Pith Number

pith:UIKOBYYG

pith:2024:UIKOBYYG7HTMVIOPCUV7KQPBFM

not attested not anchored not stored refs pending

Dunkl and Cherednik operators

Oleg Chalykh

arxiv:2409.09005 v1 · 2024-09-13 · 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{UIKOBYYG7HTMVIOPCUV7KQPBFM}

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

Eigenvalues of Heckman-Polychronakos operators

Receipt and verification

First computed	2026-07-05T09:49:09.994906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a214e0e306f9e6caa1cf152bf541e12b0400c91a8eecce807481e5de7e9e36ec

Aliases

arxiv: 2409.09005 · arxiv_version: 2409.09005v1 · doi: 10.48550/arxiv.2409.09005 · pith_short_12: UIKOBYYG7HTM · pith_short_16: UIKOBYYG7HTMVIOP · pith_short_8: UIKOBYYG

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/UIKOBYYG7HTMVIOPCUV7KQPBFM \
  | 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: a214e0e306f9e6caa1cf152bf541e12b0400c91a8eecce807481e5de7e9e36ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbaa67dd289cb339d0634cfc4bfab21639b2db5cdfb537ca5e33015d5a70016e",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-09-13T17:36:47Z",
    "title_canon_sha256": "d20992edc073a2eaa0667a64a5f9ff345c21456e48a4cbda831722c715876e77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.09005",
    "kind": "arxiv",
    "version": 1
  }
}