pith. sign in
Pith Number

pith:ESMLJFDO

pith:2014:ESMLJFDOY5H3TQTMDWQDU4ULHQ
not attested not anchored not stored refs pending

$f(R)$ gravity: scalar perturbations in the late Universe

Alexander Zhuk, Jan Nov\'ak, Maxim Eingorn

arxiv:1401.5410 v2 · 2014-01-21 · astro-ph.CO · gr-qc · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ESMLJFDOY5H3TQTMDWQDU4ULHQ}

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 2026-05-18T02:43:45.365935Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2498b4946ec74fb9c26c1da03a728b3c24f7d33434432071ad56f8d279413415

Aliases

arxiv: 1401.5410 · arxiv_version: 1401.5410v2 · doi: 10.48550/arxiv.1401.5410 · pith_short_12: ESMLJFDOY5H3 · pith_short_16: ESMLJFDOY5H3TQTM · pith_short_8: ESMLJFDO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ESMLJFDOY5H3TQTMDWQDU4ULHQ \
  | 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: 2498b4946ec74fb9c26c1da03a728b3c24f7d33434432071ad56f8d279413415
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9c6f0e81015f0554214a3cd08025ebc4c6f2a99c16922205ed6783a1c93d36bc",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-01-21T18:18:30Z",
    "title_canon_sha256": "d032faac92e6ab1d7e00764feae2297a5ab03413e2e2171f074ff63451f895ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5410",
    "kind": "arxiv",
    "version": 2
  }
}