Pith Number

pith:37HSFDKO

pith:2025:37HSFDKORPTXF46NNMW57FLQYV

not attested not anchored not stored refs pending

A tableaux formula for $q$-rook numbers

Aritra Bhattacharya, Tirtharaj Basu

arxiv:2507.00766 v1 · 2025-07-01 · math.CO · 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{37HSFDKORPTXF46NNMW57FLQYV}

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	2026-07-05T11:30:14.136727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfcf228d4e8be772f3cd6b2ddf9570c55fae40d98ea216e9f6cae06fa8c147ed

Aliases

arxiv: 2507.00766 · arxiv_version: 2507.00766v1 · doi: 10.48550/arxiv.2507.00766 · pith_short_12: 37HSFDKORPTX · pith_short_16: 37HSFDKORPTXF46N · pith_short_8: 37HSFDKO

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/37HSFDKORPTXF46NNMW57FLQYV \
  | 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: dfcf228d4e8be772f3cd6b2ddf9570c55fae40d98ea216e9f6cae06fa8c147ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b92776715897528a3d0e880ec1ec1fe95a8d344340540ad4e6ed3b6da2fbd874",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-01T14:06:58Z",
    "title_canon_sha256": "4762999c50d8f1265dba638372795d20ad20a32c6e45f5ebaec1d897159a0d9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00766",
    "kind": "arxiv",
    "version": 1
  }
}