Pith Number

pith:FK3MWWDZ

pith:2018:FK3MWWDZP7QCEKSL33USCHTV6W

not attested not anchored not stored refs pending

Principally polarized squares of elliptic curves with field of moduli equal to Q

Alexandre G\'elin, Christophe Ritzenthaler, Everett W. Howe

arxiv:1806.03826 v2 · 2018-06-11 · 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{FK3MWWDZP7QCEKSL33USCHTV6W}

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	2026-05-17T23:54:11.357718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab6cb58797fe0222a4bdee9211e75f5aa63a1182aca2c3e25316546c7f944da

Aliases

arxiv: 1806.03826 · arxiv_version: 1806.03826v2 · doi: 10.48550/arxiv.1806.03826 · pith_short_12: FK3MWWDZP7QC · pith_short_16: FK3MWWDZP7QCEKSL · pith_short_8: FK3MWWDZ

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/FK3MWWDZP7QCEKSL33USCHTV6W \
  | 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: 2ab6cb58797fe0222a4bdee9211e75f5aa63a1182aca2c3e25316546c7f944da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b54d80ce03d91a47f360d24e8e1c841e9d66f4089ed54f967b321ec32c147eb4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-11T06:40:45Z",
    "title_canon_sha256": "8993b333dcf14e6a83ad97ebce3b5ed0262dd48e821457f2350e8a09887d222d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03826",
    "kind": "arxiv",
    "version": 2
  }
}