Pith Number

pith:GXRQ3TAL

pith:2011:GXRQ3TALUG2YZBKJNBMOV2SZXV

not attested not anchored not stored refs pending

Generalized McKay Quivers, Root System and Kac-Moody Algebras

Bo Hou, Shilin Yang

arxiv:1102.3951 v1 · 2011-02-19 · math.RT · 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{GXRQ3TALUG2YZBKJNBMOV2SZXV}

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	2026-05-18T04:28:19.472425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35e30dcc0ba1b58c85496858eaea59bd436e3d558eeb498d66b15d5023139d37

Aliases

arxiv: 1102.3951 · arxiv_version: 1102.3951v1 · doi: 10.48550/arxiv.1102.3951 · pith_short_12: GXRQ3TALUG2Y · pith_short_16: GXRQ3TALUG2YZBKJ · pith_short_8: GXRQ3TAL

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/GXRQ3TALUG2YZBKJNBMOV2SZXV \
  | 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: 35e30dcc0ba1b58c85496858eaea59bd436e3d558eeb498d66b15d5023139d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06dee16ac5c797cf28ac94b77ca11575cb9abfcf84ecd2ad0efe4f00c3da86d5",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-02-19T02:12:36Z",
    "title_canon_sha256": "d8c0ce826b150242c8394018587bbe5a4d2e4e28ca278328dbda92eaf5cb7b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3951",
    "kind": "arxiv",
    "version": 1
  }
}