Pith Number

pith:NME2Z5Z6

pith:2025:NME2Z5Z6LAI3SKMWHUKWXTG5NV

not attested not anchored not stored refs pending

Elliptic curves of rank one over number fields

Carlo Pagano, Peter Koymans

arxiv:2505.16910 v1 · 2025-05-22 · 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{NME2Z5Z6LAI3SKMWHUKWXTG5NV}

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	2026-07-05T11:07:43.264810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b09acf73e5811b929963d156bccdd6d40be78c658660980e3da32c1bd07deaf

Aliases

arxiv: 2505.16910 · arxiv_version: 2505.16910v1 · doi: 10.48550/arxiv.2505.16910 · pith_short_12: NME2Z5Z6LAI3 · pith_short_16: NME2Z5Z6LAI3SKMW · pith_short_8: NME2Z5Z6

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/NME2Z5Z6LAI3SKMWHUKWXTG5NV \
  | 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: 6b09acf73e5811b929963d156bccdd6d40be78c658660980e3da32c1bd07deaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ccc712dcb426b20d001c6867fb54ce46ac505a5a52c6464d2be5ae44c8972d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-22T17:10:05Z",
    "title_canon_sha256": "b01d3ee5d5af9d9b64687906a7c7b0852cb2a1316bf692f7013b48b8c2008a64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16910",
    "kind": "arxiv",
    "version": 1
  }
}