{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BWTPIPZZYY6X6UKKWYSBE752VM","short_pith_number":"pith:BWTPIPZZ","schema_version":"1.0","canonical_sha256":"0da6f43f39c63d7f514ab624127fbaab3ecf7bc321746b01df9b9faa019d16e4","source":{"kind":"arxiv","id":"1605.00819","version":1},"attestation_state":"computed","paper":{"title":"Eisenstein congruences for SO(4,3), SO(4,4), spinor and triple product L-values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jonas Bergstr\\\"om, Neil Dummigan, Thomas M\\'egarban\\'e","submitted_at":"2016-05-03T09:58:23Z","abstract_excerpt":"We work out instances of a general conjecture on congruences between Hecke eigenvalues of induced and cuspidal automorphic representations of a reductive group, modulo divisors of certain critical L-values, in the case that the group is a split orthogonal group. We provide some numerical evidence in the case that the group is SO(4,3) and the L-function is the spinor L-function of a genus 2, vector-valued, Siegel cusp form. We also consider the case that the group is SO(4,4) and the L-function is a triple product L-function."},"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":"1605.00819","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-05-03T09:58:23Z","cross_cats_sorted":[],"title_canon_sha256":"cdbb408b5a8fc68bfcf57b7d26d6484d6399104343da86fd9d6b70f5a39f65f6","abstract_canon_sha256":"629a8023999119453094b644a1f89ea2a2ca142b136881690638c9bde9c6a6a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:47.956110Z","signature_b64":"pVFRYUscqZnwqlw55ngEHLF0oidq+6KmXVZ6ldBlili5BaHMDFPgkCInqrMD+UzOPjuPdqh6SM3uxBAHgJlkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0da6f43f39c63d7f514ab624127fbaab3ecf7bc321746b01df9b9faa019d16e4","last_reissued_at":"2026-05-18T01:15:47.955612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:47.955612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Eisenstein congruences for SO(4,3), SO(4,4), spinor and triple product L-values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jonas Bergstr\\\"om, Neil Dummigan, Thomas M\\'egarban\\'e","submitted_at":"2016-05-03T09:58:23Z","abstract_excerpt":"We work out instances of a general conjecture on congruences between Hecke eigenvalues of induced and cuspidal automorphic representations of a reductive group, modulo divisors of certain critical L-values, in the case that the group is a split orthogonal group. We provide some numerical evidence in the case that the group is SO(4,3) and the L-function is the spinor L-function of a genus 2, vector-valued, Siegel cusp form. We also consider the case that the group is SO(4,4) and the L-function is a triple product L-function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00819","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":"1605.00819","created_at":"2026-05-18T01:15:47.955693+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.00819v1","created_at":"2026-05-18T01:15:47.955693+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00819","created_at":"2026-05-18T01:15:47.955693+00:00"},{"alias_kind":"pith_short_12","alias_value":"BWTPIPZZYY6X","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"BWTPIPZZYY6X6UKK","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"BWTPIPZZ","created_at":"2026-05-18T12:30:09.641336+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/BWTPIPZZYY6X6UKKWYSBE752VM","json":"https://pith.science/pith/BWTPIPZZYY6X6UKKWYSBE752VM.json","graph_json":"https://pith.science/api/pith-number/BWTPIPZZYY6X6UKKWYSBE752VM/graph.json","events_json":"https://pith.science/api/pith-number/BWTPIPZZYY6X6UKKWYSBE752VM/events.json","paper":"https://pith.science/paper/BWTPIPZZ"},"agent_actions":{"view_html":"https://pith.science/pith/BWTPIPZZYY6X6UKKWYSBE752VM","download_json":"https://pith.science/pith/BWTPIPZZYY6X6UKKWYSBE752VM.json","view_paper":"https://pith.science/paper/BWTPIPZZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.00819&json=true","fetch_graph":"https://pith.science/api/pith-number/BWTPIPZZYY6X6UKKWYSBE752VM/graph.json","fetch_events":"https://pith.science/api/pith-number/BWTPIPZZYY6X6UKKWYSBE752VM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BWTPIPZZYY6X6UKKWYSBE752VM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BWTPIPZZYY6X6UKKWYSBE752VM/action/storage_attestation","attest_author":"https://pith.science/pith/BWTPIPZZYY6X6UKKWYSBE752VM/action/author_attestation","sign_citation":"https://pith.science/pith/BWTPIPZZYY6X6UKKWYSBE752VM/action/citation_signature","submit_replication":"https://pith.science/pith/BWTPIPZZYY6X6UKKWYSBE752VM/action/replication_record"}},"created_at":"2026-05-18T01:15:47.955693+00:00","updated_at":"2026-05-18T01:15:47.955693+00:00"}