{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:CPFWHR3F4LEOOA53YMCW5JI4VL","short_pith_number":"pith:CPFWHR3F","schema_version":"1.0","canonical_sha256":"13cb63c765e2c8e703bbc3056ea51caaf0b2ad96e07dc308a415cbc4b13b9c73","source":{"kind":"arxiv","id":"1805.10125","version":1},"attestation_state":"computed","paper":{"title":"The Riemannian geometry is not sufficient for the geometrization of the Maxwell's equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"A. V. Korolkova, D. S. Kulyabov, T. R. Velieva","submitted_at":"2018-05-22T08:27:09Z","abstract_excerpt":"The transformation optics uses geometrized Maxwell's constitutive equations to solve the inverse problem of optics, namely to solve the problem of finding the parameters of the medium along the paths of the electromagnetic field propagation. The quadratic Riemannian geometry is usually used for the geometrization of Maxwell's constitutive equations, because of the usage of the general relativity approaches. However, the problem of the insufficiency of the Riemannian structure for describing the constitutive tensor of the Maxwell's equations arises. The authors analyze the structure of the cons"},"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":"1805.10125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-05-22T08:27:09Z","cross_cats_sorted":[],"title_canon_sha256":"be94b4a02c9140cb96207d6bea3554567842eafbcb50a42da26d69a4d903569d","abstract_canon_sha256":"5ca691216ef0d6c3f0f845d1ca53c26dcef56a40670e953713966acdfc54025c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:58.210128Z","signature_b64":"ADBjJPyNEJ1sBnMS5h6cdRO/eTl9E9+9yBNx/snmZ+dkLW+LalsT7TdDG2SQ3F8T55TMGqz0ba3juBLbWPnUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13cb63c765e2c8e703bbc3056ea51caaf0b2ad96e07dc308a415cbc4b13b9c73","last_reissued_at":"2026-05-18T00:14:58.209343Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:58.209343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Riemannian geometry is not sufficient for the geometrization of the Maxwell's equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"A. V. Korolkova, D. S. Kulyabov, T. R. Velieva","submitted_at":"2018-05-22T08:27:09Z","abstract_excerpt":"The transformation optics uses geometrized Maxwell's constitutive equations to solve the inverse problem of optics, namely to solve the problem of finding the parameters of the medium along the paths of the electromagnetic field propagation. The quadratic Riemannian geometry is usually used for the geometrization of Maxwell's constitutive equations, because of the usage of the general relativity approaches. However, the problem of the insufficiency of the Riemannian structure for describing the constitutive tensor of the Maxwell's equations arises. The authors analyze the structure of the cons"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10125","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":"1805.10125","created_at":"2026-05-18T00:14:58.209458+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.10125v1","created_at":"2026-05-18T00:14:58.209458+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10125","created_at":"2026-05-18T00:14:58.209458+00:00"},{"alias_kind":"pith_short_12","alias_value":"CPFWHR3F4LEO","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"CPFWHR3F4LEOOA53","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"CPFWHR3F","created_at":"2026-05-18T12:32:16.446611+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/CPFWHR3F4LEOOA53YMCW5JI4VL","json":"https://pith.science/pith/CPFWHR3F4LEOOA53YMCW5JI4VL.json","graph_json":"https://pith.science/api/pith-number/CPFWHR3F4LEOOA53YMCW5JI4VL/graph.json","events_json":"https://pith.science/api/pith-number/CPFWHR3F4LEOOA53YMCW5JI4VL/events.json","paper":"https://pith.science/paper/CPFWHR3F"},"agent_actions":{"view_html":"https://pith.science/pith/CPFWHR3F4LEOOA53YMCW5JI4VL","download_json":"https://pith.science/pith/CPFWHR3F4LEOOA53YMCW5JI4VL.json","view_paper":"https://pith.science/paper/CPFWHR3F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.10125&json=true","fetch_graph":"https://pith.science/api/pith-number/CPFWHR3F4LEOOA53YMCW5JI4VL/graph.json","fetch_events":"https://pith.science/api/pith-number/CPFWHR3F4LEOOA53YMCW5JI4VL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CPFWHR3F4LEOOA53YMCW5JI4VL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CPFWHR3F4LEOOA53YMCW5JI4VL/action/storage_attestation","attest_author":"https://pith.science/pith/CPFWHR3F4LEOOA53YMCW5JI4VL/action/author_attestation","sign_citation":"https://pith.science/pith/CPFWHR3F4LEOOA53YMCW5JI4VL/action/citation_signature","submit_replication":"https://pith.science/pith/CPFWHR3F4LEOOA53YMCW5JI4VL/action/replication_record"}},"created_at":"2026-05-18T00:14:58.209458+00:00","updated_at":"2026-05-18T00:14:58.209458+00:00"}