Pith Number

pith:2DREZBLP

pith:2023:2DREZBLPDY2DPSWHWJK7N43TLG

not attested not anchored not stored refs pending

The super nabla operator

Alessandro Iraci, Fran\c{c}ois Bergeron, Jim Haglund, Marino Romero

arxiv:2303.00560 v2 · 2023-03-01 · 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{2DREZBLPDY2DPSWHWJK7N43TLG}

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

Macdonald characters from a new formula for Macdonald polynomials

A formula for the Jack super nabla operator

Receipt and verification

First computed	2026-07-05T08:41:36.833114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e24c856f1e3437cac7b255f6f3735987cd0c772b71fb1006c64bae222774c1

Aliases

arxiv: 2303.00560 · arxiv_version: 2303.00560v2 · doi: 10.48550/arxiv.2303.00560 · pith_short_12: 2DREZBLPDY2D · pith_short_16: 2DREZBLPDY2DPSWH · pith_short_8: 2DREZBLP

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/2DREZBLPDY2DPSWHWJK7N43TLG \
  | 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: d0e24c856f1e3437cac7b255f6f3735987cd0c772b71fb1006c64bae222774c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ab531f44b79dbfd3c86dcc63d81940ce13ef18a9be7a88c0794e7b3c2afb3bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-01T15:04:17Z",
    "title_canon_sha256": "3897f12939eb49929c17bc4a7b0d91b59a0d560d41afd17f6c7678af552d9c78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.00560",
    "kind": "arxiv",
    "version": 2
  }
}