Pith Number

pith:Q5KQX6EZ

pith:2013:Q5KQX6EZB7KY7BR4G374UNR3IO

not attested not anchored not stored refs pending

Clifford-Wolf homogeneous left invariant $(\alpha,\beta)$-metrics on compact semi-simple Lie groups

Ming Xu, ShaoQiang Deng

arxiv:1301.1813 v2 · 2013-01-09 · 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{Q5KQX6EZB7KY7BR4G374UNR3IO}

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	2026-05-18T03:05:44.624871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87550bf8990fd58f863c36ffca363b4382101eb1562e737a29682ec0a487f2b0

Aliases

arxiv: 1301.1813 · arxiv_version: 1301.1813v2 · doi: 10.48550/arxiv.1301.1813 · pith_short_12: Q5KQX6EZB7KY · pith_short_16: Q5KQX6EZB7KY7BR4 · pith_short_8: Q5KQX6EZ

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/Q5KQX6EZB7KY7BR4G374UNR3IO \
  | 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: 87550bf8990fd58f863c36ffca363b4382101eb1562e737a29682ec0a487f2b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cbfe153424f71df7971297003f5ec277390e545b24603f5d5843d7d55703e01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-09T11:10:32Z",
    "title_canon_sha256": "84518f126607761005bfc90bfda6d391629c182a5722e8dcc0c75abbaa4a9676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1813",
    "kind": "arxiv",
    "version": 2
  }
}