Pith Number

pith:HKLFVNZE

pith:2011:HKLFVNZETJUWXPEYBSC5SH3EQK

not attested not anchored not stored refs pending

On Two-generated Non-commutative Algebras Subject to the Affine Relation

Christoph Koutschan, Oleksandr Motsak, Viktor Levandovskyy

arxiv:1108.1108 v1 · 2011-08-04 · cs.SC · 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{HKLFVNZETJUWXPEYBSC5SH3EQK}

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	2026-05-18T04:16:12.665171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a965ab7249a696bbc980c85d91f648282489b5d4810cf7c5d93646debca2836

Aliases

arxiv: 1108.1108 · arxiv_version: 1108.1108v1 · doi: 10.48550/arxiv.1108.1108 · pith_short_12: HKLFVNZETJUW · pith_short_16: HKLFVNZETJUWXPEY · pith_short_8: HKLFVNZE

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/HKLFVNZETJUWXPEYBSC5SH3EQK \
  | 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: 3a965ab7249a696bbc980c85d91f648282489b5d4810cf7c5d93646debca2836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81e799daac68f18bbcfe57d8d6ce6ba5a6cf47802f9f338d9dbb1ddb5dbf9bf4",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2011-08-04T14:56:43Z",
    "title_canon_sha256": "df362b11473de9689d5473569ea622696204d196377d3804e675e4ff036a2dc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1108",
    "kind": "arxiv",
    "version": 1
  }
}