Pith Number

pith:UNZAVJQ3

pith:1996:UNZAVJQ3G7XGCBM7E2H2JO4557

not attested not anchored not stored refs pending

Affine Hecke algebras and raising operators for Macdonald polynomials

Anatol N. Kirillov, Masatoshi Noumi

arxiv:q-alg/9605004 v1 · 1996-05-04 · q-alg · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNZAVJQ3G7XGCBM7E2H2JO4557}

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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

Non-commutative creation operators for symmetric polynomials

Receipt and verification

First computed	2026-07-04T15:09:08.091175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3720aa61b37ee61059f268fa4bb9defc4468f0bd8c37159c0afe4369a3f199e

Aliases

arxiv: q-alg/9605004 · arxiv_version: q-alg/9605004v1 · doi: 10.48550/arxiv.q-alg/9605004 · pith_short_12: UNZAVJQ3G7XG · pith_short_16: UNZAVJQ3G7XGCBM7 · pith_short_8: UNZAVJQ3

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/UNZAVJQ3G7XGCBM7E2H2JO4557 \
  | 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: a3720aa61b37ee61059f268fa4bb9defc4468f0bd8c37159c0afe4369a3f199e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5be3746822bd6be82ab9cf562e290ed2cb902adc9d7f1027e19053acb23a64e8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-05-04T09:56:36Z",
    "title_canon_sha256": "53702ea8783b1112dba8bf4c53c61467fdc6921c0114be3f12f8def6c374d3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9605004",
    "kind": "arxiv",
    "version": 1
  }
}