Pith Number

pith:QPKYMEYT

pith:2010:QPKYMEYTZCTW3IFIQ6TADDU7ZR

not attested not anchored not stored refs pending

Finite group subschemes of abelian varieties over finite fields

Sergey Rybakov

arxiv:1006.5959 v3 · 2010-06-30 · 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{QPKYMEYTZCTW3IFIQ6TADDU7ZR}

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.

Cited by

1 paper in Pith

Generalized Kummer surfaces over finite fields

Receipt and verification

First computed	2026-05-18T03:06:03.975201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83d5861313c8a76da0a887a6018e9fcc44a9f30ce7dac1effbe15f91e6d19c35

Aliases

arxiv: 1006.5959 · arxiv_version: 1006.5959v3 · doi: 10.48550/arxiv.1006.5959 · pith_short_12: QPKYMEYTZCTW · pith_short_16: QPKYMEYTZCTW3IFI · pith_short_8: QPKYMEYT

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/QPKYMEYTZCTW3IFIQ6TADDU7ZR \
  | 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: 83d5861313c8a76da0a887a6018e9fcc44a9f30ce7dac1effbe15f91e6d19c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de66afa6438a5c6022e25c88f24248a9bcc3837146f1f77a59e42f0aa84237b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-06-30T19:40:50Z",
    "title_canon_sha256": "1847f5b2580056dacb4bd35d82ca3c8460f6707d1d8617a63d21702f8996fed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5959",
    "kind": "arxiv",
    "version": 3
  }
}