Pith Number

pith:2A23BZTK

pith:2015:2A23BZTKKTSKU2PER6U5AIGGUC

not attested not anchored not stored refs pending

Strong Pseudoprimes to Twelve Prime Bases

Jonathan P. Sorenson, Jonathan Webster

arxiv:1509.00864 v1 · 2015-09-02 · math.NT · cs.DS · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2A23BZTKKTSKU2PER6U5AIGGUC}

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	2026-05-18T00:00:41.643827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d035b0e66a54e4aa69e48fa9d020c6a0bca8cbec9a43a74c3b1aa8049aef587c

Aliases

arxiv: 1509.00864 · arxiv_version: 1509.00864v1 · doi: 10.48550/arxiv.1509.00864 · pith_short_12: 2A23BZTKKTSK · pith_short_16: 2A23BZTKKTSKU2PE · pith_short_8: 2A23BZTK

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/2A23BZTKKTSKU2PER6U5AIGGUC \
  | 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: d035b0e66a54e4aa69e48fa9d020c6a0bca8cbec9a43a74c3b1aa8049aef587c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d71630cbacb2487153be9b438f7d92e323124900d6aecece88d782091b66fd37",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-02T20:23:07Z",
    "title_canon_sha256": "fb06089211a8dbb11c90d69259466d29016c3647ff45c0752302af069f8b8ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00864",
    "kind": "arxiv",
    "version": 1
  }
}