{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1995:A2MB66HCU5CJUNVNQEE2MKZVVZ","short_pith_number":"pith:A2MB66HC","schema_version":"1.0","canonical_sha256":"06981f78e2a7449a36ad8109a62b35ae66b778f52dd7b5e9e9f72632ebbb54dc","source":{"kind":"arxiv","id":"gr-qc/9506031","version":1},"attestation_state":"computed","paper":{"title":"Classification of Second Order Symmetric Tensors in 5-Dimensional Kaluza-Klein-Type Theories","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"A.F.F. Teixeira, J. Santos, M.J. Reboucas","submitted_at":"1995-06-17T01:51:15Z","abstract_excerpt":"An algebraic classification of second order symmetric tensors in 5-dimensional Kaluza-Klein-type Lorentzian spaces is presented by using Jordan matrices. We show that the possible Segre types are $[1,1111]$, [2111], [311], [z,\\bar{z},111], and the degeneracies thereof. A set of canonical forms for each Segre type is found. The possible continuous groups of symmetry for each canonical form are also studied."},"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":"gr-qc/9506031","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1995-06-17T01:51:15Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"0758dfea00d4c08101c0829c3edb6d42a62ba3ec4ef78a0e0c85e91f0960b79f","abstract_canon_sha256":"af9943e28a2fe6a8f1f1c637e76d722cacbe1221f10af8955e95a8bf01619abc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:19.596679Z","signature_b64":"n9jVhHDiQW/hhK2b/9CrwtSoI3FJPCeN4OqWEoQc4grQr8CUNe4xNZIkEHcPTNzXxGC1xiTbCfCEpFTr2GfWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06981f78e2a7449a36ad8109a62b35ae66b778f52dd7b5e9e9f72632ebbb54dc","last_reissued_at":"2026-05-18T01:39:19.596039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:19.596039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of Second Order Symmetric Tensors in 5-Dimensional Kaluza-Klein-Type Theories","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"A.F.F. Teixeira, J. Santos, M.J. Reboucas","submitted_at":"1995-06-17T01:51:15Z","abstract_excerpt":"An algebraic classification of second order symmetric tensors in 5-dimensional Kaluza-Klein-type Lorentzian spaces is presented by using Jordan matrices. We show that the possible Segre types are $[1,1111]$, [2111], [311], [z,\\bar{z},111], and the degeneracies thereof. A set of canonical forms for each Segre type is found. The possible continuous groups of symmetry for each canonical form are also studied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9506031","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":""},"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":"gr-qc/9506031","created_at":"2026-05-18T01:39:19.596129+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9506031v1","created_at":"2026-05-18T01:39:19.596129+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9506031","created_at":"2026-05-18T01:39:19.596129+00:00"},{"alias_kind":"pith_short_12","alias_value":"A2MB66HCU5CJ","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_16","alias_value":"A2MB66HCU5CJUNVN","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_8","alias_value":"A2MB66HC","created_at":"2026-05-18T12:25:47.700082+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/A2MB66HCU5CJUNVNQEE2MKZVVZ","json":"https://pith.science/pith/A2MB66HCU5CJUNVNQEE2MKZVVZ.json","graph_json":"https://pith.science/api/pith-number/A2MB66HCU5CJUNVNQEE2MKZVVZ/graph.json","events_json":"https://pith.science/api/pith-number/A2MB66HCU5CJUNVNQEE2MKZVVZ/events.json","paper":"https://pith.science/paper/A2MB66HC"},"agent_actions":{"view_html":"https://pith.science/pith/A2MB66HCU5CJUNVNQEE2MKZVVZ","download_json":"https://pith.science/pith/A2MB66HCU5CJUNVNQEE2MKZVVZ.json","view_paper":"https://pith.science/paper/A2MB66HC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9506031&json=true","fetch_graph":"https://pith.science/api/pith-number/A2MB66HCU5CJUNVNQEE2MKZVVZ/graph.json","fetch_events":"https://pith.science/api/pith-number/A2MB66HCU5CJUNVNQEE2MKZVVZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A2MB66HCU5CJUNVNQEE2MKZVVZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A2MB66HCU5CJUNVNQEE2MKZVVZ/action/storage_attestation","attest_author":"https://pith.science/pith/A2MB66HCU5CJUNVNQEE2MKZVVZ/action/author_attestation","sign_citation":"https://pith.science/pith/A2MB66HCU5CJUNVNQEE2MKZVVZ/action/citation_signature","submit_replication":"https://pith.science/pith/A2MB66HCU5CJUNVNQEE2MKZVVZ/action/replication_record"}},"created_at":"2026-05-18T01:39:19.596129+00:00","updated_at":"2026-05-18T01:39:19.596129+00:00"}