Pith Number

pith:JBBEFF4C

pith:2019:JBBEFF4CYNUKTETO5O6JVCRFTX

not attested not anchored not stored refs pending

On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2

Ernst Dieterich

arxiv:1908.06811 v1 · 2019-08-19 · 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{JBBEFF4CYNUKTETO5O6JVCRFTX}

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	2026-07-04T23:58:19.577769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4842429782c368a9926eebbc9a8a259de8f3a816eabf29166e7b33fa9810bc17

Aliases

arxiv: 1908.06811 · arxiv_version: 1908.06811v1 · doi: 10.48550/arxiv.1908.06811 · pith_short_12: JBBEFF4CYNUK · pith_short_16: JBBEFF4CYNUKTETO · pith_short_8: JBBEFF4C

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/JBBEFF4CYNUKTETO5O6JVCRFTX \
  | 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: 4842429782c368a9926eebbc9a8a259de8f3a816eabf29166e7b33fa9810bc17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40723cfef5d862a86fcd613cd255f827e2e8a0c438f06966c03493b9cf36308e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-19T14:05:46Z",
    "title_canon_sha256": "fa7e590b842a8c9b8a2999181bfe40be9ee4ebc4e331570936c0f680a585cdbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06811",
    "kind": "arxiv",
    "version": 1
  }
}