Pith Number

pith:V2Q7J4C6

pith:2011:V2Q7J4C6IMCNYZCYBYNDTVYUIW

not attested not anchored not stored refs pending

Open subgroups of locally compact Kac-Moody groups

Pierre-Emmanuel Caprace, Timoth\'ee Marquis

arxiv:1108.4934 v2 · 2011-08-24 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2Q7J4C6IMCNYZCYBYNDTVYUIW}

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	2026-05-18T03:33:12.102448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea1f4f05e4304dc64580e1a39d714458043153b93d17a977c5282edc65ae3b6

Aliases

arxiv: 1108.4934 · arxiv_version: 1108.4934v2 · doi: 10.48550/arxiv.1108.4934 · pith_short_12: V2Q7J4C6IMCN · pith_short_16: V2Q7J4C6IMCNYZCY · pith_short_8: V2Q7J4C6

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/V2Q7J4C6IMCNYZCYBYNDTVYUIW \
  | 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: aea1f4f05e4304dc64580e1a39d714458043153b93d17a977c5282edc65ae3b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "302960e4bfff85f22b83aa234899ba6c827005e94e4c42d9b39b1075a156dfa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-24T20:04:29Z",
    "title_canon_sha256": "42b844a3b9cdf1d9b2e71a90d06e6a3d7d2f6cf2f0019ba1ce46179bbde1cf8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4934",
    "kind": "arxiv",
    "version": 2
  }
}