pith. sign in
Pith Number

pith:A7YWIAPE

pith:2016:A7YWIAPE3F3VV3OLFBBTYZ26FZ
not attested not anchored not stored refs pending

Cosmological Perturbations in Restricted f(R)-Gravity

A. Ghalee, J. Kluson, M. Chaichian

arxiv:1609.02666 v1 · 2016-09-09 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{A7YWIAPE3F3VV3OLFBBTYZ26FZ}

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 2026-05-18T00:46:39.897100Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

07f16401e4d9775aedcb28433c675e2e50cb423dd0651e5bf15f3daea4724eda

Aliases

arxiv: 1609.02666 · arxiv_version: 1609.02666v1 · doi: 10.48550/arxiv.1609.02666 · pith_short_12: A7YWIAPE3F3V · pith_short_16: A7YWIAPE3F3VV3OL · pith_short_8: A7YWIAPE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/A7YWIAPE3F3VV3OLFBBTYZ26FZ \
  | 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: 07f16401e4d9775aedcb28433c675e2e50cb423dd0651e5bf15f3daea4724eda
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "be2c2d6c8c5d5d579ab50abd18f9ab73e15e7e5e4567b839b1617d3fc41e4bb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-09T06:23:31Z",
    "title_canon_sha256": "85ecae8a8b4fcf49b862426b2858df941393754c719ae8ef9269ed2e8b9d2a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02666",
    "kind": "arxiv",
    "version": 1
  }
}