Pith Number

pith:4OVLWRDM

pith:2010:4OVLWRDMOLWQSRIIYM6O3UMFBC

not attested not anchored not stored refs pending

Endomorphisms of abelian varieties, cyclotomic extensions and Lie algebras

Yuri G. Zarhin

arxiv:1001.3424 v5 · 2010-01-19 · 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{4OVLWRDMOLWQSRIIYM6O3UMFBC}

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	2026-05-18T02:09:32.278031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3aabb446c72ed094508c33cedd18508a0c240bb80ecd624b82698fa3b0e4536

Aliases

arxiv: 1001.3424 · arxiv_version: 1001.3424v5 · doi: 10.48550/arxiv.1001.3424 · pith_short_12: 4OVLWRDMOLWQ · pith_short_16: 4OVLWRDMOLWQSRII · pith_short_8: 4OVLWRDM

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/4OVLWRDMOLWQSRIIYM6O3UMFBC \
  | 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: e3aabb446c72ed094508c33cedd18508a0c240bb80ecd624b82698fa3b0e4536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c521c752552e76bcb80f361cd46ed638a08b076c049ac18c7b8215a53bd7046f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-01-19T21:51:38Z",
    "title_canon_sha256": "4e15baa45da1f0733ce3e248fa03b949e83dfaf630dfdb6081fe5dc4b35eee10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3424",
    "kind": "arxiv",
    "version": 5
  }
}