{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YO37IQ2W7LEVOMDWUNHVZHQMKH","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":"b600c001cf3ab17611b45e20e47b343b1e2c61f91c9c23850113d7f3717edb13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-04T18:24:18Z","title_canon_sha256":"cf1f4fcfc0c2cd70bd6f820c186039d8798c1d4eb559d5c06944b3cbb0e14178"},"schema_version":"1.0","source":{"id":"1301.0792","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0792","created_at":"2026-05-18T02:16:21Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0792v5","created_at":"2026-05-18T02:16:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0792","created_at":"2026-05-18T02:16:21Z"},{"alias_kind":"pith_short_12","alias_value":"YO37IQ2W7LEV","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YO37IQ2W7LEVOMDW","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YO37IQ2W","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:9fb9e320e84189b39fefd36f35a65ca16c095acfd6d9d7a2080c860f926f8a03","target":"graph","created_at":"2026-05-18T02:16:21Z","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":"We describe a new approach to relative p-adic Hodge theory based on systematic use of Witt vector constructions and nonarchimedean analytic geometry in the style of both Berkovich and Huber. We give a thorough development of phi-modules over a relative Robba ring associated to a perfect Banach ring of characteristic p, including the relationship between these objects and etale Z_p-local systems and Q_p-local systems on the algebraic and analytic spaces associated to the base ring, and the relationship between etale cohomology and phi-cohomology. We also make a critical link to mixed characteri","authors_text":"Kiran S. Kedlaya, Ruochuan Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-04T18:24:18Z","title":"Relative p-adic Hodge theory: Foundations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0792","kind":"arxiv","version":5},"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:bae74e1e896c0bf7bc9e24e356202a3472642bf87b378b19d3972c556c36b3ed","target":"record","created_at":"2026-05-18T02:16:21Z","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":"b600c001cf3ab17611b45e20e47b343b1e2c61f91c9c23850113d7f3717edb13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-04T18:24:18Z","title_canon_sha256":"cf1f4fcfc0c2cd70bd6f820c186039d8798c1d4eb559d5c06944b3cbb0e14178"},"schema_version":"1.0","source":{"id":"1301.0792","kind":"arxiv","version":5}},"canonical_sha256":"c3b7f44356fac9573076a34f5c9e0c51e93b92222d468addc6b461f64e5fa30d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3b7f44356fac9573076a34f5c9e0c51e93b92222d468addc6b461f64e5fa30d","first_computed_at":"2026-05-18T02:16:21.543091Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:21.543091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"612I/w3e4XO+0iREqJ9ISOQnvilJ2cJlPeIwSbRmQSvG3bY63XVPblZSLdbvXBHtvfn1viCYA3kng7K1OGllDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:21.543814Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0792","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bae74e1e896c0bf7bc9e24e356202a3472642bf87b378b19d3972c556c36b3ed","sha256:9fb9e320e84189b39fefd36f35a65ca16c095acfd6d9d7a2080c860f926f8a03"],"state_sha256":"82e111e279cfff9701c0af6a4082f0d1d1b016b84363955eda4165d80052ed5b"}