Pith Number

pith:K4ROSBYD

pith:2020:K4ROSBYDKPFBIWO6HEUHAG5KUS

not attested not anchored not stored refs pending

On Rastall gravity formulation as a $f(R,\mathcal{L}_m)$ and a $f(R,T)$ theory

Davi C. Rodrigues, J\'ulio C. Fabris, Oliver F. Piattella

arxiv:2011.10503 v3 · 2020-11-20 · 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{K4ROSBYDKPFBIWO6HEUHAG5KUS}

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	2026-07-05T05:45:23.378198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5722e9070353ca1459de3928701baaa4ad111c9ff79454f168e6ba2d69f97a14

Aliases

arxiv: 2011.10503 · arxiv_version: 2011.10503v3 · doi: 10.48550/arxiv.2011.10503 · pith_short_12: K4ROSBYDKPFB · pith_short_16: K4ROSBYDKPFBIWO6 · pith_short_8: K4ROSBYD

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/K4ROSBYDKPFBIWO6HEUHAG5KUS \
  | 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: 5722e9070353ca1459de3928701baaa4ad111c9ff79454f168e6ba2d69f97a14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fe121503097aea53294bb755b32623bd9f2cb7856e507ef62a4addf31be355a",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-11-20T17:03:48Z",
    "title_canon_sha256": "17f8de0ce5b57e05f582885584e4192d460d0f8205dba4e21b68b5496a52167f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.10503",
    "kind": "arxiv",
    "version": 3
  }
}