{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VZ72NNLZSNVF3EANMFR6ZADGR2","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":"b9f15c8e37512033a4dc8af8b2a42b95d91fed55c332e5cd6c2f26a30304f55e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-10-03T11:36:25Z","title_canon_sha256":"067d1e2a0412347915ebb21562952e57d0737002515285aa54b2ddfff53a5b73"},"schema_version":"1.0","source":{"id":"1810.01695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.01695","created_at":"2026-05-18T00:04:11Z"},{"alias_kind":"arxiv_version","alias_value":"1810.01695v1","created_at":"2026-05-18T00:04:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.01695","created_at":"2026-05-18T00:04:11Z"},{"alias_kind":"pith_short_12","alias_value":"VZ72NNLZSNVF","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VZ72NNLZSNVF3EAN","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VZ72NNLZ","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:07743c09101af3c483dc11272832d3e658e41b0ec325a97f18063651f2a69280","target":"graph","created_at":"2026-05-18T00:04:11Z","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":"For given rational prime number $p$ consider the tower of finite extensions of fields $K_0/\\mathbb{Q}_p,$ $K/K_0, L/K, M/L$, where $K/K_0$ is unramified and $M/L$ is a Galois extension with Galois group $G$. Suppose one dimensional Honda formal group over the ring $\\mathcal{O}_K$, relative to the extension $K/K_0$ and uniformizer $\\pi\\in K_0$ is given. The operation $x\\underset{F}+y=F(x,y)$ sets a new structure of abelian group on the maximal ideal $\\mathfrak{p}_M$ of the ring $\\mathcal{O}_M$ which we will denote by $F(\\mathfrak{p}_M)$. In this paper the structure of $F(\\mathfrak{p}_M)$ as $\\m","authors_text":"Sergei Vostokov, Tigran Hakobyan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-10-03T11:36:25Z","title":"Honda formal group as Galois module in unramified extensions of local fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01695","kind":"arxiv","version":1},"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":"sha256:8ef6996641dee110fe200786b3118268d16c8c773233fa0a55fc5992cdc2c236","target":"record","created_at":"2026-05-18T00:04:11Z","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":"b9f15c8e37512033a4dc8af8b2a42b95d91fed55c332e5cd6c2f26a30304f55e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-10-03T11:36:25Z","title_canon_sha256":"067d1e2a0412347915ebb21562952e57d0737002515285aa54b2ddfff53a5b73"},"schema_version":"1.0","source":{"id":"1810.01695","kind":"arxiv","version":1}},"canonical_sha256":"ae7fa6b579936a5d900d6163ec80668e80580274147fcf699144387782faf96b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae7fa6b579936a5d900d6163ec80668e80580274147fcf699144387782faf96b","first_computed_at":"2026-05-18T00:04:11.219408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:11.219408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NSwaTwL1ut2vvVgSGiRdWGa1+KdfA+1TNEi0dtGGknD8c1kU78u67F/GZBbTMpW3tnM2U5ClvMf8TqEl/olpBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:11.220063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.01695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ef6996641dee110fe200786b3118268d16c8c773233fa0a55fc5992cdc2c236","sha256:07743c09101af3c483dc11272832d3e658e41b0ec325a97f18063651f2a69280"],"state_sha256":"24f72b96c8b90380063925672ae8e5e710e2d0557054c2af325124ed66dd09bd"}