Pith Number

pith:BRT34MTK

pith:2025:BRT34MTKC3Y2XI4HZABIKT4SHI

not attested not anchored not stored refs pending

A uniform bound on the smallest surjective prime of an elliptic curve

Jacob Mayle, Jeremy Rouse, Tyler Genao

arxiv:2501.02345 v2 · 2025-01-04 · 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{BRT34MTKC3Y2XI4HZABIKT4SHI}

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	2026-07-05T10:09:51.116687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c67be326a16f1aba387c802854f923a390780d2b981613db1ab1e1479477f6a

Aliases

arxiv: 2501.02345 · arxiv_version: 2501.02345v2 · doi: 10.48550/arxiv.2501.02345 · pith_short_12: BRT34MTKC3Y2 · pith_short_16: BRT34MTKC3Y2XI4H · pith_short_8: BRT34MTK

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/BRT34MTKC3Y2XI4HZABIKT4SHI \
  | 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: 0c67be326a16f1aba387c802854f923a390780d2b981613db1ab1e1479477f6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddbfa9f77ded0d4af7f70e5b814811683d77ffe56de1ec3fa35ce269c31af16f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-04T17:53:07Z",
    "title_canon_sha256": "16867d6cbe3355f61d9e6acb230faed2807f0eece5c3ff35d57875d161a03281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.02345",
    "kind": "arxiv",
    "version": 2
  }
}