Pith Number

pith:W7COXVHD

pith:2013:W7COXVHDQ7A5DZI7H7N2VOCMTB

not attested not anchored not stored refs pending

Simplicity of partial skew group rings and maximal commutativity

Daniel Gon\c{c}alves, Danilo Royer, Johan \"Oinert

arxiv:1306.4648 v2 · 2013-06-19 · math.OA · 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{W7COXVHDQ7A5DZI7H7N2VOCMTB}

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	2026-05-18T03:18:42.047158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c4ebd4e387c1d1e51f3fdbaab84c987d7790776d130fef6fc933063f2b68ea

Aliases

arxiv: 1306.4648 · arxiv_version: 1306.4648v2 · doi: 10.48550/arxiv.1306.4648 · pith_short_12: W7COXVHDQ7A5 · pith_short_16: W7COXVHDQ7A5DZI7 · pith_short_8: W7COXVHD

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/W7COXVHDQ7A5DZI7H7N2VOCMTB \
  | 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: b7c4ebd4e387c1d1e51f3fdbaab84c987d7790776d130fef6fc933063f2b68ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14efc5138db20a1ba047558bbb8920d18e6ee72401bbe2e5fb33e557b6485ad0",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-19T19:19:56Z",
    "title_canon_sha256": "67f8502b23ce37045f617224fff278aa9dc8aa62af2540d4ed52c72146f5c865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4648",
    "kind": "arxiv",
    "version": 2
  }
}