{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GME4J4UODF6Y4T63KQYDXFJQYI","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":"275b365b25a7c9cd8338e4d67a4643f2394671c25b9337e811804cd4e29d1f05","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-08-04T12:20:02Z","title_canon_sha256":"dd083cfe461d4eef58ff78b071feb5b3fadc234c189eb13124fd5fdc17d8b1e2"},"schema_version":"1.0","source":{"id":"1108.1062","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.1062","created_at":"2026-05-18T00:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"1108.1062v3","created_at":"2026-05-18T00:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1062","created_at":"2026-05-18T00:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"GME4J4UODF6Y","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GME4J4UODF6Y4T63","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GME4J4UO","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:233c6354856942e7e9a4a7af47e912e4b58bc996e8fecfe8f95d905192744ad5","target":"graph","created_at":"2026-05-18T00:55:39Z","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":"Let $L/K$ be a finite Galois CM-extension of number fields with Galois group $G$. In an earlier paper, the author has defined a module $SKu(L/K)$ over the center of the group ring $\\mathbb Z[G]$ which coincides with the Sinnott-Kurihara ideal if $G$ is abelian and, in particular, contains many Stickelberger elements. It was shown that a certain conjecture on the integrality of $SKu(L/K)$ implies the minus part of the equivariant Tamagawa number conjecture at an odd prime $p$ for an infinite class of (non-abelian) Galois CM-extensions of number fields which are at most tamely ramified above $p$","authors_text":"Andreas Nickel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-08-04T12:20:02Z","title":"Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1062","kind":"arxiv","version":3},"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":"sha256:8bcea8d686383a84fdb0b8192fc9178841572a2c163103590f9ca61f951c9b69","target":"record","created_at":"2026-05-18T00:55:39Z","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":"275b365b25a7c9cd8338e4d67a4643f2394671c25b9337e811804cd4e29d1f05","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-08-04T12:20:02Z","title_canon_sha256":"dd083cfe461d4eef58ff78b071feb5b3fadc234c189eb13124fd5fdc17d8b1e2"},"schema_version":"1.0","source":{"id":"1108.1062","kind":"arxiv","version":3}},"canonical_sha256":"3309c4f28e197d8e4fdb54303b9530c20773227dfd21d8c6caef94c56665f080","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3309c4f28e197d8e4fdb54303b9530c20773227dfd21d8c6caef94c56665f080","first_computed_at":"2026-05-18T00:55:39.736592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:39.736592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Od/NfWfA0SZXQcGkqDXGp9lsLmZWdW8RLKo0PtEV4HhvkBdEwU2Ia7SA/4iHWDecnJeDlDgV5YkpdNba704fCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:39.737149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.1062","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bcea8d686383a84fdb0b8192fc9178841572a2c163103590f9ca61f951c9b69","sha256:233c6354856942e7e9a4a7af47e912e4b58bc996e8fecfe8f95d905192744ad5"],"state_sha256":"442d98b5df629cc70c2d4b81b747ea8e0d02c57576376b10fb7a7505a3297804"}