Pith Number

pith:JTKC4UK6

pith:2011:JTKC4UK6VC43EYQXPNSH46M3EH

not attested not anchored not stored refs pending

Computer experiments with Mersenne primes

Marek Wolf

arxiv:1112.2412 v1 · 2011-12-11 · 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{JTKC4UK6VC43EYQXPNSH46M3EH}

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	2026-05-18T02:56:04.137288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cd42e515ea8b9b262177b647e799b21e0cc7fdb4d7b9a7362d4a0cc8581fe6a

Aliases

arxiv: 1112.2412 · arxiv_version: 1112.2412v1 · doi: 10.48550/arxiv.1112.2412 · pith_short_12: JTKC4UK6VC43 · pith_short_16: JTKC4UK6VC43EYQX · pith_short_8: JTKC4UK6

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/JTKC4UK6VC43EYQXPNSH46M3EH \
  | 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: 4cd42e515ea8b9b262177b647e799b21e0cc7fdb4d7b9a7362d4a0cc8581fe6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e39ec94ac9926e06d4ddbe599b93be44fdac20085f4f86a92fe64701aea55c4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-11T23:04:36Z",
    "title_canon_sha256": "5d048e08746753eda5b37141f1892dee98eeac0889e036d7f16156db968b1321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2412",
    "kind": "arxiv",
    "version": 1
  }
}