Pith Number

pith:CWLXTYEN

pith:2010:CWLXTYEN7PDSJWU2KMFQPEALMU

not attested not anchored not stored refs pending

Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion

Sara Arias-de-Reyna, Sebastian Petersen, Wojciech Gajda

arxiv:1010.2444 v2 · 2010-10-12 · math.AG · math.AC · 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{CWLXTYEN7PDSJWU2KMFQPEALMU}

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	2026-05-18T04:04:53.518414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159779e08dfbc724da9a530b07900b650a22e1e10b2a87d1159bcd1b69678b9e

Aliases

arxiv: 1010.2444 · arxiv_version: 1010.2444v2 · doi: 10.48550/arxiv.1010.2444 · pith_short_12: CWLXTYEN7PDS · pith_short_16: CWLXTYEN7PDSJWU2 · pith_short_8: CWLXTYEN

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/CWLXTYEN7PDSJWU2KMFQPEALMU \
  | 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: 159779e08dfbc724da9a530b07900b650a22e1e10b2a87d1159bcd1b69678b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eda6717b7844dd3beeb18e79a3c9b2b1f608935ae7e30cfe634c1bc859ae09d",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-12T17:02:08Z",
    "title_canon_sha256": "8ca2250973fd884881917d6e86c9f51eb3aa9c6969b4a5e4b543eb820b82be32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2444",
    "kind": "arxiv",
    "version": 2
  }
}