Pith Number

pith:COCNSEFK

pith:2026:COCNSEFK7SEIGUFD74TRPCX7CE

not attested not anchored not stored refs pending

On invariant subalgebras of noncommutative Poisson boundaries for higher rank lattices

Shuoxing Zhou

arxiv:2607.02450 v1 · 2026-07-02 · math.OA · math.DS · 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{COCNSEFK7SEIGUFD74TRPCX7CE}

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	2026-07-03T01:17:59.512291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1384d910aafc888350a3ff27178aff110b21dfb53026197cb7e2e1312b686452

Aliases

arxiv: 2607.02450 · arxiv_version: 2607.02450v1 · doi: 10.48550/arxiv.2607.02450 · pith_short_12: COCNSEFK7SEI · pith_short_16: COCNSEFK7SEIGUFD · pith_short_8: COCNSEFK

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/COCNSEFK7SEIGUFD74TRPCX7CE \
  | 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: 1384d910aafc888350a3ff27178aff110b21dfb53026197cb7e2e1312b686452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6555f8f3a8816a65a416497998d1e6a915f4067190ae379011696e716a316dc3",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-02T17:20:11Z",
    "title_canon_sha256": "0ff689cec16873e3c878dcdf2c14e52323c13bb772406c7b2034350d2ca26446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02450",
    "kind": "arxiv",
    "version": 1
  }
}