{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FOE5RGOSLJ4M4VG5NWUY4J5KLH","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":"043c3bcf8ef455a8bdb53cf8cc1396721d0c292da88c45fefe6cf6694747ebd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-13T10:00:15Z","title_canon_sha256":"6beb225f4a44a231b0dbdc5299aed4ecac65af707fb505359f85d6d1be1ffe37"},"schema_version":"1.0","source":{"id":"1201.2783","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2783","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2783v2","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2783","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"FOE5RGOSLJ4M","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FOE5RGOSLJ4M4VG5","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FOE5RGOS","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:c00b033bd8d8bd7ab7f63e38feb68ac547655f0fc482c210716349c3560963c3","target":"graph","created_at":"2026-05-18T04:03:44Z","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":"I give a new integral representation for the degree five (standard) L-function for automorphic representations of GSp(4) that is a refinement of integral representation of Piatetski-Shapiro and Rallis. The new integral representation unfolds to produce the Bessel model for GSp(4) which is unique. The local unramified calculation uses an explicit formula for the Bessel model and differs completely from Piatetski-Shapiro and Rallis.","authors_text":"Daniel File","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-13T10:00:15Z","title":"On the degree five L-function for GSp(4)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2783","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":"sha256:942c2d840dd3e4713cab2b36e28d5818d9dd40c38b9566e7799611f398ed886d","target":"record","created_at":"2026-05-18T04:03:44Z","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":"043c3bcf8ef455a8bdb53cf8cc1396721d0c292da88c45fefe6cf6694747ebd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-13T10:00:15Z","title_canon_sha256":"6beb225f4a44a231b0dbdc5299aed4ecac65af707fb505359f85d6d1be1ffe37"},"schema_version":"1.0","source":{"id":"1201.2783","kind":"arxiv","version":2}},"canonical_sha256":"2b89d899d25a78ce54dd6da98e27aa59d9d2ec61123017b50cba7675b6cf2596","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b89d899d25a78ce54dd6da98e27aa59d9d2ec61123017b50cba7675b6cf2596","first_computed_at":"2026-05-18T04:03:44.903513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:44.903513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gvrwfF3wxAUU6Ou2ZLt4uPwrqKk2spcaeLmUWlNDalSNQISBLLb94WPvMJS62UsuaTpkwbiMxpDY0GQsOrkmBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:44.904011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2783","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:942c2d840dd3e4713cab2b36e28d5818d9dd40c38b9566e7799611f398ed886d","sha256:c00b033bd8d8bd7ab7f63e38feb68ac547655f0fc482c210716349c3560963c3"],"state_sha256":"3215f04a8935bd9381752123433f3d0494826579f76da664283b8333323594c9"}