Pith Number

pith:LUDOI6PZ

pith:2012:LUDOI6PZGKLS3WUSRGQ6LLK3K3

not attested not anchored not stored refs pending

Dimension of elementary amenable groups

M. R. Bridson, P. H. Kropholler

arxiv:1208.1084 v3 · 2012-08-06 · 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{LUDOI6PZGKLS3WUSRGQ6LLK3K3}

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	2026-05-18T03:33:25.797308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d06e479f932972dda9289a1e5ad5b56f74973fc2a13c153c93108c08f106563

Aliases

arxiv: 1208.1084 · arxiv_version: 1208.1084v3 · doi: 10.48550/arxiv.1208.1084 · pith_short_12: LUDOI6PZGKLS · pith_short_16: LUDOI6PZGKLS3WUS · pith_short_8: LUDOI6PZ

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/LUDOI6PZGKLS3WUSRGQ6LLK3K3 \
  | 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: 5d06e479f932972dda9289a1e5ad5b56f74973fc2a13c153c93108c08f106563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed100d8a04bdc073e8b3da234ce855be61096d33c887dcc657875ea9b048f67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-08-06T04:59:49Z",
    "title_canon_sha256": "17657703d6cdf1d8010accd2ea2ee40c236a598942505cae737e6912b833fbbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1084",
    "kind": "arxiv",
    "version": 3
  }
}