Pith Number

pith:HLWHAGZ4

pith:2021:HLWHAGZ4DRU5L65YV3YVWEW4FS

not attested not anchored not stored refs pending

Hairy Black Holes from Horndeski Theory

Nathan de Oliveira Silvano, Rodrigo Maier, Santiago Esteban Perez Bergliaffa

arxiv:2107.07839 v2 · 2021-07-16 · 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{HLWHAGZ4DRU5L65YV3YVWEW4FS}

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

1 paper in Pith

Energy conditions in static, spherically symmetric spacetimes and effective geometries

Receipt and verification

First computed	2026-07-05T03:05:03.248610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aec701b3c1c69d5fbb8aef15b12dc2c8ba519bba4e013523906bf01643c8402

Aliases

arxiv: 2107.07839 · arxiv_version: 2107.07839v2 · doi: 10.48550/arxiv.2107.07839 · pith_short_12: HLWHAGZ4DRU5 · pith_short_16: HLWHAGZ4DRU5L65Y · pith_short_8: HLWHAGZ4

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/HLWHAGZ4DRU5L65YV3YVWEW4FS \
  | 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: 3aec701b3c1c69d5fbb8aef15b12dc2c8ba519bba4e013523906bf01643c8402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ddcc093cd12e7b379b5ec9c3b88dd46d8c6ae3942b721ed67981e1cee75b55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-16T11:59:50Z",
    "title_canon_sha256": "d254e2b57effcbf7eb734456f8ec9ca3a9e74251ebceab1e574a04b332357337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.07839",
    "kind": "arxiv",
    "version": 2
  }
}