Pith Number

pith:OIYPO7QV

pith:2009:OIYPO7QVR3ZGXJNRORGPQZEWTH

not attested not anchored not stored refs pending

Homology and topological full groups of etale groupoids on totally disconnected spaces

Hiroki Matui

arxiv:0909.1624 v3 · 2009-09-09 · 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{OIYPO7QVR3ZGXJNRORGPQZEWTH}

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	2026-05-18T02:58:02.810075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7230f77e158ef26ba5b1744cf8649699e49d745a0d06378c2d71b86c754e1ace

Aliases

arxiv: 0909.1624 · arxiv_version: 0909.1624v3 · doi: 10.48550/arxiv.0909.1624 · pith_short_12: OIYPO7QVR3ZG · pith_short_16: OIYPO7QVR3ZGXJNR · pith_short_8: OIYPO7QV

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/OIYPO7QVR3ZGXJNRORGPQZEWTH \
  | 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: 7230f77e158ef26ba5b1744cf8649699e49d745a0d06378c2d71b86c754e1ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "434144929aadfb277c8ffc23742409ccd7d542000b84a9dac292a95ab3746a5d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-09-09T05:30:01Z",
    "title_canon_sha256": "cac1d655bd0a39aa222793c81bd640c5c059ad35bd063c337ec53639a9f21f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1624",
    "kind": "arxiv",
    "version": 3
  }
}