Pith Number

pith:SSVCPW3W

pith:2023:SSVCPW3W7UAOHBUA3ZATUI5CR7

not attested not anchored not stored refs pending

Diagonal operators, $q$-Whittaker functions and rook theory

Michael J. Schlosser, Samrith Ram

arxiv:2309.06401 v3 · 2023-09-12 · 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{SSVCPW3W7UAOHBUA3ZATUI5CR7}

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	2026-05-26T01:02:24.472983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94aa27db76fd00e38680de413a23a28fcc437b532e382d3bef50974241913da8

Aliases

arxiv: 2309.06401 · arxiv_version: 2309.06401v3 · doi: 10.48550/arxiv.2309.06401 · pith_short_12: SSVCPW3W7UAO · pith_short_16: SSVCPW3W7UAOHBUA · pith_short_8: SSVCPW3W

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/SSVCPW3W7UAOHBUA3ZATUI5CR7 \
  | 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: 94aa27db76fd00e38680de413a23a28fcc437b532e382d3bef50974241913da8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "524e92a688e03022c9c0ba8723d4554512e4cbc5dfb49ab7575befbe6d47a683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-12T17:03:01Z",
    "title_canon_sha256": "ca33fe8b97a6dea691f12ad702ed9420fcde4cc93fdb5095a4c6afe33ccd209f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.06401",
    "kind": "arxiv",
    "version": 3
  }
}