Pith Number

pith:IMVXWQY7

pith:2026:IMVXWQY7WMBINKU6YTK6BIDMOD

not attested not anchored not stored refs resolved

Dynamic Aspects of Bumblebee Gravity: Post-Newtonian Approach

Hao Li, Jie Zhu

Bumblebee gravity's PPN framework is self-consistent up to 1.5PN order only when the Bumblebee field couples directly to the Einstein tensor.

arxiv:2605.17516 v1 · 2026-05-17 · gr-qc · hep-ph

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\usepackage{pith}
\pithnumber{IMVXWQY7WMBINKU6YTK6BIDMOD}

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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

The PPN framework is self-consistent up to 1.5PN order if and only if λ = −ξ/2, which corresponds to a direct coupling between the Bumblebee field B_μ and the Einstein tensor.

C2weakest assumption

The analysis assumes the standard PPN coordinate system and expansion remain valid for the Bumblebee vector field without additional higher-order or non-perturbative corrections from the potential.

C3one line summary

Bumblebee gravity is self-consistent in PPN up to 1.5PN order only for λ = −ξ/2, producing non-zero α1, α2, a logarithmic U_B potential, and a pulsar-timing bound |ℓ| ≲ 1.6×10^{-9}.

References

39 extracted · 39 resolved · 12 Pith anchors

[1] V. A. Kostelecky and S. Samuel, Spontaneous Breaking of Lorentz Symmetry in String Theory, Phys. Rev. D39, 683 (1989) 1989

[2] D. Colladay and V. A. Kostelecky, CPT violation and the standard model, Phys. Rev. D55, 6760 (1997), arXiv:hep- ph/9703464 1997

[3] Lorentz-violating extensio n of the standard model 1998 · arXiv:hep-ph/9809521

[4] D. Colladay and V. A. Kostelecky, Cross-sections and Lorentz violation, Phys. Lett. B511, 209 (2001), arXiv:hep- ph/0104300 2001

[5] Stability, causality, and Lorentz and CPT violation 2001 · arXiv:hep-th/0012060

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:04:43.266598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

432b7b431fb30286aa9ec4d5e0a06c70c8202dd9cabe0f55d35a205f7d524450

Aliases

arxiv: 2605.17516 · arxiv_version: 2605.17516v1 · doi: 10.48550/arxiv.2605.17516 · pith_short_12: IMVXWQY7WMBI · pith_short_16: IMVXWQY7WMBINKU6 · pith_short_8: IMVXWQY7

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/IMVXWQY7WMBINKU6YTK6BIDMOD \
  | 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: 432b7b431fb30286aa9ec4d5e0a06c70c8202dd9cabe0f55d35a205f7d524450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7969726554c88edcf7fb57a8057d53577193a99fbedbbb008ac5b2ca315476",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-17T16:00:11Z",
    "title_canon_sha256": "bb29b7d96a488b6f7e876de9a34bf5e5b3be57c8a9dfc77b474e5a300dc86c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17516",
    "kind": "arxiv",
    "version": 1
  }
}