pith. sign in
Pith Number

pith:4C2PAKAZ

pith:2009:4C2PAKAZS4KX622ZSHJKBG2ZCQ
not attested not anchored not stored refs pending

Axially symmetric solutions in f(R)-gravity

Arturo Stabile, Mariafelicia De Laurentis, Salvatore Capozziello

arxiv:0912.5286 v2 · 2009-12-29 · gr-qc · astro-ph.CO · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4C2PAKAZS4KX622ZSHJKBG2ZCQ}

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 2026-05-18T02:33:55.195531Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e0b4f0281997157f6b5991d2a09b59142bec5b8725b018cf2ae885e87845b0b9

Aliases

arxiv: 0912.5286 · arxiv_version: 0912.5286v2 · doi: 10.48550/arxiv.0912.5286 · pith_short_12: 4C2PAKAZS4KX · pith_short_16: 4C2PAKAZS4KX622Z · pith_short_8: 4C2PAKAZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4C2PAKAZS4KX622ZSHJKBG2ZCQ \
  | 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: e0b4f0281997157f6b5991d2a09b59142bec5b8725b018cf2ae885e87845b0b9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "471163393ccc452b1c0ad16232022ee9a90525889bdc1f409b077f20bdb7254e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-12-29T10:14:17Z",
    "title_canon_sha256": "31518add3aa163523c74a795d6f3db9f8bad247be1eceb84ecbdebf0b21d19a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5286",
    "kind": "arxiv",
    "version": 2
  }
}