Pith Number

pith:FJNHJPKY

pith:2025:FJNHJPKYSYA7GQJCDD4LL6WVOX

not attested not anchored not stored refs pending

Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements

Jang Soo Kim, Meesue Yoo, Seung Jin Lee

arxiv:2506.23082 v1 · 2025-06-29 · 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{FJNHJPKYSYA7GQJCDD4LL6WVOX}

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

A tableaux formula for $q$-rook numbers

Receipt and verification

First computed	2026-07-05T11:28:50.670981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5a74bd589601f3412218f8b5fad575e6ff4ccd9ca467c9a7a05b8c02ef048d

Aliases

arxiv: 2506.23082 · arxiv_version: 2506.23082v1 · doi: 10.48550/arxiv.2506.23082 · pith_short_12: FJNHJPKYSYA7 · pith_short_16: FJNHJPKYSYA7GQJC · pith_short_8: FJNHJPKY

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/FJNHJPKYSYA7GQJCDD4LL6WVOX \
  | 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: 2a5a74bd589601f3412218f8b5fad575e6ff4ccd9ca467c9a7a05b8c02ef048d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb7a62ef187c654334a2204d9e4b8902e8c64901d55e26144e325993b9ebcb4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-29T04:24:11Z",
    "title_canon_sha256": "23f88cb6ebeb102a3a6e3836d6aeeaa60c4b9be80bc170cc353a9162a1d5c2e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23082",
    "kind": "arxiv",
    "version": 1
  }
}