Pith Number

pith:WX7X6YWF

pith:2017:WX7X6YWFDQX2WXB4Z7YD5TG2ZN

not attested not anchored not stored refs pending

Billiards and Tilting Characters for ${\rm SL}_3$

Geordie Williamson, George Lusztig

arxiv:1703.05898 v3 · 2017-03-17 · 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{WX7X6YWFDQX2WXB4Z7YD5TG2ZN}

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	2026-05-18T00:22:52.866098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ff7f62c51c2fab5c3ccff03eccdacb6832a4fe207ca8a4fbff01aba1d707b5

Aliases

arxiv: 1703.05898 · arxiv_version: 1703.05898v3 · doi: 10.48550/arxiv.1703.05898 · pith_short_12: WX7X6YWFDQX2 · pith_short_16: WX7X6YWFDQX2WXB4 · pith_short_8: WX7X6YWF

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/WX7X6YWFDQX2WXB4Z7YD5TG2ZN \
  | 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: b5ff7f62c51c2fab5c3ccff03eccdacb6832a4fe207ca8a4fbff01aba1d707b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca2979028ff56940fb8762e1ea6616093411e00c9b4c3592626225c407f6004d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-03-17T05:37:36Z",
    "title_canon_sha256": "a9b2b994242a401b807005e5a9a955ce06f528c1aa780bc3235b84f8844eb1bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05898",
    "kind": "arxiv",
    "version": 3
  }
}