Pith Number

pith:FOLU6ULJ

pith:2006:FOLU6ULJP7J65RYKRJZHAI4O6F

not attested not anchored not stored refs pending

Introduction to Modified Gravity and Gravitational Alternative for Dark Energy

S.D. Odintsov, S. Nojiri

arxiv:hep-th/0601213 v5 · 2006-01-29 · hep-th · astro-ph · 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{FOLU6ULJP7J65RYKRJZHAI4O6F}

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

12 papers in Pith

Joule-Thomson Effect and Geodesic Structure of Charged AdS Black Holes in f(R,T) Coupled with Nonlinear Electrodynamics

Collider Probes of Dark Energy Microphysics

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity

Cosmological structure growth in energy-momentum squared gravity

Cosmological searches for the neutrino mass scale and mass ordering

Receipt and verification

First computed	2026-07-04T15:49:58.546780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b974f51697fd3eec70a8a7270238ef1454c167bffef22eadf8b96902e0360bf

Aliases

arxiv: hep-th/0601213 · arxiv_version: hep-th/0601213v5 · doi: 10.48550/arxiv.hep-th/0601213 · pith_short_12: FOLU6ULJP7J6 · pith_short_16: FOLU6ULJP7J65RYK · pith_short_8: FOLU6ULJ

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/FOLU6ULJP7J65RYKRJZHAI4O6F \
  | 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: 2b974f51697fd3eec70a8a7270238ef1454c167bffef22eadf8b96902e0360bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2eea2ea3064eae9a4c1fa32180815749f63efcd9ce2fb05e2ace6665c6866c4",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-01-29T22:31:37Z",
    "title_canon_sha256": "440df4e1e7ca0af96eaad9d14868a8e4af4e575ba5e860adf37e913195a4501c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0601213",
    "kind": "arxiv",
    "version": 5
  }
}