{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:WQGT37EBPY62C426BYIVMDMXTP","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":"bc69e192df874760ab2c99dfe783035f1ce566332c5111a46ef81f54182798f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-04-21T16:10:22Z","title_canon_sha256":"4686df61403f2ea861a414b04f90617095f38a8f22ac2bbe8e190220c14e34bf"},"schema_version":"1.0","source":{"id":"0904.3281","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3281","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3281v2","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3281","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"WQGT37EBPY62","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"WQGT37EBPY62C426","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"WQGT37EB","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:bd389644f231c4990c4dc01119f4978e0e87252205aca9f2b2f40ac10b15e4f9","target":"graph","created_at":"2026-05-18T02:51:48Z","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 construct a norm compatible system of Galois cohomology classes in the cyclotomic extension of the field of rationnals giving rise (conjecturally) to the degree four p-adic L-function of the symplectic group GSp(4). These classes are defined as cup products of torsion sections of the elliptic polylogarithm pro-sheaf. We rely on the norm compatibility of the elliptic polylogarithm and on some weight computations in the cohomology of Siegel threefolds.","authors_text":"Francesco Lemma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-04-21T16:10:22Z","title":"Some norm relations of the Eisenstein classes of GSp(4)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3281","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":"sha256:3fba986352f1fefa79594704979af8737d2b371acddcaddbb0b7022dcb26eabc","target":"record","created_at":"2026-05-18T02:51:48Z","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":"bc69e192df874760ab2c99dfe783035f1ce566332c5111a46ef81f54182798f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-04-21T16:10:22Z","title_canon_sha256":"4686df61403f2ea861a414b04f90617095f38a8f22ac2bbe8e190220c14e34bf"},"schema_version":"1.0","source":{"id":"0904.3281","kind":"arxiv","version":2}},"canonical_sha256":"b40d3dfc817e3da1735e0e11560d979be1d10770f0fda532e7efbae6ce30f6d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b40d3dfc817e3da1735e0e11560d979be1d10770f0fda532e7efbae6ce30f6d4","first_computed_at":"2026-05-18T02:51:48.843281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:48.843281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A0Mg3b1j9DZ79BRGUdC5fT1eN+i5k6oLKVyAGRGieZwkrO+jl4vbpuX04fg0323BhOmZcCpNEQn1JIekQqJBCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:48.843881Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.3281","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fba986352f1fefa79594704979af8737d2b371acddcaddbb0b7022dcb26eabc","sha256:bd389644f231c4990c4dc01119f4978e0e87252205aca9f2b2f40ac10b15e4f9"],"state_sha256":"cd34a9265cd45a1d07aeac5bacef754df572ed59a95f0c0e769e8c86d8331764"}