Pith Number

pith:FZ6HPV42

pith:2026:FZ6HPV42Z24ZHKRORQJUTWZBBU

not attested not anchored not stored refs pending

Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature

2) ((1) Universidad Industrial de Santander, (2) Universidad Antonio Narino), Jhan N. Martinez (1), Jose F. Rodriguez-Ruiz (2), Yeinzon Rodriguez (1

Jacobson's thermodynamic approach selects Einstein-Hilbert action plus quadratic torsion term for non-Riemannian geometries without non-metricity.

arxiv:2602.00422 v3 · 2026-01-31 · 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{FZ6HPV42Z24ZHKRORQJUTWZBBU}

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.

Claims

C1strongest claim

Together, the two approaches point towards the theory that derives from the Einstein-Hilbert action plus a term quadratic in the torsion vector as the one that would be selected by Nature in the non-Riemannian case without non metricity (when the energy-momentum tensor is identified as its metric version).

C2weakest assumption

The hypotheses employed in the formulation of the Lanczos-Lovelock theories of gravity can be applied to the non-Riemannian case, and the thermodynamic and Lanczos-Lovelock approaches remain consistent only for specific identifications of the energy-momentum tensor and absence of non-metricity.

C3one line summary

Jacobson's thermodynamic approach applied to non-Riemannian geometries selects the Einstein-Hilbert action plus a quadratic torsion term as Nature's choice when non-metricity is absent and the metric energy-momentum tensor is used.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-27T01:04:55.541926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7c77d79aceb993aa2e8c1349db210d0709882f34ab4406bfd4047af925bfee

Aliases

arxiv: 2602.00422 · arxiv_version: 2602.00422v3 · doi: 10.48550/arxiv.2602.00422 · pith_short_12: FZ6HPV42Z24Z · pith_short_16: FZ6HPV42Z24ZHKRO · pith_short_8: FZ6HPV42

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/FZ6HPV42Z24ZHKRORQJUTWZBBU \
  | 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: 2e7c77d79aceb993aa2e8c1349db210d0709882f34ab4406bfd4047af925bfee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7316de5aeba1622e4ce3b469b4bf13ad66cd32e5e3ba1d469c2c5c5fb8bb86c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-01-31T00:19:38Z",
    "title_canon_sha256": "7bbc83d951887f3853b1c65d1789554de6d2ed094fbe4360f47469219794c127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.00422",
    "kind": "arxiv",
    "version": 3
  }
}