Pith Number

pith:WMBRFXIP

pith:2000:WMBRFXIPMKVQNX2NGIGHJYN6RD

not attested not anchored not stored refs pending

Twist of Lie algebras by 6 dimensional subalgebra

N. Aizawa

arxiv:math/0008055 v2 · 2000-08-07 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMBRFXIPMKVQNX2NGIGHJYN6RD}

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	2026-07-04T16:21:13.696789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30312dd0f62ab06df4d320c74e1be88ee3ace70b6ed64e540a2fba644062347

Aliases

arxiv: math/0008055 · arxiv_version: math/0008055v2 · doi: 10.48550/arxiv.math/0008055 · pith_short_12: WMBRFXIPMKVQ · pith_short_16: WMBRFXIPMKVQNX2N · pith_short_8: WMBRFXIP

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/WMBRFXIPMKVQNX2NGIGHJYN6RD \
  | 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: b30312dd0f62ab06df4d320c74e1be88ee3ace70b6ed64e540a2fba644062347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d70579d6e432516ccb618eb9058616ae97c396254df01edda5be22726cc709",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-08-07T13:07:37Z",
    "title_canon_sha256": "938d6637f3984d23384030ca879fcf86f60f711c0da42121841dd62d510ddf83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008055",
    "kind": "arxiv",
    "version": 2
  }
}