Pith Number

pith:5WZDB6NC

pith:2026:5WZDB6NCUHSKY4J3DMSFCSAJXK

not attested not anchored not stored refs pending

The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers

Mahadee Al Mobin, Md. Shariful Islam

arxiv:2607.10654 v1 · 2026-07-12 · 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{5WZDB6NCUHSKY4J3DMSFCSAJXK}

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	2026-07-14T01:21:32.750407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb230f9a2a1e4ac713b1b24514809bab1f52438ce0147c9d0caf2093b2aa64e

Aliases

arxiv: 2607.10654 · arxiv_version: 2607.10654v1 · doi: 10.48550/arxiv.2607.10654 · pith_short_12: 5WZDB6NCUHSK · pith_short_16: 5WZDB6NCUHSKY4J3 · pith_short_8: 5WZDB6NC

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/5WZDB6NCUHSKY4J3DMSFCSAJXK \
  | 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: edb230f9a2a1e4ac713b1b24514809bab1f52438ce0147c9d0caf2093b2aa64e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14f7ac33be15352354a7e6c64cda995b8acaed47b6e2d84a31cd573359136276",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-12T08:40:29Z",
    "title_canon_sha256": "0b1ba3db1c2aa58b57a5b0c1e8805eef7e8d1d5299d6bcb5fcdd468cf1441451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10654",
    "kind": "arxiv",
    "version": 1
  }
}