{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VOPEYQMMD2OAW73BRD2ZPC4NQX","short_pith_number":"pith:VOPEYQMM","canonical_record":{"source":{"id":"1803.08975","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-03-23T20:49:31Z","cross_cats_sorted":["math.DS","math.KT"],"title_canon_sha256":"3ca94fb4a606b2023a45daaa7ce64d03075578ad249e1a3da555fd793be055a1","abstract_canon_sha256":"e5200d16665d34a065198623358b8f56d644b1d6f5079df81fe3a9ba7ba3c436"},"schema_version":"1.0"},"canonical_sha256":"ab9e4c418c1e9c0b7f6188f5978b8d85e243ee7d948ae3af070b100523137217","source":{"kind":"arxiv","id":"1803.08975","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08975","created_at":"2026-05-17T23:55:21Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08975v2","created_at":"2026-05-17T23:55:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08975","created_at":"2026-05-17T23:55:21Z"},{"alias_kind":"pith_short_12","alias_value":"VOPEYQMMD2OA","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VOPEYQMMD2OAW73B","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VOPEYQMM","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VOPEYQMMD2OAW73BRD2ZPC4NQX","target":"record","payload":{"canonical_record":{"source":{"id":"1803.08975","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-03-23T20:49:31Z","cross_cats_sorted":["math.DS","math.KT"],"title_canon_sha256":"3ca94fb4a606b2023a45daaa7ce64d03075578ad249e1a3da555fd793be055a1","abstract_canon_sha256":"e5200d16665d34a065198623358b8f56d644b1d6f5079df81fe3a9ba7ba3c436"},"schema_version":"1.0"},"canonical_sha256":"ab9e4c418c1e9c0b7f6188f5978b8d85e243ee7d948ae3af070b100523137217","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:21.104654Z","signature_b64":"/4ltSaIsa7W6+lt0hprBpi8aupJkvbvrmB/bf1majm3ridZQz41yOReKYwugQy+Dn9xkBB5LlK28xBviTDToAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab9e4c418c1e9c0b7f6188f5978b8d85e243ee7d948ae3af070b100523137217","last_reissued_at":"2026-05-17T23:55:21.104071Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:21.104071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.08975","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":"2026-05-17T23:55:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IfcIiilyuEUz0yT34Z1iz+i4spmPyfdmnzNulFPidxLrGZI1FKlL2Gz2fr9n5ig/3bPIu4yaLPpWnQl/iwN5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:28:36.588768Z"},"content_sha256":"cae77e7e2499a29e547c5f5a6ab00a05c72eb1506666f709638a7a6730d3cf08","schema_version":"1.0","event_id":"sha256:cae77e7e2499a29e547c5f5a6ab00a05c72eb1506666f709638a7a6730d3cf08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VOPEYQMMD2OAW73BRD2ZPC4NQX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The stable algebra of a Wieler solenoid: inductive limits and K-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.KT"],"primary_cat":"math.OA","authors_text":"Allan Yashinski, Robin J. Deeley","submitted_at":"2018-03-23T20:49:31Z","abstract_excerpt":"Wieler has shown that every irreducible Smale space with totally disconnected stable sets is a solenoid (i.e., obtained via a stationary inverse limit construction). Using her construction, we show that the associated stable C*-algebra is the stationary inductive limit of a C*-stable Fell algebra that has compact spectrum and trivial Dixmier-Douady invariant. This result applies in particular to Williams solenoids along with other examples. Beyond the structural implications of this inductive limit, one can use this result to in principle compute the K-theory of the stable C*-algebra. A specif"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08975","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":"2026-05-17T23:55:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"68QEatLRD8gktYlPXtcl6sZB6ZN0hQVue6A0k/yM7NABtmAkeBoDE8CuSacG4B8YSNom8IpcSJ/wccJ3EAqlDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:28:36.589349Z"},"content_sha256":"51d8dc700f017967cbf8c94dc59eb294e260b8684f34049334bd3e77cd9b2dda","schema_version":"1.0","event_id":"sha256:51d8dc700f017967cbf8c94dc59eb294e260b8684f34049334bd3e77cd9b2dda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VOPEYQMMD2OAW73BRD2ZPC4NQX/bundle.json","state_url":"https://pith.science/