Pith Number

pith:H5CG66UK

pith:2022:H5CG66UK4GPQ25KZBXYNHVVZVD

not attested not anchored not stored refs pending

Static spherical vacuum solutions in the bumblebee gravity model

Dicong Liang, Lijing Shao, Rui Xu

arxiv:2209.02209 v2 · 2022-09-06 · gr-qc · hep-ph · hep-th · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5CG66UK4GPQ25KZBXYNHVVZVD}

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

7 papers in Pith

Asymptotically-flat Black holes in Bumblebee gravity: Exact solutions and Thermodynamics

Black holes and neutron stars in massive Hellings-Nordtvedt theory

Proca-type Hair of Rotating Black Holes in Higher Dimensions

Energy extraction from a rotating black hole via magnetic reconnection: Bumblebee gravity

When Bumblebee Meets NLED: Lorentz-Violating Black Holes and Regular Spacetimes

Receipt and verification

First computed	2026-07-05T05:32:48.118365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f446f7a8ae19f0d75590df0d3d6b9a8d4e554ba7908c2a55bcd571e9f3034bc

Aliases

arxiv: 2209.02209 · arxiv_version: 2209.02209v2 · doi: 10.48550/arxiv.2209.02209 · pith_short_12: H5CG66UK4GPQ · pith_short_16: H5CG66UK4GPQ25KZ · pith_short_8: H5CG66UK

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/H5CG66UK4GPQ25KZBXYNHVVZVD \
  | 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: 3f446f7a8ae19f0d75590df0d3d6b9a8d4e554ba7908c2a55bcd571e9f3034bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c62dc41eed138dc5ec6dcd0cc8cbcbf3d5a7168699297b3e8d8ddc8de07e8f",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-09-06T04:16:08Z",
    "title_canon_sha256": "5e21651ea1f404581e30f1e887f06219b70d145b6d84f2990fe1539c36a7a05a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.02209",
    "kind": "arxiv",
    "version": 2
  }
}