{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:6LE4V2AKFCLRCT7IMDNQFBZUBU","short_pith_number":"pith:6LE4V2AK","schema_version":"1.0","canonical_sha256":"f2c9cae80a2897114fe860db0287340d29b870f56b9c27b3b3406b733d43099d","source":{"kind":"arxiv","id":"1011.1314","version":2},"attestation_state":"computed","paper":{"title":"Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Nobukazu shimeno, Toshio Oshima","submitted_at":"2010-11-05T03:02:24Z","abstract_excerpt":"We characterize the image of the Poisson transform on any distinguished boundary of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a generator system of a two sided ideals of an universal enveloping algebra, which are explicitly given by analogues of minimal polynomials of matrices."},"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":"1011.1314","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-11-05T03:02:24Z","cross_cats_sorted":[],"title_canon_sha256":"2c64968e4bd489ea9af95a8d6dea4559d5651a716a83fffac84cbd797ff68233","abstract_canon_sha256":"60e6da8b0539e74c2020c95b48a6af724b06df473f447e0a60b0234503a1de97"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:39.397896Z","signature_b64":"oCQ6f1uV2X70+k6+OkT9olTDWiAmNP4Q7mSnDZrsXo/wgBBjyt802aABH1CaK21ZU/YkuThoZKH1kY1sLcp+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2c9cae80a2897114fe860db0287340d29b870f56b9c27b3b3406b733d43099d","last_reissued_at":"2026-05-18T04:20:39.397229Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:39.397229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Nobukazu shimeno, Toshio Oshima","submitted_at":"2010-11-05T03:02:24Z","abstract_excerpt":"We characterize the image of the Poisson transform on any distinguished boundary of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a generator system of a two sided ideals of an universal enveloping algebra, which are explicitly given by analogues of minimal polynomials of matrices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1314","kind":"arxiv","version":2},"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":"1011.1314","created_at":"2026-05-18T04:20:39.397328+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.1314v2","created_at":"2026-05-18T04:20:39.397328+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1314","created_at":"2026-05-18T04:20:39.397328+00:00"},{"alias_kind":"pith_short_12","alias_value":"6LE4V2AKFCLR","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"6LE4V2AKFCLRCT7I","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"6LE4V2AK","created_at":"2026-05-18T12:26:04.259169+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/6LE4V2AKFCLRCT7IMDNQFBZUBU","json":"https://pith.science/pith/6LE4V2AKFCLRCT7IMDNQFBZUBU.json","graph_json":"https://pith.science/api/pith-number/6LE4V2AKFCLRCT7IMDNQFBZUBU/graph.json","events_json":"https://pith.science/api/pith-number/6LE4V2AKFCLRCT7IMDNQFBZUBU/events.json","paper":"https://pith.science/paper/6LE4V2AK"},"agent_actions":{"view_html":"https://pith.science/pith/6LE4V2AKFCLRCT7IMDNQFBZUBU","download_json":"https://pith.science/pith/6LE4V2AKFCLRCT7IMDNQFBZUBU.json","view_paper":"https://pith.science/paper/6LE4V2AK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.1314&json=true","fetch_graph":"https://pith.science/api/pith-number/6LE4V2AKFCLRCT7IMDNQFBZUBU/graph.json","fetch_events":"https://pith.science/api/pith-number/6LE4V2AKFCLRCT7IMDNQFBZUBU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6LE4V2AKFCLRCT7IMDNQFBZUBU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6LE4V2AKFCLRCT7IMDNQFBZUBU/action/storage_attestation","attest_author":"https://pith.science/pith/6LE4V2AKFCLRCT7IMDNQFBZUBU/action/author_attestation","sign_citation":"https://pith.science/pith/6LE4V2AKFCLRCT7IMDNQFBZUBU/action/citation_signature","submit_replication":"https://pith.science/pith/6LE4V2AKFCLRCT7IMDNQFBZUBU/action/replication_record"}},"created_at":"2026-05-18T04:20:39.397328+00:00","updated_at":"2026-05-18T04:20:39.397328+00:00"}