{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KJNIG24M377UDIYX2EQV2REGOX","short_pith_number":"pith:KJNIG24M","canonical_record":{"source":{"id":"1409.3452","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-09-11T14:23:29Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"4e7e6e3470f5437177c389e0e7e8add3e601190d6eff4df60381e210c97eb56c","abstract_canon_sha256":"5b3e28c76364379fff792c89b2bd78cba34ffc76b50e9efb28e3a88304b7c1f8"},"schema_version":"1.0"},"canonical_sha256":"525a836b8cdfff41a317d1215d448675d2fe1ca88d85246f62a97b220efd5cac","source":{"kind":"arxiv","id":"1409.3452","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3452","created_at":"2026-05-18T01:22:52Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3452v2","created_at":"2026-05-18T01:22:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3452","created_at":"2026-05-18T01:22:52Z"},{"alias_kind":"pith_short_12","alias_value":"KJNIG24M377U","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KJNIG24M377UDIYX","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KJNIG24M","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KJNIG24M377UDIYX2EQV2REGOX","target":"record","payload":{"canonical_record":{"source":{"id":"1409.3452","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-09-11T14:23:29Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"4e7e6e3470f5437177c389e0e7e8add3e601190d6eff4df60381e210c97eb56c","abstract_canon_sha256":"5b3e28c76364379fff792c89b2bd78cba34ffc76b50e9efb28e3a88304b7c1f8"},"schema_version":"1.0"},"canonical_sha256":"525a836b8cdfff41a317d1215d448675d2fe1ca88d85246f62a97b220efd5cac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:52.423768Z","signature_b64":"qpd0S8NJuRHo0c6+8QZv1uNShjcF5OCatcLaT4m0GvM20AeK6rM2sgKJy6MqOkn4vELElauKMpoRZLopuw4dBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"525a836b8cdfff41a317d1215d448675d2fe1ca88d85246f62a97b220efd5cac","last_reissued_at":"2026-05-18T01:22:52.423091Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:52.423091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.3452","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":"2026-05-18T01:22:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yEqWYNAzhDuoPtQssN0U2ngNSwLoDv7pHalMIY7Jrx0NKqIQdW2tmNBUkY+1G5MTeylgy2v5ROEQK1EpMEpQAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:42:09.433974Z"},"content_sha256":"7260aea435942441febcc0c001065712253c9339134c6426efa16574a660060b","schema_version":"1.0","event_id":"sha256:7260aea435942441febcc0c001065712253c9339134c6426efa16574a660060b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KJNIG24M377UDIYX2EQV2REGOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the K-theory of subgroups of virtually connected Lie groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AT","authors_text":"Daniel Kasprowski","submitted_at":"2014-09-11T14:23:29Z","abstract_excerpt":"We prove that for every finitely generated subgroup of a virtually connected Lie group which admits a finite dimensional model for the classifying space for proper actions the assembly map in algebraic K-theory is split injective. We also prove a similar statement for algebraic L-theory, which in particular implies the integral Novikov conjecture for such groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3452","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":"2026-05-18T01:22:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OxQVd6ImfunMYDfYZvq1RhgwS4yIKthnqVbenNj85cqA4vYYCzVRRBzjyw48pX/y8lvP4DJjRtTT6Oazt9QxAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:42:09.434328Z"},"content_sha256":"594924c84fdac82112a874eacfab599327fa09784b2e7452d89f3bb14e3e5b68","schema_version":"1.0","event_id":"sha256:594924c84fdac82112a874eacfab599327fa09784b2e7452d89f3bb14e3e5b68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KJNIG24M377UDIYX2EQV2REGOX/bundle.json","state_url":"https://pith.science/pith/KJNIG24M377UDIYX2EQV2REGOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KJNIG24M377UDIYX2EQV2REGOX/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":"2026-06-02T04:42:09Z","links":{"resolver":"https://pith.science/pith/KJNIG24M377UDIYX2EQV2REGOX","bundle":"https://pith.science/pith/KJNIG24M377UDIYX2EQV2REGOX/bundle.json","state":"https://pith.science/pith/KJNIG24M377UDIYX2EQV2REGOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KJNIG24M377UDIYX2EQV2REGOX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KJNIG24M377UDIYX2EQV2REGOX","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":"5b3e28c76364379fff792c89b2bd78cba34ffc76b50e9efb28e3a88304b7c1f8","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-09-11T14:23:29Z","title_canon_sha256":"4e7e6e3470f5437177c389e0e7e8add3e601190d6eff4df60381e210c97eb56c"},"schema_version":"1.0","source":{"id":"1409.3452","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3452","created_at":"2026-05-18T01:22:52Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3452v2","created_at":"2026-05-18T01:22:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3452","created_at":"2026-05-18T01:22:52Z"},{"alias_kind":"pith_short_12","alias_value":"KJNIG24M377U","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KJNIG24M377UDIYX","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KJNIG24M","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:594924c84fdac82112a874eacfab599327fa09784b2e7452d89f3bb14e3e5b68","target":"graph","created_at":"2026-05-18T01:22:52Z","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 prove that for every finitely generated subgroup of a virtually connected Lie group which admits a finite dimensional model for the classifying space for proper actions the assembly map in algebraic K-theory is split injective. We also prove a similar statement for algebraic L-theory, which in particular implies the integral Novikov conjecture for such groups.","authors_text":"Daniel Kasprowski","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-09-11T14:23:29Z","title":"On the K-theory of subgroups of virtually connected Lie groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3452","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":"sha256:7260aea435942441febcc0c001065712253c9339134c6426efa16574a660060b","target":"record","created_at":"2026-05-18T01:22:52Z","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":"5b3e28c76364379fff792c89b2bd78cba34ffc76b50e9efb28e3a88304b7c1f8","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-09-11T14:23:29Z","title_canon_sha256":"4e7e6e3470f5437177c389e0e7e8add3e601190d6eff4df60381e210c97eb56c"},"schema_version":"1.0","source":{"id":"1409.3452","kind":"arxiv","version":2}},"canonical_sha256":"525a836b8cdfff41a317d1215d448675d2fe1ca88d85246f62a97b220efd5cac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"525a836b8cdfff41a317d1215d448675d2fe1ca88d85246f62a97b220efd5cac","first_computed_at":"2026-05-18T01:22:52.423091Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:52.423091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qpd0S8NJuRHo0c6+8QZv1uNShjcF5OCatcLaT4m0GvM20AeK6rM2sgKJy6MqOkn4vELElauKMpoRZLopuw4dBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:52.423768Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3452","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7260aea435942441febcc0c001065712253c9339134c6426efa16574a660060b","sha256:594924c84fdac82112a874eacfab599327fa09784b2e7452d89f3bb14e3e5b68"],"state_sha256":"a295c0730568f9a28e1a4bfdc8ed046d9ad28cea8a038f72c8d91b030cae150d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N/ZwRRlIMtg9vD+HJ3H1rDE9LXxeXqyYCamPqW2wL8ccArADRisdo6uJ7GC9wW1Z7qmHOy6FnGOPZ6QIK3GmDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:42:09.436227Z","bundle_sha256":"9e6d11d3b26fe3c7961df508f491a32e8eafe0062eac0004ebc04ce7eaa6cb2b"}}