Pith Number

pith:A7ZL4OQ7

pith:2019:A7ZL4OQ7BL6RIOFMR5NEIVRP5U

not attested not anchored not stored refs pending

Comparison radius and mean topological dimension: $\mathbb{Z}^d$-actions

Zhuang Niu

arxiv:1906.09171 v1 · 2019-06-21 · math.OA · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7ZL4OQ7BL6RIOFMR5NEIVRP5U}

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

Elementary amenability and almost finiteness

Receipt and verification

First computed	2026-05-17T23:42:44.306794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f2be3a1f0afd1438ac8f5a44562fed08723837767f95e278886fca96a39ea2

Aliases

arxiv: 1906.09171 · arxiv_version: 1906.09171v1 · doi: 10.48550/arxiv.1906.09171 · pith_short_12: A7ZL4OQ7BL6R · pith_short_16: A7ZL4OQ7BL6RIOFM · pith_short_8: A7ZL4OQ7

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/A7ZL4OQ7BL6RIOFMR5NEIVRP5U \
  | 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: 07f2be3a1f0afd1438ac8f5a44562fed08723837767f95e278886fca96a39ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65540c27c2118dc324baeb9b768329d409c9a7849c7b1bcfe25656d4c46e37e9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-06-21T14:47:58Z",
    "title_canon_sha256": "2bd52682e2795d1b2b892a0c44e8752683f577d4bb4f0888a329e96730e49bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09171",
    "kind": "arxiv",
    "version": 1
  }
}