Pith Number

pith:VOYRB4UN

pith:2025:VOYRB4UNFYQGZESFSXOEHDIKHN

not attested not anchored not stored refs pending

On the irrationality of certain $p$-adic zeta values

Cezar Lupu, Johannes Sprang, Li Lai

arxiv:2505.23088 v1 · 2025-05-29 · 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{VOYRB4UNFYQGZESFSXOEHDIKHN}

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	2026-07-05T11:11:55.273749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abb110f28d2e206c924595dc438d0a3b4c96c98ea99661644b696488dd73a25f

Aliases

arxiv: 2505.23088 · arxiv_version: 2505.23088v1 · doi: 10.48550/arxiv.2505.23088 · pith_short_12: VOYRB4UNFYQG · pith_short_16: VOYRB4UNFYQGZESF · pith_short_8: VOYRB4UN

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/VOYRB4UNFYQGZESFSXOEHDIKHN \
  | 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: abb110f28d2e206c924595dc438d0a3b4c96c98ea99661644b696488dd73a25f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acbee26785c4c43cdec4834a3070baed257458b1c5c8188bf0258f5775480c84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-29T04:48:07Z",
    "title_canon_sha256": "45fcbaf8c0bb435c2b25b979253b21c8762b2141d094a2a5c1496dc2e0007702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23088",
    "kind": "arxiv",
    "version": 1
  }
}