Pith Number

pith:QQDITXSC

pith:2024:QQDITXSCN23M3CY3DNCN5WT42B

not attested not anchored not stored refs pending

A $\Lambda$CDM Extension Explaining the Hubble Tension and the Spatial Curvature $\Omega_{k,0} = -0.012 \pm 0.010$ Measured by the Final PR4 of the Planck Mission

Horst Foidl, Tanja Rindler-Daller

arxiv:2412.04126 v1 · 2024-12-05 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQDITXSCN23M3CY3DNCN5WT42B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Cited by

2 papers in Pith

Intertwined Constraints in Extended Cosmologies: Dark Energy, Curvature, Neutrinos, and Inflation

Cosmological Realization of Baryon Asymmetry in f(R, G_{\mu\nu}T^{\mu\nu}) Gravity

Receipt and verification

First computed	2026-07-05T09:44:59.834304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840689de426eb6cd8b1b1b44deda7cd07b351d65956cbc19d88ff121bc2ed552

Aliases

arxiv: 2412.04126 · arxiv_version: 2412.04126v1 · doi: 10.48550/arxiv.2412.04126 · pith_short_12: QQDITXSCN23M · pith_short_16: QQDITXSCN23M3CY3 · pith_short_8: QQDITXSC

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/QQDITXSCN23M3CY3DNCN5WT42B \
  | 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: 840689de426eb6cd8b1b1b44deda7cd07b351d65956cbc19d88ff121bc2ed552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02564d186baae02a9ed3cab9e4767841958fa5595cc57d0966eaccb5e498f1bd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-12-05T12:49:24Z",
    "title_canon_sha256": "df44e1abf886c2b701058a31c6cab68dfd44224b922072b0ed5154efd15ee41b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04126",
    "kind": "arxiv",
    "version": 1
  }
}