{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:5HCZDEEAB5OY2O2AY26IUFRARG","short_pith_number":"pith:5HCZDEEA","schema_version":"1.0","canonical_sha256":"e9c59190800f5d8d3b40c6bc8a16208982c94409269d66c961f9b6ecadb069d3","source":{"kind":"arxiv","id":"2310.01877","version":2},"attestation_state":"computed","paper":{"title":"Gravity with torsion as deformed $BF$ theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Alberto S. Cattaneo, Leon Menger, Michele Schiavina","submitted_at":"2023-10-03T08:32:22Z","abstract_excerpt":"We study a family of (possibly non topological) deformations of $BF$ theory for the Lie algebra obtained by quadratic extension of $\\mathfrak{so}(3,1)$ by an orthogonal module. The resulting theory, called quadratically extended General Relativity (qeGR), is shown to be classically equivalent to certain models of gravity with dynamical torsion. The classical equivalence is shown to promote to a stronger notion of equivalence within the Batalin--Vilkovisky formalism. In particular, both Palatini--Cartan gravity and a deformation thereof by a dynamical torsion term, called (quadratic) generalise"},"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":false},"canonical_record":{"source":{"id":"2310.01877","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-10-03T08:32:22Z","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"title_canon_sha256":"15de8600350b01811005d7ccae469f3bcd126309850df67db458fd306da19bc6","abstract_canon_sha256":"bb7f676830eaeb3067bd305db53fd0bf6295c16e8cb2e8b30167cf893a6f1ff6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:38:03.496835Z","signature_b64":"x8GkGKi30k+LJyO5tM5yaHk0HNcp6k94GrwhsTxC7ZWQonspyY0EAts+5FyAGPX4P7G6ldwPAJHYc6ibZqDdAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9c59190800f5d8d3b40c6bc8a16208982c94409269d66c961f9b6ecadb069d3","last_reissued_at":"2026-07-05T08:38:03.496401Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:38:03.496401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gravity with torsion as deformed $BF$ theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Alberto S. Cattaneo, Leon Menger, Michele Schiavina","submitted_at":"2023-10-03T08:32:22Z","abstract_excerpt":"We study a family of (possibly non topological) deformations of $BF$ theory for the Lie algebra obtained by quadratic extension of $\\mathfrak{so}(3,1)$ by an orthogonal module. The resulting theory, called quadratically extended General Relativity (qeGR), is shown to be classically equivalent to certain models of gravity with dynamical torsion. The classical equivalence is shown to promote to a stronger notion of equivalence within the Batalin--Vilkovisky formalism. In particular, both Palatini--Cartan gravity and a deformation thereof by a dynamical torsion term, called (quadratic) generalise"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.01877","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2310.01877/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":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"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":"2310.01877","created_at":"2026-07-05T08:38:03.496460+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.01877v2","created_at":"2026-07-05T08:38:03.496460+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.01877","created_at":"2026-07-05T08:38:03.496460+00:00"},{"alias_kind":"pith_short_12","alias_value":"5HCZDEEAB5OY","created_at":"2026-07-05T08:38:03.496460+00:00"},{"alias_kind":"pith_short_16","alias_value":"5HCZDEEAB5OY2O2A","created_at":"2026-07-05T08:38:03.496460+00:00"},{"alias_kind":"pith_short_8","alias_value":"5HCZDEEA","created_at":"2026-07-05T08:38:03.496460+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.20042","citing_title":"On the Plebanski Formulation with Energy Momentum","ref_index":31,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5HCZDEEAB5OY2O2AY26IUFRARG","json":"https://pith.science/pith/5HCZDEEAB5OY2O2AY26IUFRARG.json","graph_json":"https://pith.science/api/pith-number/5HCZDEEAB5OY2O2AY26IUFRARG/graph.json","events_json":"https://pith.science/api/pith-number/5HCZDEEAB5OY2O2AY26IUFRARG/events.json","paper":"https://pith.science/paper/5HCZDEEA"},"agent_actions":{"view_html":"https://pith.science/pith/5HCZDEEAB5OY2O2AY26IUFRARG","download_json":"https://pith.science/pith/5HCZDEEAB5OY2O2AY26IUFRARG.json","view_paper":"https://pith.science/paper/5HCZDEEA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.01877&json=true","fetch_graph":"https://pith.science/api/pith-number/5HCZDEEAB5OY2O2AY26IUFRARG/graph.json","fetch_events":"https://pith.science/api/pith-number/5HCZDEEAB5OY2O2AY26IUFRARG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5HCZDEEAB5OY2O2AY26IUFRARG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5HCZDEEAB5OY2O2AY26IUFRARG/action/storage_attestation","attest_author":"https://pith.science/pith/5HCZDEEAB5OY2O2AY26IUFRARG/action/author_attestation","sign_citation":"https://pith.science/pith/5HCZDEEAB5OY2O2AY26IUFRARG/action/citation_signature","submit_replication":"https://pith.science/pith/5HCZDEEAB5OY2O2AY26IUFRARG/action/replication_record"}},"created_at":"2026-07-05T08:38:03.496460+00:00","updated_at":"2026-07-05T08:38:03.496460+00:00"}