Pith Number

pith:MCX5YWSK

pith:2018:MCX5YWSK6NJMFFNJ6UNHOY3DOO

not attested not anchored not stored refs pending

Ample groupoids: equivalence, homology, and Matui's HK conjecture

Aidan Sims, Alex Kumjian, Carla Farsi, David Pask

arxiv:1808.07807 v1 · 2018-08-23 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCX5YWSK6NJMFFNJ6UNHOY3DOO}

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	2026-05-18T00:07:24.234950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60afdc5a4af352c295a9f51a776363738b7826619a482707908a2fb9df709566

Aliases

arxiv: 1808.07807 · arxiv_version: 1808.07807v1 · doi: 10.48550/arxiv.1808.07807 · pith_short_12: MCX5YWSK6NJM · pith_short_16: MCX5YWSK6NJMFFNJ · pith_short_8: MCX5YWSK

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/MCX5YWSK6NJMFFNJ6UNHOY3DOO \
  | 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: 60afdc5a4af352c295a9f51a776363738b7826619a482707908a2fb9df709566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e324fc7b69d2bfc10d5b66936771af7d6ad38f8f2b8a4ea819349b889ed52e",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-08-23T15:31:44Z",
    "title_canon_sha256": "c8c346d30fa8984df309ba7c3b82065600f40280871b15a21f8cd13a91e78522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07807",
    "kind": "arxiv",
    "version": 1
  }
}