Pith Number

pith:GV4K7GZV

pith:2008:GV4K7GZVWQIRH47FLWYQPL2RBT

not attested not anchored not stored refs pending

A diagrammatic approach to categorification of quantum groups I

Aaron D. Lauda, Mikhail Khovanov

arxiv:0803.4121 v2 · 2008-03-28 · 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{GV4K7GZVWQIRH47FLWYQPL2RBT}

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.

Cited by

1 paper in Pith

Big data approach to Kazhdan-Lusztig polynomials

Receipt and verification

First computed	2026-07-05T10:03:36.238477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3578af9b35b41113f3e55db107af510cf2f71642b3d2fd42627044a1b72c9c5c

Aliases

arxiv: 0803.4121 · arxiv_version: 0803.4121v2 · doi: 10.48550/arxiv.0803.4121 · pith_short_12: GV4K7GZVWQIR · pith_short_16: GV4K7GZVWQIRH47F · pith_short_8: GV4K7GZV

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/GV4K7GZVWQIRH47FLWYQPL2RBT \
  | 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: 3578af9b35b41113f3e55db107af510cf2f71642b3d2fd42627044a1b72c9c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c57cc668243827779410961cc304ade5adc9973c25d048d5b3c8ef3899c70d0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-03-28T14:13:53Z",
    "title_canon_sha256": "f7590818881e0a98d1baa2110381e57b3078a4e7584a5bea4362c10621d5bd67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.4121",
    "kind": "arxiv",
    "version": 2
  }
}