Pith Number

pith:ZIBLGQ5F

pith:2011:ZIBLGQ5FINWGX6755AN2K5RUGT

not attested not anchored not stored refs pending

L^2-Betti Numbers of Locally Compact Groups

Henrik Densing Petersen

arxiv:1104.3294 v3 · 2011-04-17 · 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{ZIBLGQ5FINWGX6755AN2K5RUGT}

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	2026-05-18T03:32:45.641647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca02b343a5436c6bfbfde81ba5763434cdd9d120e6018752ef41f916cc7a3946

Aliases

arxiv: 1104.3294 · arxiv_version: 1104.3294v3 · doi: 10.48550/arxiv.1104.3294 · pith_short_12: ZIBLGQ5FINWG · pith_short_16: ZIBLGQ5FINWGX675 · pith_short_8: ZIBLGQ5F

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/ZIBLGQ5FINWGX6755AN2K5RUGT \
  | 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: ca02b343a5436c6bfbfde81ba5763434cdd9d120e6018752ef41f916cc7a3946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6c8d436ea96fc1d0aa0a5e23d2db66b3d2778023330efc1dbc28719a50e32ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-17T09:52:44Z",
    "title_canon_sha256": "de011640f455260e6c05cc93685dbace2f485ade5e5b06a841c70238e74666a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3294",
    "kind": "arxiv",
    "version": 3
  }
}