Pith Number

pith:F3VYWQQJ

pith:2025:F3VYWQQJD2PENKMY6JNOLAFNNM

not attested not anchored not stored refs pending

Counting $2 \times 2$ integer matrices with a given determinant

Akshat Mudgal, Jonathan Chapman

arxiv:2509.20259 v3 · 2025-09-24 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3VYWQQJD2PENKMY6JNOLAFNNM}

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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

Counting solutions to the quadratic determinant equation

Receipt and verification

First computed	2026-05-20T00:05:33.711030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eeb8b42091e9e46a998f25ae580ad6b06d6c7428e7cf36c3f9e0954d07c1761

Aliases

arxiv: 2509.20259 · arxiv_version: 2509.20259v3 · doi: 10.48550/arxiv.2509.20259 · pith_short_12: F3VYWQQJD2PE · pith_short_16: F3VYWQQJD2PENKMY · pith_short_8: F3VYWQQJ

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/F3VYWQQJD2PENKMY6JNOLAFNNM \
  | 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: 2eeb8b42091e9e46a998f25ae580ad6b06d6c7428e7cf36c3f9e0954d07c1761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62981bba230c34711cde900adacf9706cb3cb5b48e5bdfe70cdc90cdaefa154b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-24T15:45:45Z",
    "title_canon_sha256": "82836f7e15b9952540cf4ffa17fd70245774a472c4ab83b05498b8ce15889b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.20259",
    "kind": "arxiv",
    "version": 3
  }
}