Pith Number

pith:PSFSHL5A

pith:2021:PSFSHL5ASROVBQXDI6FR62H4OB

not attested not anchored not stored refs pending

Singularities, black holes, and cosmic censorship: A tribute to Roger Penrose

Klaas Landsman

arxiv:2101.02687 v2 · 2021-01-07 · 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{PSFSHL5ASROVBQXDI6FR62H4OB}

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

Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes

Receipt and verification

First computed	2026-07-05T02:31:48.826978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c8b23afa0945d50c2e3478b1f68fc706c7e5e002f4a5e35a2ac9d4a35fb11c5

Aliases

arxiv: 2101.02687 · arxiv_version: 2101.02687v2 · doi: 10.48550/arxiv.2101.02687 · pith_short_12: PSFSHL5ASROV · pith_short_16: PSFSHL5ASROVBQXD · pith_short_8: PSFSHL5A

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/PSFSHL5ASROVBQXDI6FR62H4OB \
  | 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: 7c8b23afa0945d50c2e3478b1f68fc706c7e5e002f4a5e35a2ac9d4a35fb11c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2f2270ebe57e81349fda8fed940617c628bae4e7d7e0f69f2907f42208f68d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-01-07T18:48:49Z",
    "title_canon_sha256": "1a72cd20d447342b04340bfadf4450df283b2b90ee4c4ba770355e9fb88fb240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.02687",
    "kind": "arxiv",
    "version": 2
  }
}