Pith Number

pith:WP36SHKI

pith:2021:WP36SHKIUCXAUADJVIGDLQY2NL

not attested not anchored not stored refs pending

Observational constraints on Starobinsky $f(R)$ cosmology from cosmic expansion and structure growth data

Armando Bernui, Marcela Campista, Pedro Bessa

arxiv:2112.00822 v2 · 2021-12-01 · 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{WP36SHKIUCXAUADJVIGDLQY2NL}

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

1 paper in Pith

Compact stars with gravitational wave echoes in $f(R,L_{m},T)$ gravitational theory

Receipt and verification

First computed	2026-07-05T04:28:53.689083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f7e91d48a0ae0a0069aa0c35c31a6ade09f590c98f80279c17b46c6f60fa59

Aliases

arxiv: 2112.00822 · arxiv_version: 2112.00822v2 · doi: 10.48550/arxiv.2112.00822 · pith_short_12: WP36SHKIUCXA · pith_short_16: WP36SHKIUCXAUADJ · pith_short_8: WP36SHKI

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/WP36SHKIUCXAUADJVIGDLQY2NL \
  | 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: b3f7e91d48a0ae0a0069aa0c35c31a6ade09f590c98f80279c17b46c6f60fa59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcdb87553f28f0f5cccc32fab4e3f739a6f7b6a856103007daf3aa2a7110a498",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-12-01T20:44:37Z",
    "title_canon_sha256": "4cc3597fd45a8d85c18f6ca94cefe1656c7fd1b050b676e19610260224283918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00822",
    "kind": "arxiv",
    "version": 2
  }
}