Pith Number

pith:L5ZFSJGS

pith:2010:L5ZFSJGST2JDHYYZZLYQH7R6EV

not attested not anchored not stored refs pending

Vanishing integrals for Hall-Littlewood polynomials

Vidya Venkateswaran

arxiv:1011.4734 v2 · 2010-11-22 · 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{L5ZFSJGST2JDHYYZZLYQH7R6EV}

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	2026-05-18T03:50:59.339131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f725924d29e9233e319caf103fe3e25447039989e4bf47af4fad74c227568a8

Aliases

arxiv: 1011.4734 · arxiv_version: 1011.4734v2 · doi: 10.48550/arxiv.1011.4734 · pith_short_12: L5ZFSJGST2JD · pith_short_16: L5ZFSJGST2JDHYYZ · pith_short_8: L5ZFSJGS

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/L5ZFSJGST2JDHYYZZLYQH7R6EV \
  | 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: 5f725924d29e9233e319caf103fe3e25447039989e4bf47af4fad74c227568a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28261adfb87092613e4fc677dde1697b032868a94ebd7df51bff81d89df947a9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-22T05:49:56Z",
    "title_canon_sha256": "bf71dccc96be2f83f50092d54c7f6393f67de0e205d4a22afec1652d4aaf9ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4734",
    "kind": "arxiv",
    "version": 2
  }
}