Pith Number

pith:ASVCLSEY

pith:2016:ASVCLSEYLNP5MDWFS7I65YHSZR

not attested not anchored not stored refs pending

Non-symmetric Macdonald polynomials and Demazure-Lusztig operators

Per Alexandersson

arxiv:1602.05153 v2 · 2016-02-16 · math.CO · 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{ASVCLSEYLNP5MDWFS7I65YHSZR}

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

Formulas for Koornwinder polynomials

Receipt and verification

First computed	2026-07-05T00:45:00.981534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04aa25c8985b5fd60ec597d1eee0f2cc50f66ecd9213c1e7d872e28795c5c72e

Aliases

arxiv: 1602.05153 · arxiv_version: 1602.05153v2 · doi: 10.48550/arxiv.1602.05153 · pith_short_12: ASVCLSEYLNP5 · pith_short_16: ASVCLSEYLNP5MDWF · pith_short_8: ASVCLSEY

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/ASVCLSEYLNP5MDWFS7I65YHSZR \
  | 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: 04aa25c8985b5fd60ec597d1eee0f2cc50f66ecd9213c1e7d872e28795c5c72e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c46bc6f97f363a82abc7f31db1adfb090eb7b838b8ba37c3dad3094909ee40c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-16T19:51:32Z",
    "title_canon_sha256": "94d9f45851d857c4254285a417fbb37964c96fa73c1ae623b97d27ca41194650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05153",
    "kind": "arxiv",
    "version": 2
  }
}