{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:VRC5WXZAHFGXJEFIMBL3VJ66JD","short_pith_number":"pith:VRC5WXZA","schema_version":"1.0","canonical_sha256":"ac45db5f20394d7490a86057baa7de48cbe82923bcebd7fe627c3b0f0f3e4698","source":{"kind":"arxiv","id":"2409.07153","version":3},"attestation_state":"computed","paper":{"title":"Algebraic classification of the gravitational field in general metric-affine geometries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Jorge Gigante Valcarcel, Jos\\'e M. M. Senovilla, Sebastian Bahamonde","submitted_at":"2024-09-11T09:57:44Z","abstract_excerpt":"We present the algebraic classification of the gravitational field in four-dimensional general metric-affine geometries, thus extending the current results of the literature in the particular framework of Weyl-Cartan geometry by the presence of the traceless nonmetricity tensor. This quantity switches on four of the eleven fundamental parts of the irreducible representation of the curvature tensor under the pseudo-orthogonal group, in such a way that three of them present similar algebraic types as the ones obtained in Weyl-Cartan geometry, whereas the remaining one includes thirty independent"},"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":"2409.07153","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-11T09:57:44Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"3f75a5a66da314510ee0ebac399d7657d88818ed95557e5ac45dd97bcccb35ef","abstract_canon_sha256":"d84daceb57b57e08707e183000e622849cb0231eace5814d4f18f799d069359f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:53:04.767260Z","signature_b64":"MbHaAW7Ul11gDs1N0/0L++2sYWzEy1iMbaF1+irOh7ZUlsDIC8W99ampirnbOAeo525/n5swR3FUjffaAeImCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac45db5f20394d7490a86057baa7de48cbe82923bcebd7fe627c3b0f0f3e4698","last_reissued_at":"2026-07-05T09:53:04.766795Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:53:04.766795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebraic classification of the gravitational field in general metric-affine geometries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Jorge Gigante Valcarcel, Jos\\'e M. M. Senovilla, Sebastian Bahamonde","submitted_at":"2024-09-11T09:57:44Z","abstract_excerpt":"We present the algebraic classification of the gravitational field in four-dimensional general metric-affine geometries, thus extending the current results of the literature in the particular framework of Weyl-Cartan geometry by the presence of the traceless nonmetricity tensor. This quantity switches on four of the eleven fundamental parts of the irreducible representation of the curvature tensor under the pseudo-orthogonal group, in such a way that three of them present similar algebraic types as the ones obtained in Weyl-Cartan geometry, whereas the remaining one includes thirty independent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.07153","kind":"arxiv","version":3},"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/2409.07153/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":"2409.07153","created_at":"2026-07-05T09:53:04.766850+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.07153v3","created_at":"2026-07-05T09:53:04.766850+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.07153","created_at":"2026-07-05T09:53:04.766850+00:00"},{"alias_kind":"pith_short_12","alias_value":"VRC5WXZAHFGX","created_at":"2026-07-05T09:53:04.766850+00:00"},{"alias_kind":"pith_short_16","alias_value":"VRC5WXZAHFGXJEFI","created_at":"2026-07-05T09:53:04.766850+00:00"},{"alias_kind":"pith_short_8","alias_value":"VRC5WXZA","created_at":"2026-07-05T09:53:04.766850+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/VRC5WXZAHFGXJEFIMBL3VJ66JD","json":"https://pith.science/pith/VRC5WXZAHFGXJEFIMBL3VJ66JD.json","graph_json":"https://pith.science/api/pith-number/VRC5WXZAHFGXJEFIMBL3VJ66JD/graph.json","events_json":"https://pith.science/api/pith-number/VRC5WXZAHFGXJEFIMBL3VJ66JD/events.json","paper":"https://pith.science/paper/VRC5WXZA"},"agent_actions":{"view_html":"https://pith.science/pith/VRC5WXZAHFGXJEFIMBL3VJ66JD","download_json":"https://pith.science/pith/VRC5WXZAHFGXJEFIMBL3VJ66JD.json","view_paper":"https://pith.science/paper/VRC5WXZA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.07153&json=true","fetch_graph":"https://pith.science/api/pith-number/VRC5WXZAHFGXJEFIMBL3VJ66JD/graph.json","fetch_events":"https://pith.science/api/pith-number/VRC5WXZAHFGXJEFIMBL3VJ66JD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VRC5WXZAHFGXJEFIMBL3VJ66JD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VRC5WXZAHFGXJEFIMBL3VJ66JD/action/storage_attestation","attest_author":"https://pith.science/pith/VRC5WXZAHFGXJEFIMBL3VJ66JD/action/author_attestation","sign_citation":"https://pith.science/pith/VRC5WXZAHFGXJEFIMBL3VJ66JD/action/citation_signature","submit_replication":"https://pith.science/pith/VRC5WXZAHFGXJEFIMBL3VJ66JD/action/replication_record"}},"created_at":"2026-07-05T09:53:04.766850+00:00","updated_at":"2026-07-05T09:53:04.766850+00:00"}