Pith Number

pith:JM4QPZY7

pith:2016:JM4QPZY7QRFA5G7X5C36D5L4LX

not attested not anchored not stored refs pending

A natural extension of the universal enveloping algebra functor to crossed modules of Leibniz algebras

Manuel Ladra, Rafael F. Casado, Xabier Garc\'ia-Mart\'inez

arxiv:1603.06562 v1 · 2016-03-21 · 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{JM4QPZY7QRFA5G7X5C36D5L4LX}

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	2026-05-18T01:18:48.264908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3907e71f844a0e9bf7e8b7e1f57c5dd27ba4a8eb04b21b0b91e98c7a904f87

Aliases

arxiv: 1603.06562 · arxiv_version: 1603.06562v1 · doi: 10.48550/arxiv.1603.06562 · pith_short_12: JM4QPZY7QRFA · pith_short_16: JM4QPZY7QRFA5G7X · pith_short_8: JM4QPZY7

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/JM4QPZY7QRFA5G7X5C36D5L4LX \
  | 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: 4b3907e71f844a0e9bf7e8b7e1f57c5dd27ba4a8eb04b21b0b91e98c7a904f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d04fd1ed10fa654cce8f46c4f8ee2a788b899763f7983da88f2887da66780a37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-03-21T19:53:14Z",
    "title_canon_sha256": "650574f3efb116ecc19fe2de5b01718ff18da52fd014ad85291a7a108c05fce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06562",
    "kind": "arxiv",
    "version": 1
  }
}