Pith Number

pith:3VPRK3JJ

pith:2025:3VPRK3JJYECX5YWMP2CMKXLNBO

not attested not anchored not stored refs pending

On the Distribution of 2-Selmer ranks of Quadratic Twists of Elliptic Curves over $\mathbb{Q}$

Jinzhao Pan, Ye Tian

arxiv:2503.21462 v1 · 2025-03-27 · 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{3VPRK3JJYECX5YWMP2CMKXLNBO}

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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

Distribution of Selmer ranks in prime cyclic extensions

Receipt and verification

First computed	2026-07-05T10:40:25.821932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5f156d29c1057ee2cc7e84c55d6d0ba0b528bbe160092258b260c10c544a2b

Aliases

arxiv: 2503.21462 · arxiv_version: 2503.21462v1 · doi: 10.48550/arxiv.2503.21462 · pith_short_12: 3VPRK3JJYECX · pith_short_16: 3VPRK3JJYECX5YWM · pith_short_8: 3VPRK3JJ

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/3VPRK3JJYECX5YWMP2CMKXLNBO \
  | 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: dd5f156d29c1057ee2cc7e84c55d6d0ba0b528bbe160092258b260c10c544a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ef9281537ecdcfbef8e2416931f037fed801971717e61373c10d7d8a262a4b8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-27T12:52:42Z",
    "title_canon_sha256": "e173fcbeb1def0cba5821fb0364107769d787578f1407ecb5115e1b6bf005be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.21462",
    "kind": "arxiv",
    "version": 1
  }
}