Pith Number

pith:4UVVI7LL

pith:2024:4UVVI7LLX63S7BQ5LQQ4QULDNU

not attested not anchored not stored refs pending

100% of odd hyperelliptic Jacobians have no rational points of small height

Jack A. Thorne, Jef Laga

arxiv:2405.10224 v1 · 2024-05-16 · 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{4UVVI7LLX63S7BQ5LQQ4QULDNU}

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.

Cited by

1 paper in Pith

Arithmetic statistics of isogeny Selmer groups associated to hyperelliptic curves

Receipt and verification

First computed	2026-07-05T08:19:54.794115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e52b547d6bbfb72f861d5c21c851636d15cc4d796d324aa8b380cc71ee83284d

Aliases

arxiv: 2405.10224 · arxiv_version: 2405.10224v1 · doi: 10.48550/arxiv.2405.10224 · pith_short_12: 4UVVI7LLX63S · pith_short_16: 4UVVI7LLX63S7BQ5 · pith_short_8: 4UVVI7LL

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/4UVVI7LLX63S7BQ5LQQ4QULDNU \
  | 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: e52b547d6bbfb72f861d5c21c851636d15cc4d796d324aa8b380cc71ee83284d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6ed6fb4e7f9701040a5316900c2f7b24f7987882d675d0e80828d1152faa13a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-05-16T16:13:45Z",
    "title_canon_sha256": "b634cf2a67543a3707399e91f38c5e69afa3b989177b7d516ce842b838cdb6b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.10224",
    "kind": "arxiv",
    "version": 1
  }
}