Pith Number

pith:YPXNGUTJ

pith:2011:YPXNGUTJO5PKQQH5YJJVCIV33U

not attested not anchored not stored refs pending

The double sign of a real division algebra of finite dimension greater than one

Erik Darp\"o, Ernst Dieterich

arxiv:1110.2572 v1 · 2011-10-12 · 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{YPXNGUTJO5PKQQH5YJJVCIV33U}

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	2026-05-18T04:11:08.007290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3eed35269775ea840fdc2535122bbdd0b58e63afb5d58dc44d80839eee51f7c

Aliases

arxiv: 1110.2572 · arxiv_version: 1110.2572v1 · doi: 10.48550/arxiv.1110.2572 · pith_short_12: YPXNGUTJO5PK · pith_short_16: YPXNGUTJO5PKQQH5 · pith_short_8: YPXNGUTJ

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/YPXNGUTJO5PKQQH5YJJVCIV33U \
  | 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: c3eed35269775ea840fdc2535122bbdd0b58e63afb5d58dc44d80839eee51f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c8e93e089c601588f163f252475493d1efa596fbc9c874f9ef8b50d2280caa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-10-12T06:16:33Z",
    "title_canon_sha256": "c16a6714d89bfd4c8b6f0098d67e18a8d0afa2db4fa86525a50e37384ae38aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2572",
    "kind": "arxiv",
    "version": 1
  }
}