Pith Number

pith:X43NDY3T

pith:2024:X43NDY3THKV7B632YGAJBYDOU7

not attested not anchored not stored refs pending

Lusztig sheaves and integrable highest weight modules in the symmetrizable case

Jie Xiao, Yixin Lan, Yumeng Wu

arxiv:2411.09188 v3 · 2024-11-14 · math.RT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X43NDY3THKV7B632YGAJBYDOU7}

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	2026-06-30T01:16:22.166977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf36d1e3733aabf0fb7ac18090e06ea7e64ff711d36d336d5f1599ed787b5398

Aliases

arxiv: 2411.09188 · arxiv_version: 2411.09188v3 · doi: 10.48550/arxiv.2411.09188 · pith_short_12: X43NDY3THKV7 · pith_short_16: X43NDY3THKV7B632 · pith_short_8: X43NDY3T

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/X43NDY3THKV7B632YGAJBYDOU7 \
  | 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: bf36d1e3733aabf0fb7ac18090e06ea7e64ff711d36d336d5f1599ed787b5398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f820154f112fcd4668750849e6cd19f1e686cd04ada6426a3b6f9ca4c50ba8e2",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-11-14T05:01:10Z",
    "title_canon_sha256": "d5bd72fcf0aaafbf4b68825af3337b5a178fb1ded8b4fb4d51a5538448eac174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09188",
    "kind": "arxiv",
    "version": 3
  }
}