Pith Number

pith:3QRKN7SV

pith:2011:3QRKN7SVWNL5SQTWLGXV6ZTH3M

not attested not anchored not stored refs pending

The Group Structure of Bachet Elliptic Curves over Finite Fields F_{p}

Gokhan Soydan, Ismail Naci Cangul, Musa Demirci, Nazli Yildiz Ikikardes

arxiv:1106.5851 v1 · 2011-06-29 · 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{3QRKN7SVWNL5SQTWLGXV6ZTH3M}

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	2026-05-18T04:19:05.035612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc22a6fe55b357d9427659af5f6667db2abec957329691dc011ae63253032fee

Aliases

arxiv: 1106.5851 · arxiv_version: 1106.5851v1 · doi: 10.48550/arxiv.1106.5851 · pith_short_12: 3QRKN7SVWNL5 · pith_short_16: 3QRKN7SVWNL5SQTW · pith_short_8: 3QRKN7SV

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/3QRKN7SVWNL5SQTWLGXV6ZTH3M \
  | 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: dc22a6fe55b357d9427659af5f6667db2abec957329691dc011ae63253032fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e17731d958dff53df17bb265fafb1a828b33baecd5acda5540ee91714445b86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-29T07:07:58Z",
    "title_canon_sha256": "e9a7929ee690360e47270c944f9b87bea7922e01570a83894c9884cdf4ff6a31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5851",
    "kind": "arxiv",
    "version": 1
  }
}