Pith Number

pith:VGLCAWEJ

pith:2012:VGLCAWEJJNRLE5CMB353WMC2QA

not attested not anchored not stored refs pending

Clifford-Wolf translations of left invariant Randers metrics on compact Lie groups

Ming Xu, ShaoQiang Deng

arxiv:1204.5233 v1 · 2012-04-23 · 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{VGLCAWEJJNRLE5CMB353WMC2QA}

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	2026-05-18T03:57:13.688775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9962058894b62b2744c0efbbb305a802b8d493b26ea0c2cf72bc2517f576c42

Aliases

arxiv: 1204.5233 · arxiv_version: 1204.5233v1 · doi: 10.48550/arxiv.1204.5233 · pith_short_12: VGLCAWEJJNRL · pith_short_16: VGLCAWEJJNRLE5CM · pith_short_8: VGLCAWEJ

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/VGLCAWEJJNRLE5CMB353WMC2QA \
  | 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: a9962058894b62b2744c0efbbb305a802b8d493b26ea0c2cf72bc2517f576c42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1ca70c235c216895e736d6ac89f7716a3529ced33dca1ef586585e20cec08dc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-23T23:21:49Z",
    "title_canon_sha256": "13db34018800b782d250a9e5760085e5fdef70bda3773a51f6072b5ddb499848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5233",
    "kind": "arxiv",
    "version": 1
  }
}