Pith Number

pith:4EA2MZYI

pith:2025:4EA2MZYIQTAJK7ORKNLS2KGS52

not attested not anchored not stored refs pending

The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential

Jerzy Matyjasek, Sheng-Han Xiong, Xiao-Mei Kuang, Yong-Zhuang Li

arxiv:2508.03270 v1 · 2025-08-05 · 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{4EA2MZYIQTAJK7ORKNLS2KGS52}

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

Echoes of a hairy black hole from gravitational decoupling

Photon rings and shadows of black holes with non-minimal couplings between curvature and electromagnetic field

Receipt and verification

First computed	2026-07-05T11:48:52.883779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e101a6670884c0957dd153572d28d2eebc33dfcfe6ed62a452e178a1863a6f52

Aliases

arxiv: 2508.03270 · arxiv_version: 2508.03270v1 · doi: 10.48550/arxiv.2508.03270 · pith_short_12: 4EA2MZYIQTAJ · pith_short_16: 4EA2MZYIQTAJK7OR · pith_short_8: 4EA2MZYI

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/4EA2MZYIQTAJK7ORKNLS2KGS52 \
  | 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: e101a6670884c0957dd153572d28d2eebc33dfcfe6ed62a452e178a1863a6f52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4470d59011bf8d4898884de11d303b1500dcb9eae02148eec0923355b0dabd37",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-08-05T09:51:03Z",
    "title_canon_sha256": "4ee5ec911bdb83b937f1134ef2c6b656d426837af2e77da4da237200c10a3b0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.03270",
    "kind": "arxiv",
    "version": 1
  }
}