Pith Number

pith:OLLDHM5B

pith:2012:OLLDHM5BQK2BDDHEVNSL5Q5CSL

not attested not anchored not stored refs pending

A faster pseudo-primality test

Jean-Marc Couveignes, Reynald Lercier, Tony Ezome

arxiv:1204.1657 v2 · 2012-04-07 · 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{OLLDHM5BQK2BDDHEVNSL5Q5CSL}

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	2026-05-17T23:53:36.248401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d633b3a182b4118ce4ab64bec3a292d38ed0610e5b5d5fd3a2c4e5407ef94b

Aliases

arxiv: 1204.1657 · arxiv_version: 1204.1657v2 · doi: 10.48550/arxiv.1204.1657 · pith_short_12: OLLDHM5BQK2B · pith_short_16: OLLDHM5BQK2BDDHE · pith_short_8: OLLDHM5B

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/OLLDHM5BQK2BDDHEVNSL5Q5CSL \
  | 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: 72d633b3a182b4118ce4ab64bec3a292d38ed0610e5b5d5fd3a2c4e5407ef94b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a1bbb7483214433d06f78aa65b9dec0d2ca5203e4a76666bc928f108a7610e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-07T16:53:12Z",
    "title_canon_sha256": "202aefe7ded8f7c771971d60148eb3fe34987a7462202b39b455c924802c724b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1657",
    "kind": "arxiv",
    "version": 2
  }
}