Pith Number

pith:5JZIFUCY

pith:2020:5JZIFUCYMM652HJQY5ZGF22ZZ5

not attested not anchored not stored refs pending

Rastall's theory of gravity: Spherically symmetric solutions and the stability problem

Denis C. Rodrigues, Edison C.O. Santos, J\'ulio C. Fabris, K.A. Bronnikov, Oliver F. Piattella

arxiv:2007.01945 v1 · 2020-07-03 · gr-qc · 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{5JZIFUCYMM652HJQY5ZGF22ZZ5}

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	2026-07-05T02:17:27.507066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7282d058633ddd1d30c77262eb59cf7cb222d1746c1e23753c8f9ad507b28f

Aliases

arxiv: 2007.01945 · arxiv_version: 2007.01945v1 · doi: 10.48550/arxiv.2007.01945 · pith_short_12: 5JZIFUCYMM65 · pith_short_16: 5JZIFUCYMM652HJQ · pith_short_8: 5JZIFUCY

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/5JZIFUCYMM652HJQY5ZGF22ZZ5 \
  | 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: ea7282d058633ddd1d30c77262eb59cf7cb222d1746c1e23753c8f9ad507b28f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6276bed4e514780b2ae0d9fc3eca45ee1625b1b7f57a8556ba67094563a76cca",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-03T21:47:54Z",
    "title_canon_sha256": "46ddc66d8a93b0a7f62b3e51e0185b5afaf8d7178d56129a7f70eba31d0966b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.01945",
    "kind": "arxiv",
    "version": 1
  }
}