Pith Number

pith:2XBTO3Y6

pith:2026:2XBTO3Y6RWLYYPS4JSBL44DZ4Z

not attested not anchored not stored refs resolved

Gravitational waves in metric-affine bumblebee gravity

A. A. Ara\'ujo Filho

In metric-affine bumblebee gravity the graviton dispersion relation depends on the angle between the wave vector and the background vector.

arxiv:2603.08310 v2 · 2026-03-09 · gr-qc · hep-ph · 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{2XBTO3Y6RWLYYPS4JSBL44DZ4Z}

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.

Claims

C1strongest claim

We derive the modified dispersion relation governing the graviton modes and show that it depends on the orientation of the wave vector relative to the background vector... In the timelike configuration the Lorentz-violating effects appear through a modified propagation speed and an overall amplitude renormalization... In contrast, the spacelike sector introduces anisotropic corrections to the quadrupole amplitude together with an additional contribution proportional to the third time derivative of the quadrupole moment.

C2weakest assumption

The geometric-optics limit of the linearized theory around a constant, uniform vacuum expectation value of the bumblebee field remains valid for the wavelengths and amplitudes relevant to astrophysical sources.

C3one line summary

In metric-affine bumblebee gravity, gravitational waves obey an orientation-dependent dispersion relation with only two tensor modes; timelike backgrounds shift propagation speed while spacelike ones add anisotropic quadrupole corrections plus a third-derivative term, allowing constraints on ξb².

References

69 extracted · 69 resolved · 0 Pith anchors

[1] Timelike background 22

[2] Strain–based bounds from waveform consistency 23

[3] Choice of tolerances from observational systematics 23

[4] Bound from amplitude modulation 24

[5] I ij contribution 24 VIII

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-27T02:05:13.066535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c3376f1e8d978c3e5c4c82be7079e664d6647ecd5f852040f17a8cb55def4f

Aliases

arxiv: 2603.08310 · arxiv_version: 2603.08310v2 · doi: 10.48550/arxiv.2603.08310 · pith_short_12: 2XBTO3Y6RWLY · pith_short_16: 2XBTO3Y6RWLYYPS4 · pith_short_8: 2XBTO3Y6

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/2XBTO3Y6RWLYYPS4JSBL44DZ4Z \
  | 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: d5c3376f1e8d978c3e5c4c82be7079e664d6647ecd5f852040f17a8cb55def4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e444d5b391f110f120beaddf6d384124e285f88d252f30075c47bc25c69140",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-09T12:33:00Z",
    "title_canon_sha256": "ac71750b6882952957b92d34078afc647532f10ee29a4a7043d6e2c4e0817b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.08310",
    "kind": "arxiv",
    "version": 2
  }
}