Pith Number

pith:F3ZGB4Q3

pith:2018:F3ZGB4Q3QMSVVVMBT5DCKTUC2F

not attested not anchored not stored refs pending

Hom-Lie structures on Kac-Moody algebras

Abdenacer Makhlouf, Pasha Zusmanovich

arxiv:1805.00187 v3 · 2018-05-01 · 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{F3ZGB4Q3QMSVVVMBT5DCKTUC2F}

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	2026-05-17T23:41:18.088927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef260f21b83255ad5819f46254e82d166102a562b8d47ec0dfed023f53253c2

Aliases

arxiv: 1805.00187 · arxiv_version: 1805.00187v3 · doi: 10.48550/arxiv.1805.00187 · pith_short_12: F3ZGB4Q3QMSV · pith_short_16: F3ZGB4Q3QMSVVVMB · pith_short_8: F3ZGB4Q3

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/F3ZGB4Q3QMSVVVMBT5DCKTUC2F \
  | 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: 2ef260f21b83255ad5819f46254e82d166102a562b8d47ec0dfed023f53253c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dadf2370e0db5706a3e94b8fb11f74cad2b07048c1b3bf800a3a507c0db1a3d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-05-01T04:57:57Z",
    "title_canon_sha256": "f7164cf245ba26ab5ce51566b8139f729bb3adba40d922d0065631e53e13547a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00187",
    "kind": "arxiv",
    "version": 3
  }
}