Pith Number

pith:UHV5N2P6

pith:2023:UHV5N2P6FK6TMBMMSN5EPV6FEI

not attested not anchored not stored refs pending

A Geometric Realization of Partially-Symmetric Macdonald Polynomials

Ben Goodberry, Daniel Orr

arxiv:2312.11657 v2 · 2023-12-18 · math.CO · math.QA · 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{UHV5N2P6FK6TMBMMSN5EPV6FEI}

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

Flagged LLT polynomials, nonsymmetric plethysm, and nonsymmetric Macdonald polynomials

Receipt and verification

First computed	2026-07-05T09:20:38.874884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ebd6e9fe2abd36058c937a47d7c52231e3eeeafe72006542f46302859b4308

Aliases

arxiv: 2312.11657 · arxiv_version: 2312.11657v2 · doi: 10.48550/arxiv.2312.11657 · pith_short_12: UHV5N2P6FK6T · pith_short_16: UHV5N2P6FK6TMBMM · pith_short_8: UHV5N2P6

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/UHV5N2P6FK6TMBMMSN5EPV6FEI \
  | 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: a1ebd6e9fe2abd36058c937a47d7c52231e3eeeafe72006542f46302859b4308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5002321520f05aca1f85c6bb34d59504dde7a7ade15bc66f914318a47cbdefed",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-18T19:11:42Z",
    "title_canon_sha256": "3337cdf01eb9da05e13a9e8737658234973d6a285666501f4f03c516b4b82bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.11657",
    "kind": "arxiv",
    "version": 2
  }
}