{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4ZBJ5S4ZOUAIRD3GPRUJJUFTRM","short_pith_number":"pith:4ZBJ5S4Z","schema_version":"1.0","canonical_sha256":"e6429ecb997500888f667c6894d0b38b090875beba2dc63bdd97e2e694bfe942","source":{"kind":"arxiv","id":"1211.6357","version":2},"attestation_state":"computed","paper":{"title":"Moduli of p-divisible groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Jared Weinstein, Peter Scholze","submitted_at":"2012-11-27T16:48:21Z","abstract_excerpt":"We prove several results about p-divisible groups and Rapoport-Zink spaces. Our main goal is to prove that Rapoport-Zink spaces at infinite level are naturally perfectoid spaces, and to give a description of these spaces purely in terms of p-adic Hodge theory. This allows us to formulate and prove duality isomorphisms between basic Rapoport-Zink spaces at infinite level in general. Moreover, we identify the image of the period morphism, reproving results of Faltings. For this, we give a general classification of p-divisible groups over the ring of integers of a complete algebraically closed fi"},"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":"1211.6357","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-11-27T16:48:21Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"adeffd8740e5510a3ff5d1a17f9e0a4fc8f27e97c69fef82a07e60642dd902b9","abstract_canon_sha256":"e96e275e3a53f97e48409b436371477ad33814092db2c225c3953fbb99f5591e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:05.322459Z","signature_b64":"KBAeBPhCGd8iwwbzcOrsvlHenz1TxO/+XAUO0OyXC9Wx8mRgHVb8UyaVoojs+SjgOe2h8INV8NE1NVgf7aDqAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6429ecb997500888f667c6894d0b38b090875beba2dc63bdd97e2e694bfe942","last_reissued_at":"2026-05-18T03:28:05.321651Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:05.321651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moduli of p-divisible groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Jared Weinstein, Peter Scholze","submitted_at":"2012-11-27T16:48:21Z","abstract_excerpt":"We prove several results about p-divisible groups and Rapoport-Zink spaces. Our main goal is to prove that Rapoport-Zink spaces at infinite level are naturally perfectoid spaces, and to give a description of these spaces purely in terms of p-adic Hodge theory. This allows us to formulate and prove duality isomorphisms between basic Rapoport-Zink spaces at infinite level in general. Moreover, we identify the image of the period morphism, reproving results of Faltings. For this, we give a general classification of p-divisible groups over the ring of integers of a complete algebraically closed fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6357","kind":"arxiv","version":2},"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":"1211.6357","created_at":"2026-05-18T03:28:05.321778+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.6357v2","created_at":"2026-05-18T03:28:05.321778+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6357","created_at":"2026-05-18T03:28:05.321778+00:00"},{"alias_kind":"pith_short_12","alias_value":"4ZBJ5S4ZOUAI","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4ZBJ5S4ZOUAIRD3G","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4ZBJ5S4Z","created_at":"2026-05-18T12:26:53.410803+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/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM","json":"https://pith.science/pith/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM.json","graph_json":"https://pith.science/api/pith-number/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM/graph.json","events_json":"https://pith.science/api/pith-number/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM/events.json","paper":"https://pith.science/paper/4ZBJ5S4Z"},"agent_actions":{"view_html":"https://pith.science/pith/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM","download_json":"https://pith.science/pith/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM.json","view_paper":"https://pith.science/paper/4ZBJ5S4Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.6357&json=true","fetch_graph":"https://pith.science/api/pith-number/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM/graph.json","fetch_events":"https://pith.science/api/pith-number/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM/action/storage_attestation","attest_author":"https://pith.science/pith/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM/action/author_attestation","sign_citation":"https://pith.science/pith/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM/action/citation_signature","submit_replication":"https://pith.science/pith/4ZBJ5S4ZOUAIRD3GPRUJJUFTRM/action/replication_record"}},"created_at":"2026-05-18T03:28:05.321778+00:00","updated_at":"2026-05-18T03:28:05.321778+00:00"}