Pith Number

pith:4DPGPML2

pith:2021:4DPGPML2AACYY3PF3VVOJUXQKF

not attested not anchored not stored refs pending

Charmenability of higher rank arithmetic groups

Cyril Houdayer, R\'emi Boutonnet, Uri Bader

arxiv:2112.01337 v3 · 2021-12-02 · math.OA · math.DS · math.GR · 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{4DPGPML2AACYY3PF3VVOJUXQKF}

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.

Cited by

1 paper in Pith

Uniformly recurrent subalgebras in finite von Neumann algebras

Receipt and verification

First computed	2026-07-05T11:37:58.384829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0de67b17a00058c6de5dd6ae4d2f051784bc7e915f3e743abd71c8026b4de61

Aliases

arxiv: 2112.01337 · arxiv_version: 2112.01337v3 · doi: 10.48550/arxiv.2112.01337 · pith_short_12: 4DPGPML2AACY · pith_short_16: 4DPGPML2AACYY3PF · pith_short_8: 4DPGPML2

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/4DPGPML2AACYY3PF3VVOJUXQKF \
  | 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: e0de67b17a00058c6de5dd6ae4d2f051784bc7e915f3e743abd71c8026b4de61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e608ee7caa6b26840b1da77a63faffd9120df5bc6c1fc24388f904676bbe639",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-12-02T15:36:47Z",
    "title_canon_sha256": "9450f3fcf0a2c9ea91df4d778472ca911bcd6e65e28db7eb2b282d1997ae6699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01337",
    "kind": "arxiv",
    "version": 3
  }
}