Pith Number

pith:HVOXT5VJ

pith:2001:HVOXT5VJ6A7TDXG6VEWOLFJDKS

not attested not anchored not stored refs pending

Irrationalite d'au moins un des neuf nombres zeta(5),zeta(7),...,zeta(21)

Tanguy Rivoal

arxiv:math/0104221 v2 · 2001-04-24 · 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{HVOXT5VJ6A7TDXG6VEWOLFJDKS}

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	2026-05-18T01:38:29.971963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d5d79f6a9f03f31dcdea92ce5952354b0645e51913aa685cba9fb534199a163

Aliases

arxiv: math/0104221 · arxiv_version: math/0104221v2 · doi: 10.48550/arxiv.math/0104221 · pith_short_12: HVOXT5VJ6A7T · pith_short_16: HVOXT5VJ6A7TDXG6 · pith_short_8: HVOXT5VJ

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/HVOXT5VJ6A7TDXG6VEWOLFJDKS \
  | 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: 3d5d79f6a9f03f31dcdea92ce5952354b0645e51913aa685cba9fb534199a163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b535937914f5230409798510bd63c160f897aa4f971bbb5e28b0aed5ff038c6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2001-04-24T11:34:48Z",
    "title_canon_sha256": "8d4d0ec1f73fae8d96c412f3581784faa028af8a2dd280eba9a7da127d87c152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104221",
    "kind": "arxiv",
    "version": 2
  }
}