Pith Number

pith:KZHWMI3Z

pith:2011:KZHWMI3ZNZOMA7WBAILW7WKPCL

not attested not anchored not stored refs pending

Littlewood identity and Crystal bases

Jae-Hoon Kwon

arxiv:1106.5286 v1 · 2011-06-27 · 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{KZHWMI3ZNZOMA7WBAILW7WKPCL}

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	2026-05-18T02:30:01.504755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

564f6623796e5cc07ec102176fd94f12e8dce12ea114d0a61271874bd822b933

Aliases

arxiv: 1106.5286 · arxiv_version: 1106.5286v1 · doi: 10.48550/arxiv.1106.5286 · pith_short_12: KZHWMI3ZNZOM · pith_short_16: KZHWMI3ZNZOMA7WB · pith_short_8: KZHWMI3Z

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/KZHWMI3ZNZOMA7WBAILW7WKPCL \
  | 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: 564f6623796e5cc07ec102176fd94f12e8dce12ea114d0a61271874bd822b933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0460678c3b216122e047c5ca589a994a53cc65ef4c342e2d67bd1ef97078ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-06-27T01:03:21Z",
    "title_canon_sha256": "5d4f37fa700df52c75c322d023f9d37796ce224999420bd6472bdc1241fe5e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5286",
    "kind": "arxiv",
    "version": 1
  }
}