Pith Number

pith:CBHMMNQ4

pith:2016:CBHMMNQ4PFFANK2LHU6YMRJSOZ

not attested not anchored not stored refs pending

Rigidity of geodesic completeness in the Brinkmann class of gravitational wave spacetimes

Ivan P. Costa e Silva, Jonatan Herrera, Jose Luis Flores

arxiv:1605.03619 v2 · 2016-05-11 · math-ph · gr-qc · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBHMMNQ4PFFANK2LHU6YMRJSOZ}

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	2026-05-18T01:12:41.826083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

104ec6361c794a06ab4b3d3d864532766db3cedbc919aaadf71fe6f0c3d08604

Aliases

arxiv: 1605.03619 · arxiv_version: 1605.03619v2 · doi: 10.48550/arxiv.1605.03619 · pith_short_12: CBHMMNQ4PFFA · pith_short_16: CBHMMNQ4PFFANK2L · pith_short_8: CBHMMNQ4

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/CBHMMNQ4PFFANK2LHU6YMRJSOZ \
  | 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: 104ec6361c794a06ab4b3d3d864532766db3cedbc919aaadf71fe6f0c3d08604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606e817998bf5ddb22ed3bb3d3500ba37a3c56b4c80dd2a38ff0c46ebc7dd486",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-05-11T20:56:06Z",
    "title_canon_sha256": "cb8e8129749a4dda38743021b5806f1bfcac1cc3326832e5d3e88e95c06ff114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03619",
    "kind": "arxiv",
    "version": 2
  }
}