Pith Number

pith:FR7E6EOK

pith:2003:FR7E6EOKQRDPVAGXZ3UHR5AZYR

not attested not anchored not stored refs pending

Irrationalit\'e de valeurs de z\^eta (d'apr\`es Ap\'ery, Rivoal, ...)

St\'ephane Fischler

arxiv:math/0303066 v1 · 2003-03-05 · math.NT · 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{FR7E6EOKQRDPVAGXZ3UHR5AZYR}

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	2026-05-18T04:02:36.594167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c7e4f11ca8446fa80d7cee878f419c45dfa09fae7b70e34cc6705de1a51e62f

Aliases

arxiv: math/0303066 · arxiv_version: math/0303066v1 · doi: 10.48550/arxiv.math/0303066 · pith_short_12: FR7E6EOKQRDP · pith_short_16: FR7E6EOKQRDPVAGX · pith_short_8: FR7E6EOK

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/FR7E6EOKQRDPVAGXZ3UHR5AZYR \
  | 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: 2c7e4f11ca8446fa80d7cee878f419c45dfa09fae7b70e34cc6705de1a51e62f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b31962968652e8133cb352efaea8723e0ed5b3cdea2118ffc80c6ab41b7e83be",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-03-05T18:22:56Z",
    "title_canon_sha256": "e22bb08c9606e34d9307a1f3b32afa5fe0051c1b23af7f442a3c02fcc1d655dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303066",
    "kind": "arxiv",
    "version": 1
  }
}