Pith Number

pith:TNYQFIBC

pith:2024:TNYQFIBCXF7W6UDUUWNJ4H6YIW

not attested not anchored not stored refs pending

$q$-Whittaker polynomials: bases, branching and direct limits

Aritra Bhattacharya, Sankaran Viswanath, T V Ratheesh

arxiv:2412.00116 v1 · 2024-11-28 · 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{TNYQFIBCXF7W6UDUUWNJ4H6YIW}

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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

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions

Receipt and verification

First computed	2026-07-05T09:42:36.493122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7102a022b97f6f5074a59a9e1fd845b9bad5915365c8a12c89ed8d8eb1807f

Aliases

arxiv: 2412.00116 · arxiv_version: 2412.00116v1 · doi: 10.48550/arxiv.2412.00116 · pith_short_12: TNYQFIBCXF7W · pith_short_16: TNYQFIBCXF7W6UDU · pith_short_8: TNYQFIBC

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/TNYQFIBCXF7W6UDUUWNJ4H6YIW \
  | 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: 9b7102a022b97f6f5074a59a9e1fd845b9bad5915365c8a12c89ed8d8eb1807f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da500bd885c070a57442832b6b1209966678581888bc0b94fd51cee000bbb0f5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-28T07:20:35Z",
    "title_canon_sha256": "90c6310c8c01cb877f7bf59b4e424eda60fdb86252e67ec1edfa5f3fa36fed0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00116",
    "kind": "arxiv",
    "version": 1
  }
}