Pith Number

pith:AANE7GQV

pith:2026:AANE7GQVUZ4UEYNWJIXJDZBVNU

not attested not anchored not stored refs pending

Curvature-Assisted Dynamical Compactification in a Pre-Inflationary Higher-Dimensional Universe

Yusuke Yamada

Negative curvature sustains tracker-like evolution of the radion, trapping it in a compactified vacuum before four-dimensional inflation.

arxiv:2604.25569 v2 · 2026-04-28 · hep-th

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\pithnumber{AANE7GQVUZ4UEYNWJIXJDZBVNU}

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Record completeness

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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 show that negative curvature can sustain tracker-like radion evolution, allowing the radion to be trapped in a compactified vacuum before a subsequent four-dimensional inflationary phase dilutes the curvature remnant.

C2weakest assumption

The assumption that bulk quantum fields in the 5D S^1 compactification generate both the late-time stabilizing Casimir contribution and the early-time Kaluza-Klein thermal contributions in a reliable semiclassical regime, and that the open FRW background plus tracker solution accurately captures the essential dynamics.

C3one line summary

Negative curvature sustains tracker-like radion evolution in a 5D open FRW universe, enabling trapping into a compactified vacuum via Casimir and Kaluza-Klein thermal effects before 4D inflation dilutes curvature remnants.

Receipt and verification

First computed	2026-06-30T02:17:21.695019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

001a4f9a15a6794261b64a2e91e4356d15f9e9f702aa9ca770eeed7bb73b8021

Aliases

arxiv: 2604.25569 · arxiv_version: 2604.25569v2 · doi: 10.48550/arxiv.2604.25569 · pith_short_12: AANE7GQVUZ4U · pith_short_16: AANE7GQVUZ4UEYNW · pith_short_8: AANE7GQV

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/AANE7GQVUZ4UEYNWJIXJDZBVNU \
  | 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: 001a4f9a15a6794261b64a2e91e4356d15f9e9f702aa9ca770eeed7bb73b8021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a08670005271f3c8203fe96007631525f81641c7a89f9b8462ee559dfa546106",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-28T12:39:22Z",
    "title_canon_sha256": "f01f431111a13202e84c8fa34feb3bc32f1b80606889fed36e0a7105b4bfdec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.25569",
    "kind": "arxiv",
    "version": 2
  }
}