Pith Number

pith:WPBJHZWI

pith:2018:WPBJHZWIUHGEJCTDOALTZH67V7

not attested not anchored not stored refs pending

Many odd zeta values are irrational

Johannes Sprang, St\'ephane Fischler, Wadim Zudilin

arxiv:1803.08905 v2 · 2018-03-23 · math.NT · math.AG · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPBJHZWIUHGEJCTDOALTZH67V7}

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	2026-05-17T23:47:21.105439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c293e6c8a1cc448a6370173c9fdfafc9626ad775ccdb2b1938c58bf696cbf8

Aliases

arxiv: 1803.08905 · arxiv_version: 1803.08905v2 · doi: 10.48550/arxiv.1803.08905 · pith_short_12: WPBJHZWIUHGE · pith_short_16: WPBJHZWIUHGEJCTD · pith_short_8: WPBJHZWI

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/WPBJHZWIUHGEJCTDOALTZH67V7 \
  | 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: b3c293e6c8a1cc448a6370173c9fdfafc9626ad775ccdb2b1938c58bf696cbf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269f13f02c8c8e92c7fe50b22fbcb87fddada58babc107af261d206fa03edb44",
    "cross_cats_sorted": [
      "math.AG",
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-23T17:34:30Z",
    "title_canon_sha256": "75b3797130b7279d86cce1fd9dd9c206c0caf51c23197d072ab30a9c36b1b8a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08905",
    "kind": "arxiv",
    "version": 2
  }
}