Pith Number

pith:XJRU34E2

pith:2009:XJRU34E2ZTFGCRINPOWFDOQN7W

not attested not anchored not stored refs pending

Imbedding of Lie triple systems into Lie algebras

Oleg Smirnov

arxiv:0906.1170 v1 · 2009-06-05 · math.RA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJRU34E2ZTFGCRINPOWFDOQN7W}

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	2026-07-04T15:43:23.629352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba634df09accca61450d7bac51ba0dfda1ee3a8801d376c7e85b101a6b080916

Aliases

arxiv: 0906.1170 · arxiv_version: 0906.1170v1 · doi: 10.48550/arxiv.0906.1170 · pith_short_12: XJRU34E2ZTFG · pith_short_16: XJRU34E2ZTFGCRIN · pith_short_8: XJRU34E2

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/XJRU34E2ZTFGCRINPOWFDOQN7W \
  | 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: ba634df09accca61450d7bac51ba0dfda1ee3a8801d376c7e85b101a6b080916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "310bb3612f2406c64630a7fc532c58c69ddcbdbd76868efb53fe03aa1fc1fffb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-06-05T17:25:56Z",
    "title_canon_sha256": "6fa8276d8c53df9a54a251f3d7bce7c7508467798e8c8756ecc78244bc3d21d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1170",
    "kind": "arxiv",
    "version": 1
  }
}