cddf29708a30139ba9ae1eb2633bd143b452a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-31T14:06:54Z",
    "title_canon_sha256": "f575e3e555c8300b72f69b43c850b1b462edf897eb772d02be6b77aca5d5e1bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00138",
    "kind": "arxiv",
    "version": 3
  }
}