Pith Number

pith:4UPO62T3

pith:2001:4UPO62T36T7QX24FTLTTRXZWP5

not attested not anchored not stored refs pending

Irrationality of values of zeta-function

Wadim Zudilin

arxiv:math/0104249 v1 · 2001-04-26 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UPO62T36T7QX24FTLTTRXZWP5}

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	2026-05-18T01:38:29.966058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e51eef6a7bf4ff0beb859ae738df367f53bdb8bd28166a529ff18896a8e1348f

Aliases

arxiv: math/0104249 · arxiv_version: math/0104249v1 · doi: 10.48550/arxiv.math/0104249 · pith_short_12: 4UPO62T36T7Q · pith_short_16: 4UPO62T36T7QX24F · pith_short_8: 4UPO62T3

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/4UPO62T36T7QX24FTLTTRXZWP5 \
  | 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: e51eef6a7bf4ff0beb859ae738df367f53bdb8bd28166a529ff18896a8e1348f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c822de40833125db9c4f84d8f71aa8860409e77652ff4b6be9188d205d6c9d5e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2001-04-26T06:50:43Z",
    "title_canon_sha256": "cda398a4036bbaa28bc6a064f634dd9b54da1f6a7147054c384a31a321a4d26f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104249",
    "kind": "arxiv",
    "version": 1
  }
}