Pith Number

pith:7Y3R37MP

pith:2025:7Y3R37MPFQYN4GSAVNNMEGBPQ7

not attested not anchored not stored refs pending

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny

Lazar Radi\v{c}evi\'c, Matteo Verzobio, Stevan Gajovi\'c

arxiv:2502.08583 v2 · 2025-02-12 · 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{7Y3R37MPFQYN4GSAVNNMEGBPQ7}

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	2026-07-05T10:51:05.307851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe371dfd8f2c30de1a40ab5ac2182f87d815ba4bf6b21c36921cf48cd2736043

Aliases

arxiv: 2502.08583 · arxiv_version: 2502.08583v2 · doi: 10.48550/arxiv.2502.08583 · pith_short_12: 7Y3R37MPFQYN · pith_short_16: 7Y3R37MPFQYN4GSA · pith_short_8: 7Y3R37MP

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/7Y3R37MPFQYN4GSAVNNMEGBPQ7 \
  | 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: fe371dfd8f2c30de1a40ab5ac2182f87d815ba4bf6b21c36921cf48cd2736043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae76dee8981a4da5b6f05f07a7312729b9ebaaeaa5ba101ba6411913465dd608",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-12T17:14:38Z",
    "title_canon_sha256": "69f003ba12593b10ccbe8c3c0e2fe3211f67408ab153b0db6d5c464e92868542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08583",
    "kind": "arxiv",
    "version": 2
  }
}