Pith Number

pith:KGPDPLE5

pith:2008:KGPDPLE5ZCY4IQZ4EWIDYFDHHO

not attested not anchored not stored refs pending

The degenerate analogue of Ariki's categorification theorem

Alexander Kleshchev, Jonathan Brundan

arxiv:0901.0057 v1 · 2008-12-31 · 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{KGPDPLE5ZCY4IQZ4EWIDYFDHHO}

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	2026-05-18T04:33:16.231435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519e37ac9dc8b1c4433c25903c14673baedcef72f5579e2a7a57d17a486c6150

Aliases

arxiv: 0901.0057 · arxiv_version: 0901.0057v1 · doi: 10.48550/arxiv.0901.0057 · pith_short_12: KGPDPLE5ZCY4 · pith_short_16: KGPDPLE5ZCY4IQZ4 · pith_short_8: KGPDPLE5

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/KGPDPLE5ZCY4IQZ4EWIDYFDHHO \
  | 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: 519e37ac9dc8b1c4433c25903c14673baedcef72f5579e2a7a57d17a486c6150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13478754421f3cddddc0458ecbc72a13be42c73234ba39c6a227400aa41834eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-12-31T04:47:33Z",
    "title_canon_sha256": "e696f4f33c56a425e5e93f7fbf6753b6564034d27c548deb2c54bd2c50d20817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0057",
    "kind": "arxiv",
    "version": 1
  }
}