Pith Number

pith:TGKIZXRP

pith:2012:TGKIZXRPBBWSTUR2S3SWAMJQJO

not attested not anchored not stored refs pending

Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data

Euiyong Park, Masaki Kashiwara, Seok-Jin Kang

arxiv:1202.1622 v2 · 2012-02-08 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGKIZXRPBBWSTUR2S3SWAMJQJO}

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	2026-05-18T02:57:53.821199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99948cde2f086d29d23a96e56031304b85af6d06974025a899ef805cc8f23dad

Aliases

arxiv: 1202.1622 · arxiv_version: 1202.1622v2 · doi: 10.48550/arxiv.1202.1622 · pith_short_12: TGKIZXRPBBWS · pith_short_16: TGKIZXRPBBWSTUR2 · pith_short_8: TGKIZXRP

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/TGKIZXRPBBWSTUR2S3SWAMJQJO \
  | 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: 99948cde2f086d29d23a96e56031304b85af6d06974025a899ef805cc8f23dad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c82468ddb98d2e06e07924604f718ffa3a1c2633f87c86514bb9b6b3289834b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-02-08T08:27:13Z",
    "title_canon_sha256": "a834aed24906bf4c8289971ea0897c3098842842e756dde2a1b36441bf535d34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1622",
    "kind": "arxiv",
    "version": 2
  }
}