Pith Number

pith:5GNKLKQZ

pith:2019:5GNKLKQZ3KYQJIUAN77UREPASQ

not attested not anchored not stored refs pending

Planck evidence for a closed Universe and a possible crisis for cosmology

Alessandro Melchiorri, Eleonora Di Valentino, Joseph Silk

arxiv:1911.02087 v1 · 2019-11-05 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GNKLKQZ3KYQJIUAN77UREPASQ}

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

11 papers in Pith

The Hubble tension: A decade review

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

HIcosmo: a differentiable JAX-based framework for cosmology inference

Mapping the Universe as a Bianchi I cosmology with Gaia data

Negative neutrino mass or negative dark energy?

Receipt and verification

First computed	2026-07-05T00:17:30.701051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e99aa5aa19dab104a2806fff4891e09419122645cbb52c50eff743c8e856f1af

Aliases

arxiv: 1911.02087 · arxiv_version: 1911.02087v1 · doi: 10.48550/arxiv.1911.02087 · pith_short_12: 5GNKLKQZ3KYQ · pith_short_16: 5GNKLKQZ3KYQJIUA · pith_short_8: 5GNKLKQZ

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/5GNKLKQZ3KYQJIUAN77UREPASQ \
  | 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: e99aa5aa19dab104a2806fff4891e09419122645cbb52c50eff743c8e856f1af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89806cc6f8bb2a17281e3a26a732ab45c51863830a1141edcc23ec1cac5b723c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-11-05T21:14:06Z",
    "title_canon_sha256": "8bfb337cb29c5aad039d7f569e539b5c05e261626c8343c07996f0f0347840de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.02087",
    "kind": "arxiv",
    "version": 1
  }
}