Pith Number

pith:W3LT3XF7

pith:2008:W3LT3XF7YW7SWGCWUJ24M43NUM

not attested not anchored not stored refs pending

Counting decomposable univariate polynomials

Joachim von zur Gathen

arxiv:0901.0054 v2 · 2008-12-31 · 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{W3LT3XF7YW7SWGCWUJ24M43NUM}

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	2026-05-17T23:53:39.419776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d73ddcbfc5bf2b1856a275c6736da323fe1bf710f76a3901c96378565695f5

Aliases

arxiv: 0901.0054 · arxiv_version: 0901.0054v2 · doi: 10.48550/arxiv.0901.0054 · pith_short_12: W3LT3XF7YW7S · pith_short_16: W3LT3XF7YW7SWGCW · pith_short_8: W3LT3XF7

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/W3LT3XF7YW7SWGCWUJ24M43NUM \
  | 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: b6d73ddcbfc5bf2b1856a275c6736da323fe1bf710f76a3901c96378565695f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41bf6dac82d0f6af0e6adf4dbeb09e467175111d8fd9680a6616cbd9aac5b85",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-12-31T18:54:13Z",
    "title_canon_sha256": "49ffa34ccccd8b9f8f5a81a4ed0961dded4b682b46907ee9e0ff98dc09ee93ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0054",
    "kind": "arxiv",
    "version": 2
  }
}