Pith Number

pith:LJG34LWU

pith:2024:LJG34LWU4VMYXT3JF7GVDU3LTY

not attested not anchored not stored refs pending

Normality of algebraic numbers and the Riemann zeta function

Kota Saito, Yuya Kanado

arxiv:2412.02337 v2 · 2024-12-03 · 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{LJG34LWU4VMYXT3JF7GVDU3LTY}

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	2026-07-05T09:50:07.774395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4dbe2ed4e5598bcf692fcd51d36b9e246b64d7e4902377b74fcde48c4d3c11

Aliases

arxiv: 2412.02337 · arxiv_version: 2412.02337v2 · doi: 10.48550/arxiv.2412.02337 · pith_short_12: LJG34LWU4VMY · pith_short_16: LJG34LWU4VMYXT3J · pith_short_8: LJG34LWU

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/LJG34LWU4VMYXT3JF7GVDU3LTY \
  | 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: 5a4dbe2ed4e5598bcf692fcd51d36b9e246b64d7e4902377b74fcde48c4d3c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a73f354363a448f20e944259687592a71c3356bcb277e42617e43ff6997cc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-03T09:59:36Z",
    "title_canon_sha256": "ead014bc3d27c955a191c0891e852a8a1d71aa3772c74350b802c71d3e55bb82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02337",
    "kind": "arxiv",
    "version": 2
  }
}