Pith Number

pith:7YMDW7G3

pith:2025:7YMDW7G3JLRLBBGLH4X37L3S6X

not attested not anchored not stored refs pending

Infinitely many elliptic curves over $\mathbb{Q}(i)$ with rank 2 and $j$-invariant 1728

Ben Savoie

arxiv:2506.17605 v2 · 2025-06-21 · 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{7YMDW7G3JLRLBBGLH4X37L3S6X}

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

Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two

Receipt and verification

First computed	2026-07-05T11:56:58.469128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe183b7cdb4ae2b084cb3f2fbfaf72f5f1ea1181c5d33181bc9962507803b910

Aliases

arxiv: 2506.17605 · arxiv_version: 2506.17605v2 · doi: 10.48550/arxiv.2506.17605 · pith_short_12: 7YMDW7G3JLRL · pith_short_16: 7YMDW7G3JLRLBBGL · pith_short_8: 7YMDW7G3

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/7YMDW7G3JLRLBBGLH4X37L3S6X \
  | 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: fe183b7cdb4ae2b084cb3f2fbfaf72f5f1ea1181c5d33181bc9962507803b910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9fa6f6d9b1596cc0fa6a0172b2abd55dade632db539dedf4c15316b7d7a230b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-21T05:56:57Z",
    "title_canon_sha256": "bd82e1409c183e265f95f12a99fd55f8ef324b3216c408850405e19535ea6934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17605",
    "kind": "arxiv",
    "version": 2
  }
}