{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BDMSKL3LWM6CL2K7GAVG5PX64B","short_pith_number":"pith:BDMSKL3L","schema_version":"1.0","canonical_sha256":"08d9252f6bb33c25e95f302a6ebefee07bf07d9cb02b5eb1fb6f07e0b434dfd1","source":{"kind":"arxiv","id":"1511.01385","version":1},"attestation_state":"computed","paper":{"title":"Several integrals of quaternionic field on hyperbolic matrix space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.CV","math.FA","math.MP"],"primary_cat":"math-ph","authors_text":"Fu-Wen Shu, You-Gen Shen","submitted_at":"2015-11-04T16:32:29Z","abstract_excerpt":"Some integrals of matrix spaces over a quaternionic field have been calculated in this work. The associated volume of hyperbolic matrix spaces over a quaternionic field has also been calculated by making use of these integrals, and it is of great significance in calculating related kernel functions of these spaces."},"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":"1511.01385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-11-04T16:32:29Z","cross_cats_sorted":["gr-qc","math.CV","math.FA","math.MP"],"title_canon_sha256":"018543a6aeb2deda443ab50b8dbb5107d9fe275df534780c4a4f26883bc61098","abstract_canon_sha256":"89b40f256327b392f0c4f374c6c26da2f0c32686cc7f244efd71a7bd892b67b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:09.731516Z","signature_b64":"/RDUNvdnuV8QNxL/QUzLfvdVvm4f9MASJua4dZoY6zlanJBecyqIH5IFOwMYxuCtGjugUY2SE7Jb1S/jmOGfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08d9252f6bb33c25e95f302a6ebefee07bf07d9cb02b5eb1fb6f07e0b434dfd1","last_reissued_at":"2026-05-18T01:10:09.730959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:09.730959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Several integrals of quaternionic field on hyperbolic matrix space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.CV","math.FA","math.MP"],"primary_cat":"math-ph","authors_text":"Fu-Wen Shu, You-Gen Shen","submitted_at":"2015-11-04T16:32:29Z","abstract_excerpt":"Some integrals of matrix spaces over a quaternionic field have been calculated in this work. The associated volume of hyperbolic matrix spaces over a quaternionic field has also been calculated by making use of these integrals, and it is of great significance in calculating related kernel functions of these spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.01385","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":"1511.01385","created_at":"2026-05-18T01:10:09.731032+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.01385v1","created_at":"2026-05-18T01:10:09.731032+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.01385","created_at":"2026-05-18T01:10:09.731032+00:00"},{"alias_kind":"pith_short_12","alias_value":"BDMSKL3LWM6C","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BDMSKL3LWM6CL2K7","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BDMSKL3L","created_at":"2026-05-18T12:29:14.074870+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/BDMSKL3LWM6CL2K7GAVG5PX64B","json":"https://pith.science/pith/BDMSKL3LWM6CL2K7GAVG5PX64B.json","graph_json":"https://pith.science/api/pith-number/BDMSKL3LWM6CL2K7GAVG5PX64B/graph.json","events_json":"https://pith.science/api/pith-number/BDMSKL3LWM6CL2K7GAVG5PX64B/events.json","paper":"https://pith.science/paper/BDMSKL3L"},"agent_actions":{"view_html":"https://pith.science/pith/BDMSKL3LWM6CL2K7GAVG5PX64B","download_json":"https://pith.science/pith/BDMSKL3LWM6CL2K7GAVG5PX64B.json","view_paper":"https://pith.science/paper/BDMSKL3L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.01385&json=true","fetch_graph":"https://pith.science/api/pith-number/BDMSKL3LWM6CL2K7GAVG5PX64B/graph.json","fetch_events":"https://pith.science/api/pith-number/BDMSKL3LWM6CL2K7GAVG5PX64B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BDMSKL3LWM6CL2K7GAVG5PX64B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BDMSKL3LWM6CL2K7GAVG5PX64B/action/storage_attestation","attest_author":"https://pith.science/pith/BDMSKL3LWM6CL2K7GAVG5PX64B/action/author_attestation","sign_citation":"https://pith.science/pith/BDMSKL3LWM6CL2K7GAVG5PX64B/action/citation_signature","submit_replication":"https://pith.science/pith/BDMSKL3LWM6CL2K7GAVG5PX64B/action/replication_record"}},"created_at":"2026-05-18T01:10:09.731032+00:00","updated_at":"2026-05-18T01:10:09.731032+00:00"}