Pith Number

pith:D6ZAUQUF

pith:2009:D6ZAUQUFOEGIPCHRQAVAXPKIY6

not attested not anchored not stored refs pending

Cohomology of invariant Drinfeld twists on group algebras

Christian Kassel, Pierre Guillot

arxiv:0903.2807 v2 · 2009-03-16 · math.QA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6ZAUQUFOEGIPCHRQAVAXPKIY6}

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	2026-05-18T03:36:25.457034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb20a4285710c8788f1802a0bbd48c79ae843692655b722890e33ddc880b47f

Aliases

arxiv: 0903.2807 · arxiv_version: 0903.2807v2 · doi: 10.48550/arxiv.0903.2807 · pith_short_12: D6ZAUQUFOEGI · pith_short_16: D6ZAUQUFOEGIPCHR · pith_short_8: D6ZAUQUF

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/D6ZAUQUFOEGIPCHRQAVAXPKIY6 \
  | 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: 1fb20a4285710c8788f1802a0bbd48c79ae843692655b722890e33ddc880b47f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7799baa7b9b5463cbe0caaa5576cd7fdb8e5d9e4f7826d22faf7ef940974b01",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-03-16T17:53:34Z",
    "title_canon_sha256": "05eeae168a8c48ff825f951718e65e7561c354500761d5fdc895067d3778ad96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2807",
    "kind": "arxiv",
    "version": 2
  }
}