{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:JUANHOEKALIIFMWUY2GWE67W55","short_pith_number":"pith:JUANHOEK","schema_version":"1.0","canonical_sha256":"4d00d3b88a02d082b2d4c68d627bf6ef4ed6735c5a35e7cd15b8996cfdce1dae","source":{"kind":"arxiv","id":"1512.08203","version":3},"attestation_state":"computed","paper":{"title":"Differential invariants on symplectic spinors in contact projective geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.FA","math.MP"],"primary_cat":"math.RT","authors_text":"Libor K\\v{r}i\\v{z}ka, Petr Somberg","submitted_at":"2015-12-27T11:20:42Z","abstract_excerpt":"We present a complete classification and the construction of $\\mathrm{Mp}(2n+2,\\mathbb{R})$-equivariant differential operators acting on the principal series representations, associated to the contact projective geometry on $\\mathbb{RP}^{2n+1}$ and induced from the irreducible $\\mathrm{Mp}(2n,\\mathbb{R})$-submodules of the Segal-Shale-Weil representation twisted by a one-parameter family of characters. The proof is based on the classification of homomorphisms of generalized Verma modules for the Segal-Shale-Weil representation twisted by a one-parameter family of characters, together with a ge"},"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":"1512.08203","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-12-27T11:20:42Z","cross_cats_sorted":["math-ph","math.DG","math.FA","math.MP"],"title_canon_sha256":"4d0229c9a4fbce2e88ccd8a86753f8a1ab6957590ff552de93d040ee15699df7","abstract_canon_sha256":"150954c3f7b298279fd648d8f0f26125c9b7a5228beb3444152b5286009559bf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:20.345978Z","signature_b64":"FERzkcNZpITIpaCViMoKGyEsORm7TarpSxFgHL9Yy5xTubzUFpSWPuIANpWiOSnn1qHq7KgsXFG7B0kU9b7YBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d00d3b88a02d082b2d4c68d627bf6ef4ed6735c5a35e7cd15b8996cfdce1dae","last_reissued_at":"2026-05-18T00:48:20.345073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:20.345073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Differential invariants on symplectic spinors in contact projective geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.FA","math.MP"],"primary_cat":"math.RT","authors_text":"Libor K\\v{r}i\\v{z}ka, Petr Somberg","submitted_at":"2015-12-27T11:20:42Z","abstract_excerpt":"We present a complete classification and the construction of $\\mathrm{Mp}(2n+2,\\mathbb{R})$-equivariant differential operators acting on the principal series representations, associated to the contact projective geometry on $\\mathbb{RP}^{2n+1}$ and induced from the irreducible $\\mathrm{Mp}(2n,\\mathbb{R})$-submodules of the Segal-Shale-Weil representation twisted by a one-parameter family of characters. The proof is based on the classification of homomorphisms of generalized Verma modules for the Segal-Shale-Weil representation twisted by a one-parameter family of characters, together with a ge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08203","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":""},"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":"1512.08203","created_at":"2026-05-18T00:48:20.345224+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.08203v3","created_at":"2026-05-18T00:48:20.345224+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08203","created_at":"2026-05-18T00:48:20.345224+00:00"},{"alias_kind":"pith_short_12","alias_value":"JUANHOEKALII","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"JUANHOEKALIIFMWU","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"JUANHOEK","created_at":"2026-05-18T12:29:27.538025+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/JUANHOEKALIIFMWUY2GWE67W55","json":"https://pith.science/pith/JUANHOEKALIIFMWUY2GWE67W55.json","graph_json":"https://pith.science/api/pith-number/JUANHOEKALIIFMWUY2GWE67W55/graph.json","events_json":"https://pith.science/api/pith-number/JUANHOEKALIIFMWUY2GWE67W55/events.json","paper":"https://pith.science/paper/JUANHOEK"},"agent_actions":{"view_html":"https://pith.science/pith/JUANHOEKALIIFMWUY2GWE67W55","download_json":"https://pith.science/pith/JUANHOEKALIIFMWUY2GWE67W55.json","view_paper":"https://pith.science/paper/JUANHOEK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.08203&json=true","fetch_graph":"https://pith.science/api/pith-number/JUANHOEKALIIFMWUY2GWE67W55/graph.json","fetch_events":"https://pith.science/api/pith-number/JUANHOEKALIIFMWUY2GWE67W55/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JUANHOEKALIIFMWUY2GWE67W55/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JUANHOEKALIIFMWUY2GWE67W55/action/storage_attestation","attest_author":"https://pith.science/pith/JUANHOEKALIIFMWUY2GWE67W55/action/author_attestation","sign_citation":"https://pith.science/pith/JUANHOEKALIIFMWUY2GWE67W55/action/citation_signature","submit_replication":"https://pith.science/pith/JUANHOEKALIIFMWUY2GWE67W55/action/replication_record"}},"created_at":"2026-05-18T00:48:20.345224+00:00","updated_at":"2026-05-18T00:48:20.345224+00:00"}