Pith Number

pith:C7EKCD7X

pith:2013:C7EKCD7XO46DIYTZBWQJ4SIPOO

not attested not anchored not stored refs pending

The Lambert W Function, Laguerre Polynomials, and the Zeros of the QCD Partition Function

Ken Roberts, S. R. Valluri

arxiv:1307.1017 v2 · 2013-07-03 · hep-lat · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7EKCD7XO46DIYTZBWQJ4SIPOO}

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	2026-05-18T02:39:16.787289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17c8a10ff7773c3462790da09e490f7391ba0f3d45ef0fcd8732487bb45dde75

Aliases

arxiv: 1307.1017 · arxiv_version: 1307.1017v2 · doi: 10.48550/arxiv.1307.1017 · pith_short_12: C7EKCD7XO46D · pith_short_16: C7EKCD7XO46DIYTZ · pith_short_8: C7EKCD7X

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/C7EKCD7XO46DIYTZBWQJ4SIPOO \
  | 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: 17c8a10ff7773c3462790da09e490f7391ba0f3d45ef0fcd8732487bb45dde75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ee70993856cd3ebdff46cb8c92707ca5aa0cbacf6566718eb0acfc807bf516f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2013-07-03T14:01:45Z",
    "title_canon_sha256": "b012943d15e755e4a81410bc34f8a0f21552a8c8dc3ddc55a4e817738b6d69ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1017",
    "kind": "arxiv",
    "version": 2
  }
}