Pith Number

pith:GH23567Z

pith:2004:GH23567Z3JPWAVHD57LYIFCJ3U

not attested not anchored not stored refs pending

Reissner-Nordstr\"om Metric in the Friedman-Robertson-Walker Universe

Chang Jun Gao, Shuang Nan Zhang

arxiv:gr-qc/0407045 v2 · 2004-07-13 · gr-qc · astro-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{GH23567Z3JPWAVHD57LYIFCJ3U}

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

Nonstatic Reissner-Nordstr\"om metric in the perturbative $f(R)$ theory: Embedding in the background of the FLRW cosmology, uniqueness of solutions, the TOV equation

Receipt and verification

First computed	2026-07-04T16:47:46.336660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f5befbf9da5f6054e3efd7841449dd3739d0306b3ffbb834882c09dc034f04

Aliases

arxiv: gr-qc/0407045 · arxiv_version: gr-qc/0407045v2 · doi: 10.48550/arxiv.gr-qc/0407045 · pith_short_12: GH23567Z3JPW · pith_short_16: GH23567Z3JPWAVHD · pith_short_8: GH23567Z

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/GH23567Z3JPWAVHD57LYIFCJ3U \
  | 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: 31f5befbf9da5f6054e3efd7841449dd3739d0306b3ffbb834882c09dc034f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a29cfa12c7e0ddebe481f0b5370b45845a4a80df234b651f7e6f033c225ff6",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-07-13T08:00:07Z",
    "title_canon_sha256": "bc7056ad5b280a9c9521c37935586e3d1ae3d6211eb84e2789f358a6624e71f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0407045",
    "kind": "arxiv",
    "version": 2
  }
}