Pith Number

pith:XUBPVQRP

pith:2013:XUBPVQRPZHYMBM5AMUMKC2DJZX

not attested not anchored not stored refs pending

Explicit primality criteria for $h\cdot2^n\pm1$

Dandan Huang, Yingpu Deng

arxiv:1306.4456 v2 · 2013-06-19 · 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{XUBPVQRPZHYMBM5AMUMKC2DJZX}

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	2026-05-18T03:05:54.382465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd02fac22fc9f0c0b3a06518a16869cdf9ae757e9ab86f351aaf0ac20812a251

Aliases

arxiv: 1306.4456 · arxiv_version: 1306.4456v2 · doi: 10.48550/arxiv.1306.4456 · pith_short_12: XUBPVQRPZHYM · pith_short_16: XUBPVQRPZHYMBM5A · pith_short_8: XUBPVQRP

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/XUBPVQRPZHYMBM5AMUMKC2DJZX \
  | 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: bd02fac22fc9f0c0b3a06518a16869cdf9ae757e9ab86f351aaf0ac20812a251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eff13c8a3f023e1c19dab7bdc522938cb3357b35452008f61e5763320efd47d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-19T08:50:05Z",
    "title_canon_sha256": "ffb5df44a16aaa282aa42c487e86a236c38d7efd3266a94f7dd2ec9f9ac58911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4456",
    "kind": "arxiv",
    "version": 2
  }
}