Pith Number

pith:L6NO5X2T

pith:2013:L6NO5X2TYBB5MAUWBUMY52G2LB

not attested not anchored not stored refs pending

On the univeral \alpha-central extensions of the semi-direct product of Hom-Leibniz algebras

J. M. Casas, N Pacheco Regon

arxiv:1309.5204 v1 · 2013-09-20 · 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{L6NO5X2TYBB5MAUWBUMY52G2LB}

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	2026-05-18T03:12:47.262927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f9aeedf53c043d602960d198ee8da5851dfaf41b4e10da3b9a0041706577138

Aliases

arxiv: 1309.5204 · arxiv_version: 1309.5204v1 · doi: 10.48550/arxiv.1309.5204 · pith_short_12: L6NO5X2TYBB5 · pith_short_16: L6NO5X2TYBB5MAUW · pith_short_8: L6NO5X2T

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/L6NO5X2TYBB5MAUWBUMY52G2LB \
  | 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: 5f9aeedf53c043d602960d198ee8da5851dfaf41b4e10da3b9a0041706577138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2bce5b5696cb9ca790fd0f7b8600e044be1b2f17d112c9d0349756100a2b702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-09-20T08:28:01Z",
    "title_canon_sha256": "e0f9cb7e1e80dca093ba18136b9c841eb8fe401920bed7e67d9198dd87331dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5204",
    "kind": "arxiv",
    "version": 1
  }
}