Pith Number

pith:JZA7JSWT

pith:2010:JZA7JSWTXGPI3HETZWYZJG46VU

not attested not anchored not stored refs pending

Fundamental representations and algebraic properties of biquaternions or complexified quaternions

Nicolas Le Bihan, Stephen J. Sangwine, Todd A. Ell

arxiv:1001.0240 v1 · 2010-01-01 · 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{JZA7JSWTXGPI3HETZWYZJG46VU}

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	2026-05-18T01:39:56.918370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e41f4cad3b99e8d9c93cdb1949b9ead1f90428ed64f25771ff2aacbc7faf1aa

Aliases

arxiv: 1001.0240 · arxiv_version: 1001.0240v1 · doi: 10.48550/arxiv.1001.0240 · pith_short_12: JZA7JSWTXGPI · pith_short_16: JZA7JSWTXGPI3HET · pith_short_8: JZA7JSWT

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/JZA7JSWTXGPI3HETZWYZJG46VU \
  | 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: 4e41f4cad3b99e8d9c93cdb1949b9ead1f90428ed64f25771ff2aacbc7faf1aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa3e8b5a501ae4e09cd3dd8072085704b0efc2cf6b8df6728c4c4b976492bdbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-01-01T17:24:25Z",
    "title_canon_sha256": "3aafb36393a2318bf44a80d0a589ddcf77646a35dbc8e1b6c0b90aa9c6f40b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0240",
    "kind": "arxiv",
    "version": 1
  }
}