Pith Number

pith:6JF5JDDG

pith:2011:6JF5JDDGSBAIOMPBLNG5X3OBAE

not attested not anchored not stored refs pending

$\zeta(5)$ is irrational

Yong-Cheol Kim

arxiv:1105.0730 v2 · 2011-05-04 · math.CA · 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{6JF5JDDGSBAIOMPBLNG5X3OBAE}

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	2026-05-18T04:22:31.614383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f24bd48c6690408731e15b4ddbedc101106da9770071d14f53d935db1cc48c81

Aliases

arxiv: 1105.0730 · arxiv_version: 1105.0730v2 · doi: 10.48550/arxiv.1105.0730 · pith_short_12: 6JF5JDDGSBAI · pith_short_16: 6JF5JDDGSBAIOMPB · pith_short_8: 6JF5JDDG

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/6JF5JDDGSBAIOMPBLNG5X3OBAE \
  | 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: f24bd48c6690408731e15b4ddbedc101106da9770071d14f53d935db1cc48c81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10109f5581a9881a1a890eaf93a104f592e9700ef04f229c03ef8252f1a63098",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-04T03:36:22Z",
    "title_canon_sha256": "5909b34a91cd34fb4e8cd4f49311a8597571d62d3e7df92f840930b4b4894e4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0730",
    "kind": "arxiv",
    "version": 2
  }
}