{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VYRO4EF6MQ6DIPC27NHWKVEYFZ","short_pith_number":"pith:VYRO4EF6","canonical_record":{"source":{"id":"2606.09673","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2026-06-08T15:54:44Z","cross_cats_sorted":["math.DS","math.FA","math.GN"],"title_canon_sha256":"327b6b417138c61070fddd20712912b8ed8503e894566e496a0f5ac6a31fc44b","abstract_canon_sha256":"9a8d90a0f3d09fa4dd38c2d8b67b0bff38793294840df6f83cc17836984adc65"},"schema_version":"1.0"},"canonical_sha256":"ae22ee10be643c343c5afb4f6554982e70850ec019f297d9fe0d9d124088140b","source":{"kind":"arxiv","id":"2606.09673","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.09673","created_at":"2026-06-09T02:09:03Z"},{"alias_kind":"arxiv_version","alias_value":"2606.09673v1","created_at":"2026-06-09T02:09:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.09673","created_at":"2026-06-09T02:09:03Z"},{"alias_kind":"pith_short_12","alias_value":"VYRO4EF6MQ6D","created_at":"2026-06-09T02:09:03Z"},{"alias_kind":"pith_short_16","alias_value":"VYRO4EF6MQ6DIPC2","created_at":"2026-06-09T02:09:03Z"},{"alias_kind":"pith_short_8","alias_value":"VYRO4EF6","created_at":"2026-06-09T02:09:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VYRO4EF6MQ6DIPC27NHWKVEYFZ","target":"record","payload":{"canonical_record":{"source":{"id":"2606.09673","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2026-06-08T15:54:44Z","cross_cats_sorted":["math.DS","math.FA","math.GN"],"title_canon_sha256":"327b6b417138c61070fddd20712912b8ed8503e894566e496a0f5ac6a31fc44b","abstract_canon_sha256":"9a8d90a0f3d09fa4dd38c2d8b67b0bff38793294840df6f83cc17836984adc65"},"schema_version":"1.0"},"canonical_sha256":"ae22ee10be643c343c5afb4f6554982e70850ec019f297d9fe0d9d124088140b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:09:03.081052Z","signature_b64":"VUyyglFHpYKn9tzimBxUdO1HaiArKsMwbF6Z5HM5A/H8BtKuQP28DG38SKXCWBuihfMGWmaXPjKUMsxnT5ViCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae22ee10be643c343c5afb4f6554982e70850ec019f297d9fe0d9d124088140b","last_reissued_at":"2026-06-09T02:09:03.080612Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:09:03.080612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.09673","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-09T02:09:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R+mfCzOOaecUr58JSJ78fWNtzCrOslQXuDWFEGvd2aGOyNVbiB4Px3P+tcV1P4zegXYZKqAOSzRWsOcoTJG2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T14:45:08.319616Z"},"content_sha256":"834bbf006b89cfd577ee5d27d0ed26a749031f5dfc31cc35c5d80a7f50736cf4","schema_version":"1.0","event_id":"sha256:834bbf006b89cfd577ee5d27d0ed26a749031f5dfc31cc35c5d80a7f50736cf4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VYRO4EF6MQ6DIPC27NHWKVEYFZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniformly recurrent subalgebras in finite von Neumann algebras","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS","math.FA","math.GN"],"primary_cat":"math.OA","authors_text":"Pierre Fima, Tattwamasi Amrutam, Yongle Jiang","submitted_at":"2026-06-08T15:54:44Z","abstract_excerpt":"We introduce the notion of a uniformly recurrent subalgebra (URA) for a trace-preserving action of a countable discrete group $\\Gamma$ on a finite von Neumann algebra $M$, providing an operator-algebraic counterpart to the theory of uniformly recurrent subgroups (URS). We also show that the Effros-Mar\\'echal space $\\text{Sub}(M)$ is compact if and only if $M$ lacks a diffuse direct summand. Leveraging this, we show that URAs can exhibit arbitrary topological complexity and construct exotic URAs homeomorphic to any prescribed minimal Polish space. In the context of crossed products $M \\rtimes \\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.09673","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.09673/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-09T02:09:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BgGfZaKhbKrTd5cOVgfCF/b2PnyhDk9iHQYXe3l/0aI7DjiLayGlqARyI4c3Xm+YfnASkX8c2YJP6V7iNsMNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T14:45:08.320344Z"},"content_sha256":"1d8dcc0a966e455b3634796361df81c40912aa1cea1f7457772ac29a6a40e966","schema_version":"1.0","event_id":"sha256:1d8dcc0a966e455b3634796361df81c40912aa1cea1f7457772ac29a6a40e966"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VYRO4EF6MQ6DIPC27NHWKVEYFZ/bundle.json","state_url":"https://pith.science/pith/VYRO4EF6MQ6