Pith Number

pith:MGVMO5HV

pith:2025:MGVMO5HVLPXI63STNRG7DUINKX

not attested not anchored not stored refs pending

Counting matrices over finite rank multiplicative groups

Aaron Manning, Alina Ostafe, Igor E. Shparlinski

arxiv:2502.07100 v1 · 2025-02-10 · 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{MGVMO5HVLPXI63STNRG7DUINKX}

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	2026-07-05T10:12:32.842788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61aac774f55bee8f6e536c4df1d10d55dc98782d182c1fc00c9e7be7b5f3b98b

Aliases

arxiv: 2502.07100 · arxiv_version: 2502.07100v1 · doi: 10.48550/arxiv.2502.07100 · pith_short_12: MGVMO5HVLPXI · pith_short_16: MGVMO5HVLPXI63ST · pith_short_8: MGVMO5HV

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/MGVMO5HVLPXI63STNRG7DUINKX \
  | 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: 61aac774f55bee8f6e536c4df1d10d55dc98782d182c1fc00c9e7be7b5f3b98b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61cd03518c9dea93f99f0245a3024d88657c64328d278cf4d6cc9cd1babc0ebc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-10T22:45:33Z",
    "title_canon_sha256": "21a0d28694ffb0ed809f12efe9355912d6262ae6794774289ffa893dec782143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07100",
    "kind": "arxiv",
    "version": 1
  }
}