Pith Number

pith:5KMGRTUH

pith:2014:5KMGRTUHB47CBFF7PWYRAOENJF

not attested not anchored not stored refs pending

Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras

Jairo Z. Gon\c{c}alves, Javier S\'anchez, Vitor O. Ferreira

arxiv:1406.3078 v1 · 2014-06-11 · 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{5KMGRTUHB47CBFF7PWYRAOENJF}

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	2026-05-18T02:49:53.116670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9868ce870f3e2094bf7db110388d4978698d6b38f90795b0b99d2417c8e5a2

Aliases

arxiv: 1406.3078 · arxiv_version: 1406.3078v1 · doi: 10.48550/arxiv.1406.3078 · pith_short_12: 5KMGRTUHB47C · pith_short_16: 5KMGRTUHB47CBFF7 · pith_short_8: 5KMGRTUH

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/5KMGRTUHB47CBFF7PWYRAOENJF \
  | 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: ea9868ce870f3e2094bf7db110388d4978698d6b38f90795b0b99d2417c8e5a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b621103168157ae5780c152f7c55905a743428fcd6800aa53b2aa1b8e8effbc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-06-11T22:08:44Z",
    "title_canon_sha256": "5db5c99eb9a6d625d415c0931a88872d8d4eea918784a71776d513152e944cac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3078",
    "kind": "arxiv",
    "version": 1
  }
}