Pith Number

pith:O3QV3F7O

pith:2011:O3QV3F7OBMC2NNIGQ6J2EAEG6Y

not attested not anchored not stored refs pending

The etale groupoid of an inverse semigroup as a groupoid of filters

B. Steinberg, M. V. Lawson, S. W. Margolis

arxiv:1106.5198 v3 · 2011-06-26 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3QV3F7OBMC2NNIGQ6J2EAEG6Y}

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	2026-05-18T04:01:51.001450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76e15d97ee0b05a6b5068793a20086f62183f46ac6985ec462f3eefe3b7b59ed

Aliases

arxiv: 1106.5198 · arxiv_version: 1106.5198v3 · doi: 10.48550/arxiv.1106.5198 · pith_short_12: O3QV3F7OBMC2 · pith_short_16: O3QV3F7OBMC2NNIG · pith_short_8: O3QV3F7O

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/O3QV3F7OBMC2NNIGQ6J2EAEG6Y \
  | 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: 76e15d97ee0b05a6b5068793a20086f62183f46ac6985ec462f3eefe3b7b59ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86a30548ed1f989e970095791aa296892c94fb36ef569917a652dfb6437e78d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-06-26T08:23:05Z",
    "title_canon_sha256": "8a158981613629dca60eaba097a50cd9332ac9ff99ea600405287cd470c605bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5198",
    "kind": "arxiv",
    "version": 3
  }
}