Pith Number

pith:RT7U6UGA

pith:2012:RT7U6UGAQW62VENMAIZBJ3GF5Y

not attested not anchored not stored refs pending

Symmetric and nonsymmetric Hall-Littlewood polynomials of type BC

Vidya Venkateswaran

arxiv:1209.2933 v2 · 2012-09-13 · math.RT · 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{RT7U6UGAQW62VENMAIZBJ3GF5Y}

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	2026-05-18T01:35:28.410322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cff4f50c085bdaa91ac023214ecc5ee2f3d48b86daafa1447e56a4a01135548

Aliases

arxiv: 1209.2933 · arxiv_version: 1209.2933v2 · doi: 10.48550/arxiv.1209.2933 · pith_short_12: RT7U6UGAQW62 · pith_short_16: RT7U6UGAQW62VENM · pith_short_8: RT7U6UGA

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/RT7U6UGAQW62VENMAIZBJ3GF5Y \
  | 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: 8cff4f50c085bdaa91ac023214ecc5ee2f3d48b86daafa1447e56a4a01135548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab9bb2846f2191ee66e4f4bfaefb15cd8e1baf5c42f9d05fd64c0ec45b9cc84",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-13T15:35:49Z",
    "title_canon_sha256": "e539edf4471f96484f53e246721767b8e04635694ba2150e60f83afdccde6885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2933",
    "kind": "arxiv",
    "version": 2
  }
}