Pith Number

pith:KLHFGDEI

pith:2010:KLHFGDEIQ3QBLTQMTYEQRLW6KE

not attested not anchored not stored refs pending

McVittie's Legacy: Black Holes in an Expanding Universe

Damien Martin, Matthew Kleban, Nemanja Kaloper

arxiv:1003.4777 v3 · 2010-03-24 · hep-th · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLHFGDEIQ3QBLTQMTYEQRLW6KE}

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

5 papers in Pith

Black Hole Persistence in Scalar Tensor Theories

Gravitational lensing time delay beyond the Shapiro/geometry split

Cosmological Black hole Candidates: A Detailed Analysis of McVittie, Culetu, Sultana-Dyer, and Glass-Mashhoon Spacetimes

Magnetized dynamical black holes

Dynamical black holes in the inflationary epoch

Receipt and verification

First computed	2026-07-04T17:32:24.392871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ce530c8886e015ce0c9e0908aede5106b9f5578c2014265ff192a28775a5cf

Aliases

arxiv: 1003.4777 · arxiv_version: 1003.4777v3 · doi: 10.48550/arxiv.1003.4777 · pith_short_12: KLHFGDEIQ3QB · pith_short_16: KLHFGDEIQ3QBLTQM · pith_short_8: KLHFGDEI

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/KLHFGDEIQ3QBLTQMTYEQRLW6KE \
  | 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: 52ce530c8886e015ce0c9e0908aede5106b9f5578c2014265ff192a28775a5cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c12e5a2408fef7ede6db97c50925238f36b8d8f3d03cc2c754711ace6687fff",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-03-24T23:49:48Z",
    "title_canon_sha256": "14c07d1e4be9a25a848aec9ec03231961a423ba13b84c370a7480d8c10c4b183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4777",
    "kind": "arxiv",
    "version": 3
  }
}