Pith Number

pith:4TO7XSAD

pith:2022:4TO7XSADTBNHX4DVIN4WXPQ446

not attested not anchored not stored refs pending

Wreath Macdonald operators

Daniel Orr, Joshua Jeishing Wen, Mark Shimozono

arxiv:2211.03851 v3 · 2022-11-07 · math.QA · 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{4TO7XSADTBNHX4DVIN4WXPQ446}

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

Tesler identities for wreath Macdonald polynomials

Receipt and verification

First computed	2026-07-05T12:11:11.005250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ddfbc803985a7bf07543796bbe1ce799e1ff1d9d934c8746d7c33e09b64c4a

Aliases

arxiv: 2211.03851 · arxiv_version: 2211.03851v3 · doi: 10.48550/arxiv.2211.03851 · pith_short_12: 4TO7XSADTBNH · pith_short_16: 4TO7XSADTBNHX4DV · pith_short_8: 4TO7XSAD

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/4TO7XSADTBNHX4DVIN4WXPQ446 \
  | 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: e4ddfbc803985a7bf07543796bbe1ce799e1ff1d9d934c8746d7c33e09b64c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4f78b4137dfe13ca7379f8dda07167a7e504276399c5f15d57662bd624ea55",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2022-11-07T20:38:47Z",
    "title_canon_sha256": "678a81ee171582c54e71eb0264fd34fbfc8be5301272c25a010250fa6e5f6458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.03851",
    "kind": "arxiv",
    "version": 3
  }
}