Pith Number

pith:CCSZDUOI

pith:2018:CCSZDUOIKVYXZCEJKZW5PGWZ6M

not attested not anchored not stored refs pending

Factorization Results for Left Polynomials in Some Associative Real Algebras: State of the Art, Applications, and Open Questions

Daniel F. Scharler, Hans-Peter Schr\"ocker, Zijia Li

arxiv:1803.06194 v6 · 2018-03-16 · math.RA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCSZDUOIKVYXZCEJKZW5PGWZ6M}

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	2026-05-18T00:04:39.569586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a591d1c855717c8889566dd79ad9f32851b3d3a15f56d12de02d5d8e278941

Aliases

arxiv: 1803.06194 · arxiv_version: 1803.06194v6 · doi: 10.48550/arxiv.1803.06194 · pith_short_12: CCSZDUOIKVYX · pith_short_16: CCSZDUOIKVYXZCEJ · pith_short_8: CCSZDUOI

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/CCSZDUOIKVYXZCEJKZW5PGWZ6M \
  | 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: 10a591d1c855717c8889566dd79ad9f32851b3d3a15f56d12de02d5d8e278941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a83b5bd20847d82de61853ed1b0c2e89711d53d8d789304cf1fc36012f570cb8",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-03-16T12:42:55Z",
    "title_canon_sha256": "7c5716f0965f0a01e3e459209de4ac398f04120b5f54e7bdfb31bbe36fa358be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06194",
    "kind": "arxiv",
    "version": 6
  }
}