{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:CJCQOHW6Q727WAQHUQO75CIPEJ","short_pith_number":"pith:CJCQOHW6","schema_version":"1.0","canonical_sha256":"1245071ede87f5fb0207a41dfe890f224fb54663acec2ec1fa4911924d60f2ff","source":{"kind":"arxiv","id":"1407.6813","version":1},"attestation_state":"computed","paper":{"title":"Poisson Summation and Endoscopy for $Sp(4,\\mathbb R)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Do Ngoc Diep, Do Thi Phuong Quynh","submitted_at":"2014-07-25T08:43:33Z","abstract_excerpt":"In this paper we analyze the endoscopy for $\\Sp(4,\\mathbb R)$. The new results are a precise realization of the discrete series representations (in Section 2), a computation of their traces (Section 3) and an exact formula for the noncommutative Poisson summation and endoscopy of for this group (in Sections 4,5)."},"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":"1407.6813","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-07-25T08:43:33Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"1a9d53eb5e92f1064fdf3960b89a4736a4328381b102681c1b1579628ac7b2e9","abstract_canon_sha256":"ab728b0033e49fa60fedb0ced9b3dbe03ea2673d7e35d0105223094f563fd9ed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:52.586786Z","signature_b64":"s1wRD8ek/ot9dkcjQxECTLqbxt4Yn94prS/S4cUpIdOU5D1EnY8jd6xTLMoXpRUhHY6AgxdXC8WoRPnqIXh1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1245071ede87f5fb0207a41dfe890f224fb54663acec2ec1fa4911924d60f2ff","last_reissued_at":"2026-05-18T01:01:52.585912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:52.585912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Poisson Summation and Endoscopy for $Sp(4,\\mathbb R)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Do Ngoc Diep, Do Thi Phuong Quynh","submitted_at":"2014-07-25T08:43:33Z","abstract_excerpt":"In this paper we analyze the endoscopy for $\\Sp(4,\\mathbb R)$. The new results are a precise realization of the discrete series representations (in Section 2), a computation of their traces (Section 3) and an exact formula for the noncommutative Poisson summation and endoscopy of for this group (in Sections 4,5)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6813","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":"1407.6813","created_at":"2026-05-18T01:01:52.586014+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.6813v1","created_at":"2026-05-18T01:01:52.586014+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6813","created_at":"2026-05-18T01:01:52.586014+00:00"},{"alias_kind":"pith_short_12","alias_value":"CJCQOHW6Q727","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"CJCQOHW6Q727WAQH","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"CJCQOHW6","created_at":"2026-05-18T12:28:22.404517+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/CJCQOHW6Q727WAQHUQO75CIPEJ","json":"https://pith.science/pith/CJCQOHW6Q727WAQHUQO75CIPEJ.json","graph_json":"https://pith.science/api/pith-number/CJCQOHW6Q727WAQHUQO75CIPEJ/graph.json","events_json":"https://pith.science/api/pith-number/CJCQOHW6Q727WAQHUQO75CIPEJ/events.json","paper":"https://pith.science/paper/CJCQOHW6"},"agent_actions":{"view_html":"https://pith.science/pith/CJCQOHW6Q727WAQHUQO75CIPEJ","download_json":"https://pith.science/pith/CJCQOHW6Q727WAQHUQO75CIPEJ.json","view_paper":"https://pith.science/paper/CJCQOHW6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.6813&json=true","fetch_graph":"https://pith.science/api/pith-number/CJCQOHW6Q727WAQHUQO75CIPEJ/graph.json","fetch_events":"https://pith.science/api/pith-number/CJCQOHW6Q727WAQHUQO75CIPEJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CJCQOHW6Q727WAQHUQO75CIPEJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CJCQOHW6Q727WAQHUQO75CIPEJ/action/storage_attestation","attest_author":"https://pith.science/pith/CJCQOHW6Q727WAQHUQO75CIPEJ/action/author_attestation","sign_citation":"https://pith.science/pith/CJCQOHW6Q727WAQHUQO75CIPEJ/action/citation_signature","submit_replication":"https://pith.science/pith/CJCQOHW6Q727WAQHUQO75CIPEJ/action/replication_record"}},"created_at":"2026-05-18T01:01:52.586014+00:00","updated_at":"2026-05-18T01:01:52.586014+00:00"}