Pith Number

pith:2ADBSNWA

pith:2014:2ADBSNWA5DLM5WTXXQX7POTY3Z

not attested not anchored not stored refs pending

Okounkov's BC-type interpolation Macdonald polynomials and their q=1 limit

Tom H. Koornwinder

arxiv:1408.5993 v5 · 2014-08-26 · math.CA · 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{2ADBSNWA5DLM5WTXXQX7POTY3Z}

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	2026-05-18T01:24:30.619118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0061936c0e8d6ceda77bc2ff7ba78de781515b6bd9f880ff0a4068bf3a6a8be

Aliases

arxiv: 1408.5993 · arxiv_version: 1408.5993v5 · doi: 10.48550/arxiv.1408.5993 · pith_short_12: 2ADBSNWA5DLM · pith_short_16: 2ADBSNWA5DLM5WTX · pith_short_8: 2ADBSNWA

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/2ADBSNWA5DLM5WTXXQX7POTY3Z \
  | 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: d0061936c0e8d6ceda77bc2ff7ba78de781515b6bd9f880ff0a4068bf3a6a8be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9dcff1a0fbddff002a3db0b5f5506e9a7a840ac175e6e506a6ad0e20f2d7486",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-08-26T03:09:11Z",
    "title_canon_sha256": "2412fc9660bfad6793737218aa524bb07df358520d3a3580fc0430d94109ed95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5993",
    "kind": "arxiv",
    "version": 5
  }
}