{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:G4FWKXI2LAK2YQCX7BZ7OMBWXR","short_pith_number":"pith:G4FWKXI2","canonical_record":{"source":{"id":"1406.5725","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-06-22T13:44:46Z","cross_cats_sorted":[],"title_canon_sha256":"a8dd103dff1f46b28ac8ec4a2ce76063165a032d0a6c0f29239ab76c8700dfc0","abstract_canon_sha256":"269652de90bd359b6464db36aa567ad7b699a889372a0981bb6265041adcc3fe"},"schema_version":"1.0"},"canonical_sha256":"370b655d1a5815ac4057f873f73036bc65d96a6dfe76127d93fa42dc0218d950","source":{"kind":"arxiv","id":"1406.5725","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5725","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5725v2","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5725","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"G4FWKXI2LAK2","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"G4FWKXI2LAK2YQCX","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"G4FWKXI2","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:G4FWKXI2LAK2YQCX7BZ7OMBWXR","target":"record","payload":{"canonical_record":{"source":{"id":"1406.5725","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-06-22T13:44:46Z","cross_cats_sorted":[],"title_canon_sha256":"a8dd103dff1f46b28ac8ec4a2ce76063165a032d0a6c0f29239ab76c8700dfc0","abstract_canon_sha256":"269652de90bd359b6464db36aa567ad7b699a889372a0981bb6265041adcc3fe"},"schema_version":"1.0"},"canonical_sha256":"370b655d1a5815ac4057f873f73036bc65d96a6dfe76127d93fa42dc0218d950","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:13.793504Z","signature_b64":"Lce0DBZ3B61zErDSYTCCn4sSu6JZ9xprUKu+iTG/Y7x8FEcgIjAb3QjWzIE/oNENIEq6KVsCLCZMOhbNJY5vAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"370b655d1a5815ac4057f873f73036bc65d96a6dfe76127d93fa42dc0218d950","last_reissued_at":"2026-05-18T00:42:13.792841Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:13.792841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.5725","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":"2026-05-18T00:42:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ybH4eVZ7KKnU2W5KKIpO0MElO0Ef7ltCXSNfOUS8cmdfsHSnqE4RhuN9xFMTYEaDbGwJ20a22byRrCsi9L/2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T16:08:44.647095Z"},"content_sha256":"926f0b399615c4a7d5e2a2e9ec0453bf16f89523b8fae80d6868b8f1aafd4695","schema_version":"1.0","event_id":"sha256:926f0b399615c4a7d5e2a2e9ec0453bf16f89523b8fae80d6868b8f1aafd4695"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:G4FWKXI2LAK2YQCX7BZ7OMBWXR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On C*-algebras associated to right LCM semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Nadia S. Larsen, Nathan Brownlowe, Nicolai Stammeier","submitted_at":"2014-06-22T13:44:46Z","abstract_excerpt":"We initiate the study of the internal structure of C*-algebras associated to a left cancellative semigroup in which any two principal right ideals are either disjoint or intersect in another principal right ideal; these are variously called right LCM semigroups or semigroups that satisfy Clifford's condition. Our main findings are results about uniqueness of the full semigroup C*-algebra. We build our analysis upon a rich interaction between the group of units of the semigroup and the family of constructible right ideals. As an application we identify algebraic conditions on S under which C*(S"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5725","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":"2026-05-18T00:42:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FNEkVLgt+iXckM7ik3g4gO2E7//YLxEcujbNFNFDDhiXNqzmklfIa63hEID8c+tIqcZKvoa/UPFmojcNIiaeDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T16:08:44.647469Z"},"content_sha256":"54ab984981af694fe2b1aba922fd4dc263561fb11c6bc3cecce00300fdacde2d","schema_version":"1.0","event_id":"sha256:54ab984981af694fe2b1aba922fd4dc263561fb11c6bc3cecce00300fdacde2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G4FWKXI2LAK2YQCX7BZ7OMBWXR/bundle.json","state_url":"https://pith.science