{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HONWXNKV6GBZHZ4PVI3WBE7XNZ","short_pith_number":"pith:HONWXNKV","canonical_record":{"source":{"id":"1803.06679","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-03-18T15:43:04Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"8db80d35cde25f819542a3890ef15a386946d73fb0a1f3fb51c24735e4e4a90b","abstract_canon_sha256":"69037b8376dab15e50a6a96814df541b30ac525cf2d821828cdc26711b70784e"},"schema_version":"1.0"},"canonical_sha256":"3b9b6bb555f18393e78faa376093f76e5c2091351babde05eb068da62e2fb690","source":{"kind":"arxiv","id":"1803.06679","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06679","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06679v1","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06679","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"pith_short_12","alias_value":"HONWXNKV6GBZ","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HONWXNKV6GBZHZ4P","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HONWXNKV","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HONWXNKV6GBZHZ4PVI3WBE7XNZ","target":"record","payload":{"canonical_record":{"source":{"id":"1803.06679","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-03-18T15:43:04Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"8db80d35cde25f819542a3890ef15a386946d73fb0a1f3fb51c24735e4e4a90b","abstract_canon_sha256":"69037b8376dab15e50a6a96814df541b30ac525cf2d821828cdc26711b70784e"},"schema_version":"1.0"},"canonical_sha256":"3b9b6bb555f18393e78faa376093f76e5c2091351babde05eb068da62e2fb690","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:45.292649Z","signature_b64":"dqMBISia+/kWJI909csA80SROxM5rT9xRtj+5W+UHLrzVVK4GSj0ooS3sJMUpqpBm2j9NGmKtf1gr5XsPcb5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b9b6bb555f18393e78faa376093f76e5c2091351babde05eb068da62e2fb690","last_reissued_at":"2026-05-18T00:20:45.292032Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:45.292032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.06679","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":"2026-05-18T00:20:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2WDd8L0+Kwj2qek3nNuuBgYQkP3iyVm+m0qUJmQOlUnSE/WwJB7FtoJifIvjmcEg1ueNzj+w57Ni0Dxz7Q7kBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T15:10:23.513123Z"},"content_sha256":"b22375e1cf25057da21f49e7413c642ffc81fd9e3109f03032e198ad78fa90b9","schema_version":"1.0","event_id":"sha256:b22375e1cf25057da21f49e7413c642ffc81fd9e3109f03032e198ad78fa90b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HONWXNKV6GBZHZ4PVI3WBE7XNZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kirchberg--Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.GR","authors_text":"Chris Cave, Joachim Zacharias","submitted_at":"2018-03-18T15:43:04Z","abstract_excerpt":"We show that in order to prove that every second countable locally compact groups with exact reduced group C*-algebra is exact in the dynamical sense (i.e. KW-exact) it suffices to show this for totally disconnected groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06679","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":""},"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":"2026-05-18T00:20:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NR6lnYA3xAZCAGP5NEAMHQPBhv/nFKkPC2rTl4ofGlkiyI5V5ABlfQ3FK3J1jRJMIkwlnfGAOO8Atl1itlK0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T15:10:23.513484Z"},"content_sha256":"33428658646fcd55d96d3bcce5339c1bbca01702ec1bb99c0004d00be2dbcebb","schema_version":"1.0","event_id":"sha256:33428658646fcd55d96d3bcce5339c1bbca01702ec1bb99c0004d00be2dbcebb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HONWXNKV6GBZHZ4PVI3WBE7XNZ/bundle.json","state_url":"https://pith.science/pith/HONWXNKV6GBZHZ4PVI3WBE7XNZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HONWXNKV6GBZHZ4PVI3WBE7XNZ/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":"2026-06-25T15:10:23Z","links":{"resolver":"https://pith.science/pith/HONWXNKV6GBZHZ4PVI3WBE7XNZ","bundle":"https://pith.science/pith/HONWXNKV6GBZHZ4PVI3WBE7XNZ/bundle.json","state":"https://pith.science/pith/HONWXNKV6GBZHZ4PVI3WBE7XNZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HONWXNKV6GBZHZ4PVI3WBE7XNZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HONWXNKV6GBZHZ4PVI3WBE7XNZ","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":"69037b8376dab15e50a6a96814df541b30ac525cf2d821828cdc26711b70784e","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-03-18T15:43:04Z","title_canon_sha256":"8db80d35cde25f819542a3890ef15a386946d73fb0a1f3fb51c24735e4e4a90b"},"schema_version":"1.0","source":{"id":"1803.06679","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06679","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06679v1","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06679","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"pith_short_12","alias_value":"HONWXNKV6GBZ","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HONWXNKV6GBZHZ4P","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HONWXNKV","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:33428658646fcd55d96d3bcce5339c1bbca01702ec1bb99c0004d00be2dbcebb","target":"graph","created_at":"2026-05-18T00:20:45Z","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 show that in order to prove that every second countable locally compact groups with exact reduced group C*-algebra is exact in the dynamical sense (i.e. KW-exact) it suffices to show this for totally disconnected groups.","authors_text":"Chris Cave, Joachim Zacharias","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-03-18T15:43:04Z","title":"Kirchberg--Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06679","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:b22375e1cf25057da21f49e7413c642ffc81fd9e3109f03032e198ad78fa90b9","target":"record","created_at":"2026-05-18T00:20:45Z","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":"69037b8376dab15e50a6a96814df541b30ac525cf2d821828cdc26711b70784e","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-03-18T15:43:04Z","title_canon_sha256":"8db80d35cde25f819542a3890ef15a386946d73fb0a1f3fb51c24735e4e4a90b"},"schema_version":"1.0","source":{"id":"1803.06679","kind":"arxiv","version":1}},"canonical_sha256":"3b9b6bb555f18393e78faa376093f76e5c2091351babde05eb068da62e2fb690","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b9b6bb555f18393e78faa376093f76e5c2091351babde05eb068da62e2fb690","first_computed_at":"2026-05-18T00:20:45.292032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:45.292032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dqMBISia+/kWJI909csA80SROxM5rT9xRtj+5W+UHLrzVVK4GSj0ooS3sJMUpqpBm2j9NGmKtf1gr5XsPcb5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:45.292649Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.06679","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b22375e1cf25057da21f49e7413c642ffc81fd9e3109f03032e198ad78fa90b9","sha256:33428658646fcd55d96d3bcce5339c1bbca01702ec1bb99c0004d00be2dbcebb"],"state_sha256":"6b50ae76d61063961fe55664547344fc47a0841a4a7480db6b4e0af72c842574"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wbR0Lz+MCs/Y9hD2H7ePuuSroTumGP6cF/Ev5mQZl/sgVMD2fdRA6Al71SU4XEWW3LYmRpeIXbKxxCnC/HIrAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T15:10:23.515380Z","bundle_sha256":"503fef1f917c171a97baf9f775765138590c69fd46e4e42cb7f79295a3819965"}}