Pith Number

pith:CVQUK36Z

pith:2013:CVQUK36ZWTC3VARQZU5IKYL6M2

not attested not anchored not stored refs pending

Primality test for numbers of the form $(2p)^{2^n}+1$

Dandan Huang, Yingpu Deng

arxiv:1307.1840 v1 · 2013-07-07 · 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{CVQUK36ZWTC3VARQZU5IKYL6M2}

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	2026-05-18T03:19:03.355119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1561456fd9b4c5ba8230cd3a85617e6683b3493d140e0fa6352d33dcdf64e1ac

Aliases

arxiv: 1307.1840 · arxiv_version: 1307.1840v1 · doi: 10.48550/arxiv.1307.1840 · pith_short_12: CVQUK36ZWTC3 · pith_short_16: CVQUK36ZWTC3VARQ · pith_short_8: CVQUK36Z

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/CVQUK36ZWTC3VARQZU5IKYL6M2 \
  | 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: 1561456fd9b4c5ba8230cd3a85617e6683b3493d140e0fa6352d33dcdf64e1ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c1a3bc9727a95a78c4aaf9df8c996f63260eac0526bfd497816c6beafb4c30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-07T09:00:05Z",
    "title_canon_sha256": "e379544c5eb257a10e2e078f6c3bcda1c05005d82e2bea0e2e4ea83181dddd6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1840",
    "kind": "arxiv",
    "version": 1
  }
}