Pith Number

pith:UEC4SIOC

pith:2002:UEC4SIOCG2D3W4ER3NAODT3CBI

not attested not anchored not stored refs pending

Macdonald polynomials and algebraic integrability

Oleg Chalykh

arxiv:math/0212313 v1 · 2002-12-22 · math.QA · 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{UEC4SIOCG2D3W4ER3NAODT3CBI}

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

2 papers in Pith

Twisted Cherednik spectrum as a $q,t$-deformation

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

Receipt and verification

First computed	2026-05-18T01:05:29.175720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a105c921c23687bb7091db40e1cf620a07d76b7d5b70300e68db474dbcc01e53

Aliases

arxiv: math/0212313 · arxiv_version: math/0212313v1 · doi: 10.48550/arxiv.math/0212313 · pith_short_12: UEC4SIOCG2D3 · pith_short_16: UEC4SIOCG2D3W4ER · pith_short_8: UEC4SIOC

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/UEC4SIOCG2D3W4ER3NAODT3CBI \
  | 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: a105c921c23687bb7091db40e1cf620a07d76b7d5b70300e68db474dbcc01e53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd228b8160fd3fbd802e80623db51aea39d919184bd0f75ef5e9439240390250",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-12-22T23:53:46Z",
    "title_canon_sha256": "b431e628645d243d4be46f010d12adbbc74efc8b4e4a6aaa8cfcb07ac64e29c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212313",
    "kind": "arxiv",
    "version": 1
  }
}