Pith Number

pith:YJXFS5K7

pith:2023:YJXFS5K77G6UNN2YMJSSLLDCTR

not attested not anchored not stored refs pending

Influence of dark matter equation of state on the axial gravitational ringing of supermassive black holes

Bing Sun, Kai Lin, Wei-Liang Qian, Yuqian Zhao, Zhoujian Cao

arxiv:2308.15371 v3 · 2023-08-29 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJXFS5K77G6UNN2YMJSSLLDCTR}

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

2 papers in Pith

Quasinormal modes and tidal responses of black holes in generic anisotropic matter environments

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

Receipt and verification

First computed	2026-07-05T07:47:58.779690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c26e59755ff9bd46b758626525ac629c6a3cf754747dffea3c22fd393b389b03

Aliases

arxiv: 2308.15371 · arxiv_version: 2308.15371v3 · doi: 10.48550/arxiv.2308.15371 · pith_short_12: YJXFS5K77G6U · pith_short_16: YJXFS5K77G6UNN2Y · pith_short_8: YJXFS5K7

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/YJXFS5K77G6UNN2YMJSSLLDCTR \
  | 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: c26e59755ff9bd46b758626525ac629c6a3cf754747dffea3c22fd393b389b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75509c9cfce7c5429a26fc4b5072a89d9d770ed4b034b6e01fd7a97350b84b21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-08-29T15:07:00Z",
    "title_canon_sha256": "6dfc29226821519ca02bd5e480e6cc95fa15e49d621d85bc946604ba2949cddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.15371",
    "kind": "arxiv",
    "version": 3
  }
}