Pith Number

pith:2SKWCTGQ

pith:2008:2SKWCTGQMX22H4G6LIZ7OTSDLD

not attested not anchored not stored refs pending

Irrationality proof of a $q$-extension of $\zeta(2)$ using little $q$-Jacobi polynomials

Christophe Smet, Walter Van Assche

arxiv:0809.2501 v3 · 2008-09-15 · math.CA · 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{2SKWCTGQMX22H4G6LIZ7OTSDLD}

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	2026-05-18T02:15:34.620780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d495614cd065f5a3f0de5a33f74e4358c930e1077ab3c35f43c1c1c4a473ceeb

Aliases

arxiv: 0809.2501 · arxiv_version: 0809.2501v3 · doi: 10.48550/arxiv.0809.2501 · pith_short_12: 2SKWCTGQMX22 · pith_short_16: 2SKWCTGQMX22H4G6 · pith_short_8: 2SKWCTGQ

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/2SKWCTGQMX22H4G6LIZ7OTSDLD \
  | 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: d495614cd065f5a3f0de5a33f74e4358c930e1077ab3c35f43c1c1c4a473ceeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e066727034cba4bb6fb6c930a09efe154a17377f747084ffc3f3761ddb3eee",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-09-15T12:14:36Z",
    "title_canon_sha256": "7f4dfeefb9c6b570a78c7c89a0264fcbc7429e55823961e5f5c62bcd3b4dea77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2501",
    "kind": "arxiv",
    "version": 3
  }
}