Pith Number

pith:7KN75SPL

pith:2010:7KN75SPL64GEX5BYQP5NVPKBDW

not attested not anchored not stored refs pending

Future geodesic completeness of some spatially homogeneous solutions of the vacuum Einstein equations in higher dimensions

Alan D. Rendall, Arne Goedeke

arxiv:1002.1851 v2 · 2010-02-09 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KN75SPL64GEX5BYQP5NVPKBDW}

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	2026-05-18T02:09:10.878484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9bfec9ebf70c4bf43883fadabd411dbe313769866928d2420ac130d04ec7ff

Aliases

arxiv: 1002.1851 · arxiv_version: 1002.1851v2 · doi: 10.48550/arxiv.1002.1851 · pith_short_12: 7KN75SPL64GE · pith_short_16: 7KN75SPL64GEX5BY · pith_short_8: 7KN75SPL

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/7KN75SPL64GEX5BYQP5NVPKBDW \
  | 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: fa9bfec9ebf70c4bf43883fadabd411dbe313769866928d2420ac130d04ec7ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c51ad4682b0394b389ee474553f7a049dbb3e82d5002e4a6b5b853d7306abb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-02-09T13:38:36Z",
    "title_canon_sha256": "d25f0b23624d52c449d9471a7416ecf9365b86416a8a45bb8560bb16fe990816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1851",
    "kind": "arxiv",
    "version": 2
  }
}