Pith Number

pith:YUUH4DIU

pith:2025:YUUH4DIUP54MVJPMUNSCAUZQ3R

not attested not anchored not stored refs pending

There are infinitely many elliptic curves over the rationals of rank 2

David Zywina

arxiv:2502.01957 v1 · 2025-02-04 · 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{YUUH4DIUP54MVJPMUNSCAUZQ3R}

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	2026-07-05T10:09:21.615516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5287e0d147f78caa5eca364205330dc52c13466cad03a82a2758163d345bdde

Aliases

arxiv: 2502.01957 · arxiv_version: 2502.01957v1 · doi: 10.48550/arxiv.2502.01957 · pith_short_12: YUUH4DIUP54M · pith_short_16: YUUH4DIUP54MVJPM · pith_short_8: YUUH4DIU

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/YUUH4DIUP54MVJPMUNSCAUZQ3R \
  | 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: c5287e0d147f78caa5eca364205330dc52c13466cad03a82a2758163d345bdde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a000bb530086ce15e7b462aabca19926f51087336fe20f07263ee0915e99482f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-04T03:06:01Z",
    "title_canon_sha256": "2f356ac2cb9a36da3f22c90c86fddae81264f322ac465c39cf2b91a42c8a2567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01957",
    "kind": "arxiv",
    "version": 1
  }
}