Pith Number

pith:2UF6MJQL

pith:2025:2UF6MJQLBDTHYKETZUDRHZF4IG

not attested not anchored not stored refs pending

Chiral interactions of fermions and massive gauge fields in Kaluza-Klein models

Joao Baptista

Non-Killing vector fields on the internal space generate massive yet light gauge bosons with chiral couplings to fermions in Kaluza-Klein reductions.

arxiv:2506.09126 v2 · 2025-06-10 · hep-th · hep-ph · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UF6MJQLBDTHYKETZUDRHZF4IG}

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

Gauge fields linked to non-Killing vector fields on the internal space K produce massive yet arbitrarily light bosons that mix fermions of different masses and exhibit asymmetric couplings to left- and right-handed fermions, circumventing traditional no-go arguments and supplying a geometric source of chiral interactions.

C2weakest assumption

The higher-dimensional Dirac operator on M4 × K with a non-trivial background metric induced by non-Killing vector fields yields an effective 4D theory whose gauge bosons and fermion couplings match the claimed properties without additional fine-tuning or external fields.

C3one line summary

Non-Killing vector fields on the internal manifold in Kaluza-Klein compactifications generate massive light gauge bosons with chiral fermion couplings that bypass traditional no-go theorems.

Receipt and verification

First computed	2026-05-20T01:06:04.798250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d50be6260b08e67c2893cd0713e4bc418aefd3f8c46ce389e7ff6d03e80c8746

Aliases

arxiv: 2506.09126 · arxiv_version: 2506.09126v2 · doi: 10.48550/arxiv.2506.09126 · pith_short_12: 2UF6MJQLBDTH · pith_short_16: 2UF6MJQLBDTHYKET · pith_short_8: 2UF6MJQL

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/2UF6MJQLBDTHYKETZUDRHZF4IG \
  | 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: d50be6260b08e67c2893cd0713e4bc418aefd3f8c46ce389e7ff6d03e80c8746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f651817f70cbcfad17d9cbe90bcbffafa38640b426e45cf93d536bf913fbbf",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-10T18:00:03Z",
    "title_canon_sha256": "dba2a597785bfdf64ac9a74bc7f2bb8d49f342c20a34369f8718fd7b2dcabb80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09126",
    "kind": "arxiv",
    "version": 2
  }
}