Pith Number

pith:ZHFT4LOW

pith:2012:ZHFT4LOWZGS4GJIPGXGUUDG7WO

not attested not anchored not stored refs pending

The McVittie solution with a negative cosmological constant

Kayll Lake, Majd Abdelqader, Philippe Landry

arxiv:1207.6350 v3 · 2012-07-26 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHFT4LOWZGS4GJIPGXGUUDG7WO}

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

Charged cosmological black holes: a thorough study of a family of solutions

Receipt and verification

First computed	2026-05-18T03:22:30.822664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9cb3e2dd6c9a5c3250f35cd4a0cdfb398472e8aea454080a58fe20fc41cd8bf

Aliases

arxiv: 1207.6350 · arxiv_version: 1207.6350v3 · doi: 10.48550/arxiv.1207.6350 · pith_short_12: ZHFT4LOWZGS4 · pith_short_16: ZHFT4LOWZGS4GJIP · pith_short_8: ZHFT4LOW

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/ZHFT4LOWZGS4GJIPGXGUUDG7WO \
  | 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: c9cb3e2dd6c9a5c3250f35cd4a0cdfb398472e8aea454080a58fe20fc41cd8bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be91b54b6b162da0fdc409b92663dcad20d5b4fb73c736c5c9be7ab8cd36e294",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-26T17:51:44Z",
    "title_canon_sha256": "c4d5d17f2a4cfdc7925ce0fb937e65968c9d2c392916a2063a0b1df8a7062dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6350",
    "kind": "arxiv",
    "version": 3
  }
}