Pith Number

pith:QECGGPHJ

pith:2016:QECGGPHJ66JVNXPQ5RGBRAS5YJ

not attested not anchored not stored refs pending

Locally compact groups acting on trees, the type I conjecture and non-amenable von Neumann algebras

Cyril Houdayer, Sven Raum

arxiv:1610.00884 v2 · 2016-10-04 · math.GR · math.OA · 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{QECGGPHJ66JVNXPQ5RGBRAS5YJ}

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	2026-05-18T00:56:19.228844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8104633ce9f79356ddf0ec4c18825dc24361824b6c8f2ded892477a0e2e98a3c

Aliases

arxiv: 1610.00884 · arxiv_version: 1610.00884v2 · doi: 10.48550/arxiv.1610.00884 · pith_short_12: QECGGPHJ66JV · pith_short_16: QECGGPHJ66JVNXPQ · pith_short_8: QECGGPHJ

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/QECGGPHJ66JVNXPQ5RGBRAS5YJ \
  | 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: 8104633ce9f79356ddf0ec4c18825dc24361824b6c8f2ded892477a0e2e98a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d42fa5a0e5d0db5c20775e5e08fd1c7e380f81e4bcba92fd9beb17e59040ac",
    "cross_cats_sorted": [
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-04T07:52:34Z",
    "title_canon_sha256": "65bece0dbcabb8cb090f129b0df6b567d97ef307cfd512c6ae694c42d104fdd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00884",
    "kind": "arxiv",
    "version": 2
  }
}