Pith Number

pith:YXM6KXS4

pith:2011:YXM6KXS4LSD7UD7DLHHRGUHZ5C

not attested not anchored not stored refs pending

Categorification of Highest Weight Modules via Khovanov-Lauda-Rouquier Algebras

Masaki Kashiwara, Seok-Jin Kang

arxiv:1102.4677 v4 · 2011-02-23 · math.QA · 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{YXM6KXS4LSD7UD7DLHHRGUHZ5C}

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	2026-05-18T01:24:04.736243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d9e55e5c5c87fa0fe359cf1350f9e8bbc86a7cb195215161213984d8864e25

Aliases

arxiv: 1102.4677 · arxiv_version: 1102.4677v4 · doi: 10.48550/arxiv.1102.4677 · pith_short_12: YXM6KXS4LSD7 · pith_short_16: YXM6KXS4LSD7UD7D · pith_short_8: YXM6KXS4

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/YXM6KXS4LSD7UD7DLHHRGUHZ5C \
  | 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: c5d9e55e5c5c87fa0fe359cf1350f9e8bbc86a7cb195215161213984d8864e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29e3117d5e19e597e65f7a5df791760f6de572232e5b77afc91d43636b28e61b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-02-23T07:39:10Z",
    "title_canon_sha256": "a6e9ff45c9c1416d25213a7309b5e02323b822aef5baf5fd2d049b62d33aa2c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4677",
    "kind": "arxiv",
    "version": 4
  }
}