Pith Number

pith:RMQDPIFR

pith:2025:RMQDPIFR2NAFNLHRE5L46G4E5S

not attested not anchored not stored refs pending

Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule

Kuo-Han Ku, Saintan Wu, Sen-Peng Eu, Yu-Sheng Shih

arxiv:2509.16872 v2 · 2025-09-21 · 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{RMQDPIFR2NAFNLHRE5L46G4E5S}

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	2026-05-29T01:04:55.826825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b2037a0b1d34056acf12757cf1b84ecbd8f851aa39f29a37fbfd494623a2eb5

Aliases

arxiv: 2509.16872 · arxiv_version: 2509.16872v2 · doi: 10.48550/arxiv.2509.16872 · pith_short_12: RMQDPIFR2NAF · pith_short_16: RMQDPIFR2NAFNLHR · pith_short_8: RMQDPIFR

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/RMQDPIFR2NAFNLHRE5L46G4E5S \
  | 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: 8b2037a0b1d34056acf12757cf1b84ecbd8f851aa39f29a37fbfd494623a2eb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a77217896f6b625bfca712087e0568565594bc1f3e4cfaca763c4e1c034084",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-21T01:47:43Z",
    "title_canon_sha256": "a9da81e310d3e827680d106ea34aa33c43f18aa9a471461c41a52f86ac9f0178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.16872",
    "kind": "arxiv",
    "version": 2
  }
}