Pith Number

pith:67RY7QJE

pith:2007:67RY7QJE3MH7SO63YG2YWXXKNU

not attested not anchored not stored refs pending

Brundan-Kazhdan-Lusztig and super duality conjectures

Shun-Jen Cheng, Weiqiang Wang

arxiv:0705.0050 v2 · 2007-05-01 · 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{67RY7QJE3MH7SO63YG2YWXXKNU}

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	2026-07-04T15:35:58.138178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e38fc124db0ff93bdbc1b58b5eea6d3b823f00f505227c109fb18f4c6b33af

Aliases

arxiv: 0705.0050 · arxiv_version: 0705.0050v2 · doi: 10.48550/arxiv.0705.0050 · pith_short_12: 67RY7QJE3MH7 · pith_short_16: 67RY7QJE3MH7SO63 · pith_short_8: 67RY7QJE

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/67RY7QJE3MH7SO63YG2YWXXKNU \
  | 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: f7e38fc124db0ff93bdbc1b58b5eea6d3b823f00f505227c109fb18f4c6b33af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d513c92e2b732665df066daf57f96f5eceb21f9d44224d95b130cf2b138835",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-05-01T00:47:48Z",
    "title_canon_sha256": "44e77ff900849ad5ecf37d5be9b393007c76b56a3de56c47cbc04b45f10f7919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0050",
    "kind": "arxiv",
    "version": 2
  }
}