Pith Number

pith:FCY6AC7W

pith:2015:FCY6AC7WBOA374NKEYNKTGZ2DD

not attested not anchored not stored refs pending

Endomorphism rings of reductions of elliptic curves and abelian varieties

Yuri G. Zarhin

arxiv:1509.07095 v2 · 2015-09-23 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCY6AC7WBOA374NKEYNKTGZ2DD}

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	2026-05-18T01:19:35.273986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b1e00bf60b81bff1aa261aa99b3a18fe0c252d4c7055774d42c2376d4471a2

Aliases

arxiv: 1509.07095 · arxiv_version: 1509.07095v2 · doi: 10.48550/arxiv.1509.07095 · pith_short_12: FCY6AC7WBOA3 · pith_short_16: FCY6AC7WBOA374NK · pith_short_8: FCY6AC7W

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/FCY6AC7WBOA374NKEYNKTGZ2DD \
  | 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: 28b1e00bf60b81bff1aa261aa99b3a18fe0c252d4c7055774d42c2376d4471a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba2a3353f1d2ff65b2aea8feed7eef97fd440a3b84936006e9a738a7a5c2c3c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-23T18:57:49Z",
    "title_canon_sha256": "9ccff7cafd94f3627d2e74eeebe9b5b4341209e93f77319fde4ade73c63ac1a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07095",
    "kind": "arxiv",
    "version": 2
  }
}