Pith Number

pith:W2KAOCBY

pith:2019:W2KAOCBYOEDMRQIWCN4YKR2MVR

not attested not anchored not stored refs pending

Connections between vector-valued and highest weight Jack and Macdonald polynomials

Charles F. Dunkl, Jean-Gabriel Luque, Laura Colmenarejo

arxiv:1907.04631 v1 · 2019-07-10 · math-ph · math.MP · 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{W2KAOCBYOEDMRQIWCN4YKR2MVR}

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	2026-05-17T23:40:57.309901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6940708387106c8c116137985474cac4c27e306648d266a27f9690053c7c1ff

Aliases

arxiv: 1907.04631 · arxiv_version: 1907.04631v1 · doi: 10.48550/arxiv.1907.04631 · pith_short_12: W2KAOCBYOEDM · pith_short_16: W2KAOCBYOEDMRQIW · pith_short_8: W2KAOCBY

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/W2KAOCBYOEDMRQIWCN4YKR2MVR \
  | 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: b6940708387106c8c116137985474cac4c27e306648d266a27f9690053c7c1ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ef62d8b219c0c460387bf2e8844251c534ee301692e539394f1476975ba06c",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-10T11:40:40Z",
    "title_canon_sha256": "8823b0838f414e42726f881d5c8485e9237591a48fd68c3b187837aa3fcc3b61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04631",
    "kind": "arxiv",
    "version": 1
  }
}