Pith Number

pith:F446GQMZ

pith:2026:F446GQMZVDMB254X5ILJFBHHB7

not attested not anchored not stored refs pending

Cuspidal character sheaves on graded exceptional Lie algebras: stable gradings

Ting Xue

arxiv:2605.21039 v1 · 2026-05-20 · 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{F446GQMZVDMB254X5ILJFBHHB7}

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	2026-05-21T01:05:33.643415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f39e34199a8d81d7797ea169284e70ff81b831d17abd679f592d6b24285a738

Aliases

arxiv: 2605.21039 · arxiv_version: 2605.21039v1 · doi: 10.48550/arxiv.2605.21039 · pith_short_12: F446GQMZVDMB · pith_short_16: F446GQMZVDMB254X · pith_short_8: F446GQMZ

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/F446GQMZVDMB254X5ILJFBHHB7 \
  | 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: 2f39e34199a8d81d7797ea169284e70ff81b831d17abd679f592d6b24285a738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bded6952349955a755d73b185618e465e48553bc1bcec964e36548441e7ccf2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-20T11:21:20Z",
    "title_canon_sha256": "105014775050490a5d4ba054cb2656cd1c890b7d4639eec60dabec22a90ae4ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21039",
    "kind": "arxiv",
    "version": 1
  }
}