Pith Number

pith:D6SHTWHM

pith:2026:D6SHTWHM6KVKZWGSNCU55PG7UX

not attested not anchored not stored refs pending

A Lagrangian formulation for Rastall gravity and a covariant formulation for unimodular gravity

Juilson A. P. Paiva, Julio C. Fabris, Vilson T. Zanchin

arxiv:2606.27761 v1 · 2026-06-26 · 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{D6SHTWHM6KVKZWGSNCU55PG7UX}

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	2026-06-29T01:14:47.718688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fa479d8ecf2aaacd8d268a9debcdfa5c699842faed70431fa602ee4d3fcb6e0

Aliases

arxiv: 2606.27761 · arxiv_version: 2606.27761v1 · doi: 10.48550/arxiv.2606.27761 · pith_short_12: D6SHTWHM6KVK · pith_short_16: D6SHTWHM6KVKZWGS · pith_short_8: D6SHTWHM

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/D6SHTWHM6KVKZWGSNCU55PG7UX \
  | 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: 1fa479d8ecf2aaacd8d268a9debcdfa5c699842faed70431fa602ee4d3fcb6e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf68b0266f6d543d8e7a2c15eccdae319a69b487f5213dfdc720473b65d21d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-26T06:41:53Z",
    "title_canon_sha256": "1e572b8492ee05db56be70f0b79fe69a8caf4c96a8f03dbc410c4e2315be426d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27761",
    "kind": "arxiv",
    "version": 1
  }
}