Pith Number

pith:EFZJDXL3

pith:2010:EFZJDXL3LQML6QJYTYK6VZ55TN

not attested not anchored not stored refs pending

A homological characterization of topological amenability

Graham A. Niblo, Jacek Brodzki, Nick J. Wright, Piotr Nowak

arxiv:1008.4154 v2 · 2010-08-24 · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFZJDXL3LQML6QJYTYK6VZ55TN}

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	2026-05-18T04:33:29.040546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217291dd7b5c18bf41389e15eae7bd9b5e3502e2a45d14642600f7cc876e69d1

Aliases

arxiv: 1008.4154 · arxiv_version: 1008.4154v2 · doi: 10.48550/arxiv.1008.4154 · pith_short_12: EFZJDXL3LQML · pith_short_16: EFZJDXL3LQML6QJY · pith_short_8: EFZJDXL3

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/EFZJDXL3LQML6QJYTYK6VZ55TN \
  | 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: 217291dd7b5c18bf41389e15eae7bd9b5e3502e2a45d14642600f7cc876e69d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0caf8c27144717b722c5a0a2a212047f44922f75ed341b90e27afb1c5c19e538",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-24T21:13:18Z",
    "title_canon_sha256": "51188bd57130fa9eb7f0a022745198f4638d2ae751cd35332568292dd96808e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4154",
    "kind": "arxiv",
    "version": 2
  }
}