Pith Number

pith:QP4F5TKI

pith:2015:QP4F5TKIVEEY257VE5AONTVJKF

not attested not anchored not stored refs pending

Restricted f(R) Gravity and Its Cosmological Implications

A. Ghalee, J. Kluson, M. Chaichian

arxiv:1512.05866 v3 · 2015-12-18 · 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{QP4F5TKIVEEY257VE5AONTVJKF}

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	2026-05-18T01:14:44.454104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f85ecd48a9098d77f52740e6cea9516570846f1f0e3ec667a631e9d5722913

Aliases

arxiv: 1512.05866 · arxiv_version: 1512.05866v3 · doi: 10.48550/arxiv.1512.05866 · pith_short_12: QP4F5TKIVEEY · pith_short_16: QP4F5TKIVEEY257V · pith_short_8: QP4F5TKI

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/QP4F5TKIVEEY257VE5AONTVJKF \
  | 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: 83f85ecd48a9098d77f52740e6cea9516570846f1f0e3ec667a631e9d5722913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229991a27976688981e86315ba824c87795806e63115f2308e750df956df60e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-18T07:31:51Z",
    "title_canon_sha256": "a4024142f68886ac2e8f90e56db99f70b2057d7669c0ebbd2f4b593024de159c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05866",
    "kind": "arxiv",
    "version": 3
  }
}