Pith Number

pith:L7HXRKSK

pith:2012:L7HXRKSKSPUTKJIAGMPF7SVIHB

not attested not anchored not stored refs pending

Weyl modules and q-Whittaker functions

Alexander Braverman, Michael Finkelberg

arxiv:1203.1583 v6 · 2012-03-07 · math.RT · math.AG · math.CO · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7HXRKSKSPUTKJIAGMPF7SVIHB}

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	2026-05-18T00:29:02.141711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fcf78aa4a93e9352500331e5fcaa83875b9ba6b9a8e2da9f5720f5ba6fb1608

Aliases

arxiv: 1203.1583 · arxiv_version: 1203.1583v6 · doi: 10.48550/arxiv.1203.1583 · pith_short_12: L7HXRKSKSPUT · pith_short_16: L7HXRKSKSPUTKJIA · pith_short_8: L7HXRKSK

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/L7HXRKSKSPUTKJIAGMPF7SVIHB \
  | 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: 5fcf78aa4a93e9352500331e5fcaa83875b9ba6b9a8e2da9f5720f5ba6fb1608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "100dfe52fa7e5409fe6c9df0045929e7d1be771a8380a75845b5aefac08785ad",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-03-07T19:45:29Z",
    "title_canon_sha256": "3b30e486e711084e1344144f2aaa6e8a1f5c8dae596f44224f94c96829bafe12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1583",
    "kind": "arxiv",
    "version": 6
  }
}