Pith Number

pith:GIXQTBFO

pith:2012:GIXQTBFOZSVPP2IC3ONMGUGQSD

not attested not anchored not stored refs pending

Stationary Scalar Clouds Around Rotating Black Holes

Shahar Hod

arxiv:1211.3202 v2 · 2012-11-14 · 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{GIXQTBFOZSVPP2IC3ONMGUGQSD}

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

5 papers in Pith

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

Dynamical Boson Stars

Gravitational Atoms from Topological Stars

Superradiance -- the 2020 Edition

Black hole spectroscopy: from theory to experiment

Receipt and verification

First computed	2026-05-18T01:53:15.870686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322f0984aeccaaf7e902db9ac350d090d730ff75d1d29db84b7eda7ab7d25887

Aliases

arxiv: 1211.3202 · arxiv_version: 1211.3202v2 · doi: 10.48550/arxiv.1211.3202 · pith_short_12: GIXQTBFOZSVP · pith_short_16: GIXQTBFOZSVPP2IC · pith_short_8: GIXQTBFO

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/GIXQTBFOZSVPP2IC3ONMGUGQSD \
  | 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: 322f0984aeccaaf7e902db9ac350d090d730ff75d1d29db84b7eda7ab7d25887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a54b2bc8792cf3efde1dfc507e0c12db605686afeca5e6d27021e07fe83be47",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-11-14T04:32:07Z",
    "title_canon_sha256": "ab0ab6f2a4522197b6d35410e9bb53cd9ae8e31b5076a8db148a5a7ec29b99b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3202",
    "kind": "arxiv",
    "version": 2
  }
}