Pith Number

pith:QSMIZTWP

pith:2009:QSMIZTWPUZTXAQGSAMJZQAPWNU

not attested not anchored not stored refs pending

Counting reducible, powerful, and relatively irreducible multivariate polynomials over finite fields

Alfredo Viola, Joachim von zur Gathen, Konstantin Ziegler

arxiv:0912.3312 v2 · 2009-12-17 · math.AC · 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{QSMIZTWPUZTXAQGSAMJZQAPWNU}

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	2026-05-18T03:07:41.619561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84988ccecfa6677040d203139801f66d00e6970e47bac79ab93e7209c82d0605

Aliases

arxiv: 0912.3312 · arxiv_version: 0912.3312v2 · doi: 10.48550/arxiv.0912.3312 · pith_short_12: QSMIZTWPUZTX · pith_short_16: QSMIZTWPUZTXAQGS · pith_short_8: QSMIZTWP

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/QSMIZTWPUZTXAQGSAMJZQAPWNU \
  | 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: 84988ccecfa6677040d203139801f66d00e6970e47bac79ab93e7209c82d0605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7441fd3f00943263624fec795a3979550c79a31da74f65e211b9407533de4e5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-12-17T16:43:29Z",
    "title_canon_sha256": "2002eb434349aeacf08ad2b8df44214ca7d1c81062e4bd015634e49f9c048d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3312",
    "kind": "arxiv",
    "version": 2
  }
}