Pith Number

pith:ZPOLOXG4

pith:2021:ZPOLOXG4X62XAGAR2RXNDJ35FY

not attested not anchored not stored refs pending

Comparing formulas for type $GL_n$ Macdonald polynomials

Arun Ram, Weiying Guo

arxiv:2104.02942 v1 · 2021-04-07 · 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{ZPOLOXG4X62XAGAR2RXNDJ35FY}

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	2026-07-05T02:30:01.245690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbdcb75cdcbfb5701811d46ed1a77d2e1728136c0db3ab6609b702313cb25835

Aliases

arxiv: 2104.02942 · arxiv_version: 2104.02942v1 · doi: 10.48550/arxiv.2104.02942 · pith_short_12: ZPOLOXG4X62X · pith_short_16: ZPOLOXG4X62XAGAR · pith_short_8: ZPOLOXG4

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/ZPOLOXG4X62XAGAR2RXNDJ35FY \
  | 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: cbdcb75cdcbfb5701811d46ed1a77d2e1728136c0db3ab6609b702313cb25835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d72b2a0be9916471b126649189489d003d413d1261be14c613a149603e9028b9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-04-07T06:28:45Z",
    "title_canon_sha256": "7d07f8da131b7b785d4cedee2f48dbe8dafa69c2ab3a04094b4e4e0b3c3a9c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.02942",
    "kind": "arxiv",
    "version": 1
  }
}