Pith Number

pith:HEWIP7JO

pith:2010:HEWIP7JOYM6WDUA5IAIEZ47MI4

not attested not anchored not stored refs pending

Kronecker multiplicities in the $(k,\ell)$ hook are polynomially bounded

Amitai Regev

arxiv:1011.1636 v1 · 2010-11-07 · 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{HEWIP7JOYM6WDUA5IAIEZ47MI4}

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	2026-05-18T04:36:50.795758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

392c87fd2ec33d61d01d40104cf3ec47255aed0f51500ed6795c44350d4a041b

Aliases

arxiv: 1011.1636 · arxiv_version: 1011.1636v1 · doi: 10.48550/arxiv.1011.1636 · pith_short_12: HEWIP7JOYM6W · pith_short_16: HEWIP7JOYM6WDUA5 · pith_short_8: HEWIP7JO

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/HEWIP7JOYM6WDUA5IAIEZ47MI4 \
  | 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: 392c87fd2ec33d61d01d40104cf3ec47255aed0f51500ed6795c44350d4a041b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b301c7075d23306dfa08b89d67117649b960e3ef5a5a0f8c1dd7b3507646b56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-11-07T13:38:42Z",
    "title_canon_sha256": "6aaf4aa12f446dda9cadcc17dcddb736e789b5b0bd10a589adeeedb0f2abceca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1636",
    "kind": "arxiv",
    "version": 1
  }
}