Pith Number

pith:ODGBUYNU

pith:2026:ODGBUYNUFGPYO35V5IRU36POGI

not attested not anchored not stored refs pending

Formulas for Koornwinder polynomials

Arun Ram, Laura Colmenarejo, Lucas Gagnon

arxiv:2608.02810 v1 · 2026-08-03 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODGBUYNUFGPYO35V5IRU36POGI}

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	2026-08-05T00:40:16.921932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70cc1a61b4299f876fb5ea234df9ee3212c3dec7b7f3bb118f46726275647985

Aliases

arxiv: 2608.02810 · arxiv_version: 2608.02810v1 · doi: 10.48550/arxiv.2608.02810 · pith_short_12: ODGBUYNUFGPY · pith_short_16: ODGBUYNUFGPYO35V · pith_short_8: ODGBUYNU

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/ODGBUYNUFGPYO35V5IRU36POGI \
  | 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: 70cc1a61b4299f876fb5ea234df9ee3212c3dec7b7f3bb118f46726275647985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caf595351780e51ccbf87db24c67b959f93acecf31f1cc90ab57245906757604",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-03T19:05:42Z",
    "title_canon_sha256": "8034431692261c9674fbd3e2cf450c88523b5b3ed9eee70a8594fb14b830acd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02810",
    "kind": "arxiv",
    "version": 1
  }
}