{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:24JIFLKZBWKQ3K6QF3CNOABPWG","short_pith_number":"pith:24JIFLKZ","schema_version":"1.0","canonical_sha256":"d71282ad590d950dabd02ec4d7002fb1ba5997177529a1f5707f4e03f0b2b042","source":{"kind":"arxiv","id":"1604.07223","version":2},"attestation_state":"computed","paper":{"title":"Linear recursive odometers and beta-expansions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Maria Rita Iac\\`o, Robert F. Tichy, Wolfgang Steiner","submitted_at":"2016-04-25T12:11:10Z","abstract_excerpt":"The aim of this paper is to study the connection between different properties related to $\\beta$-expansions. In particular, the relation between two conditions, both ensuring pure discrete spectrum of the odometer, is analysed. The first one is the so-called Hypothesis B for the $G$-odometers and the second one is denoted by (QM) and it has been introduced in the framework of tilings associated to Pisot $\\beta$-numerations."},"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":"1604.07223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-04-25T12:11:10Z","cross_cats_sorted":[],"title_canon_sha256":"0dc4476857a409f9c5b8165a447cce8d90482eb90f0477e505c6ff1fceb60615","abstract_canon_sha256":"f5194e3d76332c225f7114bf6692bfc61f4af226ad0b5da4514de1a5fa523583"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:12.584742Z","signature_b64":"0zcPbdTQTo4SAJv7tDW/ZnsGW3UFjKZ+SOYidStEM7XHGF2xXhfWkLKH4rdf9wSkqI9qyea5NQoaPhILWZXtAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d71282ad590d950dabd02ec4d7002fb1ba5997177529a1f5707f4e03f0b2b042","last_reissued_at":"2026-05-18T01:16:12.584166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:12.584166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear recursive odometers and beta-expansions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Maria Rita Iac\\`o, Robert F. Tichy, Wolfgang Steiner","submitted_at":"2016-04-25T12:11:10Z","abstract_excerpt":"The aim of this paper is to study the connection between different properties related to $\\beta$-expansions. In particular, the relation between two conditions, both ensuring pure discrete spectrum of the odometer, is analysed. The first one is the so-called Hypothesis B for the $G$-odometers and the second one is denoted by (QM) and it has been introduced in the framework of tilings associated to Pisot $\\beta$-numerations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07223","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1604.07223","created_at":"2026-05-18T01:16:12.584256+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.07223v2","created_at":"2026-05-18T01:16:12.584256+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07223","created_at":"2026-05-18T01:16:12.584256+00:00"},{"alias_kind":"pith_short_12","alias_value":"24JIFLKZBWKQ","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"24JIFLKZBWKQ3K6Q","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"24JIFLKZ","created_at":"2026-05-18T12:29:52.810259+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/24JIFLKZBWKQ3K6QF3CNOABPWG","json":"https://pith.science/pith/24JIFLKZBWKQ3K6QF3CNOABPWG.json","graph_json":"https://pith.science/api/pith-number/24JIFLKZBWKQ3K6QF3CNOABPWG/graph.json","events_json":"https://pith.science/api/pith-number/24JIFLKZBWKQ3K6QF3CNOABPWG/events.json","paper":"https://pith.science/paper/24JIFLKZ"},"agent_actions":{"view_html":"https://pith.science/pith/24JIFLKZBWKQ3K6QF3CNOABPWG","download_json":"https://pith.science/pith/24JIFLKZBWKQ3K6QF3CNOABPWG.json","view_paper":"https://pith.science/paper/24JIFLKZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.07223&json=true","fetch_graph":"https://pith.science/api/pith-number/24JIFLKZBWKQ3K6QF3CNOABPWG/graph.json","fetch_events":"https://pith.science/api/pith-number/24JIFLKZBWKQ3K6QF3CNOABPWG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/24JIFLKZBWKQ3K6QF3CNOABPWG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/24JIFLKZBWKQ3K6QF3CNOABPWG/action/storage_attestation","attest_author":"https://pith.science/pith/24JIFLKZBWKQ3K6QF3CNOABPWG/action/author_attestation","sign_citation":"https://pith.science/pith/24JIFLKZBWKQ3K6QF3CNOABPWG/action/citation_signature","submit_replication":"https://pith.science/pith/24JIFLKZBWKQ3K6QF3CNOABPWG/action/replication_record"}},"created_at":"2026-05-18T01:16:12.584256+00:00","updated_at":"2026-05-18T01:16:12.584256+00:00"}