Pith Number

pith:ML53RO4P

pith:2013:ML53RO4PRJV3XUJPSETLQ3PZ2S

not attested not anchored not stored refs pending

Crystal $\Bla$ in $B(\infty)$ for $G_2$ type Lie Algebra

Hyeonmi Lee, Min Kyu Kim

arxiv:1310.6211 v1 · 2013-10-23 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ML53RO4PRJV3XUJPSETLQ3PZ2S}

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	2026-05-18T03:09:21.034600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62fbb8bb8f8a6bbbd12f9126b86df9d4a7a21eb16ad352a68a29234dca1aa210

Aliases

arxiv: 1310.6211 · arxiv_version: 1310.6211v1 · doi: 10.48550/arxiv.1310.6211 · pith_short_12: ML53RO4PRJV3 · pith_short_16: ML53RO4PRJV3XUJP · pith_short_8: ML53RO4P

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/ML53RO4PRJV3XUJPSETLQ3PZ2S \
  | 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: 62fbb8bb8f8a6bbbd12f9126b86df9d4a7a21eb16ad352a68a29234dca1aa210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c0c9aa0ddd598abbc9666043cf19aecf55abb9a69278922479ff9b907f579e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-10-23T13:01:29Z",
    "title_canon_sha256": "b05751ddb72675d10c0af01dd554e76c9e8ef11562d8845b60350bf87f2b91b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6211",
    "kind": "arxiv",
    "version": 1
  }
}