Pith Number

pith:TPPKA6F5

pith:2026:TPPKA6F5BSLNSMMPFEVUF3QDCR

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The structure of multi-axion solutions to the strong CP problem

Mario Fern\'andez Navarro, Marko Pesut, Marta F. Zamoro, Xavier Ponce D\'iaz

A general sum rule for N-axion systems classifies all possible mass-photon coupling patterns arising from arbitrary Peccei-Quinn breaking and anomaly alignments.

arxiv:2605.06787 v2 · 2026-05-07 · hep-ph · astro-ph.CO · hep-ex · hep-th

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\usepackage{pith}
\pithnumber{TPPKA6F5BSLNSMMPFEVUF3QDCR}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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 a general sum rule for N-axion systems that incorporates both general PQ breaking and non-universal anomaly coefficients.

C2weakest assumption

That the structure of Peccei-Quinn symmetry breaking and the relative alignment between QCD and electromagnetic anomalies are the dominant ingredients controlling the phenomenological patterns, with UV-complete realizations existing for the identified regimes.

C3one line summary

Multi-axion theories solving the strong CP problem produce varied mass-coupling relations via a general sum rule that depends on the details of PQ symmetry breaking and anomaly alignments.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-03T01:05:51.021611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bdea078bd0c96d9318f292b42ee03145aa3711013536583a5b534b5859e289b

Aliases

arxiv: 2605.06787 · arxiv_version: 2605.06787v2 · doi: 10.48550/arxiv.2605.06787 · pith_short_12: TPPKA6F5BSLN · pith_short_16: TPPKA6F5BSLNSMMP · pith_short_8: TPPKA6F5

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/TPPKA6F5BSLNSMMPFEVUF3QDCR \
  | 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: 9bdea078bd0c96d9318f292b42ee03145aa3711013536583a5b534b5859e289b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aedbcd34e6f5f2c9cd51b6ef81a2a685d7a1b5a51c1ad6a18687c584d34978c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ex",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-07T18:00:05Z",
    "title_canon_sha256": "f1437218cdc126ddd93858c61c51ec16f106a10861c2c892ec202134b91da2c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06787",
    "kind": "arxiv",
    "version": 2
  }
}