Pith Number

pith:U2VLKFMC

pith:2015:U2VLKFMCCBPGAPVTGKMFPW5NAZ

not attested not anchored not stored refs pending

On the character of certain tilting modules

Geordie Williamson, George Lusztig

arxiv:1502.04904 v1 · 2015-02-17 · 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{U2VLKFMCCBPGAPVTGKMFPW5NAZ}

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	2026-05-18T02:26:53.569285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6aab51582105e603eb3329857dbad066c34c61c0cf8956a7f7d282c525970df

Aliases

arxiv: 1502.04904 · arxiv_version: 1502.04904v1 · doi: 10.48550/arxiv.1502.04904 · pith_short_12: U2VLKFMCCBPG · pith_short_16: U2VLKFMCCBPGAPVT · pith_short_8: U2VLKFMC

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/U2VLKFMCCBPGAPVTGKMFPW5NAZ \
  | 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: a6aab51582105e603eb3329857dbad066c34c61c0cf8956a7f7d282c525970df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91c5467ac963fcc49ee164b5d254442c4610ff83b40092222e65cd38ea7f6fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-02-17T14:37:55Z",
    "title_canon_sha256": "c838b95b011784233a873f1697f729fcd1136929f2518f6bae57f82398272928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04904",
    "kind": "arxiv",
    "version": 1
  }
}