Pith Number

pith:EWFK4S3G

pith:2017:EWFK4S3GGYGP6S6D4J3XBYMSYE

not attested not anchored not stored refs pending

Inverse Systems of Groupoids, with Applications to Groupoid $C^*$-algebras

Kyle Austin, Magdalena C. Georgescu

arxiv:1712.05237 v3 · 2017-12-14 · math.OA · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EWFK4S3GGYGP6S6D4J3XBYMSYE}

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	2026-05-18T00:21:20.957995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

258aae4b66360cff4bc3e27770e192c10d29d37ac4c3caf8867d3ee7eb5652a7

Aliases

arxiv: 1712.05237 · arxiv_version: 1712.05237v3 · doi: 10.48550/arxiv.1712.05237 · pith_short_12: EWFK4S3GGYGP · pith_short_16: EWFK4S3GGYGP6S6D · pith_short_8: EWFK4S3G

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/EWFK4S3GGYGP6S6D4J3XBYMSYE \
  | 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: 258aae4b66360cff4bc3e27770e192c10d29d37ac4c3caf8867d3ee7eb5652a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a01251b9032a3f70b085a5fc6cdc5ba8020e49700594249e9b634a541fa5dd",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-12-14T14:11:55Z",
    "title_canon_sha256": "dbcc64855b2e5ad94ee0489e00ca41a51d62124230ed25be13a312c5db132d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05237",
    "kind": "arxiv",
    "version": 3
  }
}