{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:M4RKC4YKHE27BX73HABLEFRXR4","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":"35531096ac145ddfcddb498b96af98a94364759554b22d04980f1bdde3d259d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-09-18T10:34:19Z","title_canon_sha256":"68f5e33c3570cd79a7a9d3fa22e24d2d5917bdbab26aa607d45057bd7fe2d5a0"},"schema_version":"1.0","source":{"id":"1309.4608","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4608","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4608v1","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4608","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"M4RKC4YKHE27","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"M4RKC4YKHE27BX73","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"M4RKC4YK","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:7a24dca1b3ee1d9c1a9b1dfbbd442e83823525965b9fd63f2c30d47755cc0b29","target":"graph","created_at":"2026-05-18T03:12:58Z","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":"In this paper we formulate a conjecture on the relationship between the equivariant \\epsilon-constants (associated to a local p-adic representation V and a finite extension of local fields L/K) and local Galois cohomology groups of a Galois stable \\mathbb{Z}_{p}-lattice T of V. We prove the conjecture for L/K being an unramified extension of degree prime to p and T being a p-adic Tate module of a one-dimensional Lubin-Tate group defined over \\mathbb{Z}_{p} by extending the ideas of \\cite{Breu} from the case of the multiplicative group \\mathbb{G}_{m} to arbitrary one-dimensional Lubin-Tate grou","authors_text":"Dmitriy Izychev, Otmar Venjakob","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-09-18T10:34:19Z","title":"Equivariant epsilon conjecture for 1-dimensional Lubin-Tate groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4608","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":"sha256:67bddcc75ae78d1d37058423838023a068e027570c6c22230b552348235e1be0","target":"record","created_at":"2026-05-18T03:12:58Z","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":"35531096ac145ddfcddb498b96af98a94364759554b22d04980f1bdde3d259d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-09-18T10:34:19Z","title_canon_sha256":"68f5e33c3570cd79a7a9d3fa22e24d2d5917bdbab26aa607d45057bd7fe2d5a0"},"schema_version":"1.0","source":{"id":"1309.4608","kind":"arxiv","version":1}},"canonical_sha256":"6722a1730a3935f0dffb3802b216378f03350876000d76f52291819d7455363c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6722a1730a3935f0dffb3802b216378f03350876000d76f52291819d7455363c","first_computed_at":"2026-05-18T03:12:58.831826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:58.831826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hHDLi/LvWxyMc/GBut1A/uIuOi/9OSpfDHAy60coGicKyEMpx30Aj5RYJylkrc/tlFyyv5AytwWJHH47QJTBAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:58.832488Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4608","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67bddcc75ae78d1d37058423838023a068e027570c6c22230b552348235e1be0","sha256:7a24dca1b3ee1d9c1a9b1dfbbd442e83823525965b9fd63f2c30d47755cc0b29"],"state_sha256":"da34c93e5e455dc73238532206e7c5056d9383a9edb882f43bd0cba9462c0383"}