Pith Number

pith:RWILKYPL

pith:2012:RWILKYPLNQK2IVSKYFA7G2N5G6

not attested not anchored not stored refs pending

Deterministic elliptic curve primality proving for a special sequence of numbers

Alexander Abatzoglou, Alice Silverberg, Andrew V. Sutherland, Angela Wong

arxiv:1202.3695 v4 · 2012-02-16 · 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{RWILKYPLNQK2IVSKYFA7G2N5G6}

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	2026-05-18T02:22:30.350117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d90b561eb6c15a4564ac141f369bd37a96f78527a66c6bb39be4fe93a8e72c4

Aliases

arxiv: 1202.3695 · arxiv_version: 1202.3695v4 · doi: 10.48550/arxiv.1202.3695 · pith_short_12: RWILKYPLNQK2 · pith_short_16: RWILKYPLNQK2IVSK · pith_short_8: RWILKYPL

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/RWILKYPLNQK2IVSKYFA7G2N5G6 \
  | 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: 8d90b561eb6c15a4564ac141f369bd37a96f78527a66c6bb39be4fe93a8e72c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b2f5fe2a58c9df9ab1bdc097c920f724b4935110ab4767d1bc263946c054cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-16T20:57:44Z",
    "title_canon_sha256": "7e431b0864e4f609ca05a050cb63bda1556015faf5be48d859f43e51e17b6984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3695",
    "kind": "arxiv",
    "version": 4
  }
}