Pith Number

pith:G54DY6PO

pith:2014:G54DY6POM2MUGSDDZJORLLX2FI

not attested not anchored not stored refs pending

Finding elliptic curves with a subgroup of prescribed size

Andrew V. Sutherland, Igor E. Shparlinski

arxiv:1403.7887 v3 · 2014-03-31 · 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{G54DY6POM2MUGSDDZJORLLX2FI}

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	2026-05-18T00:53:40.798128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37783c79ee6699434863ca5d15aefa2a1ce920a4133a4d41870c8fc5a4712c38

Aliases

arxiv: 1403.7887 · arxiv_version: 1403.7887v3 · doi: 10.48550/arxiv.1403.7887 · pith_short_12: G54DY6POM2MU · pith_short_16: G54DY6POM2MUGSDD · pith_short_8: G54DY6PO

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/G54DY6POM2MUGSDDZJORLLX2FI \
  | 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: 37783c79ee6699434863ca5d15aefa2a1ce920a4133a4d41870c8fc5a4712c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "018130cfc4a6651fe5883f6c5f911becc6dbafde453b9f326c07af74eb8a8761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-31T07:00:03Z",
    "title_canon_sha256": "0f14160cd5309f76fe7276cd0d918efd541602714c5fa80dbe0a1ef4d707bcfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7887",
    "kind": "arxiv",
    "version": 3
  }
}