Pith Number

pith:S3C2CMEE

pith:2018:S3C2CMEEJLEQVL6HFPZKJCF4E6

not attested not anchored not stored refs pending

One of the Odd Zeta Values from $\zeta(5)$ to $\zeta(25)$ Is Irrational. By Elementary Means

Wadim Zudilin

arxiv:1801.09895 v2 · 2018-01-30 · 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{S3C2CMEEJLEQVL6HFPZKJCF4E6}

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	2026-05-18T00:19:53.110567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96c5a130844ac90aafc72bf2a488bc27afb7f42a869c537ce548f157410fc044

Aliases

arxiv: 1801.09895 · arxiv_version: 1801.09895v2 · doi: 10.48550/arxiv.1801.09895 · pith_short_12: S3C2CMEEJLEQ · pith_short_16: S3C2CMEEJLEQVL6H · pith_short_8: S3C2CMEE

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/S3C2CMEEJLEQVL6HFPZKJCF4E6 \
  | 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: 96c5a130844ac90aafc72bf2a488bc27afb7f42a869c537ce548f157410fc044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f4b7cd6375895d3ea77f752c7b9ec94abf7fe32426f9e44aac2f7760ebbfa74",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-30T08:50:00Z",
    "title_canon_sha256": "6c3ca4c7f876d62c7099c7100a92ee6fdcfe840f71f87b9b2d58770a47e8a317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09895",
    "kind": "arxiv",
    "version": 2
  }
}