Pith Number

pith:RZKGXMA6

pith:2012:RZKGXMA6O5MIT3FFUOPS7BLVBC

not attested not anchored not stored refs pending

Asymptotic dimension and small subsets in locally compact topological groups

Nadya Lyaskovska, Ostap Chervak, Taras Banakh

arxiv:1210.6747 v1 · 2012-10-25 · math.MG · math.GN · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZKGXMA6O5MIT3FFUOPS7BLVBC}

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	2026-05-18T02:32:14.596191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e546bb01e775889eca5a39f2f85750883e91a24d59d326ee301850f22467371

Aliases

arxiv: 1210.6747 · arxiv_version: 1210.6747v1 · doi: 10.48550/arxiv.1210.6747 · pith_short_12: RZKGXMA6O5MI · pith_short_16: RZKGXMA6O5MIT3FF · pith_short_8: RZKGXMA6

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/RZKGXMA6O5MIT3FFUOPS7BLVBC \
  | 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: 8e546bb01e775889eca5a39f2f85750883e91a24d59d326ee301850f22467371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fae9d03b56ad68b0ac3486b47225b3ffc54a3b402e587f81b44291e892cb2926",
    "cross_cats_sorted": [
      "math.GN",
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-10-25T06:37:25Z",
    "title_canon_sha256": "e4df7ee88b8c1f42d5b903e814363029392ea1c99cec909d17a4f24e027abf07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6747",
    "kind": "arxiv",
    "version": 1
  }
}