Pith Number

pith:5MWDW6ZU

pith:2024:5MWDW6ZUYGQZ47SAZQWN6US6CX

not attested not anchored not stored refs pending

Noncommutative topological boundaries and amenable invariant random intermediate subalgebras

Shuoxing Zhou

arxiv:2407.10905 v4 · 2024-07-15 · 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{5MWDW6ZUYGQZ47SAZQWN6US6CX}

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

On dense orbits in the space of subequivalence relations

Receipt and verification

First computed	2026-07-05T11:43:56.151438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2c3b7b34c1a19e7e40cc2cdf525e15ce2096473505aba0be7481457a8ebf9c

Aliases

arxiv: 2407.10905 · arxiv_version: 2407.10905v4 · doi: 10.48550/arxiv.2407.10905 · pith_short_12: 5MWDW6ZUYGQZ · pith_short_16: 5MWDW6ZUYGQZ47SA · pith_short_8: 5MWDW6ZU

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/5MWDW6ZUYGQZ47SAZQWN6US6CX \
  | 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: eb2c3b7b34c1a19e7e40cc2cdf525e15ce2096473505aba0be7481457a8ebf9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1219491a94f5b6e684d152171e7c89e20d03b4cdcc916d41ecd401a373136841",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-07-15T16:59:18Z",
    "title_canon_sha256": "fd8d4918038366d42becbb12baa40738a4c2dc4b681d53e8d93b90a2cf163a93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.10905",
    "kind": "arxiv",
    "version": 4
  }
}