{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:6H5AHKZB7UTLJZZPUKETKDHEUX","short_pith_number":"pith:6H5AHKZB","canonical_record":{"source":{"id":"1706.10073","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-30T09:16:38Z","cross_cats_sorted":[],"title_canon_sha256":"4701dfefdb7150a8e2e124a44e1bd5e7fe0d170c90074d56aa56f8aacdc4e460","abstract_canon_sha256":"095438f4f34df9255cfe8839720f558fd9925b65ee37f011983285aeb4bde1fa"},"schema_version":"1.0"},"canonical_sha256":"f1fa03ab21fd26b4e72fa289350ce4a5c7140934f59a156c92a5a22a21f45ad8","source":{"kind":"arxiv","id":"1706.10073","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.10073","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"1706.10073v2","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.10073","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"6H5AHKZB7UTL","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6H5AHKZB7UTLJZZP","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6H5AHKZB","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:6H5AHKZB7UTLJZZPUKETKDHEUX","target":"record","payload":{"canonical_record":{"source":{"id":"1706.10073","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-30T09:16:38Z","cross_cats_sorted":[],"title_canon_sha256":"4701dfefdb7150a8e2e124a44e1bd5e7fe0d170c90074d56aa56f8aacdc4e460","abstract_canon_sha256":"095438f4f34df9255cfe8839720f558fd9925b65ee37f011983285aeb4bde1fa"},"schema_version":"1.0"},"canonical_sha256":"f1fa03ab21fd26b4e72fa289350ce4a5c7140934f59a156c92a5a22a21f45ad8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:03.138659Z","signature_b64":"0z50c0QWgGNG5lEEia1a/7rF/JgVaUG9hC3I7Ciyof669oEDILH+VcUUEFrKw7vMELYmhOgGHnwTkHQaz5dAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1fa03ab21fd26b4e72fa289350ce4a5c7140934f59a156c92a5a22a21f45ad8","last_reissued_at":"2026-05-18T00:16:03.138157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:03.138157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.10073","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":"2026-05-18T00:16:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QIPaRzR+AyA+FAnAXfpJr3pc5gkgSQDy2WJpvxAuHaUodIv4UdbS3hl8k+bNRtLhbSf/9tnZshAzmiN7BVlMDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:35:24.454701Z"},"content_sha256":"12e9c52441dbcb0a036ad69ddefb3159169a016f718f068c989f85f8d5ca58cc","schema_version":"1.0","event_id":"sha256:12e9c52441dbcb0a036ad69ddefb3159169a016f718f068c989f85f8d5ca58cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:6H5AHKZB7UTLJZZPUKETKDHEUX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic cycles and residues of degree eight $L$-functions of $\\mathrm{GSp}(4) \\times \\mathrm{GL}(2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Francesco Lemma","submitted_at":"2017-06-30T09:16:38Z","abstract_excerpt":"We prove a cohomological formula for non-critical residues of degree eight automorphic $L$-functions of $\\mathrm{GSp}(4) \\times \\mathrm{GL}(2)$ in the spirit of Beilinson conjecture. We rely on the cohomological interpretation of an automorphic period integral and on the study of Novodvorsky's integral representation of the $L$-functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.10073","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":"2026-05-18T00:16:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+QorUbG9mOfC7G0FNAAm+0hEU2Kwy6oi2OXIhljFtZljMh5kOs0rlzgMgTtsFYtdyzeX6mtkPOvlG+nRZBgCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:35:24.455041Z"},"content_sha256":"d60a2a02895392a5fa903d7a6ad96452e840bdeb2a80bf5e68c401f2448655b8","schema_version":"1.0","event_id":"sha256:d60a2a02895392a5fa903d7a6ad96452e840bdeb2a80bf5e68c401f2448655b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6H5AHKZB7UTLJZZPUKETKDHEUX/bundle.json","state_url":"https://pith.science/pith/6H5AHKZB7UTLJZZPUKETKDHEUX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6H5AHKZB7UTLJZZPUKETKDHEUX/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":"2026-06-03T00:35:24Z","links":{"resolver":"https://pith.science/pith/6H5AHKZB7UTLJZZPUKETKDHEUX","bundle":"https://pith.science/pith/6H5AHKZB7UTLJZZPUKETKDHEUX/bundle.json","state":"https://pith.science/pith/6H5AHKZB7UTLJZZPUKETKDHEUX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6H5AHKZB7UTLJZZPUKETKDHEUX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6H5AHKZB7UTLJZZPUKETKDHEUX","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":"095438f4f34df9255cfe8839720f558fd9925b65ee37f011983285aeb4bde1fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-30T09:16:38Z","title_canon_sha256":"4701dfefdb7150a8e2e124a44e1bd5e7fe0d170c90074d56aa56f8aacdc4e460"},"schema_version":"1.0","source":{"id":"1706.10073","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.10073","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"1706.10073v2","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.10073","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"6H5AHKZB7UTL","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6H5AHKZB7UTLJZZP","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6H5AHKZB","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:d60a2a02895392a5fa903d7a6ad96452e840bdeb2a80bf5e68c401f2448655b8","target":"graph","created_at":"2026-05-18T00:16:03Z","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 prove a cohomological formula for non-critical residues of degree eight automorphic $L$-functions of $\\mathrm{GSp}(4) \\times \\mathrm{GL}(2)$ in the spirit of Beilinson conjecture. We rely on the cohomological interpretation of an automorphic period integral and on the study of Novodvorsky's integral representation of the $L$-functions.","authors_text":"Francesco Lemma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-30T09:16:38Z","title":"Algebraic cycles and residues of degree eight $L$-functions of $\\mathrm{GSp}(4) \\times \\mathrm{GL}(2)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.10073","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":"sha256:12e9c52441dbcb0a036ad69ddefb3159169a016f718f068c989f85f8d5ca58cc","target":"record","created_at":"2026-05-18T00:16:03Z","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":"095438f4f34df9255cfe8839720f558fd9925b65ee37f011983285aeb4bde1fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-06-30T09:16:38Z","title_canon_sha256":"4701dfefdb7150a8e2e124a44e1bd5e7fe0d170c90074d56aa56f8aacdc4e460"},"schema_version":"1.0","source":{"id":"1706.10073","kind":"arxiv","version":2}},"canonical_sha256":"f1fa03ab21fd26b4e72fa289350ce4a5c7140934f59a156c92a5a22a21f45ad8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1fa03ab21fd26b4e72fa289350ce4a5c7140934f59a156c92a5a22a21f45ad8","first_computed_at":"2026-05-18T00:16:03.138157Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:03.138157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0z50c0QWgGNG5lEEia1a/7rF/JgVaUG9hC3I7Ciyof669oEDILH+VcUUEFrKw7vMELYmhOgGHnwTkHQaz5dAAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:03.138659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.10073","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12e9c52441dbcb0a036ad69ddefb3159169a016f718f068c989f85f8d5ca58cc","sha256:d60a2a02895392a5fa903d7a6ad96452e840bdeb2a80bf5e68c401f2448655b8"],"state_sha256":"189d902877c4def69e4ce124b06c4cfcc6df96df97b5e11d42805f0378c9e3cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XjKiFJEEOiNRF7tUSl8n+Xvhc2AdsDKsYWpUxQ+0LvZYkLgLrr/WWZ3/T0ljm/DGv3sXQ1hF0Ty/81ezw0DJDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T00:35:24.456946Z","bundle_sha256":"f73b74314e9153c3cc88a0e4c95f9c3d1542cab3d48f9370bc82d9d1aaeaa179"}}