Pith Number

pith:CWKTAR2L

pith:2026:CWKTAR2LQ3EUYGLBSM3HSB3WEP

not attested not anchored not stored refs pending

Geodesically Complete Curvature-Bounce Inflation

Damien A. Easson

Positive spatial curvature permits a nonsingular bounce followed by standard inflation using one scalar field in general relativity.

arxiv:2604.27103 v2 · 2026-04-29 · astro-ph.CO · gr-qc · hep-th

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\pithnumber{CWKTAR2LQ3EUYGLBSM3HSB3WEP}

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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 construct a geodesically complete closed k=+1 bounce-plus-inflation cosmology in ordinary general relativity, sourced by a single canonical scalar field with a positive vacuum offset. The solved branch remains sub-Planckian and evolves onto a curvature-diluted slow-roll phase with inflationary observables consistent with current constraints.

C2weakest assumption

That only positive spatial curvature permits a nonsingular, geodesically complete universe with ANEC-respecting matter in non-static FRW cosmology, and that a suitable scalar potential with positive vacuum offset can be chosen to realize the bounce while keeping the entire evolution sub-Planckian and NEC-compliant.

C3one line summary

A closed k=+1 FRW universe with curvature-driven bounce and canonical scalar inflation remains sub-Planckian, satisfies the null energy condition, and produces ns=0.9617-0.9650 and r=0.0037-0.0045 consistent with data.

Cited by

1 paper in Pith

Affine ANEC selects the closed FRW branch for geodesically complete cosmology

Receipt and verification

First computed	2026-06-08T00:03:39.310259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159530474b86c94c1961933679077623c4f8d09eeb88f98e92ba304afbb4aa54

Aliases

arxiv: 2604.27103 · arxiv_version: 2604.27103v2 · doi: 10.48550/arxiv.2604.27103 · pith_short_12: CWKTAR2LQ3EU · pith_short_16: CWKTAR2LQ3EUYGLB · pith_short_8: CWKTAR2L

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CWKTAR2LQ3EUYGLBSM3HSB3WEP \
  | 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: 159530474b86c94c1961933679077623c4f8d09eeb88f98e92ba304afbb4aa54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "400ece1a4d9dfa546ba34053a8cd1998e3218cd65c2376fedfaa87142e1334df",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-04-29T18:47:37Z",
    "title_canon_sha256": "e2c017b6547c3c2ce7be9d4dd80395a20c6a7f97726bc6c564e35201b2b4207e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.27103",
    "kind": "arxiv",
    "version": 2
  }
}