{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:J3LBXY64IVDNGMNPXXSAUGPJHQ","short_pith_number":"pith:J3LBXY64","canonical_record":{"source":{"id":"1602.04255","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-02-12T22:46:38Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"05f1fb7b0b957232efd70edcb29f53edf9850367c06b8ac910e2e273cedd7626","abstract_canon_sha256":"11394017e67e0dbb0fc94af9ac29d07846b52fe1d4fe8a001f3472412039be1c"},"schema_version":"1.0"},"canonical_sha256":"4ed61be3dc4546d331afbde40a19e93c139b1f7bb5f25483cc2a582218913e36","source":{"kind":"arxiv","id":"1602.04255","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04255","created_at":"2026-05-18T00:56:31Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04255v2","created_at":"2026-05-18T00:56:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04255","created_at":"2026-05-18T00:56:31Z"},{"alias_kind":"pith_short_12","alias_value":"J3LBXY64IVDN","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J3LBXY64IVDNGMNP","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J3LBXY64","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:J3LBXY64IVDNGMNPXXSAUGPJHQ","target":"record","payload":{"canonical_record":{"source":{"id":"1602.04255","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-02-12T22:46:38Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"05f1fb7b0b957232efd70edcb29f53edf9850367c06b8ac910e2e273cedd7626","abstract_canon_sha256":"11394017e67e0dbb0fc94af9ac29d07846b52fe1d4fe8a001f3472412039be1c"},"schema_version":"1.0"},"canonical_sha256":"4ed61be3dc4546d331afbde40a19e93c139b1f7bb5f25483cc2a582218913e36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:31.316925Z","signature_b64":"4tIPTnGrk1Blgw9s949flmoEVQlQ71JI9gIRh8BqT+R6A1WmMtuCwqoaIhKQojI900/nIeWmtYiGgz6Eooe8BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ed61be3dc4546d331afbde40a19e93c139b1f7bb5f25483cc2a582218913e36","last_reissued_at":"2026-05-18T00:56:31.316193Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:31.316193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.04255","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":"2026-05-18T00:56:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1GfQiW2uiOpmR4k/whzE2JzUNdaqFKpZ/rr6z64EDHMGlICG4vk/c4z/71ci/X2QLg8XWsSEYB0YrPD/N/pXCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T03:13:46.342430Z"},"content_sha256":"c82749de00d45b4596f013116d33c52bfa53d972a138e95759169dc3cbc12ae9","schema_version":"1.0","event_id":"sha256:c82749de00d45b4596f013116d33c52bfa53d972a138e95759169dc3cbc12ae9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:J3LBXY64IVDNGMNPXXSAUGPJHQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On topological full groups of Z^d-actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GR","authors_text":"K. Juschenko, M. Chornyi, V. Nekrashevych","submitted_at":"2016-02-12T22:46:38Z","abstract_excerpt":"We give new examples of simple finitely generated groups arising from actions of free abelian groups on the Cantor sets. As particular examples, we discuss groups of interval exchange transformations, and a group naturally associated with the Penrose tilings. Many groups in this class are amenable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04255","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":"2026-05-18T00:56:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ei7OvCRcLSVCM9WyUOrruHDDVo3XvkYNKGVziGZ0FZafmt6pR+LIqXnP7j/BenHt+LzPLzYFMKeK6l1gsj1PDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T03:13:46.343160Z"},"content_sha256":"b6bffea12cd2301e6617ad65e3bae2ddb3f399954143f34da75e6cc4a18f4e3d","schema_version":"1.0","event_id":"sha256:b6bffea12cd2301e6617ad65e3bae2ddb3f399954143f34da75e6cc4a18f4e3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J3LBXY64IVDNGMNPXXSAUGPJHQ/bundle.json","state_url":"https://pith.science/pith/J3LBXY64IVDNGMNPXXSAUGPJHQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J3LBXY64IVDNGMNPXXSAUGPJHQ/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":"2026-06-10T03:13:46Z","links":{"resolver":"https://pith.science/pith/J3LBXY64IVDNGMNPXXSAUGPJHQ","bundle":"https://pith.science/pith/J3LBXY64IVDNGMNPXXSAUGPJHQ/bundle.json","state":"https://pith.science/pith/J3LBXY64IVDNGMNPXXSAUGPJHQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J3LBXY64IVDNGMNPXXSAUGPJHQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J3LBXY64IVDNGMNPXXSAUGPJHQ","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":"11394017e67e0dbb0fc94af9ac29d07846b52fe1d4fe8a001f3472412039be1c","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-02-12T22:46:38Z","title_canon_sha256":"05f1fb7b0b957232efd70edcb29f53edf9850367c06b8ac910e2e273cedd7626"},"schema_version":"1.0","source":{"id":"1602.04255","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04255","created_at":"2026-05-18T00:56:31Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04255v2","created_at":"2026-05-18T00:56:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04255","created_at":"2026-05-18T00:56:31Z"},{"alias_kind":"pith_short_12","alias_value":"J3LBXY64IVDN","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J3LBXY64IVDNGMNP","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J3LBXY64","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:b6bffea12cd2301e6617ad65e3bae2ddb3f399954143f34da75e6cc4a18f4e3d","target":"graph","created_at":"2026-05-18T00:56:31Z","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 give new examples of simple finitely generated groups arising from actions of free abelian groups on the Cantor sets. As particular examples, we discuss groups of interval exchange transformations, and a group naturally associated with the Penrose tilings. Many groups in this class are amenable.","authors_text":"K. Juschenko, M. Chornyi, V. Nekrashevych","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-02-12T22:46:38Z","title":"On topological full groups of Z^d-actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04255","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:c82749de00d45b4596f013116d33c52bfa53d972a138e95759169dc3cbc12ae9","target":"record","created_at":"2026-05-18T00:56:31Z","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":"11394017e67e0dbb0fc94af9ac29d07846b52fe1d4fe8a001f3472412039be1c","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-02-12T22:46:38Z","title_canon_sha256":"05f1fb7b0b957232efd70edcb29f53edf9850367c06b8ac910e2e273cedd7626"},"schema_version":"1.0","source":{"id":"1602.04255","kind":"arxiv","version":2}},"canonical_sha256":"4ed61be3dc4546d331afbde40a19e93c139b1f7bb5f25483cc2a582218913e36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ed61be3dc4546d331afbde40a19e93c139b1f7bb5f25483cc2a582218913e36","first_computed_at":"2026-05-18T00:56:31.316193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:31.316193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4tIPTnGrk1Blgw9s949flmoEVQlQ71JI9gIRh8BqT+R6A1WmMtuCwqoaIhKQojI900/nIeWmtYiGgz6Eooe8BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:31.316925Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.04255","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c82749de00d45b4596f013116d33c52bfa53d972a138e95759169dc3cbc12ae9","sha256:b6bffea12cd2301e6617ad65e3bae2ddb3f399954143f34da75e6cc4a18f4e3d"],"state_sha256":"fb54b4845f7edf00931e79228199a7ea642273b76f86216c7b6932bb770693a3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gPUhk7NmE2TNLc0jR/eGTp4QSabfwLpB8AS447Ecu4JKMVQXEwxcWKttr15aWTQVokYlb5y5kYYa9xvH4BJqCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T03:13:46.347310Z","bundle_sha256":"eab1dc210d32a75e1b1a96ee5f93dd300ddae3141d2f9b7ec5bdfcfe9e54e49d"}}