Pith Number

pith:DN3RESR7

pith:2014:DN3RESR7EBGXJQ2XGZCU7AOCON

not attested not anchored not stored refs pending

Universal central extensions of Lie-Rinehart algebras

Jos\'e Luis Castiglioni, Manuel Ladra, Xabier Garc\'ia-Mart\'inez

arxiv:1403.7159 v1 · 2014-03-27 · 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{DN3RESR7EBGXJQ2XGZCU7AOCON}

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	2026-05-18T02:55:26.369781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b77124a3f204d74c35736454f81c27349aa1c0ad8e2a68880b9d8b826db8cb3

Aliases

arxiv: 1403.7159 · arxiv_version: 1403.7159v1 · doi: 10.48550/arxiv.1403.7159 · pith_short_12: DN3RESR7EBGX · pith_short_16: DN3RESR7EBGXJQ2X · pith_short_8: DN3RESR7

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/DN3RESR7EBGXJQ2XGZCU7AOCON \
  | 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: 1b77124a3f204d74c35736454f81c27349aa1c0ad8e2a68880b9d8b826db8cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec512c6fa04eeb7059df7ab7608054c6e8b7aab4296e974e5fccf967a6b998dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-03-27T18:25:11Z",
    "title_canon_sha256": "c7136d74b4095879cc931f7cd3d2ebdc3e19698c8d326d2a2676963c27bd3f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7159",
    "kind": "arxiv",
    "version": 1
  }
}