Pith Number

pith:KINJZC3J

pith:2009:KINJZC3JXUKUP3CP5WM5AIDZMC

not attested not anchored not stored refs pending

Twisting algebras using non-commutative torsors

Akira Masuoka, Christian Kassel, Pierre Guillot

arxiv:0911.5287 v3 · 2009-11-27 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KINJZC3JXUKUP3CP5WM5AIDZMC}

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	2026-05-18T03:36:25.438727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

521a9c8b69bd1547ec4fed99d020796089c5c0e663fe69eb4f9f4526e7e931e3

Aliases

arxiv: 0911.5287 · arxiv_version: 0911.5287v3 · doi: 10.48550/arxiv.0911.5287 · pith_short_12: KINJZC3JXUKU · pith_short_16: KINJZC3JXUKUP3CP · pith_short_8: KINJZC3J

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/KINJZC3JXUKUP3CP5WM5AIDZMC \
  | 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: 521a9c8b69bd1547ec4fed99d020796089c5c0e663fe69eb4f9f4526e7e931e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28684fe2aa89ce3cf56a7c53eb98b55e2a2630a64fbee4aa4608b1de1f5b029a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-11-27T15:27:08Z",
    "title_canon_sha256": "6c703b18d4ff3ecf22c8f90cdb51c7156167c3416a5eb4152c2bc922b171756e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5287",
    "kind": "arxiv",
    "version": 3
  }
}