DIPC27NHWKVEYFZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VYRO4EF6MQ6DIPC27NHWKVEYFZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-21T14:45:08Z","links":{"resolver":"https://pith.science/pith/VYRO4EF6MQ6DIPC27NHWKVEYFZ","bundle":"https://pith.science/pith/VYRO4EF6MQ6DIPC27NHWKVEYFZ/bundle.json","state":"https://pith.science/pith/VYRO4EF6MQ6DIPC27NHWKVEYFZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VYRO4EF6MQ6DIPC27NHWKVEYFZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VYRO4EF6MQ6DIPC27NHWKVEYFZ","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":"9a8d90a0f3d09fa4dd38c2d8b67b0bff38793294840df6f83cc17836984adc65","cross_cats_sorted":["math.DS","math.FA","math.GN"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2026-06-08T15:54:44Z","title_canon_sha256":"327b6b417138c61070fddd20712912b8ed8503e894566e496a0f5ac6a31fc44b"},"schema_version":"1.0","source":{"id":"2606.09673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.09673","created_at":"2026-06-09T02:09:03Z"},{"alias_kind":"arxiv_version","alias_value":"2606.09673v1","created_at":"2026-06-09T02:09:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.09673","created_at":"2026-06-09T02:09:03Z"},{"alias_kind":"pith_short_12","alias_value":"VYRO4EF6MQ6D","created_at":"2026-06-09T02:09:03Z"},{"alias_kind":"pith_short_16","alias_value":"VYRO4EF6MQ6DIPC2","created_at":"2026-06-09T02:09:03Z"},{"alias_kind":"pith_short_8","alias_value":"VYRO4EF6","created_at":"2026-06-09T02:09:03Z"}],"graph_snapshots":[{"event_id":"sha256:1d8dcc0a966e455b3634796361df81c40912aa1cea1f7457772ac29a6a40e966","target":"graph","created_at":"2026-06-09T02:09:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.09673/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the notion of a uniformly recurrent subalgebra (URA) for a trace-preserving action of a countable discrete group $\\Gamma$ on a finite von Neumann algebra $M$, providing an operator-algebraic counterpart to the theory of uniformly recurrent subgroups (URS). We also show that the Effros-Mar\\'echal space $\\text{Sub}(M)$ is compact if and only if $M$ lacks a diffuse direct summand. Leveraging this, we show that URAs can exhibit arbitrary topological complexity and construct exotic URAs homeomorphic to any prescribed minimal Polish space. In the context of crossed products $M \\rtimes \\","authors_text":"Pierre Fima, Tattwamasi Amrutam, Yongle Jiang","cross_cats":["math.DS","math.FA","math.GN"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2026-06-08T15:54:44Z","title":"Uniformly recurrent subalgebras in finite von Neumann algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.09673","kind":"arxiv","version":1},"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":"sha256:834bbf006b89cfd577ee5d27d0ed26a749031f5dfc31cc35c5d80a7f50736cf4","target":"record","created_at":"2026-06-09T02:09:03Z","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":"9a8d90a0f3d09fa4dd38c2d8b67b0bff38793294840df6f83cc17836984adc65","cross_cats_sorted":["math.DS","math.FA","math.GN"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2026-06-08T15:54:44Z","title_canon_sha256":"327b6b417138c61070fddd20712912b8ed8503e894566e496a0f5ac6a31fc44b"},"schema_version":"1.0","source":{"id":"2606.09673","kind":"arxiv","version":1}},"canonical_sha256":"ae22ee10be643c343c5afb4f6554982e70850ec019f297d9fe0d9d124088140b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae22ee10be643c343c5afb4f6554982e70850ec019f297d9fe0d9d124088140b","first_computed_at":"2026-06-09T02:09:03.080612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:09:03.080612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VUyyglFHpYKn9tzimBxUdO1HaiArKsMwbF6Z5HM5A/H8BtKuQP28DG38SKXCWBuihfMGWmaXPjKUMsxnT5ViCg==","signature_status":"signed_v1","signed_at":"2026-06-09T02:09:03.081052Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.09673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:834bbf006b89cfd577ee5d27d0ed26a749031f5dfc31cc35c5d80a7f50736cf4","sha256:1d8dcc0a966e455b3634796361df81c40912aa1cea1f7457772ac29a6a40e966"],"state_sha256":"229ad284b030e9ab036d50efd3aa5c37ed0fb4f763f5f462ea5cb98ae7d5e27e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2vK9YAKBAY1C+tvxvoCXvbLc9Ev1+pN9DI2r/Y4ricPWRuUTNQE/k2sClZng3/KF+GI1f0uk6vdYuoLDU8EjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T14:45:08.323954Z","bundle_sha256":"b79a855d3f11cb88a7c473f70200ec171b70bce8aa85d4fefb2be665bd1fe191"}}