Pith Number

pith:H6WVMQZC

pith:2025:H6WVMQZC4HN6IGGUGUNQMNWH4N

not attested not anchored not stored refs pending

An elliptic surface with infinitely many fibers for which the rank does not jump

David Zywina

arxiv:2502.01026 v1 · 2025-02-03 · 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{H6WVMQZC4HN6IGGUGUNQMNWH4N}

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

Rank one elliptic curves and rank stability

Receipt and verification

First computed	2026-07-05T10:08:41.803111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fad564322e1dbe418d4351b0636c7e36870ee2aece54f219f0ff7537b935701

Aliases

arxiv: 2502.01026 · arxiv_version: 2502.01026v1 · doi: 10.48550/arxiv.2502.01026 · pith_short_12: H6WVMQZC4HN6 · pith_short_16: H6WVMQZC4HN6IGGU · pith_short_8: H6WVMQZC

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/H6WVMQZC4HN6IGGUGUNQMNWH4N \
  | 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: 3fad564322e1dbe418d4351b0636c7e36870ee2aece54f219f0ff7537b935701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ba62068c02d5077a892d4300c7e56b52f8eaaa3cbdae8b1c3458dbf98ddb48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-03T03:44:34Z",
    "title_canon_sha256": "d5dc539d1dea29f6846cdf65f269cefeb2dd34b572efb184e09eecd05fc9d342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01026",
    "kind": "arxiv",
    "version": 1
  }
}