Pith Number

pith:OD2C5ZPC

pith:2025:OD2C5ZPCKOSZCOU6US3N4CXZDL

not attested not anchored not stored refs resolved

Counting voids and filaments: Betti Curves as a Powerful Probe for Cosmology

Cheng Zhao, Jiayi Li

Betti curves from galaxy distributions tighten cosmological constraints when combined with the power spectrum.

arxiv:2512.07236 v2 · 2025-12-08 · astro-ph.CO

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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

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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

By jointly analyzing Betti curves and the power spectrum, we achieve significantly tightened constraints than using power spectrum alone on parameters such as ns, σ8, and w.

C2weakest assumption

That the machine-learning emulators trained on Quijote halos accurately capture the full dependence of Betti curves on cosmological parameters and redshift-space distortions without introducing bias or missing cosmic-variance effects that would appear in real survey data.

C3one line summary

Betti curves from persistent homology of large-scale structure provide complementary cosmological constraints on ns, sigma8, and Om, with tighter bounds when analyzed jointly with the power spectrum.

References

94 extracted · 94 resolved · 24 Pith anchors

[1] Constraints from Betti curves In the absence of RSD effects, the posterior distribu- tions of cosmological parameters constrained by ˆβ0, ˆβ1, ˆβ2, and their combination under the fiducial cosmology a

[2] The effect of RSD to constraints from Betti curves Figure 10 presents the joint cosmological parameter constraints from Betti curves under fiducial cosmology, with and without RSD. Except forM ν, whic

[3] Joint analysis of Betti curves and power spectrum Not considering RSD, the joint cosmological parame- ter constraints from Betti curves and the monopole of the power spectrum (P0(k)) under the fiducia

[4] M. Davis, G. Efstathiou, C. S. Frenk, and S. D. M. White, ApJ292, 371 (1985) 1985

[5] P. J. E. Peebles,The large-scale structure of the universe (Princeton University Press, 1980) 1980

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Constraining Neutrino Mass with the Void Weak Lensing Effect

Receipt and verification

First computed	2026-05-18T03:09:32.861346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f42ee5e253a5913a9ea4b6de0af91ac610bb2d25314b513cb17031b95d9eec

Aliases

arxiv: 2512.07236 · arxiv_version: 2512.07236v2 · doi: 10.48550/arxiv.2512.07236 · pith_short_12: OD2C5ZPCKOSZ · pith_short_16: OD2C5ZPCKOSZCOU6 · pith_short_8: OD2C5ZPC

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OD2C5ZPCKOSZCOU6US3N4CXZDL \
  | 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: 70f42ee5e253a5913a9ea4b6de0af91ac610bb2d25314b513cb17031b95d9eec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1e7b10f31cd51853681baa7b5d1ecf0490b3ae7d73f9e549962c550ed95f3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-12-08T07:33:29Z",
    "title_canon_sha256": "6349eba423d6ce64e66473bb8b506bf01641426ea8533123d3452a23fe0bcc09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.07236",
    "kind": "arxiv",
    "version": 2
  }
}