Pith Number

pith:HGPKE4ZU

pith:2026:HGPKE4ZUTYHIHRUFOG3HSGLDAK

not attested not anchored not stored refs resolved

CP-violating multi-field phase transitions and gravitational waves in a hidden NJL sector

Chang-Xin Liu

In a hidden NJL sector, multi-field tunneling can slow phase transitions to β/H ~ O(100) and produce gravitational waves detectable by μAres.

arxiv:2604.19197 v2 · 2026-04-21 · hep-ph

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\usepackage{pith}
\pithnumber{HGPKE4ZUTYHIHRUFOG3HSGLDAK}

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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

A comprehensive scan of the multi-dimensional parameter space reveals a regime where the transition rate drops to β/H ∼ O(10^2), enhancing SGWB peak amplitudes to the detection sensitivity of μAres; the macroscopic GW properties are set by the radial effective potential and remain insensitive to the CP-violating angle.

C2weakest assumption

The effective potential and its multi-field tunneling path are computed within the mean-field or large-N approximation of the NJL model; if higher-order corrections or non-perturbative effects alter the barrier height or the curvature of the path, the claimed reduction in β/H and the resulting GW amplitude would change.

C3one line summary

Multi-field tunneling analysis in a CP-violating NJL model yields a slow transition (β/H ~ 100) whose stochastic gravitational-wave signal is detectable by μAres and insensitive to the CP angle.

References

96 extracted · 96 resolved · 54 Pith anchors

[1] E. Witten, Phys. Rev. D30, 272 (1984) 1984

[2] Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond 2007 · arXiv:hep-ph/0607107

[3] Caprini et al.,Science with the space-based interferometer eLISA 2016 · arXiv:1512.06239

[4] Planck 2018 results. VI. Cosmological parameters 2020 · arXiv:1807.06209

[5] T. W. B. Kibble, Phys. Rept.67, 183 (1980) 1980

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:39.182048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

399ea273349e0e83c68571b679196302b7f658cbbf295ce68fca4eb378477c72

Aliases

arxiv: 2604.19197 · arxiv_version: 2604.19197v2 · doi: 10.48550/arxiv.2604.19197 · pith_short_12: HGPKE4ZUTYHI · pith_short_16: HGPKE4ZUTYHIHRUF · pith_short_8: HGPKE4ZU

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/HGPKE4ZUTYHIHRUFOG3HSGLDAK \
  | 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: 399ea273349e0e83c68571b679196302b7f658cbbf295ce68fca4eb378477c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330562f6f1c262947f2e3d5dcef364802c3b2f090b9fcd3be102b234dbd89fb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-04-21T08:07:06Z",
    "title_canon_sha256": "629a8c255c2761187d2fd29231dd0b35c91b5b5349ee4f8c0e7cc8a300f4b16c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19197",
    "kind": "arxiv",
    "version": 2
  }
}