Pith Number

pith:4B4NRK67

pith:2016:4B4NRK67UNT4M3RY3D5CMVFSXX

not attested not anchored not stored refs pending

Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames

Matthew Wright, S.D. Odintsov, Sebastian Bahamonde, V.K. Oikonomou

arxiv:1603.05113 v1 · 2016-03-16 · gr-qc · astro-ph.CO · 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{4B4NRK67UNT4M3RY3D5CMVFSXX}

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

Spectrum of pure $R^2$ gravity: full Hamiltonian analysis

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Receipt and verification

First computed	2026-05-18T01:08:11.566607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e078d8abdfa367c66e38d8fa2654b2bdee1b0c6322760377eb29ea1c05dfce3b

Aliases

arxiv: 1603.05113 · arxiv_version: 1603.05113v1 · doi: 10.48550/arxiv.1603.05113 · pith_short_12: 4B4NRK67UNT4 · pith_short_16: 4B4NRK67UNT4M3RY · pith_short_8: 4B4NRK67

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/4B4NRK67UNT4M3RY3D5CMVFSXX \
  | 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: e078d8abdfa367c66e38d8fa2654b2bdee1b0c6322760377eb29ea1c05dfce3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6227465685b8f746e8aea139c705ae71632ff8607fa6c72c31c6f353017f522c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-16T14:18:59Z",
    "title_canon_sha256": "76754209c958f5a6b7afb462cdb40c2f1027e76d6e9a3eb8ba97172ea417c12b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05113",
    "kind": "arxiv",
    "version": 1
  }
}