Pith Number

pith:63R6D4E5

pith:2014:63R6D4E5J57ERYRWOTKPD4ERHO

not attested not anchored not stored refs pending

A framework for deterministic primality proving using elliptic curves with complex multiplication

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

arxiv:1404.0107 v3 · 2014-04-01 · 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{63R6D4E5J57ERYRWOTKPD4ERHO}

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	2026-05-18T01:20:12.361978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e3e1f09d4f7e48e23674d4f1f0913b9d9a3f7ece1cc285f3e3d33ebc24b213

Aliases

arxiv: 1404.0107 · arxiv_version: 1404.0107v3 · doi: 10.48550/arxiv.1404.0107 · pith_short_12: 63R6D4E5J57E · pith_short_16: 63R6D4E5J57ERYRW · pith_short_8: 63R6D4E5

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/63R6D4E5J57ERYRWOTKPD4ERHO \
  | 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: f6e3e1f09d4f7e48e23674d4f1f0913b9d9a3f7ece1cc285f3e3d33ebc24b213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a989d366bcc74c93a7629d673b14b5b4d58abd229931d9987e218fec2729feb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-01T02:09:08Z",
    "title_canon_sha256": "0b10c5d3de8091ae23a4353e13668711cb140062f00210af5c585defef727084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0107",
    "kind": "arxiv",
    "version": 3
  }
}