Pith Number

pith:CTKL3Z7O

pith:2010:CTKL3Z7O6WMFPAVGKEZOAEQR5L

not attested not anchored not stored refs pending

Palatini formulation of modified gravity with a nonminimal curvature-matter coupling

Francisco S. N. Lobo, Tiberiu Harko, Tomi S. Koivisto

arxiv:1007.4415 v2 · 2010-07-26 · gr-qc · astro-ph.HE · 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{CTKL3Z7O6WMFPAVGKEZOAEQR5L}

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	2026-05-18T04:18:54.656678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d4bde7eef5985782a65132e01211eaece847e01a38da55a8d7104adb11896f

Aliases

arxiv: 1007.4415 · arxiv_version: 1007.4415v2 · doi: 10.48550/arxiv.1007.4415 · pith_short_12: CTKL3Z7O6WMF · pith_short_16: CTKL3Z7O6WMFPAVG · pith_short_8: CTKL3Z7O

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/CTKL3Z7O6WMFPAVGKEZOAEQR5L \
  | 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: 14d4bde7eef5985782a65132e01211eaece847e01a38da55a8d7104adb11896f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df7192e21dc3726c97b1a68432dbcf92a4e1eb9a20092abca81ced9017bd8b41",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-07-26T10:15:32Z",
    "title_canon_sha256": "34e9113c18a345664e3631596852b2206cd2279a513ee74c57c89737a3a98e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4415",
    "kind": "arxiv",
    "version": 2
  }
}