{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ESSK7PWTSPRHOSAVOT2NJFWEVK","short_pith_number":"pith:ESSK7PWT","schema_version":"1.0","canonical_sha256":"24a4afbed393e277481574f4d496c4aaad7b786307f13834634924428f21d84e","source":{"kind":"arxiv","id":"1005.2008","version":3},"attestation_state":"computed","paper":{"title":"The image of Colmez's Montreal functor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Vytautas Paskunas","submitted_at":"2010-05-12T07:10:49Z","abstract_excerpt":"We prove a conjecture of Colmez concerning the reduction modulo $p$ of invariant lattices in irreducible admissible unitary $p$-adic Banach space representations of $GL_2(Q_p)$ with $p\\ge 5$. This enables us to restate nicely the $p$-adic local Langlands correspondence for $GL_2(Q_p)$ and deduce a conjecture of Breuil on irreducible admissible unitary completions of locally algebraic representations."},"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":"1005.2008","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-05-12T07:10:49Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"631d5b465ee61343828d8623a5bb8f88152ace4a8c95af346544b7ea88c2ec16","abstract_canon_sha256":"6f2d49723884242e37b498b2725b2f01405b76583e6974f880cba28db56baead"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:09.423554Z","signature_b64":"jRPUivo7W2jasufL4asvK9SkOudDpjY6i4Ew+3ppF1u8pTysfFYGPHmr4bvOxGIF8tyAva7Vr0YFBzC6m6APDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24a4afbed393e277481574f4d496c4aaad7b786307f13834634924428f21d84e","last_reissued_at":"2026-05-18T03:37:09.422810Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:09.422810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The image of Colmez's Montreal functor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Vytautas Paskunas","submitted_at":"2010-05-12T07:10:49Z","abstract_excerpt":"We prove a conjecture of Colmez concerning the reduction modulo $p$ of invariant lattices in irreducible admissible unitary $p$-adic Banach space representations of $GL_2(Q_p)$ with $p\\ge 5$. This enables us to restate nicely the $p$-adic local Langlands correspondence for $GL_2(Q_p)$ and deduce a conjecture of Breuil on irreducible admissible unitary completions of locally algebraic representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2008","kind":"arxiv","version":3},"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":"1005.2008","created_at":"2026-05-18T03:37:09.422923+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.2008v3","created_at":"2026-05-18T03:37:09.422923+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2008","created_at":"2026-05-18T03:37:09.422923+00:00"},{"alias_kind":"pith_short_12","alias_value":"ESSK7PWTSPRH","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"ESSK7PWTSPRHOSAV","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"ESSK7PWT","created_at":"2026-05-18T12:26:06.534383+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/ESSK7PWTSPRHOSAVOT2NJFWEVK","json":"https://pith.science/pith/ESSK7PWTSPRHOSAVOT2NJFWEVK.json","graph_json":"https://pith.science/api/pith-number/ESSK7PWTSPRHOSAVOT2NJFWEVK/graph.json","events_json":"https://pith.science/api/pith-number/ESSK7PWTSPRHOSAVOT2NJFWEVK/events.json","paper":"https://pith.science/paper/ESSK7PWT"},"agent_actions":{"view_html":"https://pith.science/pith/ESSK7PWTSPRHOSAVOT2NJFWEVK","download_json":"https://pith.science/pith/ESSK7PWTSPRHOSAVOT2NJFWEVK.json","view_paper":"https://pith.science/paper/ESSK7PWT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.2008&json=true","fetch_graph":"https://pith.science/api/pith-number/ESSK7PWTSPRHOSAVOT2NJFWEVK/graph.json","fetch_events":"https://pith.science/api/pith-number/ESSK7PWTSPRHOSAVOT2NJFWEVK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ESSK7PWTSPRHOSAVOT2NJFWEVK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ESSK7PWTSPRHOSAVOT2NJFWEVK/action/storage_attestation","attest_author":"https://pith.science/pith/ESSK7PWTSPRHOSAVOT2NJFWEVK/action/author_attestation","sign_citation":"https://pith.science/pith/ESSK7PWTSPRHOSAVOT2NJFWEVK/action/citation_signature","submit_replication":"https://pith.science/pith/ESSK7PWTSPRHOSAVOT2NJFWEVK/action/replication_record"}},"created_at":"2026-05-18T03:37:09.422923+00:00","updated_at":"2026-05-18T03:37:09.422923+00:00"}