Pith Number

pith:GRNE6F37

pith:2018:GRNE6F375YLDRQ5PTLBHYPHOWG

not attested not anchored not stored refs pending

Effects of modified gravity on the turnaround radius in cosmology

Sergei D. Odintsov, Shin'ichi Nojiri, Valerio Faraoni

arxiv:1806.01966 v2 · 2018-06-05 · 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{GRNE6F375YLDRQ5PTLBHYPHOWG}

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.

Receipt and verification

First computed	2026-05-18T00:11:04.593011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345a4f177fee1638c3af9ac27c3ceeb1a7d1da147922dfa0eead2c7d36d28be1

Aliases

arxiv: 1806.01966 · arxiv_version: 1806.01966v2 · doi: 10.48550/arxiv.1806.01966 · pith_short_12: GRNE6F375YLD · pith_short_16: GRNE6F375YLDRQ5P · pith_short_8: GRNE6F37

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/GRNE6F375YLDRQ5PTLBHYPHOWG \
  | 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: 345a4f177fee1638c3af9ac27c3ceeb1a7d1da147922dfa0eead2c7d36d28be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1219e3e76c795ca55cf455fd3fd8399ecf9911f62ad040e6c520fdbc8d49feb8",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-06-05T23:52:15Z",
    "title_canon_sha256": "23d9179c5e1b413fd097bf949cda9592ea7249a9439cfc64834ab17028dc6bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01966",
    "kind": "arxiv",
    "version": 2
  }
}