Pith Number

pith:NZQHH4HV

pith:2021:NZQHH4HVIOA5YQSW63NTS7VQDH

not attested not anchored not stored refs pending

Gravitational axial perturbations of Schwarzschild-like black holes in dark matter halos

Anzhong Wang, Chao Zhang, Tao Zhu

arxiv:2111.04966 v3 · 2021-11-09 · gr-qc · astro-ph.HE · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZQHH4HVIOA5YQSW63NTS7VQDH}

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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

5 papers in Pith

Nonradial oscillations of realistic anisotropic neutron stars: Axial modes

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

On the universality of late-time ringdown tail

Strong-field signatures of a regular black hole in an Einasto dark matter halo

Nonradial oscillations of realistic anisotropic neutron stars: Axial modes

Receipt and verification

First computed	2026-07-05T03:55:31.096026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e6073f0f54381dc4256f6db397eb019e0c899fadb83384115eaddadd720d7c6

Aliases

arxiv: 2111.04966 · arxiv_version: 2111.04966v3 · doi: 10.48550/arxiv.2111.04966 · pith_short_12: NZQHH4HVIOA5 · pith_short_16: NZQHH4HVIOA5YQSW · pith_short_8: NZQHH4HV

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/NZQHH4HVIOA5YQSW63NTS7VQDH \
  | 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: 6e6073f0f54381dc4256f6db397eb019e0c899fadb83384115eaddadd720d7c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e323435fd733878c867fdc05407b9c886650c2745ea5d66635df822f64a26e5",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-09T06:44:03Z",
    "title_canon_sha256": "81fa58bc212ae9d3fb4bcaef4cf476348028175ef5aeff3a6c9ba26c950817f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04966",
    "kind": "arxiv",
    "version": 3
  }
}