Pith Number

pith:Q5V2KBUL

pith:2012:Q5V2KBULSXP52HH5KECFRN3M7P

not attested not anchored not stored refs pending

On universal central extensions of Hom-Lie algebras

J. M. Casas, M. A. Insua, N. Pacheco

arxiv:1209.5887 v1 · 2012-09-26 · 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{Q5V2KBULSXP52HH5KECFRN3M7P}

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	2026-05-18T03:44:46.040578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

876ba5068b95dfdd1cfd510458b76cfbc1d01adad0f1c7129e867a587109ff46

Aliases

arxiv: 1209.5887 · arxiv_version: 1209.5887v1 · doi: 10.48550/arxiv.1209.5887 · pith_short_12: Q5V2KBULSXP5 · pith_short_16: Q5V2KBULSXP52HH5 · pith_short_8: Q5V2KBUL

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/Q5V2KBULSXP52HH5KECFRN3M7P \
  | 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: 876ba5068b95dfdd1cfd510458b76cfbc1d01adad0f1c7129e867a587109ff46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "256a4b37ebe0ff88f4fca72786bb220ed897ceab9efdd82688507ed8f0f587ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-26T09:51:04Z",
    "title_canon_sha256": "a8b87f58406aee9d5ec0da1bc81f13ed222da748611432ad526802ddf30c17ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5887",
    "kind": "arxiv",
    "version": 1
  }
}