Pith Number

pith:YCU7BQOL

pith:2022:YCU7BQOLBH4E7MF5LA7ZYWPH24

not attested not anchored not stored refs pending

Penrose's 1965 singularity theorem: From geodesic incompleteness to cosmic censorship

Klaas Landsman

arxiv:2205.01680 v4 · 2022-05-03 · physics.hist-ph · gr-qc · math-ph · 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{YCU7BQOLBH4E7MF5LA7ZYWPH24}

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

3 papers in Pith

Primordial Black Holes: A Review of Formation and Evolution

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-07-05T05:05:33.348478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a9f0c1cb09f84fb0bd583f9c59e7d737eaa91258e3ebbac792e3adf1205015

Aliases

arxiv: 2205.01680 · arxiv_version: 2205.01680v4 · doi: 10.48550/arxiv.2205.01680 · pith_short_12: YCU7BQOLBH4E · pith_short_16: YCU7BQOLBH4E7MF5 · pith_short_8: YCU7BQOL

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/YCU7BQOLBH4E7MF5LA7ZYWPH24 \
  | 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: c0a9f0c1cb09f84fb0bd583f9c59e7d737eaa91258e3ebbac792e3adf1205015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ff286d4b015cda5b137d65fafe37b8f08151c0e783b2116b68640decb9ea0a7",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2022-05-03T10:31:50Z",
    "title_canon_sha256": "3590f9b93b186ebd1001ddaee9e7813e6ac453918e5eeb7483b8488b73c65af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.01680",
    "kind": "arxiv",
    "version": 4
  }
}