Pith Number

pith:47ZTZHI4

pith:2015:47ZTZHI4UERTFL7HCISBDFFUZO

not attested not anchored not stored refs pending

Vacuum space-times with controlled singularities and without symmetries

Paul Klinger, Piotr T. Chru\'sciel

arxiv:1507.00158 v2 · 2015-07-01 · 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{47ZTZHI4UERTFL7HCISBDFFUZO}

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	2026-05-18T01:34:15.802895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7f33c9d1ca12332afe712241194b4cbb2124e4e0a53bde2d8472998b8aad297

Aliases

arxiv: 1507.00158 · arxiv_version: 1507.00158v2 · doi: 10.48550/arxiv.1507.00158 · pith_short_12: 47ZTZHI4UERT · pith_short_16: 47ZTZHI4UERTFL7H · pith_short_8: 47ZTZHI4

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/47ZTZHI4UERTFL7HCISBDFFUZO \
  | 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: e7f33c9d1ca12332afe712241194b4cbb2124e4e0a53bde2d8472998b8aad297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e7fff6bf60d0750618461d0798c09308155943d50ababac5df6ab7a844a9d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-07-01T09:27:31Z",
    "title_canon_sha256": "adc52b667e105d424b45740d61244c277f9c0e9f9d4e16ef2a9eba420e3df845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00158",
    "kind": "arxiv",
    "version": 2
  }
}