Pith Number

pith:6ZNI4DNN

pith:2013:6ZNI4DNN44UW5R75PMOLSFOIB5

not attested not anchored not stored refs pending

New proposal for non-linear ghost-free massive $F(R)$ gravity: cosmic acceleration and Hamiltonian analysis

Josef Kluso\v{n}, Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:1309.2185 v2 · 2013-09-09 · hep-th · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZNI4DNN44UW5R75PMOLSFOIB5}

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	2026-05-18T01:47:44.226227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f65a8e0dade7296ec7fd7b1cb915c80f4149caa86819a7f6782985187925f1e7

Aliases

arxiv: 1309.2185 · arxiv_version: 1309.2185v2 · doi: 10.48550/arxiv.1309.2185 · pith_short_12: 6ZNI4DNN44UW · pith_short_16: 6ZNI4DNN44UW5R75 · pith_short_8: 6ZNI4DNN

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/6ZNI4DNN44UW5R75PMOLSFOIB5 \
  | 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: f65a8e0dade7296ec7fd7b1cb915c80f4149caa86819a7f6782985187925f1e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c14d9dda8a3c0b9207d0d2258b3e3313f70095cf328e1f5818e6ad400f90416",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-09-09T15:10:35Z",
    "title_canon_sha256": "6f1141b29dba8fac3ad189255d0e08b6596a92c5ab88ee9c6aebb762aaed9fba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2185",
    "kind": "arxiv",
    "version": 2
  }
}