Pith Number

pith:F42LPY5Q

pith:2019:F42LPY5Q6UNU42AN3TLGFVPZAX

not attested not anchored not stored refs pending

Quadratic formulas for split quaternions

Wensheng Cao

arxiv:1905.08153 v3 · 2019-05-15 · 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{F42LPY5Q6UNU42AN3TLGFVPZAX}

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.

Cited by

1 paper in Pith

Quadratic Split Quaternion Polynomials: Factorization and Geometry

Receipt and verification

First computed	2026-07-05T01:01:34.940343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f34b7e3b0f51b4e680ddcd662d5f905fd1ed95f5caac667403cebbae7a28194

Aliases

arxiv: 1905.08153 · arxiv_version: 1905.08153v3 · doi: 10.48550/arxiv.1905.08153 · pith_short_12: F42LPY5Q6UNU · pith_short_16: F42LPY5Q6UNU42AN · pith_short_8: F42LPY5Q

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/F42LPY5Q6UNU42AN3TLGFVPZAX \
  | 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: 2f34b7e3b0f51b4e680ddcd662d5f905fd1ed95f5caac667403cebbae7a28194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ef4e4a410ac81380b54b6d646b1a99622932c4ed39529452568d83b7086380",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-05-15T01:45:37Z",
    "title_canon_sha256": "31607416852709e20256d3b5118dc93458727283d0c3d19bfb4e72f435850101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08153",
    "kind": "arxiv",
    "version": 3
  }
}