Pith Number

pith:OAZ7J3GN

pith:2025:OAZ7J3GNONESKYLY47GX7SPWYH

not attested not anchored not stored refs pending

Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning

Aditya Karnataki, Pratiksha Shingavekar, Priyavrat Deshpande

arxiv:2509.03129 v1 · 2025-09-03 · 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{OAZ7J3GNONESKYLY47GX7SPWYH}

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	2026-07-05T12:04:04.595491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7033f4eccd7349256178e7cd7fc9f6c1c3bd7d7f44fcbbdb4203e0a09be63a9f

Aliases

arxiv: 2509.03129 · arxiv_version: 2509.03129v1 · doi: 10.48550/arxiv.2509.03129 · pith_short_12: OAZ7J3GNONES · pith_short_16: OAZ7J3GNONESKYLY · pith_short_8: OAZ7J3GN

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/OAZ7J3GNONESKYLY47GX7SPWYH \
  | 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: 7033f4eccd7349256178e7cd7fc9f6c1c3bd7d7f44fcbbdb4203e0a09be63a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7531df223120848996b950f6bb99323c0e24fa28531ef641cb0adff21e22e2a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-03T08:29:30Z",
    "title_canon_sha256": "9d39f8c1af42cd234dbc6e08bae8ba55e79a64e162a8bb1dffb0d28d2482b923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03129",
    "kind": "arxiv",
    "version": 1
  }
}