Pith Number

pith:PH4WVM55

pith:2000:PH4WVM55HY3ZMFEWNRPOTBS324

not attested not anchored not stored refs pending

Vacuum spacetimes with an isometry

Carlos F. Sopuerta, Francesc Fayos

arxiv:gr-qc/0012008 v1 · 2000-12-03 · 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{PH4WVM55HY3ZMFEWNRPOTBS324}

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	2026-05-18T00:37:16.855026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f96ab3bd3e379614966c5ee9865bd707e8dde9717166fdbafbb17c086c19e2

Aliases

arxiv: gr-qc/0012008 · arxiv_version: gr-qc/0012008v1 · doi: 10.48550/arxiv.gr-qc/0012008 · pith_short_12: PH4WVM55HY3Z · pith_short_16: PH4WVM55HY3ZMFEW · pith_short_8: PH4WVM55

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/PH4WVM55HY3ZMFEWNRPOTBS324 \
  | 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: 79f96ab3bd3e379614966c5ee9865bd707e8dde9717166fdbafbb17c086c19e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b953f62400d12f1f42348b11f4bc9e8f7a4122393f6de176f556026b0406eb3c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-03T15:45:11Z",
    "title_canon_sha256": "5a1207fe6ea5d67425d073d744f3e3d8adafc69c5e819df551a8d68c5d2ed31d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012008",
    "kind": "arxiv",
    "version": 1
  }
}