Pith Number

pith:KO3EP4E7

pith:2019:KO3EP4E7FPYZLBBJL57IER6FIU

not attested not anchored not stored refs pending

A Probable Prime Test With High Confidence

Jon Grantham

arxiv:1903.06823 v1 · 2019-03-15 · 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{KO3EP4E7FPYZLBBJL57IER6FIU}

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	2026-05-17T23:51:08.926420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b647f09f2bf19584295f7e8247c5450e3c58ee5357875c8a89000ca2642cde

Aliases

arxiv: 1903.06823 · arxiv_version: 1903.06823v1 · doi: 10.48550/arxiv.1903.06823 · pith_short_12: KO3EP4E7FPYZ · pith_short_16: KO3EP4E7FPYZLBBJ · pith_short_8: KO3EP4E7

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/KO3EP4E7FPYZLBBJL57IER6FIU \
  | 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: 53b647f09f2bf19584295f7e8247c5450e3c58ee5357875c8a89000ca2642cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2cc86197e2df02d5213d81f233567189c761130bd4c1c091c1963a86491c13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-15T22:21:14Z",
    "title_canon_sha256": "4bc5d15855aaf109b1b8fb23cf371e0be670d47425e2e6f20ce3308e06c0b56c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06823",
    "kind": "arxiv",
    "version": 1
  }
}