Pith Number

pith:KGN5QD4Y

pith:2012:KGN5QD4YY5WZBH3UHA4UDDDELH

not attested not anchored not stored refs pending

Young tableaux, canonical bases and the Gindikin-Karpelevich formula

Ben Salisbury, Kyu-Hwan Lee

arxiv:1205.6006 v3 · 2012-05-27 · math.RT · 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{KGN5QD4YY5WZBH3UHA4UDDDELH}

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	2026-05-18T02:56:05.392221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519bd80f98c76d909f743839418c6459e78528e2281d012f811d9788816ae7e1

Aliases

arxiv: 1205.6006 · arxiv_version: 1205.6006v3 · doi: 10.48550/arxiv.1205.6006 · pith_short_12: KGN5QD4YY5WZ · pith_short_16: KGN5QD4YY5WZBH3U · pith_short_8: KGN5QD4Y

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/KGN5QD4YY5WZBH3UHA4UDDDELH \
  | 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: 519bd80f98c76d909f743839418c6459e78528e2281d012f811d9788816ae7e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e36c8c082538e3cd1af8f0ddff67834d2fb853890eb385ae756a1ece256392d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-05-27T21:28:18Z",
    "title_canon_sha256": "5362866d4293d4480dff0793e8bd3d3925ec82ce31c9a5decad4a50ee8ef6f62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6006",
    "kind": "arxiv",
    "version": 3
  }
}