{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZJCMN5FLTCTEDOI7I6HRUGHMYR","short_pith_number":"pith:ZJCMN5FL","schema_version":"1.0","canonical_sha256":"ca44c6f4ab98a641b91f478f1a18ecc472a9da46aca8b21bbc2d7ec3e2d86add","source":{"kind":"arxiv","id":"1604.08619","version":4},"attestation_state":"computed","paper":{"title":"Spectral triples for noncommutative solenoidal spaces from self-coverings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Daniele Guido, Tommaso Isola, Valeriano Aiello","submitted_at":"2016-04-28T21:08:51Z","abstract_excerpt":"Examples of noncommutative self-coverings are described, and spectral triples on the base space are extended to spectral triples on the inductive family of coverings, in such a way that the covering projections are locally isometric. Such triples are shown to converge, in a suitable sense, to a semifinite spectral triple on the direct limit of the tower of coverings, which we call noncommutative solenoidal space. Some of the self-coverings described here are given by the inclusion of the fixed point algebra in a C$^*$-algebra acted upon by a finite abelian group. In all the examples treated he"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1604.08619","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-04-28T21:08:51Z","cross_cats_sorted":[],"title_canon_sha256":"b8bf09b36c5cf261ec23dd95bb6b3b2a42f7f1d58dba6e653c7819a0978b4987","abstract_canon_sha256":"65af917de5feb26ba9406edf5325fa24fd9f625374f64afb790ed5578e08249a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:36.719864Z","signature_b64":"YxkcOmwLyjban9oMCq44jiWHeFXTaf9+U4EyFpNYSLXRC3KIog6JxVNreCqLGzH7vX3fpoNQkGRec5bxwHBJBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca44c6f4ab98a641b91f478f1a18ecc472a9da46aca8b21bbc2d7ec3e2d86add","last_reissued_at":"2026-05-18T00:54:36.719383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:36.719383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral triples for noncommutative solenoidal spaces from self-coverings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Daniele Guido, Tommaso Isola, Valeriano Aiello","submitted_at":"2016-04-28T21:08:51Z","abstract_excerpt":"Examples of noncommutative self-coverings are described, and spectral triples on the base space are extended to spectral triples on the inductive family of coverings, in such a way that the covering projections are locally isometric. Such triples are shown to converge, in a suitable sense, to a semifinite spectral triple on the direct limit of the tower of coverings, which we call noncommutative solenoidal space. Some of the self-coverings described here are given by the inclusion of the fixed point algebra in a C$^*$-algebra acted upon by a finite abelian group. In all the examples treated he"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08619","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1604.08619","created_at":"2026-05-18T00:54:36.719453+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.08619v4","created_at":"2026-05-18T00:54:36.719453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.08619","created_at":"2026-05-18T00:54:36.719453+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZJCMN5FLTCTE","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZJCMN5FLTCTEDOI7","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZJCMN5FL","created_at":"2026-05-18T12:30:53.716459+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZJCMN5FLTCTEDOI7I6HRUGHMYR","json":"https://pith.science/pith/ZJCMN5FLTCTEDOI7I6HRUGHMYR.json","graph_json":"https://pith.science/api/pith-number/ZJCMN5FLTCTEDOI7I6HRUGHMYR/graph.json","events_json":"https://pith.science/api/pith-number/ZJCMN5FLTCTEDOI7I6HRUGHMYR/events.json","paper":"https://pith.science/paper/ZJCMN5FL"},"agent_actions":{"view_html":"https://pith.science/pith/ZJCMN5FLTCTEDOI7I6HRUGHMYR","download_json":"https://pith.science/pith/ZJCMN5FLTCTEDOI7I6HRUGHMYR.json","view_paper":"https://pith.science/paper/ZJCMN5FL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.08619&json=true","fetch_graph":"https://pith.science/api/pith-number/ZJCMN5FLTCTEDOI7I6HRUGHMYR/graph.json","fetch_events":"https://pith.science/api/pith-number/ZJCMN5FLTCTEDOI7I6HRUGHMYR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZJCMN5FLTCTEDOI7I6HRUGHMYR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZJCMN5FLTCTEDOI7I6HRUGHMYR/action/storage_attestation","attest_author":"https://pith.science/pith/ZJCMN5FLTCTEDOI7I6HRUGHMYR/action/author_attestation","sign_citation":"https://pith.science/pith/ZJCMN5FLTCTEDOI7I6HRUGHMYR/action/citation_signature","submit_replication":"https://pith.science/pith/ZJCMN5FLTCTEDOI7I6HRUGHMYR/action/replication_record"}},"created_at":"2026-05-18T00:54:36.719453+00:00","updated_at":"2026-05-18T00:54:36.719453+00:00"}