Pith Number

pith:OR52T4QI

pith:2016:OR52T4QIUC66NLK4FCQ7U2JPQR

not attested not anchored not stored refs pending

A crystal embedding into Lusztig data of type $A$

Jae-Hoon Kwon

arxiv:1606.06804 v2 · 2016-06-22 · math.RT · math.CO · 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{OR52T4QIUC66NLK4FCQ7U2JPQR}

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	2026-05-17T23:41:37.533109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

747ba9f208a0bde6ad5c28a1fa692f84661f6a01bc28752e4f9c37e9453076f0

Aliases

arxiv: 1606.06804 · arxiv_version: 1606.06804v2 · doi: 10.48550/arxiv.1606.06804 · pith_short_12: OR52T4QIUC66 · pith_short_16: OR52T4QIUC66NLK4 · pith_short_8: OR52T4QI

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/OR52T4QIUC66NLK4FCQ7U2JPQR \
  | 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: 747ba9f208a0bde6ad5c28a1fa692f84661f6a01bc28752e4f9c37e9453076f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167e47ef4cb726c77548243b74be895370015ab5303d7f1633334bc3e11bed3d",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-06-22T02:01:28Z",
    "title_canon_sha256": "23030834a18e367e4b5f4ecbf550634fb1842777610ad0fb238a22862ecbb347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06804",
    "kind": "arxiv",
    "version": 2
  }
}