Pith Number

pith:N3BUINGM

pith:2026:N3BUINGM7UQCA6V3FNY427KQ6L

not attested not anchored not stored refs pending

Controlled Penumbral Inflation from Monodromic Valleys

Pirzada, Tianjun Li

Local branch data already determine if monodromic valleys support controlled inflation.

arxiv:2605.10197 v2 · 2026-05-11 · hep-ph · astro-ph.CO · gr-qc

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4 Citations open

5 Replications open

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Claims

C1strongest claim

local branch data already determine whether they support controlled inflation, and thereby isolate the first controlled penumbral inflationary window. In the axion--saxion effective theory given in Eq.4, a branch-displacing odd term generates a plateau when Δ≡p+2ν−q>0, while covariant single-clock control further requires p<2, or p=2 with 12A_pm²/V_0≫1 over the observational window.

C2weakest assumption

The local effective theory (Eq. 4) remains valid and single-clock throughout the observable window, and higher-order penumbral corrections do not destroy the plateau or attractor before the end of inflation.

C3one line summary

Local branch data determine controlled inflation in monodromic penumbral valleys when Δ > 0 and p < 2 (or p=2 with large A_pm), with a minimal exactly solvable family provided.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

CMB Test of the Higgs Origin of Dark-Photon Dark Matter

Receipt and verification

First computed	2026-06-10T01:08:36.236610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec34434ccfd20207abb2b71cd7d50f2c27c57aa52596152c1611dec262da8ee

Aliases

arxiv: 2605.10197 · arxiv_version: 2605.10197v2 · doi: 10.48550/arxiv.2605.10197 · pith_short_12: N3BUINGM7UQC · pith_short_16: N3BUINGM7UQCA6V3 · pith_short_8: N3BUINGM

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N3BUINGM7UQCA6V3FNY427KQ6L \
  | 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: 6ec34434ccfd20207abb2b71cd7d50f2c27c57aa52596152c1611dec262da8ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86c2e5ac7018e2542b9547fe724efa8cdaa1406ea0e28192aee721136c849c8f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-11T08:46:27Z",
    "title_canon_sha256": "94dffc12d03ad387a6ce152ae68be936c78022a0c50cf0b8c6c77051eb79b64d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10197",
    "kind": "arxiv",
    "version": 2
  }
}