Pith Number

pith:XE7GWKHK

pith:2011:XE7GWKHKXFOBAKXXVFWQQJJVKC

not attested not anchored not stored refs pending

Stieltjes, Poisson and other integral representations for functions of Lambert $W$

David J. Jeffrey, German A. Kalugin, Robert M. Corless

arxiv:1103.5640 v1 · 2011-03-27 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XE7GWKHKXFOBAKXXVFWQQJJVKC}

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	2026-05-18T04:25:37.197542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b93e6b28eab95c102af7a96d082535508275caaa49928b99eb50e426d47af8e7

Aliases

arxiv: 1103.5640 · arxiv_version: 1103.5640v1 · doi: 10.48550/arxiv.1103.5640 · pith_short_12: XE7GWKHKXFOB · pith_short_16: XE7GWKHKXFOBAKXX · pith_short_8: XE7GWKHK

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/XE7GWKHKXFOBAKXXVFWQQJJVKC \
  | 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: b93e6b28eab95c102af7a96d082535508275caaa49928b99eb50e426d47af8e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc972e6bca6be9da018c76478a41381d6c3cafe211c1633257adc89a0e8ea603",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-03-27T12:10:59Z",
    "title_canon_sha256": "ccb45379109b168317d111c858754cc3f2682691c8141461d01497c91bfc151c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5640",
    "kind": "arxiv",
    "version": 1
  }
}