Pith Number

pith:MZT2FTKL

pith:2018:MZT2FTKLAZNVILB3UXA7ZN4RD4

not attested not anchored not stored refs pending

The solution space to the Einstein's vacuum field equations for the case of five-dimensional Bianchi Type I (Type 4A1)

Petros A. Terzis, T. Christodoulakis, T.Pailas

arxiv:1802.09044 v1 · 2018-02-25 · 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{MZT2FTKLAZNVILB3UXA7ZN4RD4}

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	2026-05-18T00:11:06.053420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6667a2cd4b065b542c3ba5c1fcb7911f2e23cf82f706121a92e035b499b5f16d

Aliases

arxiv: 1802.09044 · arxiv_version: 1802.09044v1 · doi: 10.48550/arxiv.1802.09044 · pith_short_12: MZT2FTKLAZNV · pith_short_16: MZT2FTKLAZNVILB3 · pith_short_8: MZT2FTKL

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/MZT2FTKLAZNVILB3UXA7ZN4RD4 \
  | 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: 6667a2cd4b065b542c3ba5c1fcb7911f2e23cf82f706121a92e035b499b5f16d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "817d9fe2f9dda65fa525cbf389369f5e0245f28e223b4e0b1c560b8691fa2de0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-02-25T17:08:16Z",
    "title_canon_sha256": "d123d3fee711c053341aa49494681c5a8f308f69c33344ac2f4eb8fdcbc072ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09044",
    "kind": "arxiv",
    "version": 1
  }
}