Pith Number

pith:WBT6BC6V

pith:2012:WBT6BC6V7I3N5TA46Z7S4CG6GR

not attested not anchored not stored refs pending

Wreath Macdonald polynomials and categorical McKay correspondence

Michael Finkelberg, Roman Bezrukavnikov

arxiv:1208.3696 v5 · 2012-08-17 · math.RT · math.AG · 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{WBT6BC6V7I3N5TA46Z7S4CG6GR}

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	2026-05-18T02:31:12.340761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b067e08bd5fa36decc1cf67f2e08de346486b6469b9c92f0232232123b494f09

Aliases

arxiv: 1208.3696 · arxiv_version: 1208.3696v5 · doi: 10.48550/arxiv.1208.3696 · pith_short_12: WBT6BC6V7I3N · pith_short_16: WBT6BC6V7I3N5TA4 · pith_short_8: WBT6BC6V

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/WBT6BC6V7I3N5TA46Z7S4CG6GR \
  | 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: b067e08bd5fa36decc1cf67f2e08de346486b6469b9c92f0232232123b494f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "715da351d848e91f24b54633fd43ae725914b0d4da87051ffc377422fa8c1d34",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-17T21:27:15Z",
    "title_canon_sha256": "3967d053c43b2815b4416c137060b225c38b07c954694596ecd21eff540ed174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3696",
    "kind": "arxiv",
    "version": 5
  }
}