Pith Number

pith:HCIISPXD

pith:2010:HCIISPXDXG5KBKBEX3VT7VLRTD

not attested not anchored not stored refs pending

Homomorphisms of abelian varieties over geometric fields of finite characteristic

Yuri G. Zarhin

arxiv:1012.5083 v3 · 2010-12-22 · 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{HCIISPXDXG5KBKBEX3VT7VLRTD}

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	2026-05-18T04:11:17.930846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3890893ee3b9baa0a824beeb3fd57198f2ac833324ba30562bf01befa6069907

Aliases

arxiv: 1012.5083 · arxiv_version: 1012.5083v3 · doi: 10.48550/arxiv.1012.5083 · pith_short_12: HCIISPXDXG5K · pith_short_16: HCIISPXDXG5KBKBE · pith_short_8: HCIISPXD

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/HCIISPXDXG5KBKBEX3VT7VLRTD \
  | 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: 3890893ee3b9baa0a824beeb3fd57198f2ac833324ba30562bf01befa6069907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b8dbe37ae2a33d042551e2f68fab3d7b0a412c9b24418551359a20d01a39f2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-22T20:06:06Z",
    "title_canon_sha256": "a46bb9f738248a8b315ff9782754ae9d6b14e4c323022ac925ebf132899ef074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5083",
    "kind": "arxiv",
    "version": 3
  }
}