Pith Number

pith:JYFMRAB2

pith:2013:JYFMRAB25EKQBEB7QX5EWZZP4P

not attested not anchored not stored refs pending

Weak null singularities in general relativity

Jonathan Luk

arxiv:1311.4970 v3 · 2013-11-20 · gr-qc · math-ph · math.AP · 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{JYFMRAB25EKQBEB7QX5EWZZP4P}

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

Boundedness of massless scalar waves on Kerr interior backgrounds

Receipt and verification

First computed	2026-05-18T00:33:39.996943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e0ac8803ae91500903f85fa4b672fe3e7a5b6a31510a5a7e0595cce640711fa

Aliases

arxiv: 1311.4970 · arxiv_version: 1311.4970v3 · doi: 10.48550/arxiv.1311.4970 · pith_short_12: JYFMRAB25EKQ · pith_short_16: JYFMRAB25EKQBEB7 · pith_short_8: JYFMRAB2

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/JYFMRAB25EKQBEB7QX5EWZZP4P \
  | 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: 4e0ac8803ae91500903f85fa4b672fe3e7a5b6a31510a5a7e0595cce640711fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7094078c303660a5aea64a71f1db5f28d8c547dfc62ca5f532c4b48570009967",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-20T07:32:25Z",
    "title_canon_sha256": "00a74c5d37261118d0bff29049479366b5e49c5d913b9185702e6e464bcaf7e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4970",
    "kind": "arxiv",
    "version": 3
  }
}