Pith Number

pith:4K3BIHEE

pith:2010:4K3BIHEEFYLMFGRLU6R3UYUIOQ

not attested not anchored not stored refs pending

Homogeneous Einstein metrics on the generalized flag manifold Sp(n)/(U(p) x U(n-p))

Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane

arxiv:1010.4472 v1 · 2010-10-21 · 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{4K3BIHEEFYLMFGRLU6R3UYUIOQ}

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	2026-05-18T00:53:16.146026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b6141c842e16c29a2ba7a3ba6288742dadd156b1e7c7c6397b26b3515cd50c

Aliases

arxiv: 1010.4472 · arxiv_version: 1010.4472v1 · doi: 10.48550/arxiv.1010.4472 · pith_short_12: 4K3BIHEEFYLM · pith_short_16: 4K3BIHEEFYLMFGRL · pith_short_8: 4K3BIHEE

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/4K3BIHEEFYLMFGRLU6R3UYUIOQ \
  | 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: e2b6141c842e16c29a2ba7a3ba6288742dadd156b1e7c7c6397b26b3515cd50c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c73494cb463eefeb05fe3fe885fe98e7dd3511bb01fcebca40117e561604ef04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-21T13:54:21Z",
    "title_canon_sha256": "d3a52b8688ff81759401462400b4ed582fafcf9b75d88feb75735bdb8621b4ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4472",
    "kind": "arxiv",
    "version": 1
  }
}