Pith Number

pith:UC6RU6XQ

pith:2016:UC6RU6XQZTNMPPZYZPOWUZZR6H

not attested not anchored not stored refs pending

Simple graded rings, non-associative crossed products and Cayley-Dickson doublings

Johan \"Oinert, Patrik Nystedt

arxiv:1610.03844 v2 · 2016-10-12 · 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{UC6RU6XQZTNMPPZYZPOWUZZR6H}

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	2026-05-17T23:51:00.479382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0bd1a7af0ccdac7bf38cbdd6a6731f1f75a46b9a2786ac7be2230f1a8193c5d

Aliases

arxiv: 1610.03844 · arxiv_version: 1610.03844v2 · doi: 10.48550/arxiv.1610.03844 · pith_short_12: UC6RU6XQZTNM · pith_short_16: UC6RU6XQZTNMPPZY · pith_short_8: UC6RU6XQ

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/UC6RU6XQZTNMPPZYZPOWUZZR6H \
  | 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: a0bd1a7af0ccdac7bf38cbdd6a6731f1f75a46b9a2786ac7be2230f1a8193c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b31a0d629c24707df45365b3ef38262bb326362593ca84e6fa582f1fc618558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-10-12T19:58:10Z",
    "title_canon_sha256": "b7cb30b614ad936171867dddc6be4ff461b8d9cb35d39018099463d8b4ef87d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03844",
    "kind": "arxiv",
    "version": 2
  }
}