Pith Number

pith:Y4MJOSOV

pith:2009:Y4MJOSOVX5JPDAKVUIYWYELY4S

not attested not anchored not stored refs pending

Computing the endomorphism ring of an ordinary elliptic curve over a finite field

Andrew V. Sutherland, Gaetan Bisson

arxiv:0902.4670 v2 · 2009-02-26 · 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{Y4MJOSOVX5JPDAKVUIYWYELY4S}

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	2026-05-18T03:52:51.770875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7189749d5bf52f18155a2316c1178e4a730418a4743dc739f84bc21aa3722f2

Aliases

arxiv: 0902.4670 · arxiv_version: 0902.4670v2 · doi: 10.48550/arxiv.0902.4670 · pith_short_12: Y4MJOSOVX5JP · pith_short_16: Y4MJOSOVX5JPDAKV · pith_short_8: Y4MJOSOV

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/Y4MJOSOVX5JPDAKVUIYWYELY4S \
  | 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: c7189749d5bf52f18155a2316c1178e4a730418a4743dc739f84bc21aa3722f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57f0218fc0959c97c70005ee34497e3ac0d84cc6456ce709f7c5fa1b150dbe2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-02-26T19:01:16Z",
    "title_canon_sha256": "72c54977081e67ce8358bd3d81d220fd1b0f76e13291e6dcc9abba545bd9643f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4670",
    "kind": "arxiv",
    "version": 2
  }
}