Pith Number

pith:EQW23DZV

pith:2004:EQW23DZV4NSGGJMHOKRIHJRDS7

not attested not anchored not stored refs pending

q-Analogues of the Riemann zeta, the Dirichlet L-functions, and a crystal zeta function

Kenichi Kawagoe, Masato Wakayama, Yoshinori Yamasaki

arxiv:math/0402135 v3 · 2004-02-09 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQW23DZV4NSGGJMHOKRIHJRDS7}

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	2026-05-18T03:39:03.933569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

242dad8f35e36463258772a283a62397f1e9c350390db345270f5a669db30fc4

Aliases

arxiv: math/0402135 · arxiv_version: math/0402135v3 · doi: 10.48550/arxiv.math/0402135 · pith_short_12: EQW23DZV4NSG · pith_short_16: EQW23DZV4NSGGJMH · pith_short_8: EQW23DZV

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/EQW23DZV4NSGGJMHOKRIHJRDS7 \
  | 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: 242dad8f35e36463258772a283a62397f1e9c350390db345270f5a669db30fc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a4461741e2b72614a7a8e59be7424f040c4a02712426c8ffef227d58a9933e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-02-09T07:18:17Z",
    "title_canon_sha256": "5e8f5309c7351e1da3372f671b6a434a85ee2fcea2d0b27a74ab01d371962faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402135",
    "kind": "arxiv",
    "version": 3
  }
}