Pith Number

pith:KFZQ3LFQ

pith:2014:KFZQ3LFQWAP4CYECGEBDCYXY3Z

not attested not anchored not stored refs pending

Tableau Formulas for One-Row Macdonald Polynomials of Types $C_n$ and $D_n$

Ayumu Hoshino, Boris Feigin, Jun'ichi Shiraishi, Jun Shibahara, Masatoshi Noumi

arxiv:1412.8001 v3 · 2014-12-26 · 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{KFZQ3LFQWAP4CYECGEBDCYXY3Z}

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	2026-05-18T01:25:15.976029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51730dacb0b01fc1608231023162f8de4cb2218b56e765f864eb5721d69fb487

Aliases

arxiv: 1412.8001 · arxiv_version: 1412.8001v3 · doi: 10.48550/arxiv.1412.8001 · pith_short_12: KFZQ3LFQWAP4 · pith_short_16: KFZQ3LFQWAP4CYEC · pith_short_8: KFZQ3LFQ

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/KFZQ3LFQWAP4CYECGEBDCYXY3Z \
  | 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: 51730dacb0b01fc1608231023162f8de4cb2218b56e765f864eb5721d69fb487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e254a23e9909599e7f7b97fbc7e48a1af0e86a579199821b20a814c57c04cf70",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-26T23:17:43Z",
    "title_canon_sha256": "9d7ad5ab923766e34d6791af6c7f99e29dccf762a010bc9654332a1e7efc06bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8001",
    "kind": "arxiv",
    "version": 3
  }
}