Pith Number

pith:NSC7V266

pith:2012:NSC7V266VFOOIFWBX2YCD4ZRWL

not attested not anchored not stored refs pending

On groupoids with involutions and their cohomology

El-ka\"ioum M. Moutuou

arxiv:1202.0155 v2 · 2012-02-01 · math.OA · math.GN · 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{NSC7V266VFOOIFWBX2YCD4ZRWL}

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	2026-05-18T04:03:06.224070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c85faebdea95ce416c1beb021f331b2e619d484cc0df1bc622a83a0d92eea91

Aliases

arxiv: 1202.0155 · arxiv_version: 1202.0155v2 · doi: 10.48550/arxiv.1202.0155 · pith_short_12: NSC7V266VFOO · pith_short_16: NSC7V266VFOOIFWB · pith_short_8: NSC7V266

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/NSC7V266VFOOIFWBX2YCD4ZRWL \
  | 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: 6c85faebdea95ce416c1beb021f331b2e619d484cc0df1bc622a83a0d92eea91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc0cf622d2f1e060af2f16438fd13386bb43ec8cef449d06bb5b47bab68aae9",
    "cross_cats_sorted": [
      "math.GN",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-02-01T11:58:01Z",
    "title_canon_sha256": "2c9331b15d578ed5ce61b88cbbb66408c5782976b9a1aa22300aa12e3221c52f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0155",
    "kind": "arxiv",
    "version": 2
  }
}