Pith Number

pith:WMWDZNDH

pith:2026:WMWDZNDHVCID3NEK7LHF6EHTG3

not attested not anchored not stored refs resolved

Single field matter bounce with dark energy era: comparison with CMB Planck 2018 data and best fit parameters

Nelson Pinto-Neto, Rodrigo F. Pinheiro

Matter bounce cosmology with exponential potential fits Planck 2018 data comparably to inflation.

arxiv:2605.14088 v1 · 2026-05-13 · astro-ph.CO · gr-qc

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\pithnumber{WMWDZNDHVCID3NEK7LHF6EHTG3}

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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

Our results indicate that Planck data alone cannot favor one model with respect to the other, showing that the model we investigate can be a viable alternative to inflation.

C2weakest assumption

The quantum bounce and the late-time dark-energy behavior of the scalar field can be described by classical equations whose predictions are directly comparable to CMB data without additional quantum corrections or unknown post-bounce evolution.

C3one line summary

A matter bounce model driven by a scalar field with exponential potential fits Planck 2018 CMB data comparably to inflationary ΛCDM, with the potential slope λ directly setting the scalar spectral index ns.

References

37 extracted · 37 resolved · 17 Pith anchors

[1] A study of stability around these points can demonstrate thatx±1, y= 0 are repeller points in the expanding phase, and attractor points in the contracting phase, and we have the opposite behavior forx 2018

[2] The quantum solution has classical limits, which allows for a continuous connection of these solutions

[3] For each phase, we evolve the quantum system until the classical limits

[4] Matching with matter-domination scale The classical evolution begins at the end of the quan- tum evolution. We can match the solutions through the combination of the classical limit of the quantum pla

[5] Similarly to what we did in the previous section, we can choosea 0 to be the point whereω=−1, which implies x= 0

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:12.243041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b32c3cb467a8903db48aface5f10f336de96aecf59edb34d09a86f22ec6b98c3

Aliases

arxiv: 2605.14088 · arxiv_version: 2605.14088v1 · doi: 10.48550/arxiv.2605.14088 · pith_short_12: WMWDZNDHVCID · pith_short_16: WMWDZNDHVCID3NEK · pith_short_8: WMWDZNDH

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WMWDZNDHVCID3NEK7LHF6EHTG3 \
  | 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: b32c3cb467a8903db48aface5f10f336de96aecf59edb34d09a86f22ec6b98c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd1ded700407b10c7fc034665c3ac36132669bcb8480e54d398c3ec17b8b2bca",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-13T20:14:23Z",
    "title_canon_sha256": "78ed0441f2251062083ae7198df38acf85dbe8b4e75fb0a2377c33fbf914a0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14088",
    "kind": "arxiv",
    "version": 1
  }
}