Pith Number

pith:YTMMJPC3

pith:2012:YTMMJPC3CW3NAL4IZLEXOVWVSL

not attested not anchored not stored refs pending

A 60,000 digit prime number of the form $x^{2} + x + 41$

Jeremy Rouse, Justin DeBenedetto

arxiv:1207.7291 v1 · 2012-07-31 · 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{YTMMJPC3CW3NAL4IZLEXOVWVSL}

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	2026-05-18T03:49:46.259784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4d8c4bc5b15b6d02f88cac97756d592fb909299a3fd3bfd1c2a9ba4d3242b45

Aliases

arxiv: 1207.7291 · arxiv_version: 1207.7291v1 · doi: 10.48550/arxiv.1207.7291 · pith_short_12: YTMMJPC3CW3N · pith_short_16: YTMMJPC3CW3NAL4I · pith_short_8: YTMMJPC3

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/YTMMJPC3CW3NAL4IZLEXOVWVSL \
  | 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: c4d8c4bc5b15b6d02f88cac97756d592fb909299a3fd3bfd1c2a9ba4d3242b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee46e4132e1d768b7bc1a7cf2babe7c3926d9a197e14a8ff0b928d4bb85b90e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-31T15:37:20Z",
    "title_canon_sha256": "25c6c0798316b5c2eab4fb074fc1427f69b5c496f7c6302197d530235f029a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7291",
    "kind": "arxiv",
    "version": 1
  }
}