Pith Number

pith:UU4NT4WM

pith:2014:UU4NT4WMGKRF2GLP37JRSDTXZW

not attested not anchored not stored refs pending

Remarks on AKS Primality Testing Algorithm and A Flaw in the Definition of P

Lihua Liu, Zhengjun Cao

arxiv:1402.0146 v1 · 2014-02-02 · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UU4NT4WMGKRF2GLP37JRSDTXZW}

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	2026-05-18T03:00:24.625097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a538d9f2cc32a25d196fdfd3190e77cdaa5b410fa0ec2b4c0ab0e6cb098b0e6c

Aliases

arxiv: 1402.0146 · arxiv_version: 1402.0146v1 · doi: 10.48550/arxiv.1402.0146 · pith_short_12: UU4NT4WMGKRF · pith_short_16: UU4NT4WMGKRF2GLP · pith_short_8: UU4NT4WM

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/UU4NT4WMGKRF2GLP37JRSDTXZW \
  | 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: a538d9f2cc32a25d196fdfd3190e77cdaa5b410fa0ec2b4c0ab0e6cb098b0e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70572258290d7e1c1c6ee859f0bb6b71fb885bd99e0786224b7473935e9d9012",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-02-02T03:12:24Z",
    "title_canon_sha256": "f0fddde0532328a7ba4e9cea538b713aca73b5df7a60236e370f731e75054e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0146",
    "kind": "arxiv",
    "version": 1
  }
}