{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HIKB4S4BEJBXQMNXA2DLJQDRVF","short_pith_number":"pith:HIKB4S4B","schema_version":"1.0","canonical_sha256":"3a141e4b8122437831b70686b4c071a95e88ccba6412c424ccbe9b933b9406c8","source":{"kind":"arxiv","id":"1302.5922","version":1},"attestation_state":"computed","paper":{"title":"Factors from trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Guyan Robertson, Jacqui Ramagge","submitted_at":"2013-02-24T16:33:25Z","abstract_excerpt":"We construct factors of type $\\tn$ for $n\\in\\NN, n\\geq 2$ from group actions on homogeneous trees and their boundaries. Our result is a discrete analogue of a result of R.J Spatzier, where the hyperfinite factor of type $\\tone$ is constructed from a group action on the boundary of the universal cover of a manifold."},"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":"1302.5922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-02-24T16:33:25Z","cross_cats_sorted":[],"title_canon_sha256":"3cf0907e457df3346f9a7d589c9d80976c99d47a06e94472a310a73a1ba4c67a","abstract_canon_sha256":"bfbdbdb52f651d342d4e6cc3ecb5a700f6f985ff4dc49e12c312ca6e5bd029bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:33.270850Z","signature_b64":"w3L7YK5/zoBgk1tmmZpoRUhX833AwBUXS/fNbiYgl5sCMikWUfgD/tHMKKorsgeC6nEUEaV/1jkcgkKE2JJrAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a141e4b8122437831b70686b4c071a95e88ccba6412c424ccbe9b933b9406c8","last_reissued_at":"2026-05-18T03:32:33.270200Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:33.270200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Factors from trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Guyan Robertson, Jacqui Ramagge","submitted_at":"2013-02-24T16:33:25Z","abstract_excerpt":"We construct factors of type $\\tn$ for $n\\in\\NN, n\\geq 2$ from group actions on homogeneous trees and their boundaries. Our result is a discrete analogue of a result of R.J Spatzier, where the hyperfinite factor of type $\\tone$ is constructed from a group action on the boundary of the universal cover of a manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5922","kind":"arxiv","version":1},"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":"1302.5922","created_at":"2026-05-18T03:32:33.270307+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.5922v1","created_at":"2026-05-18T03:32:33.270307+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5922","created_at":"2026-05-18T03:32:33.270307+00:00"},{"alias_kind":"pith_short_12","alias_value":"HIKB4S4BEJBX","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HIKB4S4BEJBXQMNX","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HIKB4S4B","created_at":"2026-05-18T12:27:46.883200+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/HIKB4S4BEJBXQMNXA2DLJQDRVF","json":"https://pith.science/pith/HIKB4S4BEJBXQMNXA2DLJQDRVF.json","graph_json":"https://pith.science/api/pith-number/HIKB4S4BEJBXQMNXA2DLJQDRVF/graph.json","events_json":"https://pith.science/api/pith-number/HIKB4S4BEJBXQMNXA2DLJQDRVF/events.json","paper":"https://pith.science/paper/HIKB4S4B"},"agent_actions":{"view_html":"https://pith.science/pith/HIKB4S4BEJBXQMNXA2DLJQDRVF","download_json":"https://pith.science/pith/HIKB4S4BEJBXQMNXA2DLJQDRVF.json","view_paper":"https://pith.science/paper/HIKB4S4B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.5922&json=true","fetch_graph":"https://pith.science/api/pith-number/HIKB4S4BEJBXQMNXA2DLJQDRVF/graph.json","fetch_events":"https://pith.science/api/pith-number/HIKB4S4BEJBXQMNXA2DLJQDRVF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HIKB4S4BEJBXQMNXA2DLJQDRVF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HIKB4S4BEJBXQMNXA2DLJQDRVF/action/storage_attestation","attest_author":"https://pith.science/pith/HIKB4S4BEJBXQMNXA2DLJQDRVF/action/author_attestation","sign_citation":"https://pith.science/pith/HIKB4S4BEJBXQMNXA2DLJQDRVF/action/citation_signature","submit_replication":"https://pith.science/pith/HIKB4S4BEJBXQMNXA2DLJQDRVF/action/replication_record"}},"created_at":"2026-05-18T03:32:33.270307+00:00","updated_at":"2026-05-18T03:32:33.270307+00:00"}