Pith Number

pith:JQIFQDOH

pith:2024:JQIFQDOHV7SFJCXFDR2XCJ26PI

not attested not anchored not stored refs pending

Eigenvalues of Heckman-Polychronakos operators

Charles Dunkl, Vadim Gorin

arxiv:2412.01938 v2 · 2024-12-02 · math.RT · math-ph · math.CA · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQIFQDOHV7SFJCXFDR2XCJ26PI}

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.

Cited by

1 paper in Pith

$q$-deformed Perelomov-Popov measures and quantized free probability

Receipt and verification

First computed	2026-07-05T11:54:42.830054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c10580dc7afe4548ae51c7571275e7a0e6e032df792cbf9b1fff35e217ca476

Aliases

arxiv: 2412.01938 · arxiv_version: 2412.01938v2 · doi: 10.48550/arxiv.2412.01938 · pith_short_12: JQIFQDOHV7SF · pith_short_16: JQIFQDOHV7SFJCXF · pith_short_8: JQIFQDOH

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/JQIFQDOHV7SFJCXFDR2XCJ26PI \
  | 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: 4c10580dc7afe4548ae51c7571275e7a0e6e032df792cbf9b1fff35e217ca476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0534d9de192c154bcb91e372daf2cdfef0afb1d27d615aef77c059d09009080c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-12-02T20:00:36Z",
    "title_canon_sha256": "91256de54e013f04546e38a58e1d4124e8fe23a1bb18a360973f15b108d390de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01938",
    "kind": "arxiv",
    "version": 2
  }
}