Pith Number

pith:SS46S2E6

pith:2012:SS46S2E6SQO5ISFIUTFUXLDV4V

not attested not anchored not stored refs pending

Graded Brauer groups of a groupoid with involution

El-ka\"ioum M. Moutuou

arxiv:1202.2057 v2 · 2012-02-09 · math.FA · math.GN · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SS46S2E6SQO5ISFIUTFUXLDV4V}

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	2026-05-18T02:58:22.253976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b9e9689e941dd448a8a4cb4bac75e55792391c33fa7719d859f73cc0542324

Aliases

arxiv: 1202.2057 · arxiv_version: 1202.2057v2 · doi: 10.48550/arxiv.1202.2057 · pith_short_12: SS46S2E6SQO5 · pith_short_16: SS46S2E6SQO5ISFI · pith_short_8: SS46S2E6

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/SS46S2E6SQO5ISFIUTFUXLDV4V \
  | 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: 94b9e9689e941dd448a8a4cb4bac75e55792391c33fa7719d859f73cc0542324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4174e363ed202290fadaaa12f3bd1b42a533042840e5cd1d73c7e4fe3029bc92",
    "cross_cats_sorted": [
      "math.GN",
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-09T17:39:23Z",
    "title_canon_sha256": "9aa33ee07a1d4d345ed8eb25797483995f987e5f556ed37d4621d0d62eb9a1e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2057",
    "kind": "arxiv",
    "version": 2
  }
}