{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:7ME34LZOPDPVVKPEPAFRBEOPZB","short_pith_number":"pith:7ME34LZO","schema_version":"1.0","canonical_sha256":"fb09be2f2e78df5aa9e4780b1091cfc854796ec3efb213571e480cfa3b6662ea","source":{"kind":"arxiv","id":"2112.03628","version":1},"attestation_state":"computed","paper":{"title":"Spinor fields in $f(\\mathcal{Q})$-gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Fabrizio Esposito, Luca Fabbri, Roberto Cianci, Sante Carloni, Stefano Vignolo","submitted_at":"2021-12-07T10:58:21Z","abstract_excerpt":"We present a tetrad-affine approach to $f(\\mathcal{Q})$ gravity coupled to spinor fields of spin-1/2. After deriving the field equations, we derive the conservation law of the spin density, showing that the latter ensures the vanishing of the antisymmetric part of the Einstein-like equations, just as it happens in theories with torsion and metricity. We then focus on Bianchi type-I cosmological models proposing a general procedure to solve the corresponding field equations and providing analytical solutions in the case of gravitational Lagrangian functions of the kind $f(\\mathcal{Q})=\\alpha\\ma"},"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":"2112.03628","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-12-07T10:58:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"bb24e487e0ba4e2bc0193144e004c8094fcecfc0b35188c66a71bff8c4f0fb47","abstract_canon_sha256":"b3fc3cde6820e5d6b6ddc70923e4bfa5994e28ea5f749390a43d07cb74c4b7f3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:42:56.124172Z","signature_b64":"KpiLQbugYPY7ovaLZQZePQG37figHQEzcHQij01WkyfeRbEMCoAnXFn5bzwPELsR5YPWuR/UGeIkDQQdpcVxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb09be2f2e78df5aa9e4780b1091cfc854796ec3efb213571e480cfa3b6662ea","last_reissued_at":"2026-07-05T03:42:56.123771Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:42:56.123771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spinor fields in $f(\\mathcal{Q})$-gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Fabrizio Esposito, Luca Fabbri, Roberto Cianci, Sante Carloni, Stefano Vignolo","submitted_at":"2021-12-07T10:58:21Z","abstract_excerpt":"We present a tetrad-affine approach to $f(\\mathcal{Q})$ gravity coupled to spinor fields of spin-1/2. After deriving the field equations, we derive the conservation law of the spin density, showing that the latter ensures the vanishing of the antisymmetric part of the Einstein-like equations, just as it happens in theories with torsion and metricity. We then focus on Bianchi type-I cosmological models proposing a general procedure to solve the corresponding field equations and providing analytical solutions in the case of gravitational Lagrangian functions of the kind $f(\\mathcal{Q})=\\alpha\\ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.03628","kind":"arxiv","version":1},"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/2112.03628/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":"2112.03628","created_at":"2026-07-05T03:42:56.123838+00:00"},{"alias_kind":"arxiv_version","alias_value":"2112.03628v1","created_at":"2026-07-05T03:42:56.123838+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.03628","created_at":"2026-07-05T03:42:56.123838+00:00"},{"alias_kind":"pith_short_12","alias_value":"7ME34LZOPDPV","created_at":"2026-07-05T03:42:56.123838+00:00"},{"alias_kind":"pith_short_16","alias_value":"7ME34LZOPDPVVKPE","created_at":"2026-07-05T03:42:56.123838+00:00"},{"alias_kind":"pith_short_8","alias_value":"7ME34LZO","created_at":"2026-07-05T03:42:56.123838+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7ME34LZOPDPVVKPEPAFRBEOPZB","json":"https://pith.science/pith/7ME34LZOPDPVVKPEPAFRBEOPZB.json","graph_json":"https://pith.science/api/pith-number/7ME34LZOPDPVVKPEPAFRBEOPZB/graph.json","events_json":"https://pith.science/api/pith-number/7ME34LZOPDPVVKPEPAFRBEOPZB/events.json","paper":"https://pith.science/paper/7ME34LZO"},"agent_actions":{"view_html":"https://pith.science/pith/7ME34LZOPDPVVKPEPAFRBEOPZB","download_json":"https://pith.science/pith/7ME34LZOPDPVVKPEPAFRBEOPZB.json","view_paper":"https://pith.science/paper/7ME34LZO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2112.03628&json=true","fetch_graph":"https://pith.science/api/pith-number/7ME34LZOPDPVVKPEPAFRBEOPZB/graph.json","fetch_events":"https://pith.science/api/pith-number/7ME34LZOPDPVVKPEPAFRBEOPZB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7ME34LZOPDPVVKPEPAFRBEOPZB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7ME34LZOPDPVVKPEPAFRBEOPZB/action/storage_attestation","attest_author":"https://pith.science/pith/7ME34LZOPDPVVKPEPAFRBEOPZB/action/author_attestation","sign_citation":"https://pith.science/pith/7ME34LZOPDPVVKPEPAFRBEOPZB/action/citation_signature","submit_replication":"https://pith.science/pith/7ME34LZOPDPVVKPEPAFRBEOPZB/action/replication_record"}},"created_at":"2026-07-05T03:42:56.123838+00:00","updated_at":"2026-07-05T03:42:56.123838+00:00"}