{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OUQ3SYYJ7PCJ7INAUXHUODFLKW","short_pith_number":"pith:OUQ3SYYJ","canonical_record":{"source":{"id":"1505.06757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-05-25T20:58:19Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"867c89544a72c8d67d4ce32e0845abab326ef82635bb5974ae188cc7815b8290","abstract_canon_sha256":"17ee2b38af630aac6e145ee9f3269bb9376b48fcd68900cd073984ccae314c95"},"schema_version":"1.0"},"canonical_sha256":"7521b96309fbc49fa1a0a5cf470cab5586ca98e05dec82762affc4ea7eac37b1","source":{"kind":"arxiv","id":"1505.06757","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06757","created_at":"2026-05-18T02:03:31Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06757v1","created_at":"2026-05-18T02:03:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06757","created_at":"2026-05-18T02:03:31Z"},{"alias_kind":"pith_short_12","alias_value":"OUQ3SYYJ7PCJ","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OUQ3SYYJ7PCJ7INA","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OUQ3SYYJ","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OUQ3SYYJ7PCJ7INAUXHUODFLKW","target":"record","payload":{"canonical_record":{"source":{"id":"1505.06757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-05-25T20:58:19Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"867c89544a72c8d67d4ce32e0845abab326ef82635bb5974ae188cc7815b8290","abstract_canon_sha256":"17ee2b38af630aac6e145ee9f3269bb9376b48fcd68900cd073984ccae314c95"},"schema_version":"1.0"},"canonical_sha256":"7521b96309fbc49fa1a0a5cf470cab5586ca98e05dec82762affc4ea7eac37b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:31.944305Z","signature_b64":"ABKR4dU1FHtmibvwjZ0RTYniEefg/M3CAZydohFih3a3ZekRJR400a0fuXw1KaE2qE8vo/v1RulT+LLR9ZwtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7521b96309fbc49fa1a0a5cf470cab5586ca98e05dec82762affc4ea7eac37b1","last_reissued_at":"2026-05-18T02:03:31.943654Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:31.943654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.06757","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:03:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5zn/RuaWJm1R/In5mJO669zt4ZD8q5NE+e3v3qn1XCG2RvxAJ9vfuVJvnV/iUg/CUHsaolIds9rZXo/YXZ3aCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:38:04.356705Z"},"content_sha256":"8d5ff0c48f5f0c3723fd845c60fde96e4573c57f10379c943cf963c3bb327c9f","schema_version":"1.0","event_id":"sha256:8d5ff0c48f5f0c3723fd845c60fde96e4573c57f10379c943cf963c3bb327c9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OUQ3SYYJ7PCJ7INAUXHUODFLKW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Existence of Generic Cusp Forms on Semisimple Algebraic Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Allen Moy, Goran Mui\\'c","submitted_at":"2015-05-25T20:58:19Z","abstract_excerpt":"In this paper we discuss the existence of certain classes of cuspidal automorphic representations having non-zero Fourier coefficients for general semisimple algebraic group $G$ defined over a number field $k$ such that its Archimedean group $G_\\infty$ is not compact. When $G$ is quasi--split over $k$, we obtain a result on existence of generic cuspidal automorphic representations which generalize a result of Vign\\' eras, Henniart, and Shahidi. We also discuss the existence of cuspidal automorphic forms with non--zero Fourier coefficients for congruence of subgroups of $G_\\infty$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06757","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:03:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kBlGFfO/fGbAuaTdf1iSdgZhYDypECiUeJnuffYYoDFi9l36T9sj/p+DsDUQV5cTWlnckG/dxgVIAz1fdiFrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:38:04.357048Z"},"content_sha256":"d337d0fa5c2d4fa542e7af5687f5e2f4585dae28eb1dbe8a11cf1a80431527fb","schema_version":"1.0","event_id":"sha256:d337d0fa5c2d4fa542e7af5687f5e2f4585dae28eb1dbe8a11cf1a80431527fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OUQ3SYYJ7PCJ7INAUXHUODFLKW/bundle.json","state_url":"https://pith