Pith Number

pith:5TAD2FFJ

pith:2025:5TAD2FFJOPVFWURV6WFMMBVQM2

not attested not anchored not stored refs pending

Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients

Joshua Jeishing Wen, Marino Romero

arxiv:2505.15606 v3 · 2025-05-21 · 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{5TAD2FFJOPVFWURV6WFMMBVQM2}

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.

Receipt and verification

First computed	2026-07-05T11:34:51.361710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc03d14a973ea5b5235f58ac606b0668a24d4ad0b45a655e3ecb1ba51a8fbab

Aliases

arxiv: 2505.15606 · arxiv_version: 2505.15606v3 · doi: 10.48550/arxiv.2505.15606 · pith_short_12: 5TAD2FFJOPVF · pith_short_16: 5TAD2FFJOPVFWURV · pith_short_8: 5TAD2FFJ

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/5TAD2FFJOPVFWURV6WFMMBVQM2 \
  | 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: ecc03d14a973ea5b5235f58ac606b0668a24d4ad0b45a655e3ecb1ba51a8fbab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dab686ba2bb672edb0c789d1dc4c44dfa7acff74896aea5e4b2c1082d1bd87dd",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-21T14:59:46Z",
    "title_canon_sha256": "74d3fddc763815c39e89c76d721e8d73b5385bd83b57b4e92364d896176963c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15606",
    "kind": "arxiv",
    "version": 3
  }
}