Pith Number

pith:YWSUUKHY

pith:2012:YWSUUKHYH74CHP4XZTUHVEHSYU

not attested not anchored not stored refs pending

Double automorphisms of graded Lie algebras

Cristina Acciarri, Pavel Shumyatsky

arxiv:1207.1323 v1 · 2012-07-05 · math.RA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWSUUKHYH74CHP4XZTUHVEHSYU}

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	2026-05-18T03:51:46.331292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a54a28f83ff823bf97cce87a90f2c50dd25e36b87da70b0fe128a720af2e2b

Aliases

arxiv: 1207.1323 · arxiv_version: 1207.1323v1 · doi: 10.48550/arxiv.1207.1323 · pith_short_12: YWSUUKHYH74C · pith_short_16: YWSUUKHYH74CHP4X · pith_short_8: YWSUUKHY

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/YWSUUKHYH74CHP4XZTUHVEHSYU \
  | 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: c5a54a28f83ff823bf97cce87a90f2c50dd25e36b87da70b0fe128a720af2e2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35cb84bb47eb6ae8d1d909c32618afb7fe58791bf36b7be79238b3dc4a4f6b30",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-05T18:38:22Z",
    "title_canon_sha256": "469c3d1ffb082ec0f61fd385566ff71492ea49488bbe600280251e88415f4285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1323",
    "kind": "arxiv",
    "version": 1
  }
}