{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:C2VME2A6PXPJVHFW2GXN2QICRO","short_pith_number":"pith:C2VME2A6","canonical_record":{"source":{"id":"1707.03578","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-07-12T07:39:21Z","cross_cats_sorted":["math.KT","math.RT"],"title_canon_sha256":"99a0ead50d44541da6e254300a8102ef6194b5fe8652afe26cb79483dde3b231","abstract_canon_sha256":"a4d2e7934ab57764ec67884a2e3995af24c0a25509b362ec9cc9e8d30fc44a96"},"schema_version":"1.0"},"canonical_sha256":"16aac2681e7dde9a9cb6d1aedd41028b89ca9caa66a03db8e42656808df763d5","source":{"kind":"arxiv","id":"1707.03578","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03578","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03578v2","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03578","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"C2VME2A6PXPJ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C2VME2A6PXPJVHFW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C2VME2A6","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:C2VME2A6PXPJVHFW2GXN2QICRO","target":"record","payload":{"canonical_record":{"source":{"id":"1707.03578","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-07-12T07:39:21Z","cross_cats_sorted":["math.KT","math.RT"],"title_canon_sha256":"99a0ead50d44541da6e254300a8102ef6194b5fe8652afe26cb79483dde3b231","abstract_canon_sha256":"a4d2e7934ab57764ec67884a2e3995af24c0a25509b362ec9cc9e8d30fc44a96"},"schema_version":"1.0"},"canonical_sha256":"16aac2681e7dde9a9cb6d1aedd41028b89ca9caa66a03db8e42656808df763d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:12.627856Z","signature_b64":"LKbBYCw2sNuDc5JddyaMWpzX41htlw4B2hqiqEbDbXqUhPMjJeW7VKYuRhg/DXVIreTKpGCyPJvirL5Dc5nPBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16aac2681e7dde9a9cb6d1aedd41028b89ca9caa66a03db8e42656808df763d5","last_reissued_at":"2026-05-18T00:40:12.627357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:12.627357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.03578","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+SQTOBtick2FQwmfEd7esHUb3spRe+nREOLMeFYFWN4Ub5fmGG3mI38WHzN6IoEfkP5b189yfaJE1o0NVIOeAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:53:23.148003Z"},"content_sha256":"4a997d5aef17e0173dd6455db72c1a8e8e4723de53e00eabc8d7eafc2d032521","schema_version":"1.0","event_id":"sha256:4a997d5aef17e0173dd6455db72c1a8e8e4723de53e00eabc8d7eafc2d032521"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:C2VME2A6PXPJVHFW2GXN2QICRO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Invariant random subgroups over non-Archimedean local fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT","math.RT"],"primary_cat":"math.GR","authors_text":"Arie Levit, Tsachik Gelander","submitted_at":"2017-07-12T07:39:21Z","abstract_excerpt":"Let $G$ be a higher rank semisimple linear algebraic group over a non-Archimedean local field. The simplicial complexes corresponding to any sequence of pairwise non-conjugate irreducible lattices in $G$ are Benjamini-Schramm convergent to the Bruhat-Tits building. Convergence of the relative Plancherel measures and normalized Betti numbers follows. This extends the work of Abert, Bergeron, Biringer, Gelander, Nokolov, Raimbault and Samet from real Lie groups to linear groups over arbitrary local fields. Along the way, various results concerning Invariant Random Subgroups and in particular a v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03578","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t9n8om5c1mrqRoAx51Ws/mNIYENoDw1fzXY3Sj5MdSkehY55gsK/0LXkrNPk82OjSES356BYTQYin8t1dPYKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:53:23.148700Z"},"content_sha256":"e45110686a445b1e8714efa6b901e376a472d36e1b974a0f669ab89919a3705e","schema_version":"1.0","event_id":"sha256:e45110686a445b1e8714efa6b901e376a472d36e1b974a0f669ab89919a3705e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C2VME2A6PXPJVHFW2GXN2QICRO/bundle.json","state_url":"https://pith.science/pith/C2VME2A6PXPJVHFW2GXN2QICRO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C2VME2A6PXPJVHFW2GXN2QICRO/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":"2026-06-07T17:53:23Z","links":{"resolver":"https://pith.science/pith/C2VME2A6PXPJVHFW2GXN2QICRO","bundle":"https://pith.science/pith/C2VME2A6PXPJVHFW2GXN2QICRO/bundle.json","state":"https://pith.science/pith/C2VME2A6PXPJVHFW2GXN2QICRO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C2VME2A6PXPJVHFW2GXN2QICRO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:C2VME2A6PXPJVHFW2GXN2QICRO","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":"a4d2e7934ab57764ec67884a2e3995af24c0a25509b362ec9cc9e8d30fc44a96","cross_cats_sorted":["math.KT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-07-12T07:39:21Z","title_canon_sha256":"99a0ead50d44541da6e254300a8102ef6194b5fe8652afe26cb79483dde3b231"},"schema_version":"1.0","source":{"id":"1707.03578","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03578","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03578v2","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03578","created_at":"2026-05-18T00:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"C2VME2A6PXPJ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C2VME2A6PXPJVHFW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C2VME2A6","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:e45110686a445b1e8714efa6b901e376a472d36e1b974a0f669ab89919a3705e","target":"graph","created_at":"2026-05-18T00:40:12Z","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":"Let $G$ be a higher rank semisimple linear algebraic group over a non-Archimedean local field. The simplicial complexes corresponding to any sequence of pairwise non-conjugate irreducible lattices in $G$ are Benjamini-Schramm convergent to the Bruhat-Tits building. Convergence of the relative Plancherel measures and normalized Betti numbers follows. This extends the work of Abert, Bergeron, Biringer, Gelander, Nokolov, Raimbault and Samet from real Lie groups to linear groups over arbitrary local fields. Along the way, various results concerning Invariant Random Subgroups and in particular a v","authors_text":"Arie Levit, Tsachik Gelander","cross_cats":["math.KT","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-07-12T07:39:21Z","title":"Invariant random subgroups over non-Archimedean local fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03578","kind":"arxiv","version":2},"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":"sha256:4a997d5aef17e0173dd6455db72c1a8e8e4723de53e00eabc8d7eafc2d032521","target":"record","created_at":"2026-05-18T00:40:12Z","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":"a4d2e7934ab57764ec67884a2e3995af24c0a25509b362ec9cc9e8d30fc44a96","cross_cats_sorted":["math.KT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-07-12T07:39:21Z","title_canon_sha256":"99a0ead50d44541da6e254300a8102ef6194b5fe8652afe26cb79483dde3b231"},"schema_version":"1.0","source":{"id":"1707.03578","kind":"arxiv","version":2}},"canonical_sha256":"16aac2681e7dde9a9cb6d1aedd41028b89ca9caa66a03db8e42656808df763d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16aac2681e7dde9a9cb6d1aedd41028b89ca9caa66a03db8e42656808df763d5","first_computed_at":"2026-05-18T00:40:12.627357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:12.627357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LKbBYCw2sNuDc5JddyaMWpzX41htlw4B2hqiqEbDbXqUhPMjJeW7VKYuRhg/DXVIreTKpGCyPJvirL5Dc5nPBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:12.627856Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.03578","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a997d5aef17e0173dd6455db72c1a8e8e4723de53e00eabc8d7eafc2d032521","sha256:e45110686a445b1e8714efa6b901e376a472d36e1b974a0f669ab89919a3705e"],"state_sha256":"2842b16a40321b0e19cbed455acb5303691d9c455284c8b159053334e0872bef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1h3S+tpY92EAbKCPtOW5ajf3br+xzha1PtTFnsE6PvD6jx0m5WUNKJDm+HHVWQcHi7fcKJhgJYgpYv/IOQASBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:53:23.152200Z","bundle_sha256":"f3d981193f629a1dd192572283af9aa10d73795f387c5af0cbd6a9bac0f43a46"}}