pith. sign in
Pith Number

pith:PGGF2SZK

pith:2009:PGGF2SZKVQ764O5DLDMOLZBRTD
not attested not anchored not stored refs pending

Generalized virial theorem in Palatini $f(R)$ gravity

A. S. Sefiedgar, H. R. Sepangi, K. Atazadeh

arxiv:0908.2693 v2 · 2009-08-19 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PGGF2SZKVQ764O5DLDMOLZBRTD}

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 2026-05-18T02:12:25.321981Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

798c5d4b2aac3fee3ba358d8e5e43198e5e2a70aa0e2e6428098e6a64b1e77d8

Aliases

arxiv: 0908.2693 · arxiv_version: 0908.2693v2 · doi: 10.48550/arxiv.0908.2693 · pith_short_12: PGGF2SZKVQ76 · pith_short_16: PGGF2SZKVQ764O5D · pith_short_8: PGGF2SZK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PGGF2SZKVQ764O5DLDMOLZBRTD \
  | 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: 798c5d4b2aac3fee3ba358d8e5e43198e5e2a70aa0e2e6428098e6a64b1e77d8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "43fe03039c18f30d6da71eb30efb8a666fe1a2b55e84b8308da15ae6785c3eb9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-08-19T08:13:08Z",
    "title_canon_sha256": "76c729f01e1c887efec4fcf76d2e56fe0d77b5d966b54848ced695cd83067d09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2693",
    "kind": "arxiv",
    "version": 2
  }
}