Pith Number

pith:YOOHS4TQ

pith:2025:YOOHS4TQ4DHVANAFSTCSWD5CYI

not attested not anchored not stored refs pending

Rank growth of elliptic curves over S3 extensions with fixed quadratic resolvents

Daniel Keliher, Sun Woo Park

arxiv:2502.05705 v1 · 2025-02-08 · 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{YOOHS4TQ4DHVANAFSTCSWD5CYI}

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.

Receipt and verification

First computed	2026-07-05T10:11:42.291255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c39c797270e0cf50340594c52b0fa2c23cb3e3e0a67935272f92518d617245c3

Aliases

arxiv: 2502.05705 · arxiv_version: 2502.05705v1 · doi: 10.48550/arxiv.2502.05705 · pith_short_12: YOOHS4TQ4DHV · pith_short_16: YOOHS4TQ4DHVANAF · pith_short_8: YOOHS4TQ

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/YOOHS4TQ4DHVANAFSTCSWD5CYI \
  | 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: c39c797270e0cf50340594c52b0fa2c23cb3e3e0a67935272f92518d617245c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51d2e1ff215a4eca70fface589ac0cb2eb76c2b970fc163c5fb6a1466cc6a251",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-08T21:57:41Z",
    "title_canon_sha256": "47b4cc4251594029656e4111342e74ed64bd17c4f0a49451882e8e6765da48e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05705",
    "kind": "arxiv",
    "version": 1
  }
}