Pith Number

pith:WBGDHWAU

pith:2012:WBGDHWAU2TZ6JYC2CZTYIK4LF7

not attested not anchored not stored refs pending

On certain decompositions of solvable Lie algebras

David A. Towers

arxiv:1212.0760 v2 · 2012-12-04 · math.RA · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBGDHWAU2TZ6JYC2CZTYIK4LF7}

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	2026-05-18T03:26:33.704746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b04c33d814d4f3e4e05a1667842b8b2fc47a03e2a85c19344466fa72d2ae5877

Aliases

arxiv: 1212.0760 · arxiv_version: 1212.0760v2 · doi: 10.48550/arxiv.1212.0760 · pith_short_12: WBGDHWAU2TZ6 · pith_short_16: WBGDHWAU2TZ6JYC2 · pith_short_8: WBGDHWAU

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/WBGDHWAU2TZ6JYC2CZTYIK4LF7 \
  | 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: b04c33d814d4f3e4e05a1667842b8b2fc47a03e2a85c19344466fa72d2ae5877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4e44275613beb9a50e0d54c107a20bf7cf198dbf4e978507cb7dab61d47d49c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-04T15:24:08Z",
    "title_canon_sha256": "ae514ee4ffcba22d7f0328da16783e20d6613069a5850955fcaa8bf525784daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0760",
    "kind": "arxiv",
    "version": 2
  }
}