Pith Number

pith:62JYF7BL

pith:2014:62JYF7BLLLCWOZEDYE4NNLPEJM

not attested not anchored not stored refs pending

Elliptic curves with 2-torsion contained in the 3-torsion field

Julio Brau, Nathan Jones

arxiv:1406.1262 v1 · 2014-06-05 · 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{62JYF7BLLLCWOZEDYE4NNLPEJM}

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	2026-05-18T02:50:23.649080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f69382fc2b5ac5676483c138d6ade44b2cacbe2dcd82337e3d22c22ba8ff6d0f

Aliases

arxiv: 1406.1262 · arxiv_version: 1406.1262v1 · doi: 10.48550/arxiv.1406.1262 · pith_short_12: 62JYF7BLLLCW · pith_short_16: 62JYF7BLLLCWOZED · pith_short_8: 62JYF7BL

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/62JYF7BLLLCWOZEDYE4NNLPEJM \
  | 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: f69382fc2b5ac5676483c138d6ade44b2cacbe2dcd82337e3d22c22ba8ff6d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e0fb8d59a5eec47eab884b88dd46229511357dd0a7d4785b21df08ab1647cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-05T03:50:26Z",
    "title_canon_sha256": "ca34015a8fac8affebec635293e97c0cd86315dde3b25f821bb9ac05bf6a0598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1262",
    "kind": "arxiv",
    "version": 1
  }
}