/pith/G4FWKXI2LAK2YQCX7BZ7OMBWXR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G4FWKXI2LAK2YQCX7BZ7OMBWXR/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":"2026-07-01T16:08:44Z","links":{"resolver":"https://pith.science/pith/G4FWKXI2LAK2YQCX7BZ7OMBWXR","bundle":"https://pith.science/pith/G4FWKXI2LAK2YQCX7BZ7OMBWXR/bundle.json","state":"https://pith.science/pith/G4FWKXI2LAK2YQCX7BZ7OMBWXR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G4FWKXI2LAK2YQCX7BZ7OMBWXR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:G4FWKXI2LAK2YQCX7BZ7OMBWXR","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":"269652de90bd359b6464db36aa567ad7b699a889372a0981bb6265041adcc3fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-06-22T13:44:46Z","title_canon_sha256":"a8dd103dff1f46b28ac8ec4a2ce76063165a032d0a6c0f29239ab76c8700dfc0"},"schema_version":"1.0","source":{"id":"1406.5725","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5725","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5725v2","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5725","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"G4FWKXI2LAK2","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"G4FWKXI2LAK2YQCX","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"G4FWKXI2","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:54ab984981af694fe2b1aba922fd4dc263561fb11c6bc3cecce00300fdacde2d","target":"graph","created_at":"2026-05-18T00:42:13Z","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 initiate the study of the internal structure of C*-algebras associated to a left cancellative semigroup in which any two principal right ideals are either disjoint or intersect in another principal right ideal; these are variously called right LCM semigroups or semigroups that satisfy Clifford's condition. Our main findings are results about uniqueness of the full semigroup C*-algebra. We build our analysis upon a rich interaction between the group of units of the semigroup and the family of constructible right ideals. As an application we identify algebraic conditions on S under which C*(S","authors_text":"Nadia S. Larsen, Nathan Brownlowe, Nicolai Stammeier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-06-22T13:44:46Z","title":"On C*-algebras associated to right LCM semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5725","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":"sha256:926f0b399615c4a7d5e2a2e9ec0453bf16f89523b8fae80d6868b8f1aafd4695","target":"record","created_at":"2026-05-18T00:42:13Z","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":"269652de90bd359b6464db36aa567ad7b699a889372a0981bb6265041adcc3fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-06-22T13:44:46Z","title_canon_sha256":"a8dd103dff1f46b28ac8ec4a2ce76063165a032d0a6c0f29239ab76c8700dfc0"},"schema_version":"1.0","source":{"id":"1406.5725","kind":"arxiv","version":2}},"canonical_sha256":"370b655d1a5815ac4057f873f73036bc65d96a6dfe76127d93fa42dc0218d950","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"370b655d1a5815ac4057f873f73036bc65d96a6dfe76127d93fa42dc0218d950","first_computed_at":"2026-05-18T00:42:13.792841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:13.792841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lce0DBZ3B61zErDSYTCCn4sSu6JZ9xprUKu+iTG/Y7x8FEcgIjAb3QjWzIE/oNENIEq6KVsCLCZMOhbNJY5vAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:13.793504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5725","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:926f0b399615c4a7d5e2a2e9ec0453bf16f89523b8fae80d6868b8f1aafd4695","sha256:54ab984981af694fe2b1aba922fd4dc263561fb11c6bc3cecce00300fdacde2d"],"state_sha256":"1f5bc12bda2138813115bdf1cecba0d3e36b661ec2cd4afcb5a832115c6cfc5f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/T0Yqi8doooNGO9CNDbCHFLPnHZ6SNlCzNVA0gZVY08fkXXOH66ruALO7vrG5fFMZ9MI4Ac4CBaVzae4Xk+wDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T16:08:44.649447Z","bundle_sha256":"23480a4354ad6abfa87bfb8c7869e71b0c5841cf3cc6628a66c8676fd94684ca"}}