{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:VZ72NNLZSNVF3EANMFR6ZADGR2","short_pith_number":"pith:VZ72NNLZ","schema_version":"1.0","canonical_sha256":"ae7fa6b579936a5d900d6163ec80668e80580274147fcf699144387782faf96b","source":{"kind":"arxiv","id":"1810.01695","version":1},"attestation_state":"computed","paper":{"title":"Honda formal group as Galois module in unramified extensions of local fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Sergei Vostokov, Tigran Hakobyan","submitted_at":"2018-10-03T11:36:25Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1810.01695","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-10-03T11:36:25Z","cross_cats_sorted":[],"title_canon_sha256":"067d1e2a0412347915ebb21562952e57d0737002515285aa54b2ddfff53a5b73","abstract_canon_sha256":"b9f15c8e37512033a4dc8af8b2a42b95d91fed55c332e5cd6c2f26a30304f55e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:11.220063Z","signature_b64":"NSwaTwL1ut2vvVgSGiRdWGa1+KdfA+1TNEi0dtGGknD8c1kU78u67F/GZBbTMpW3tnM2U5ClvMf8TqEl/olpBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae7fa6b579936a5d900d6163ec80668e80580274147fcf699144387782faf96b","last_reissued_at":"2026-05-18T00:04:11.219408Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:11.219408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Honda formal group as Galois module in unramified extensions of local fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Sergei Vostokov, Tigran Hakobyan","submitted_at":"2018-10-03T11:36:25Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01695","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1810.01695","created_at":"2026-05-18T00:04:11.219505+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.01695v1","created_at":"2026-05-18T00:04:11.219505+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.01695","created_at":"2026-05-18T00:04:11.219505+00:00"},{"alias_kind":"pith_short_12","alias_value":"VZ72NNLZSNVF","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"VZ72NNLZSNVF3EAN","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"VZ72NNLZ","created_at":"2026-05-18T12:32:59.047623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VZ72NNLZSNVF3EANMFR6ZADGR2","json":"https://pith.science/pith/VZ72NNLZSNVF3EANMFR6ZADGR2.json","graph_json":"https://pith.science/api/pith-number/VZ72NNLZSNVF3EANMFR6ZADGR2/graph.json","events_json":"https://pith.science/api/pith-number/VZ72NNLZSNVF3EANMFR6ZADGR2/events.json","paper":"https://pith.science/paper/VZ72NNLZ"},"agent_actions":{"view_html":"https://pith.science/pith/VZ72NNLZSNVF3EANMFR6ZADGR2","download_json":"https://pith.science/pith/VZ72NNLZSNVF3EANMFR6ZADGR2.json","view_paper":"https://pith.science/paper/VZ72NNLZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.01695&json=true","fetch_graph":"https://pith.science/api/pith-number/VZ72NNLZSNVF3EANMFR6ZADGR2/graph.json","fetch_events":"https://pith.science/api/pith-number/VZ72NNLZSNVF3EANMFR6ZADGR2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VZ72NNLZSNVF3EANMFR6ZADGR2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VZ72NNLZSNVF3EANMFR6ZADGR2/action/storage_attestation","attest_author":"https://pith.science/pith/VZ72NNLZSNVF3EANMFR6ZADGR2/action/author_attestation","sign_citation":"https://pith.science/pith/VZ72NNLZSNVF3EANMFR6ZADGR2/action/citation_signature","submit_replication":"https://pith.science/pith/VZ72NNLZSNVF3EANMFR6ZADGR2/action/replication_record"}},"created_at":"2026-05-18T00:04:11.219505+00:00","updated_at":"2026-05-18T00:04:11.219505+00:00"}