Pith Number

pith:VQBFDNDU

pith:2017:VQBFDNDUTPX66EZPEP2WVL6YDJ

not attested not anchored not stored refs pending

Leading Digits of Mersenne Numbers

A.J. Hildebrand, Junxian Li, Matthew Faust, Yuan Zhang, Zhaodong Cai

arxiv:1712.04425 v3 · 2017-12-12 · 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{VQBFDNDUTPX66EZPEP2WVL6YDJ}

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	2026-05-18T00:02:13.069860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac0251b4749befef132f23f56aafd81a4734268d3d6efa63c65dcf65db4cadfb

Aliases

arxiv: 1712.04425 · arxiv_version: 1712.04425v3 · doi: 10.48550/arxiv.1712.04425 · pith_short_12: VQBFDNDUTPX6 · pith_short_16: VQBFDNDUTPX66EZP · pith_short_8: VQBFDNDU

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/VQBFDNDUTPX66EZPEP2WVL6YDJ \
  | 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: ac0251b4749befef132f23f56aafd81a4734268d3d6efa63c65dcf65db4cadfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f2300de6a1b4f1eb18908110eb3af91d371e4ddcfdbb14e67d20191b96f0fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-12T18:35:37Z",
    "title_canon_sha256": "5992d6aa154e97d7e8d075427b5341e223f7bb3060e346d689ec1ebe8b7754ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04425",
    "kind": "arxiv",
    "version": 3
  }
}