pith/VOPEYQMMD2OAW73BRD2ZPC4NQX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VOPEYQMMD2OAW73BRD2ZPC4NQX/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":"2026-06-22T15:28:36Z","links":{"resolver":"https://pith.science/pith/VOPEYQMMD2OAW73BRD2ZPC4NQX","bundle":"https://pith.science/pith/VOPEYQMMD2OAW73BRD2ZPC4NQX/bundle.json","state":"https://pith.science/pith/VOPEYQMMD2OAW73BRD2ZPC4NQX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VOPEYQMMD2OAW73BRD2ZPC4NQX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VOPEYQMMD2OAW73BRD2ZPC4NQX","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":"e5200d16665d34a065198623358b8f56d644b1d6f5079df81fe3a9ba7ba3c436","cross_cats_sorted":["math.DS","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-03-23T20:49:31Z","title_canon_sha256":"3ca94fb4a606b2023a45daaa7ce64d03075578ad249e1a3da555fd793be055a1"},"schema_version":"1.0","source":{"id":"1803.08975","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08975","created_at":"2026-05-17T23:55:21Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08975v2","created_at":"2026-05-17T23:55:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08975","created_at":"2026-05-17T23:55:21Z"},{"alias_kind":"pith_short_12","alias_value":"VOPEYQMMD2OA","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VOPEYQMMD2OAW73B","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VOPEYQMM","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:51d8dc700f017967cbf8c94dc59eb294e260b8684f34049334bd3e77cd9b2dda","target":"graph","created_at":"2026-05-17T23:55:21Z","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":"Wieler has shown that every irreducible Smale space with totally disconnected stable sets is a solenoid (i.e., obtained via a stationary inverse limit construction). Using her construction, we show that the associated stable C*-algebra is the stationary inductive limit of a C*-stable Fell algebra that has compact spectrum and trivial Dixmier-Douady invariant. This result applies in particular to Williams solenoids along with other examples. Beyond the structural implications of this inductive limit, one can use this result to in principle compute the K-theory of the stable C*-algebra. A specif","authors_text":"Allan Yashinski, Robin J. Deeley","cross_cats":["math.DS","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-03-23T20:49:31Z","title":"The stable algebra of a Wieler solenoid: inductive limits and K-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08975","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:cae77e7e2499a29e547c5f5a6ab00a05c72eb1506666f709638a7a6730d3cf08","target":"record","created_at":"2026-05-17T23:55:21Z","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":"e5200d16665d34a065198623358b8f56d644b1d6f5079df81fe3a9ba7ba3c436","cross_cats_sorted":["math.DS","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-03-23T20:49:31Z","title_canon_sha256":"3ca94fb4a606b2023a45daaa7ce64d03075578ad249e1a3da555fd793be055a1"},"schema_version":"1.0","source":{"id":"1803.08975","kind":"arxiv","version":2}},"canonical_sha256":"ab9e4c418c1e9c0b7f6188f5978b8d85e243ee7d948ae3af070b100523137217","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab9e4c418c1e9c0b7f6188f5978b8d85e243ee7d948ae3af070b100523137217","first_computed_at":"2026-05-17T23:55:21.104071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:21.104071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/4ltSaIsa7W6+lt0hprBpi8aupJkvbvrmB/bf1majm3ridZQz41yOReKYwugQy+Dn9xkBB5LlK28xBviTDToAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:21.104654Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08975","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cae77e7e2499a29e547c5f5a6ab00a05c72eb1506666f709638a7a6730d3cf08","sha256:51d8dc700f017967cbf8c94dc59eb294e260b8684f34049334bd3e77cd9b2dda"],"state_sha256":"6a86baa837e053bc0c3de89c46bbd3034f90aa98f9deeb6c535057ac1e9d344d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rR5oJfpH2/NbnlMMgi/lTreJrx5vAQxpdLvNW55qDqK0RgpxLI4CHFsQ3FnHBUEWAql0/6W0MPlV0/xeE3bVDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:28:36.591992Z","bundle_sha256":"c8117d8f683561ddc9f0cc18368e40c410a2aa5d8d4b27fc4b5f4fbfda2f1d69"}}