Pith Number

pith:X5T4WMBI

pith:2012:X5T4WMBIQD6G5FWKPJWBL3GO6M

not attested not anchored not stored refs pending

New Spherically Symmetric Solutions in f(R)-gravity by Noether Symmetries

D. Vernieri, N. Frusciante, S. Capozziello

arxiv:1204.4650 v1 · 2012-04-20 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5T4WMBIQD6G5FWKPJWBL3GO6M}

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	2026-05-18T01:57:48.076372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf67cb302880fc6e96ca7a6c15eccef31268f3ff6f3113d506090013a0ed5807

Aliases

arxiv: 1204.4650 · arxiv_version: 1204.4650v1 · doi: 10.48550/arxiv.1204.4650 · pith_short_12: X5T4WMBIQD6G · pith_short_16: X5T4WMBIQD6G5FWK · pith_short_8: X5T4WMBI

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/X5T4WMBIQD6G5FWKPJWBL3GO6M \
  | 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: bf67cb302880fc6e96ca7a6c15eccef31268f3ff6f3113d506090013a0ed5807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "798d90cf200cce31e1ed8360e5d9a25d83c80a36a2701823c7cb1a25e319845e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-04-20T14:50:36Z",
    "title_canon_sha256": "3371facd3bcb0a5ccf5af30f1e85188dcda299b66ee0be88a1cd06ec24ee8536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4650",
    "kind": "arxiv",
    "version": 1
  }
}