Pith Number

pith:ESO5NOT5

pith:2011:ESO5NOT5SAUM7SLEWNSNJSIA3B

not attested not anchored not stored refs pending

Left-invariant Lorentzian flat metrics on Lie groups

Hicham Lebzioui, Malika Aitbenhaddou, Mohamed Boucetta

arxiv:1103.0650 v1 · 2011-03-03 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESO5NOT5SAUM7SLEWNSNJSIA3B}

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	2026-05-18T04:27:27.593960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

249dd6ba7d9028cfc964b364d4c900d84af25618ac89da621c3205257da65998

Aliases

arxiv: 1103.0650 · arxiv_version: 1103.0650v1 · doi: 10.48550/arxiv.1103.0650 · pith_short_12: ESO5NOT5SAUM · pith_short_16: ESO5NOT5SAUM7SLE · pith_short_8: ESO5NOT5

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/ESO5NOT5SAUM7SLEWNSNJSIA3B \
  | 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: 249dd6ba7d9028cfc964b364d4c900d84af25618ac89da621c3205257da65998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "879614c601ebe0dd61f655928423b0f744ba67d0c912d439a03c1c9c2acd8481",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-03T11:03:52Z",
    "title_canon_sha256": "9cfeb1ba9e4c9b052ba0a4b300b6b7c075e0eeffd62f3b678386219ed87c3ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0650",
    "kind": "arxiv",
    "version": 1
  }
}