{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5VPBDF2O5VFF2JCNJLO6IWEQTX","short_pith_number":"pith:5VPBDF2O","canonical_record":{"source":{"id":"1403.1855","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-03-07T19:46:05Z","cross_cats_sorted":[],"title_canon_sha256":"0832316da6144249bbbfe9b80d69fcbf01b4f0b4809a54259c0c7e4385132bce","abstract_canon_sha256":"a944137cc3e16c98270d615daa54462fa3007666b6de992c8091be48f04c912d"},"schema_version":"1.0"},"canonical_sha256":"ed5e11974eed4a5d244d4adde458909df2e49068b8982cc536cf9bd2299d66f3","source":{"kind":"arxiv","id":"1403.1855","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1855","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1855v3","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1855","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"5VPBDF2O5VFF","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"5VPBDF2O5VFF2JCN","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"5VPBDF2O","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5VPBDF2O5VFF2JCNJLO6IWEQTX","target":"record","payload":{"canonical_record":{"source":{"id":"1403.1855","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-03-07T19:46:05Z","cross_cats_sorted":[],"title_canon_sha256":"0832316da6144249bbbfe9b80d69fcbf01b4f0b4809a54259c0c7e4385132bce","abstract_canon_sha256":"a944137cc3e16c98270d615daa54462fa3007666b6de992c8091be48f04c912d"},"schema_version":"1.0"},"canonical_sha256":"ed5e11974eed4a5d244d4adde458909df2e49068b8982cc536cf9bd2299d66f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:30.937435Z","signature_b64":"xY6E19gGaWGDtBNEpvgzdRM/lftNR+CFPbRbPQNxRti2pkUpSRyqtCM8WurrNCq4C67Tedf30gXVvujPzjsuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed5e11974eed4a5d244d4adde458909df2e49068b8982cc536cf9bd2299d66f3","last_reissued_at":"2026-05-18T01:19:30.936737Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:30.936737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.1855","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:19:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cAwIMHqdx6bSchlHn4YkNagHc5l/kqn22s8zJekKAKbLdWWQ4DJrcdm9KFvNqxnwKNLXNJuvdiYNfVa9lHNFBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T12:42:57.088926Z"},"content_sha256":"639663aba26985ec81e9ff3e1967037541e1a3fa1fd93fe883038f3bef3d5ec6","schema_version":"1.0","event_id":"sha256:639663aba26985ec81e9ff3e1967037541e1a3fa1fd93fe883038f3bef3d5ec6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5VPBDF2O5VFF2JCNJLO6IWEQTX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Singular coefficients in the K-theoretic Farrell-Jones conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Emanuel Rodr\\'iguez Cirone, Guillermo Corti\\~nas","submitted_at":"2014-03-07T19:46:05Z","abstract_excerpt":"Let G be a group and k a field of characteristic zero. We prove that if the Farrell-Jones conjecture for the K-theory of R[G] is satisfied for every smooth k-algebra R, then it is also satisfied for every commutative k-algebra R."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1855","kind":"arxiv","version":3},"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":"2026-05-18T01:19:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FLUnV/PqyuIBt8FyscWwlER05zVq28utoKiBUm15DX6l/YcVQO/4s2vBAQ5VqGtkenceFuvz9pO0fxzUFX5pDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T12:42:57.089254Z"},"content_sha256":"e643d71568b19e5b5e74f31af8507a68fcb31253e01f292706b4655096ad6d45","schema_version":"1.0","event_id":"sha256:e643d71568b19e5b5e74f31af8507a68fcb31253e01f292706b4655096ad6d45"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5VPBDF2O5VFF2JCNJLO6IWEQTX/bundle.json","state_url":"https://pith.science/pith/5VPBDF2O5VFF2JCNJLO6IWEQTX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5VPBDF2O5VFF2JCNJLO6IWEQTX/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":"2026-06-28T12:42:57Z","links":{"resolver":"https://pith.science/pith/5VPBDF2O5VFF2JCNJLO6IWEQTX","bundle":"https://pith.science/pith/5VPBDF2O5VFF2JCNJLO6IWEQTX/bundle.json","state":"https://pith.science/pith/5VPBDF2O5VFF2JCNJLO6IWEQTX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5VPBDF2O5VFF2JCNJLO6IWEQTX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5VPBDF2O5VFF2JCNJLO6IWEQTX","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":"a944137cc3e16c98270d615daa54462fa3007666b6de992c8091be48f04c912d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-03-07T19:46:05Z","title_canon_sha256":"0832316da6144249bbbfe9b80d69fcbf01b4f0b4809a54259c0c7e4385132bce"},"schema_version":"1.0","source":{"id":"1403.1855","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1855","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1855v3","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1855","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"5VPBDF2O5VFF","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"5VPBDF2O5VFF2JCN","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"5VPBDF2O","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:e643d71568b19e5b5e74f31af8507a68fcb31253e01f292706b4655096ad6d45","target":"graph","created_at":"2026-05-18T01:19:30Z","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 group and k a field of characteristic zero. We prove that if the Farrell-Jones conjecture for the K-theory of R[G] is satisfied for every smooth k-algebra R, then it is also satisfied for every commutative k-algebra R.","authors_text":"Emanuel Rodr\\'iguez Cirone, Guillermo Corti\\~nas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-03-07T19:46:05Z","title":"Singular coefficients in the K-theoretic Farrell-Jones conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1855","kind":"arxiv","version":3},"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":"sha256:639663aba26985ec81e9ff3e1967037541e1a3fa1fd93fe883038f3bef3d5ec6","target":"record","created_at":"2026-05-18T01:19:30Z","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":"a944137cc3e16c98270d615daa54462fa3007666b6de992c8091be48f04c912d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-03-07T19:46:05Z","title_canon_sha256":"0832316da6144249bbbfe9b80d69fcbf01b4f0b4809a54259c0c7e4385132bce"},"schema_version":"1.0","source":{"id":"1403.1855","kind":"arxiv","version":3}},"canonical_sha256":"ed5e11974eed4a5d244d4adde458909df2e49068b8982cc536cf9bd2299d66f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed5e11974eed4a5d244d4adde458909df2e49068b8982cc536cf9bd2299d66f3","first_computed_at":"2026-05-18T01:19:30.936737Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:30.936737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xY6E19gGaWGDtBNEpvgzdRM/lftNR+CFPbRbPQNxRti2pkUpSRyqtCM8WurrNCq4C67Tedf30gXVvujPzjsuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:30.937435Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1855","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:639663aba26985ec81e9ff3e1967037541e1a3fa1fd93fe883038f3bef3d5ec6","sha256:e643d71568b19e5b5e74f31af8507a68fcb31253e01f292706b4655096ad6d45"],"state_sha256":"8daf5082ed8457c2f15011abda66b8beaa6b66300ac07189f36bdb4796ea7ef8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"77oWQdTbeVq4joQXz4NOzNlyy7DHKaZEkyUFv2Rc8NQSPpNbTjRPdRmpmiyOAWcMAC2iK2rlo35fiw2s2yLXDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T12:42:57.091038Z","bundle_sha256":"3cdd604f5d7c2d5a8af40afb8abf4da3b8fadc98ebbff29068c50e476fa66a51"}}