Pith Number

pith:4G2VQLT5

pith:2019:4G2VQLT5VCGRMKC6ZPUVWE3MGO

not attested not anchored not stored refs pending

Totally geodesic submanifolds of Damek-Ricci spaces and Einstein hypersurfaces of the Cayley projective plane

JeongHyeong Park, Sinhwi Kim, Yuri Nikolayevsky

arxiv:1902.08396 v1 · 2019-02-22 · 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{4G2VQLT5VCGRMKC6ZPUVWE3MGO}

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	2026-05-17T23:52:57.364491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b5582e7da88d16285ecbe95b136c338e507be5c7d70006b9d80e59e3385d3a

Aliases

arxiv: 1902.08396 · arxiv_version: 1902.08396v1 · doi: 10.48550/arxiv.1902.08396 · pith_short_12: 4G2VQLT5VCGR · pith_short_16: 4G2VQLT5VCGRMKC6 · pith_short_8: 4G2VQLT5

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/4G2VQLT5VCGRMKC6ZPUVWE3MGO \
  | 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: e1b5582e7da88d16285ecbe95b136c338e507be5c7d70006b9d80e59e3385d3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79b067f463a7df02d17e749047866c4efff34f507bac2ba4c1b113aa7888851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-02-22T08:32:43Z",
    "title_canon_sha256": "4a6ad793b5c31415296e1da0b08338953028841425c5fdc9bef0436d3e944f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08396",
    "kind": "arxiv",
    "version": 1
  }
}