Pith Number

pith:FDQTRWR5

pith:2023:FDQTRWR54BX5QQNVWSYHM6OWCV

not attested not anchored not stored refs pending

The simple normality of the fractional powers of two and the Riemann zeta function

Kota Saito, Yuya Kanado

arxiv:2312.13943 v2 · 2023-12-21 · 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{FDQTRWR54BX5QQNVWSYHM6OWCV}

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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.

Cited by

1 paper in Pith

Normality of algebraic numbers and the Riemann zeta function

Receipt and verification

First computed	2026-07-05T07:28:47.693226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e138da3de06fd841b5b4b07679d6154583d3bb5f1d53c1c878f8b645cb978a

Aliases

arxiv: 2312.13943 · arxiv_version: 2312.13943v2 · doi: 10.48550/arxiv.2312.13943 · pith_short_12: FDQTRWR54BX5 · pith_short_16: FDQTRWR54BX5QQNV · pith_short_8: FDQTRWR5

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/FDQTRWR54BX5QQNVWSYHM6OWCV \
  | 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: 28e138da3de06fd841b5b4b07679d6154583d3bb5f1d53c1c878f8b645cb978a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e19449333b7ed8f156fa02a60970a9497d64cad9ddce4d3d0990314010473c07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-21T15:33:00Z",
    "title_canon_sha256": "fdb60d73d4ecf5b39bba0fcecc0e99625f218bc81c2050d81d717ec5f8f7f0e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.13943",
    "kind": "arxiv",
    "version": 2
  }
}