Pith Number

pith:HAAMXDN3

pith:2006:HAAMXDN3JH5264DZ3D24ADIAIO

not attested not anchored not stored refs pending

Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics

M. Akbar, Rong-Gen Cai

arxiv:hep-th/0602156 v2 · 2006-02-16 · hep-th · 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{HAAMXDN3JH5264DZ3D24ADIAIO}

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

5 papers in Pith

Hamilton-Jacobi Approach to Inflationary Scenarios through Extended Entropies: An Observational Perspective

Modified Entropy from Action Principle

Observational constraints on Luciano-Saridakis entropic cosmology

Constraints on Kaniadakis Cosmology from Starobinsky Inflation and Primordial Tensor Perturbations

Modified Gravity and Cosmology

Receipt and verification

First computed	2026-07-04T15:19:57.660764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3800cb8dbb49fbaf7079d8f5c00d0043816958f7552b8bfa17285bd76187995a

Aliases

arxiv: hep-th/0602156 · arxiv_version: hep-th/0602156v2 · doi: 10.48550/arxiv.hep-th/0602156 · pith_short_12: HAAMXDN3JH52 · pith_short_16: HAAMXDN3JH5264DZ · pith_short_8: HAAMXDN3

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/HAAMXDN3JH5264DZ3D24ADIAIO \
  | 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: 3800cb8dbb49fbaf7079d8f5c00d0043816958f7552b8bfa17285bd76187995a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd8a589d2ab722007499c9ff147e3ee84ddf10e32f4b9ec422e1e285ba8456b1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-02-16T03:13:26Z",
    "title_canon_sha256": "e75e54b4f2806a00e22b8dc9a3ec2d836dd357ec8d11fbe7dd6c388564436a4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0602156",
    "kind": "arxiv",
    "version": 2
  }
}