{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZNPVNDC6UT3WHNW5O4C2CCBQZ6","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":"2a7a7b76c7409dcf3986f22484dc4d829f0221bf1e798fcd9e2f37e18f82987e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-24T13:28:34Z","title_canon_sha256":"5124a055dc9d48f30d191e3619393f5118520c0fe567bb3d5cbba709d4e6520b"},"schema_version":"1.0","source":{"id":"1109.5263","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5263","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5263v1","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5263","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"pith_short_12","alias_value":"ZNPVNDC6UT3W","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZNPVNDC6UT3WHNW5","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZNPVNDC6","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:f3ec8c668086ce1fd8f772fd6e33a8861df60acff8de3660257a9a6ec1d3e96c","target":"graph","created_at":"2026-05-18T04:12:20Z","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":"An etale cohomology group $W$ of some irreducible components, which is the smooth compactification of an affine curve $(X^{q^2}-X)^{q-1}=(Y^{q(q+1)}-Y^{q+1})^{q-1},$ in the stable reduction the Lubin-Tate curve of level two is related to the Lusztig theory over finite rings. In this paper, we investigate a relationship between the cohomology group $W$ and the Lusztig theory.","authors_text":"Takahiro Tsushima, Tetsushi Ito, Yoichi Mieda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-24T13:28:34Z","title":"On the cohomology of the Lubin-Tate curve of level 2 and the Lusztig theory over finite rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5263","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":"sha256:78ff27a9e61b882091c093727dbf4ecbd8b46a504110ed5c8ed359a7e127a5e3","target":"record","created_at":"2026-05-18T04:12:20Z","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":"2a7a7b76c7409dcf3986f22484dc4d829f0221bf1e798fcd9e2f37e18f82987e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-24T13:28:34Z","title_canon_sha256":"5124a055dc9d48f30d191e3619393f5118520c0fe567bb3d5cbba709d4e6520b"},"schema_version":"1.0","source":{"id":"1109.5263","kind":"arxiv","version":1}},"canonical_sha256":"cb5f568c5ea4f763b6dd7705a10830cf875fcc7a250abaa79dcc2dbf9dada4fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb5f568c5ea4f763b6dd7705a10830cf875fcc7a250abaa79dcc2dbf9dada4fb","first_computed_at":"2026-05-18T04:12:20.217798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:20.217798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HaHvjU3ZhVnCmUuYXuLTFiBIfZXZN0mUsA9w+8yL4od+quHHgdfXiVfL73CWozRHojuIII5tnxpKFIh2+aBXBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:20.218424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.5263","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78ff27a9e61b882091c093727dbf4ecbd8b46a504110ed5c8ed359a7e127a5e3","sha256:f3ec8c668086ce1fd8f772fd6e33a8861df60acff8de3660257a9a6ec1d3e96c"],"state_sha256":"a59d86c32da38355e1f454ed874acc0f039aa398e8c4d9c82b4dce3291f77dc5"}