.science/pith/OUQ3SYYJ7PCJ7INAUXHUODFLKW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OUQ3SYYJ7PCJ7INAUXHUODFLKW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T15:38:04Z","links":{"resolver":"https://pith.science/pith/OUQ3SYYJ7PCJ7INAUXHUODFLKW","bundle":"https://pith.science/pith/OUQ3SYYJ7PCJ7INAUXHUODFLKW/bundle.json","state":"https://pith.science/pith/OUQ3SYYJ7PCJ7INAUXHUODFLKW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OUQ3SYYJ7PCJ7INAUXHUODFLKW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OUQ3SYYJ7PCJ7INAUXHUODFLKW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"17ee2b38af630aac6e145ee9f3269bb9376b48fcd68900cd073984ccae314c95","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-05-25T20:58:19Z","title_canon_sha256":"867c89544a72c8d67d4ce32e0845abab326ef82635bb5974ae188cc7815b8290"},"schema_version":"1.0","source":{"id":"1505.06757","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06757","created_at":"2026-05-18T02:03:31Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06757v1","created_at":"2026-05-18T02:03:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06757","created_at":"2026-05-18T02:03:31Z"},{"alias_kind":"pith_short_12","alias_value":"OUQ3SYYJ7PCJ","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OUQ3SYYJ7PCJ7INA","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OUQ3SYYJ","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:d337d0fa5c2d4fa542e7af5687f5e2f4585dae28eb1dbe8a11cf1a80431527fb","target":"graph","created_at":"2026-05-18T02:03:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we discuss the existence of certain classes of cuspidal automorphic representations having non-zero Fourier coefficients for general semisimple algebraic group $G$ defined over a number field $k$ such that its Archimedean group $G_\\infty$ is not compact. When $G$ is quasi--split over $k$, we obtain a result on existence of generic cuspidal automorphic representations which generalize a result of Vign\\' eras, Henniart, and Shahidi. We also discuss the existence of cuspidal automorphic forms with non--zero Fourier coefficients for congruence of subgroups of $G_\\infty$.","authors_text":"Allen Moy, Goran Mui\\'c","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-05-25T20:58:19Z","title":"On Existence of Generic Cusp Forms on Semisimple Algebraic Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06757","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8d5ff0c48f5f0c3723fd845c60fde96e4573c57f10379c943cf963c3bb327c9f","target":"record","created_at":"2026-05-18T02:03:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"17ee2b38af630aac6e145ee9f3269bb9376b48fcd68900cd073984ccae314c95","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-05-25T20:58:19Z","title_canon_sha256":"867c89544a72c8d67d4ce32e0845abab326ef82635bb5974ae188cc7815b8290"},"schema_version":"1.0","source":{"id":"1505.06757","kind":"arxiv","version":1}},"canonical_sha256":"7521b96309fbc49fa1a0a5cf470cab5586ca98e05dec82762affc4ea7eac37b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7521b96309fbc49fa1a0a5cf470cab5586ca98e05dec82762affc4ea7eac37b1","first_computed_at":"2026-05-18T02:03:31.943654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:31.943654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ABKR4dU1FHtmibvwjZ0RTYniEefg/M3CAZydohFih3a3ZekRJR400a0fuXw1KaE2qE8vo/v1RulT+LLR9ZwtBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:31.944305Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06757","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d5ff0c48f5f0c3723fd845c60fde96e4573c57f10379c943cf963c3bb327c9f","sha256:d337d0fa5c2d4fa542e7af5687f5e2f4585dae28eb1dbe8a11cf1a80431527fb"],"state_sha256":"da71f3a4dac5274f226a50768431614cff491e07c4ead10e21569949e6c2c396"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tNZrSDFaCUE+cmTsDz78ysdleM7NaZWNNiAMBh8Byr2YA4ZlLigzA0okfbfM6A4MZyetNIw7FlvAdghcE3KpAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:38:04.359378Z","bundle_sha256":"346872ae711418e0e1177f4a7cd52138818423259d711e8267b8f86e14eb5453"}}