Pith Number

pith:65LLTH2S

pith:2024:65LLTH2SQSMN6YY2LKGUFDBZ6G

not attested not anchored not stored refs pending

Macdonald characters from a new formula for Macdonald polynomials

Houcine Ben Dali, Michele D'Adderio

arxiv:2404.03904 v2 · 2024-04-05 · 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{65LLTH2SQSMN6YY2LKGUFDBZ6G}

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

A formula for the Jack super nabla operator

Receipt and verification

First computed	2026-05-20T00:01:32.089265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f756b99f528498df631a5a8d428c39f1b6b53559a072b440f2be33aee058cca0

Aliases

arxiv: 2404.03904 · arxiv_version: 2404.03904v2 · doi: 10.48550/arxiv.2404.03904 · pith_short_12: 65LLTH2SQSMN · pith_short_16: 65LLTH2SQSMN6YY2 · pith_short_8: 65LLTH2S

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/65LLTH2SQSMN6YY2LKGUFDBZ6G \
  | 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: f756b99f528498df631a5a8d428c39f1b6b53559a072b440f2be33aee058cca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec8015f32847854fa5de21d8d1f90917701c163fdf30660cb58f04db24bc2c35",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-04-05T05:57:24Z",
    "title_canon_sha256": "a7bea20d353e152d70cc125124adc1c2e2887c1336aee4cf423c4d5f3eeacf2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.03904",
    "kind": "arxiv",
    "version": 2
  }
}