Pith Number

pith:V75PCCSX

pith:2026:V75PCCSX546U4T7EMRDPELZIU7

not attested not anchored not stored refs pending

Counting odd genus $2$ curves with a marked rational $3$-torsion point

Elvira Lupoian, Lazar Radicevic

arxiv:2607.09483 v1 · 2026-07-10 · 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{V75PCCSX546U4T7EMRDPELZIU7}

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	2026-07-13T01:20:13.175727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

affaf10a57ef3d4e4fe46446f22f28a7f5311abbada9a4fbf5c8e1305d987fff

Aliases

arxiv: 2607.09483 · arxiv_version: 2607.09483v1 · doi: 10.48550/arxiv.2607.09483 · pith_short_12: V75PCCSX546U · pith_short_16: V75PCCSX546U4T7E · pith_short_8: V75PCCSX

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/V75PCCSX546U4T7EMRDPELZIU7 \
  | 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: affaf10a57ef3d4e4fe46446f22f28a7f5311abbada9a4fbf5c8e1305d987fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7656b904b67de62867c76a4038573eafcd50b2701e9a92784940eb16903b22db",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-10T15:00:06Z",
    "title_canon_sha256": "8b6f9f86211c25b45e2d85f1c54f39840a3027e47b83ad1f6bbb68c48c8e2389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09483",
    "kind": "arxiv",
    "version": 1
  }
}