{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NXRXFCPJ2EDVWCP2LNXQG27IEX","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":"7f1d5441cbebd6a5378e5becca34297e89504e9ce1190ba4f6899e9fe61bfbf0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-05-27T10:39:29Z","title_canon_sha256":"5966287606a430ed5c98a65f2be44d7eb375c7d2515f1f1c747724d89b53c29a"},"schema_version":"1.0","source":{"id":"1105.5520","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5520","created_at":"2026-05-18T03:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5520v2","created_at":"2026-05-18T03:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5520","created_at":"2026-05-18T03:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"NXRXFCPJ2EDV","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NXRXFCPJ2EDVWCP2","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NXRXFCPJ","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:24bf40c740f8101a759f1b3768d382847e98fd3742b283dedf564fbde6031bb5","target":"graph","created_at":"2026-05-18T03:34:35Z","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 note, we give a criteria whether given two Eisenstein polynomials over a padic field define the same extension (Proposition 1.6). In particular, we completely identify Eisenstein polynomials of degree p (Theorem 1.16). This note is an English translation of a part of the original paper [12].","authors_text":"Manabu Yoshida, Shun'ichi Yokoyama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-05-27T10:39:29Z","title":"An identification for Eisenstein polynomials over a p-adic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5520","kind":"arxiv","version":2},"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:e620fcab03d157e2984c0c9155ef2b05b578251523cb7de85df70f2b1ddf4572","target":"record","created_at":"2026-05-18T03:34:35Z","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":"7f1d5441cbebd6a5378e5becca34297e89504e9ce1190ba4f6899e9fe61bfbf0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-05-27T10:39:29Z","title_canon_sha256":"5966287606a430ed5c98a65f2be44d7eb375c7d2515f1f1c747724d89b53c29a"},"schema_version":"1.0","source":{"id":"1105.5520","kind":"arxiv","version":2}},"canonical_sha256":"6de37289e9d1075b09fa5b6f036be825fa66129fea2a1d96f3649253f1edd238","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6de37289e9d1075b09fa5b6f036be825fa66129fea2a1d96f3649253f1edd238","first_computed_at":"2026-05-18T03:34:35.932756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:35.932756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DTB92Dqrs1KQ0zxfo8l/tT7jzySrHUriiEqYuFNBWb04C9lxj9pZTGXRHDQ3LaFsCg6UbUTVR+GGErXE0wWPAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:35.933648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.5520","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e620fcab03d157e2984c0c9155ef2b05b578251523cb7de85df70f2b1ddf4572","sha256:24bf40c740f8101a759f1b3768d382847e98fd3742b283dedf564fbde6031bb5"],"state_sha256":"a868df1b2dd240fde4cc41c7f8db565fe3d002ec4f08e4223e606ce2e01d2a77"}