Pith Number

pith:5UEWPFLK

pith:2011:5UEWPFLKTGD7EUKLZYW2UFSWOF

not attested not anchored not stored refs pending

The extended Conformal Einstein field equations with matter: the Einstein-Maxwell field

Christian L\"ubbe, Juan Antonio Valiente Kroon

arxiv:1102.2399 v1 · 2011-02-11 · gr-qc · 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{5UEWPFLKTGD7EUKLZYW2UFSWOF}

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	2026-05-18T02:03:11.982185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0967956a9987f2514bce2daa1656714d75a0eacc144dbfebbc5c433055ba83

Aliases

arxiv: 1102.2399 · arxiv_version: 1102.2399v1 · doi: 10.48550/arxiv.1102.2399 · pith_short_12: 5UEWPFLKTGD7 · pith_short_16: 5UEWPFLKTGD7EUKL · pith_short_8: 5UEWPFLK

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/5UEWPFLKTGD7EUKLZYW2UFSWOF \
  | 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: ed0967956a9987f2514bce2daa1656714d75a0eacc144dbfebbc5c433055ba83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ecc24baca85731a133e71f2b537e1941dd44f970cc797cf446bfd836725c05",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-11T17:24:48Z",
    "title_canon_sha256": "5f89c366d7794a7e43de609fa0a2d769d8c45d5efe05b010f6ba3ec8c08130df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2399",
    "kind": "arxiv",
    "version": 1
  }
}