Pith Number

pith:NKQ5ERP5

pith:2002:NKQ5ERP5WXMK5VRR7VOI46JIYP

not attested not anchored not stored refs pending

All spacetimes with vanishing curvature invariants

A. Coley, A. Pravdova, R. Milson, V. Pravda

arxiv:gr-qc/0209024 v1 · 2002-09-07 · 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{NKQ5ERP5WXMK5VRR7VOI46JIYP}

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.

Cited by

1 paper in Pith

Spacetime constructed from a contact manifold with a degenerate metric

Receipt and verification

First computed	2026-07-04T15:29:20.086638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa1d245fdb5d8aed631fd5c8e7928c3fca4775ad2d3bed1a0d73370f0df9f90

Aliases

arxiv: gr-qc/0209024 · arxiv_version: gr-qc/0209024v1 · doi: 10.48550/arxiv.gr-qc/0209024 · pith_short_12: NKQ5ERP5WXMK · pith_short_16: NKQ5ERP5WXMK5VRR · pith_short_8: NKQ5ERP5

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/NKQ5ERP5WXMK5VRR7VOI46JIYP \
  | 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: 6aa1d245fdb5d8aed631fd5c8e7928c3fca4775ad2d3bed1a0d73370f0df9f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa42740abb8dbd3c8c4b449b07310d9f683227c4c55b7f1948932ce1a3205d0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-09-07T19:46:43Z",
    "title_canon_sha256": "93ad5058159f0aa432b1d990f087ea764afdf3b7bb8b3697d6b4e55ed04ef317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0209024",
    "kind": "arxiv",
    "version": 1
  }
}