{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CGDA5VNUJ6K3CWUP6VQTDESF56","short_pith_number":"pith:CGDA5VNU","canonical_record":{"source":{"id":"1611.00057","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-31T22:00:36Z","cross_cats_sorted":[],"title_canon_sha256":"3ed62a2584a21b90198f4fd7d1602610687858e9f53c6f63dabb05ed85ecec78","abstract_canon_sha256":"922b301dd767d8e4b1931fde7360e209e027cfd952679ac9ee790d88ab7509d4"},"schema_version":"1.0"},"canonical_sha256":"11860ed5b44f95b15a8ff561319245ef97b4f17afedf9aa92843245cd6a0d59b","source":{"kind":"arxiv","id":"1611.00057","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00057","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00057v2","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00057","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"pith_short_12","alias_value":"CGDA5VNUJ6K3","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CGDA5VNUJ6K3CWUP","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CGDA5VNU","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CGDA5VNUJ6K3CWUP6VQTDESF56","target":"record","payload":{"canonical_record":{"source":{"id":"1611.00057","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-31T22:00:36Z","cross_cats_sorted":[],"title_canon_sha256":"3ed62a2584a21b90198f4fd7d1602610687858e9f53c6f63dabb05ed85ecec78","abstract_canon_sha256":"922b301dd767d8e4b1931fde7360e209e027cfd952679ac9ee790d88ab7509d4"},"schema_version":"1.0"},"canonical_sha256":"11860ed5b44f95b15a8ff561319245ef97b4f17afedf9aa92843245cd6a0d59b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:19.075671Z","signature_b64":"0+zroiTPRfUpCl8RW9+W7w8qaR5x56bMRdes0i5j32V9QKjJVHe8iqCiVpZopPWNmutIYExRBXlyuAcYueguDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11860ed5b44f95b15a8ff561319245ef97b4f17afedf9aa92843245cd6a0d59b","last_reissued_at":"2026-05-18T00:56:19.075060Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:19.075060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.00057","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:56:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7mdxuP3t5t0KZ4qNpe+tJ5rvv/eyBSIb+xrGkihmaVGL+Ti0mgL3iAlob7HZjxyR8191D+WqnKViFRHaQXIyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T18:02:34.956744Z"},"content_sha256":"c69965959af75a16b5b55aea41992d4fe7645f9f0ed608616e7dd2fb1d02192f","schema_version":"1.0","event_id":"sha256:c69965959af75a16b5b55aea41992d4fe7645f9f0ed608616e7dd2fb1d02192f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CGDA5VNUJ6K3CWUP6VQTDESF56","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Holomorphy of adjoint $L$ functions for quasisplit A2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Joseph Hundley","submitted_at":"2016-10-31T22:00:36Z","abstract_excerpt":"We study the poles of the twisted adjoint L function of a generic cuspidal automorphic representation of GL(3) or a quasisplit unitary group using a method pioneered by Ginzburg and Jiang and based on the theory of integral representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00057","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:56:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4cl7Ec+s6Z21AJQbUoB8i2p6BR4uPJMXS+Yes4eOauPr9ceY8zGRrEfoFlwcRx6Oywp1Tjh/uJy8CdooDA3/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T18:02:34.957087Z"},"content_sha256":"03d24b431347ddbfdd12455e1f5ebac5df081fe1da46758aa94a68e07cec08ae","schema_version":"1.0","event_id":"sha256:03d24b431347ddbfdd12455e1f5ebac5df081fe1da46758aa94a68e07cec08ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CGDA5VNUJ6K3CWUP6VQTDESF56/bundle.json","state_url":"https://pith.science/pith/CGDA5VNUJ6K3CWUP6VQTDESF56/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CGDA5VNUJ6K3CWUP6VQTDESF56/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":"2026-06-25T18:02:34Z","links":{"resolver":"https://pith.science/pith/CGDA5VNUJ6K3CWUP6VQTDESF56","bundle":"https://pith.science/pith/CGDA5VNUJ6K3CWUP6VQTDESF56/bundle.json","state":"https://pith.science/pith/CGDA5VNUJ6K3CWUP6VQTDESF56/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CGDA5VNUJ6K3CWUP6VQTDESF56/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CGDA5VNUJ6K3CWUP6VQTDESF56","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":"922b301dd767d8e4b1931fde7360e209e027cfd952679ac9ee790d88ab7509d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-31T22:00:36Z","title_canon_sha256":"3ed62a2584a21b90198f4fd7d1602610687858e9f53c6f63dabb05ed85ecec78"},"schema_version":"1.0","source":{"id":"1611.00057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00057","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00057v2","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00057","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"pith_short_12","alias_value":"CGDA5VNUJ6K3","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CGDA5VNUJ6K3CWUP","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CGDA5VNU","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:03d24b431347ddbfdd12455e1f5ebac5df081fe1da46758aa94a68e07cec08ae","target":"graph","created_at":"2026-05-18T00:56:19Z","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":"We study the poles of the twisted adjoint L function of a generic cuspidal automorphic representation of GL(3) or a quasisplit unitary group using a method pioneered by Ginzburg and Jiang and based on the theory of integral representations.","authors_text":"Joseph Hundley","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-31T22:00:36Z","title":"Holomorphy of adjoint $L$ functions for quasisplit A2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00057","kind":"arxiv","version":2},"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:c69965959af75a16b5b55aea41992d4fe7645f9f0ed608616e7dd2fb1d02192f","target":"record","created_at":"2026-05-18T00:56:19Z","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":"922b301dd767d8e4b1931fde7360e209e027cfd952679ac9ee790d88ab7509d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-31T22:00:36Z","title_canon_sha256":"3ed62a2584a21b90198f4fd7d1602610687858e9f53c6f63dabb05ed85ecec78"},"schema_version":"1.0","source":{"id":"1611.00057","kind":"arxiv","version":2}},"canonical_sha256":"11860ed5b44f95b15a8ff561319245ef97b4f17afedf9aa92843245cd6a0d59b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11860ed5b44f95b15a8ff561319245ef97b4f17afedf9aa92843245cd6a0d59b","first_computed_at":"2026-05-18T00:56:19.075060Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:19.075060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0+zroiTPRfUpCl8RW9+W7w8qaR5x56bMRdes0i5j32V9QKjJVHe8iqCiVpZopPWNmutIYExRBXlyuAcYueguDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:19.075671Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c69965959af75a16b5b55aea41992d4fe7645f9f0ed608616e7dd2fb1d02192f","sha256:03d24b431347ddbfdd12455e1f5ebac5df081fe1da46758aa94a68e07cec08ae"],"state_sha256":"40ddcce8daa612f023157018299f4189d40521b87eac08c3f0cf4386ad474916"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jr08Q5OlvuihqkAfAWYuUrVMC1oWGdOqp0zfOBa9MytatRmHME2wDHCDqevRyoaD3SQL1QSeLmVoQ4p+MWXjCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T18:02:34.958998Z","bundle_sha256":"76246a44c514377c579985d530ce6f42889f67ac9d192354382e8e69cb8855d2"}}