Pith Number

pith:4WVX3ML5

pith:2015:4WVX3ML5XZ4QG4PCWT5X5UEDSF

not attested not anchored not stored refs pending

Shadows of Kerr black holes with scalar hair

Carlos A. R. Herdeiro, Eugen Radu, Helgi F. Runarsson, Pedro V. P. Cunha

arxiv:1509.00021 v2 · 2015-08-31 · gr-qc · astro-ph.HE · 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{4WVX3ML5XZ4QG4PCWT5X5UEDSF}

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

9 papers in Pith

Splitting the Gravitational Atom: Instabilities of Black Holes with Synchronized or Resonant Hair

Dynamical Boson Stars

Observational Signatures of Rotating Ay\'{o}n-Beato-Garc\'{i}a Black Holes: Shadows, Accretion Disks and Images

On regular black strings spacetimes in nonlinear electrodynamics

Reshaping the inner shadow of a Kerr black hole by a torn accretion disk

Receipt and verification

First computed	2026-05-18T01:26:09.632401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ab7db17dbe790371e2b4fb7ed0839175e82a45005f62f5cca782d3e43bbd93

Aliases

arxiv: 1509.00021 · arxiv_version: 1509.00021v2 · doi: 10.48550/arxiv.1509.00021 · pith_short_12: 4WVX3ML5XZ4Q · pith_short_16: 4WVX3ML5XZ4QG4PC · pith_short_8: 4WVX3ML5

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/4WVX3ML5XZ4QG4PCWT5X5UEDSF \
  | 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: e5ab7db17dbe790371e2b4fb7ed0839175e82a45005f62f5cca782d3e43bbd93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6336d262f572451f4d0ca93ad027c5f9bb3e65ec33fefc4d559b12914da8d5a2",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-31T20:14:13Z",
    "title_canon_sha256": "3de68f619a9c3199b699ac1480c32aeca89454980ce8226c6898291f856d8fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00021",
    "kind": "arxiv",
    "version": 2
  }
}