Pith Number

pith:UBHOJKTZ

pith:2005:UBHOJKTZBE4R2X7ZM7CZBWAYGM

not attested not anchored not stored refs pending

Counting with rational generating functions

Kevin Woods, Sven Verdoolaege

arxiv:math/0504059 v2 · 2005-04-04 · 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{UBHOJKTZBE4R2X7ZM7CZBWAYGM}

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	2026-05-18T02:16:39.599791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a04ee4aa7909391d5ff967c590d818330d12a6c48182ec335ba40402d26701c0

Aliases

arxiv: math/0504059 · arxiv_version: math/0504059v2 · doi: 10.48550/arxiv.math/0504059 · pith_short_12: UBHOJKTZBE4R · pith_short_16: UBHOJKTZBE4R2X7Z · pith_short_8: UBHOJKTZ

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/UBHOJKTZBE4R2X7ZM7CZBWAYGM \
  | 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: a04ee4aa7909391d5ff967c590d818330d12a6c48182ec335ba40402d26701c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34c9c6dfa3c28440bf73482da09bb31833f497ebc593aede50c162358c2431f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-04-04T17:57:11Z",
    "title_canon_sha256": "e28ec58de329674041e7bf64417a505a774787bb2d7d31a01435fdd2a3461177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504059",
    "kind": "arxiv",
    "version": 2
  }
}