Pith Number

pith:SWWZWK2S

pith:2012:SWWZWK2SWERV2ZIEDCAZCDJYAQ

not attested not anchored not stored refs pending

Simplicity of algebras associated to \'etale groupoids

Aidan Sims, Cynthia Farthing, Jonathan H. Brown, Lisa Orloff Clark

arxiv:1204.3127 v2 · 2012-04-14 · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWWZWK2SWERV2ZIEDCAZCDJYAQ}

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	2026-05-18T03:10:58.467855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95ad9b2b52b1235d65041881910d380434c78030fe6ee4575715925951bd4b59

Aliases

arxiv: 1204.3127 · arxiv_version: 1204.3127v2 · doi: 10.48550/arxiv.1204.3127 · pith_short_12: SWWZWK2SWERV · pith_short_16: SWWZWK2SWERV2ZIE · pith_short_8: SWWZWK2S

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/SWWZWK2SWERV2ZIEDCAZCDJYAQ \
  | 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: 95ad9b2b52b1235d65041881910d380434c78030fe6ee4575715925951bd4b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dfb3209b549aea041c714c3f03376fcda8dc5bff7f2aabde0ce9b51763837ff",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-04-14T01:53:32Z",
    "title_canon_sha256": "d1b2568825edf0ae00fe6b2807106e6135466a4d5de3727abe6db11ba9f6a7fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3127",
    "kind": "arxiv",
    "version": 2
  }
}