Pith Number

pith:7UHGR5KN

pith:2011:7UHGR5KNIEDSEVS5V7PEZWCUV7

not attested not anchored not stored refs pending

Totally Geodesic Subalgebras of Nilpotent Lie algebras

Ana Hini\'c Gali\'c, Grant Cairns, Yuri Nikolayevsky

arxiv:1112.1288 v2 · 2011-12-06 · 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{7UHGR5KNIEDSEVS5V7PEZWCUV7}

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	2026-05-18T03:32:28.644870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0e68f54d410722565dafde4cd854afda1caf30f907c2a5ad3c4781ba096730

Aliases

arxiv: 1112.1288 · arxiv_version: 1112.1288v2 · doi: 10.48550/arxiv.1112.1288 · pith_short_12: 7UHGR5KNIEDS · pith_short_16: 7UHGR5KNIEDSEVS5 · pith_short_8: 7UHGR5KN

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/7UHGR5KNIEDSEVS5V7PEZWCUV7 \
  | 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: fd0e68f54d410722565dafde4cd854afda1caf30f907c2a5ad3c4781ba096730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f198a1ccee6553015886397730d3e2e210b2885bd1f74cb3c1059172ffb81c4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-06T14:33:27Z",
    "title_canon_sha256": "216c98f3c07ae67a827d9359e9c5f8cd7414c4312a0725e2f1166cc69c031c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1288",
    "kind": "arxiv",
    "version": 2
  }
}