Pith Number

pith:E4ZS2UXN

pith:2000:E4ZS2UXNE43HYXZQWM6QP6GL4H

not attested not anchored not stored refs pending

Counting integral matrices with a given characteristic polynomial

Nimish A. Shah

arxiv:math/0002179 v1 · 2000-02-22 · math.RT · 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{E4ZS2UXNE43HYXZQWM6QP6GL4H}

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	2026-05-18T04:08:43.268167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27332d52ed27367c5f30b33d07f8cbe1e5df3aa7fed97d4b1bba9c69a4f4533d

Aliases

arxiv: math/0002179 · arxiv_version: math/0002179v1 · doi: 10.48550/arxiv.math/0002179 · pith_short_12: E4ZS2UXNE43H · pith_short_16: E4ZS2UXNE43HYXZQ · pith_short_8: E4ZS2UXN

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/E4ZS2UXNE43HYXZQWM6QP6GL4H \
  | 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: 27332d52ed27367c5f30b33d07f8cbe1e5df3aa7fed97d4b1bba9c69a4f4533d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6380950ce0e77d7cb505f0eb47c6b905746ebbef9f04e7fb3086a3e1b7302053",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2000-02-22T11:00:10Z",
    "title_canon_sha256": "726becb8bf7896d19d283d2027bc68529657796c02934751870157fb16b530b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002179",
    "kind": "arxiv",
    "version": 1
  }
}