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We show that Breuil's pseudocompact $(\\varphi,\\Gamma)$-module $D^\\vee_{\\xi}(\\pi)$ attached to a smooth $o$-torsion representation $\\pi$ of $B=\\mathbf{B}(\\mathbb{Q}_p)$ is isomorphic to the pseudocompact completion of the basechange $\\mathcal{O_E}\\otimes_{\\Lambda(N_0),\\ell}\\widetilde{D_{SV}}(\\pi)$ to Fontaine's ring (vi"},"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":"1412.5778","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-12-18T09:41:15Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"ec53c7cbcd4ae469c1480695bdc2e108d32d7a335881e9ce9a8d02ac2b328f32","abstract_canon_sha256":"5132a90f50e25e01f491c41a18ebb82df990bcd85e235ad4d3c3830e08b1f67c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:14.331229Z","signature_b64":"X/f5ggVJ6trSzEU9gaxE8Xs6v/7hrA5aSB2L92u9ryv06/scN6eSIJQvuNqdqsNQ4kUuGN0/GsrOJV28ahMPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"119265d4547933ff61e78114b0ca069ea392fd5adfac22d1adf40dd7a4d6f13e","last_reissued_at":"2026-05-18T00:40:14.330510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:14.330510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Links between generalized Montr\\'eal-functors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Gergely Z\\'abr\\'adi, M\\'arton Erd\\'elyi","submitted_at":"2014-12-18T09:41:15Z","abstract_excerpt":"Let $o$ be the ring of integers in a finite extension $K/\\mathbb{Q}_p$ and $G=\\mathbf{G}(\\mathbb{Q}_p)$ be the $\\mathbb{Q}_p$-points of a $\\mathbb{Q}_p$-split reductive group $\\mathbf{G}$ defined over $\\mathbb{Z}_p$ with connected centre and split Borel $\\mathbf{B}=\\mathbf{TN}$. We show that Breuil's pseudocompact $(\\varphi,\\Gamma)$-module $D^\\vee_{\\xi}(\\pi)$ attached to a smooth $o$-torsion representation $\\pi$ of $B=\\mathbf{B}(\\mathbb{Q}_p)$ is isomorphic to the pseudocompact completion of the basechange $\\mathcal{O_E}\\otimes_{\\Lambda(N_0),\\ell}\\widetilde{D_{SV}}(\\pi)$ to Fontaine's ring (vi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5778","kind":"arxiv","version":4},"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":"1412.5778","created_at":"2026-05-18T00:40:14.330629+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.5778v4","created_at":"2026-05-18T00:40:14.330629+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5778","created_at":"2026-05-18T00:40:14.330629+00:00"},{"alias_kind":"pith_short_12","alias_value":"CGJGLVCUPEZ7","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"CGJGLVCUPEZ76YPH","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"CGJGLVCU","created_at":"2026-05-18T12:28:22.404517+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/CGJGLVCUPEZ76YPHQEKLBSQGT2","json":"https://pith.science/pith/CGJGLVCUPEZ76YPHQEKLBSQGT2.json","graph_json":"https://pith.science/api/pith-number/CGJGLVCUPEZ76YPHQEKLBSQGT2/graph.json","events_json":"https://pith.science/api/pith-number/CGJGLVCUPEZ76YPHQEKLBSQGT2/events.json","paper":"https://pith.science/paper/CGJGLVCU"},"agent_actions":{"view_html":"https://pith.science/pith/CGJGLVCUPEZ76YPHQEKLBSQGT2","download_json":"https://pith.science/pith/CGJGLVCUPEZ76YPHQEKLBSQGT2.json","view_paper":"https://pith.science/paper/CGJGLVCU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.5778&json=true","fetch_graph":"https://pith.science/api/pith-number/CGJGLVCUPEZ76YPHQEKLBSQGT2/graph.json","fetch_events":"https://pith.science/api/pith-number/CGJGLVCUPEZ76YPHQEKLBSQGT2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CGJGLVCUPEZ76YPHQEKLBSQGT2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CGJGLVCUPEZ76YPHQEKLBSQGT2/action/storage_attestation","attest_author":"https://pith.science/pith/CGJGLVCUPEZ76YPHQEKLBSQGT2/action/author_attestation","sign_citation":"https://pith.science/pith/CGJGLVCUPEZ76YPHQEKLBSQGT2/action/citation_signature","submit_replication":"https://pith.science/pith/CGJGLVCUPEZ76YPHQEKLBSQGT2/action/replication_record"}},"created_at":"2026-05-18T00:40:14.330629+00:00","updated_at":"2026-05-18T00:40:14.330629+00:00"}