{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:FZ6HPV42Z24ZHKRORQJUTWZBBU","short_pith_number":"pith:FZ6HPV42","schema_version":"1.0","canonical_sha256":"2e7c77d79aceb993aa2e8c1349db210d0709882f34ab4406bfd4047af925bfee","source":{"kind":"arxiv","id":"2602.00422","version":3},"attestation_state":"computed","paper":{"title":"Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Jacobson's thermodynamic approach selects Einstein-Hilbert action plus quadratic torsion term for non-Riemannian geometries without non-metricity.","cross_cats":[],"primary_cat":"gr-qc","authors_text":"2) ((1) Universidad Industrial de Santander, (2) Universidad Antonio Narino), Jhan N. Martinez (1), Jose F. Rodriguez-Ruiz (2), Yeinzon Rodriguez (1","submitted_at":"2026-01-31T00:19:38Z","abstract_excerpt":"Three decades ago, Ted Jacobson surprised us with a very appealing approach to classical gravity. According to him, the gravitational field equations are the consequence of the first law of thermodynamics applied to a Rindler observer. Jacobson's approach being formulated for Riemannian geometries, we have wondered what its consequences would be for non-Riemannian geometries. The results of our quest have been particularly appealing: we have found that the theory that derives from the Einstein-Hilbert action, arguably ``the simplest one'', does not belong to the pool of gravitational theories "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":true},"canonical_record":{"source":{"id":"2602.00422","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-01-31T00:19:38Z","cross_cats_sorted":[],"title_canon_sha256":"7bbc83d951887f3853b1c65d1789554de6d2ed094fbe4360f47469219794c127","abstract_canon_sha256":"7316de5aeba1622e4ce3b469b4bf13ad66cd32e5e3ba1d469c2c5c5fb8bb86c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:04:55.542497Z","signature_b64":"NTqFtLfdCAwCyD3rNkWF5yawaGr+ch95gCuBDpMHUg0Bg0xZar9s+9haFbIUq7oRqKlcARaw/xS1E9RKJ96FBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e7c77d79aceb993aa2e8c1349db210d0709882f34ab4406bfd4047af925bfee","last_reissued_at":"2026-05-27T01:04:55.541926Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:04:55.541926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Jacobson's thermodynamic approach selects Einstein-Hilbert action plus quadratic torsion term for non-Riemannian geometries without non-metricity.","cross_cats":[],"primary_cat":"gr-qc","authors_text":"2) ((1) Universidad Industrial de Santander, (2) Universidad Antonio Narino), Jhan N. Martinez (1), Jose F. Rodriguez-Ruiz (2), Yeinzon Rodriguez (1","submitted_at":"2026-01-31T00:19:38Z","abstract_excerpt":"Three decades ago, Ted Jacobson surprised us with a very appealing approach to classical gravity. According to him, the gravitational field equations are the consequence of the first law of thermodynamics applied to a Rindler observer. Jacobson's approach being formulated for Riemannian geometries, we have wondered what its consequences would be for non-Riemannian geometries. The results of our quest have been particularly appealing: we have found that the theory that derives from the Einstein-Hilbert action, arguably ``the simplest one'', does not belong to the pool of gravitational theories "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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).","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"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.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"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.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Jacobson's thermodynamic approach selects Einstein-Hilbert action plus quadratic torsion term for non-Riemannian geometries without non-metricity.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"f038a4822fb2d47e4b47e0e009024a4ecbb19827076d09526558bbd5a0394577"},"source":{"id":"2602.00422","kind":"arxiv","version":3},"verdict":{"id":"a03dcf8d-3994-4f0b-9309-b68cf011c3ab","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T09:30:34.512720Z","strongest_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).","one_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.","pipeline_version":"pith-pipeline@v0.9.0","weakest_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.","pith_extraction_headline":"Jacobson's thermodynamic approach selects Einstein-Hilbert action plus quadratic torsion term for non-Riemannian geometries without non-metricity."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.00422/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"15682a026881235ff381ecd03f4741e0353430bdd572441a701dc6c16a6d5cfb"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2602.00422","created_at":"2026-05-27T01:04:55.542005+00:00"},{"alias_kind":"arxiv_version","alias_value":"2602.00422v3","created_at":"2026-05-27T01:04:55.542005+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.00422","created_at":"2026-05-27T01:04:55.542005+00:00"},{"alias_kind":"pith_short_12","alias_value":"FZ6HPV42Z24Z","created_at":"2026-05-27T01:04:55.542005+00:00"},{"alias_kind":"pith_short_16","alias_value":"FZ6HPV42Z24ZHKRO","created_at":"2026-05-27T01:04:55.542005+00:00"},{"alias_kind":"pith_short_8","alias_value":"FZ6HPV42","created_at":"2026-05-27T01:04:55.542005+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FZ6HPV42Z24ZHKRORQJUTWZBBU","json":"https://pith.science/pith/FZ6HPV42Z24ZHKRORQJUTWZBBU.json","graph_json":"https://pith.science/api/pith-number/FZ6HPV42Z24ZHKRORQJUTWZBBU/graph.json","events_json":"https://pith.science/api/pith-number/FZ6HPV42Z24ZHKRORQJUTWZBBU/events.json","paper":"https://pith.science/paper/FZ6HPV42"},"agent_actions":{"view_html":"https://pith.science/pith/FZ6HPV42Z24ZHKRORQJUTWZBBU","download_json":"https://pith.science/pith/FZ6HPV42Z24ZHKRORQJUTWZBBU.json","view_paper":"https://pith.science/paper/FZ6HPV42","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2602.00422&json=true","fetch_graph":"https://pith.science/api/pith-number/FZ6HPV42Z24ZHKRORQJUTWZBBU/graph.json","fetch_events":"https://pith.science/api/pith-number/FZ6HPV42Z24ZHKRORQJUTWZBBU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FZ6HPV42Z24ZHKRORQJUTWZBBU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FZ6HPV42Z24ZHKRORQJUTWZBBU/action/storage_attestation","attest_author":"https://pith.science/pith/FZ6HPV42Z24ZHKRORQJUTWZBBU/action/author_attestation","sign_citation":"https://pith.science/pith/FZ6HPV42Z24ZHKRORQJUTWZBBU/action/citation_signature","submit_replication":"https://pith.science/pith/FZ6HPV42Z24ZHKRORQJUTWZBBU/action/replication_record"}},"created_at":"2026-05-27T01:04:55.542005+00:00","updated_at":"2026-05-27T01:04:55.542005+00:00"}