Pith Number

pith:PI27JMCK

pith:2022:PI27JMCKZY2XBZQ5ZATQZ5XNDQ

not attested not anchored not stored refs pending

Solutions of the Einstein equations for a black hole surrounded by a galactic halo

A. Zhidenko, R. A. Konoplya

arxiv:2202.02205 v3 · 2022-02-04 · gr-qc · astro-ph.GA · 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{PI27JMCKZY2XBZQ5ZATQZ5XNDQ}

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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

6 papers in Pith

Astrophysical environment around a black hole in the braneworld and its optical signatures

Mass-Varying Dark Matter Induced Scalarization and Scalar Clouds around Black Holes

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms

Dark matter and modified gravity: Einstein clusters from a non-minimally coupled vector field

Two types of quasinormal modes of Casadio-Fabbri-Mazzacurati brane-world black holes

Receipt and verification

First computed	2026-07-05T04:39:28.826988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a35f4b04ace3570e61dc8270cf6ed1c09c7912d7cd5fc0e75340d9bd3447496

Aliases

arxiv: 2202.02205 · arxiv_version: 2202.02205v3 · doi: 10.48550/arxiv.2202.02205 · pith_short_12: PI27JMCKZY2X · pith_short_16: PI27JMCKZY2XBZQ5 · pith_short_8: PI27JMCK

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/PI27JMCKZY2XBZQ5ZATQZ5XNDQ \
  | 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: 7a35f4b04ace3570e61dc8270cf6ed1c09c7912d7cd5fc0e75340d9bd3447496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8decf5af46d6595070259e138e5d443fe1937b233cfb38a9e0a983c91dc6646e",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-02-04T15:52:56Z",
    "title_canon_sha256": "131a208aaca796f23b1b19a5469549e6a92826cb2d26e0c4b54d049e5746fa46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.02205",
    "kind": "arxiv",
    "version": 3
  }
}