Pith Number

pith:KBRNMFKX

pith:2012:KBRNMFKX7OIQUVBWJ3YC5GFYG3

not attested not anchored not stored refs pending

Classifying complements for Hopf algebras and Lie algebras

A. L. Agore, G. Militaru

arxiv:1205.6564 v5 · 2012-05-30 · math.QA · 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{KBRNMFKX7OIQUVBWJ3YC5GFYG3}

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	2026-05-18T02:58:23.706030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5062d61557fb910a54364ef02e98b836fa0118e7fb4f55ab6fcae1f59cd02a5c

Aliases

arxiv: 1205.6564 · arxiv_version: 1205.6564v5 · doi: 10.48550/arxiv.1205.6564 · pith_short_12: KBRNMFKX7OIQ · pith_short_16: KBRNMFKX7OIQUVBW · pith_short_8: KBRNMFKX

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/KBRNMFKX7OIQUVBWJ3YC5GFYG3 \
  | 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: 5062d61557fb910a54364ef02e98b836fa0118e7fb4f55ab6fcae1f59cd02a5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7cd57d0b82450ec798413caf8265528af2df477a1547a5cd5e5994056f9838",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-05-30T07:28:38Z",
    "title_canon_sha256": "e5266440e730255208e7cb1225298034f375fdd722ac1f0a3ae85fc260c4aff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6564",
    "kind": "arxiv",
    "version": 5
  }
}