Pith Number

pith:PHG3EUUM

pith:2011:PHG3EUUMD7KBYHAO355XU6AP4R

not attested not anchored not stored refs pending

Bumpy Black Holes in Alternate Theories of Gravity

Leo Stein, Nicol\'as Yunes, Sarah Vigeland

arxiv:1102.3706 v2 · 2011-02-17 · 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{PHG3EUUMD7KBYHAO355XU6AP4R}

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

Exact black holes and black branes with bumpy horizons supported by superfluid pions

Probing Kerr Symmetry Breaking with LISA Extreme-Mass-Ratio Inspirals

Receipt and verification

First computed	2026-05-18T04:21:22.301823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79cdb2528c1fd41c1c0edf7b7a780fe440341efc9c0fcd734a4ee786be3f641f

Aliases

arxiv: 1102.3706 · arxiv_version: 1102.3706v2 · doi: 10.48550/arxiv.1102.3706 · pith_short_12: PHG3EUUMD7KB · pith_short_16: PHG3EUUMD7KBYHAO · pith_short_8: PHG3EUUM

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/PHG3EUUMD7KBYHAO355XU6AP4R \
  | 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: 79cdb2528c1fd41c1c0edf7b7a780fe440341efc9c0fcd734a4ee786be3f641f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a6e943ec8281e861d07b436dabdf57fa19e1dda22a0e28d1c96245c16e77cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-17T21:43:02Z",
    "title_canon_sha256": "6e2db7aee537e8caafd275e1af6c8653c83e0970e6c1862541d73f4024d27ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3706",
    "kind": "arxiv",
    "version": 2
  }
}