Pith Number

pith:JBXCHY7V

pith:2025:JBXCHY7VBFZGHBBUCPLVUEIY2X

not attested not anchored not stored refs pending

On commuting integer matrices

Akshat Mudgal, Jonathan Chapman

arxiv:2504.15839 v1 · 2025-04-22 · 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{JBXCHY7VBFZGHBBUCPLVUEIY2X}

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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

2 papers in Pith

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

Counting solutions to the quadratic determinant equation

Receipt and verification

First computed	2026-07-05T10:52:30.833313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

486e23e3f5097263843413d75a1118d5dd9c7a8f8f6cbb836fad50c5a36c2091

Aliases

arxiv: 2504.15839 · arxiv_version: 2504.15839v1 · doi: 10.48550/arxiv.2504.15839 · pith_short_12: JBXCHY7VBFZG · pith_short_16: JBXCHY7VBFZGHBBU · pith_short_8: JBXCHY7V

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/JBXCHY7VBFZGHBBUCPLVUEIY2X \
  | 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: 486e23e3f5097263843413d75a1118d5dd9c7a8f8f6cbb836fad50c5a36c2091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ad8586e3203e56dc1d597206c4a723d2515896decf0e99ccb1bf1c73e1804a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-22T12:34:14Z",
    "title_canon_sha256": "9ff6583c583db8c58ad5e0125c2de661f7a2e2691f266398ce4578c9ee073cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15839",
    "kind": "arxiv",
    "version": 1
  }
}