Pith Number

pith:2WIXVRMZ

pith:2012:2WIXVRMZ3WFVMFAS5GDDZYIFMM

not attested not anchored not stored refs pending

On analytical solutions of f(R) modified gravity theories in FLRW cosmologies

Hrvoje Stefancic, Marko Simonovic, Silvije Domazet, Voja Radovanovic

arxiv:1203.5220 v5 · 2012-03-23 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WIXVRMZ3WFVMFAS5GDDZYIFMM}

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	2026-05-18T03:29:38.649381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5917ac599dd8b561412e9863ce1056308af75ec82f53abfc6b87d0534d1c39d

Aliases

arxiv: 1203.5220 · arxiv_version: 1203.5220v5 · doi: 10.48550/arxiv.1203.5220 · pith_short_12: 2WIXVRMZ3WFV · pith_short_16: 2WIXVRMZ3WFVMFAS · pith_short_8: 2WIXVRMZ

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/2WIXVRMZ3WFVMFAS5GDDZYIFMM \
  | 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: d5917ac599dd8b561412e9863ce1056308af75ec82f53abfc6b87d0534d1c39d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c07ca86e132e7577af681733e50955823bdce4f0648d9bd8789e9ffadd27eaa",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-23T11:58:46Z",
    "title_canon_sha256": "5fe2b4cf20dd9bac0e4e3fdb0f304fd6fae2636a3812fa22c702b38d03a0b4b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5220",
    "kind": "arxiv",
    "version": 5
  }
}