Pith Number

pith:VVNWLYIW

pith:2008:VVNWLYIWYQQBTIBEUENHE72KL6

not attested not anchored not stored refs pending

Totally geodesic submanifolds of the exceptional Riemannian symmetric spaces of rank 2

Sebastian Klein

arxiv:0809.1319 v1 · 2008-09-08 · 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{VVNWLYIWYQQBTIBEUENHE72KL6}

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	2026-05-18T04:31:22.809847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5b65e116c42019a024a11a727f4a5f96efc1174441cf1735d3c64a0f18aa67

Aliases

arxiv: 0809.1319 · arxiv_version: 0809.1319v1 · doi: 10.48550/arxiv.0809.1319 · pith_short_12: VVNWLYIWYQQB · pith_short_16: VVNWLYIWYQQBTIBE · pith_short_8: VVNWLYIW

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/VVNWLYIWYQQBTIBEUENHE72KL6 \
  | 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: ad5b65e116c42019a024a11a727f4a5f96efc1174441cf1735d3c64a0f18aa67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8749905a407fb31924ec6e9a2ea7185cb00a7e0d211211e3a00828c38ad5d4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-09-08T11:54:46Z",
    "title_canon_sha256": "d0078c182f6b7767683fc98901b49f365e58cb6663d1fb8848d4672f91af7850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1319",
    "kind": "arxiv",
    "version": 1
  }
}