Pith Number

pith:2G54I6Z6

pith:2009:2G54I6Z6FB6AVFWWHCOGUR47YF

not attested not anchored not stored refs pending

Abstract involutions of algebraic groups and of Kac-Moody groups

Bernhard Muhlherr, Max Horn, Ralf K\"ohl

arxiv:0905.1280 v2 · 2009-05-08 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2G54I6Z6FB6AVFWWHCOGUR47YF}

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	2026-05-18T02:20:20.284455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1bbc47b3e287c0a96d6389c6a479fc14b96ccde4146f6276070d146b9e74f16

Aliases

arxiv: 0905.1280 · arxiv_version: 0905.1280v2 · doi: 10.48550/arxiv.0905.1280 · pith_short_12: 2G54I6Z6FB6A · pith_short_16: 2G54I6Z6FB6AVFWW · pith_short_8: 2G54I6Z6

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/2G54I6Z6FB6AVFWWHCOGUR47YF \
  | 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: d1bbc47b3e287c0a96d6389c6a479fc14b96ccde4146f6276070d146b9e74f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16210bc774292d3f498d1862189da01922e655bdebaea190717ce4c5fc041dc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-05-08T15:05:48Z",
    "title_canon_sha256": "8eb7470fdddf95aaa5398d99bd36847de35183f48db8ecb61e19c5e18bdc9082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1280",
    "kind": "arxiv",
    "version": 2
  }
}