Pith Number

pith:LMOVNV5U

pith:2011:LMOVNV5U4CGYXKOYTNVKLTONQ4

not attested not anchored not stored refs pending

On isogeny classes of Edwards curves over finite fields

Omran Ahmadi, Robert Granger

arxiv:1103.3381 v1 · 2011-03-17 · math.NT · cs.CR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMOVNV5U4CGYXKOYTNVKLTONQ4}

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	2026-05-18T04:26:33.806595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b1d56d7b4e08d8ba9d89b6aa5cdcd873ffffbd40a02b8b72aed61a053a6bf6f

Aliases

arxiv: 1103.3381 · arxiv_version: 1103.3381v1 · doi: 10.48550/arxiv.1103.3381 · pith_short_12: LMOVNV5U4CGY · pith_short_16: LMOVNV5U4CGYXKOY · pith_short_8: LMOVNV5U

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/LMOVNV5U4CGYXKOYTNVKLTONQ4 \
  | 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: 5b1d56d7b4e08d8ba9d89b6aa5cdcd873ffffbd40a02b8b72aed61a053a6bf6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239456db35372b40a4b776449610add26baccbe289e7c223b8be9ca428a610e3",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-17T11:15:55Z",
    "title_canon_sha256": "f12b577486d64682a2115d6810d2d0d41f25c8abfb0f896f45e24cc1cf3ff205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3381",
    "kind": "arxiv",
    "version": 1
  }
}