{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:JEDBZRX7RT7RTD2NZX3E4VO5V3","short_pith_number":"pith:JEDBZRX7","schema_version":"1.0","canonical_sha256":"49061cc6ff8cff198f4dcdf64e55ddaed0ef33e91238a52eb143f93e79202eba","source":{"kind":"arxiv","id":"1107.0185","version":3},"attestation_state":"computed","paper":{"title":"Periodicity of Rauzy scheme and substitutional systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.DS","authors_text":"Alexei Kanel-Belov, Ivan Mitrofanov","submitted_at":"2011-07-01T10:30:00Z","abstract_excerpt":"In the paper the notion of {\\em Rauzy scheme} is introduced. From Rauzy graph Rauzy Scheme can be obtaining by uniting sequence of vertices of ingoing and outgoing degree 1 by arches. This notion is a tool to describe Rauzy graph behavior. For morphic superword we prove periodicity of Rauzy schemes. This is generalization of fact that quadratic irrationals have periodic chain fractions."},"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":"1107.0185","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-07-01T10:30:00Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"17f774613817c279a6040a72ef9ddaa07f518f25d9c67e5c81c14e3965ecb60d","abstract_canon_sha256":"cbd03b2e4a86a40fdbc7308ffde2fd8038c53010256a5c3f1faa874c15caeb90"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:59.176225Z","signature_b64":"hdFBf8DaOm60hvx2gFMPjtts/XToqOgwuCjhIYIK+eU3SlLBctrWOsCn0CdyMq3Va2hNq3vZe471iRKE7TKYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49061cc6ff8cff198f4dcdf64e55ddaed0ef33e91238a52eb143f93e79202eba","last_reissued_at":"2026-05-18T03:50:59.175537Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:59.175537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodicity of Rauzy scheme and substitutional systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.DS","authors_text":"Alexei Kanel-Belov, Ivan Mitrofanov","submitted_at":"2011-07-01T10:30:00Z","abstract_excerpt":"In the paper the notion of {\\em Rauzy scheme} is introduced. From Rauzy graph Rauzy Scheme can be obtaining by uniting sequence of vertices of ingoing and outgoing degree 1 by arches. This notion is a tool to describe Rauzy graph behavior. For morphic superword we prove periodicity of Rauzy schemes. This is generalization of fact that quadratic irrationals have periodic chain fractions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0185","kind":"arxiv","version":3},"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":"1107.0185","created_at":"2026-05-18T03:50:59.175663+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.0185v3","created_at":"2026-05-18T03:50:59.175663+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0185","created_at":"2026-05-18T03:50:59.175663+00:00"},{"alias_kind":"pith_short_12","alias_value":"JEDBZRX7RT7R","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"JEDBZRX7RT7RTD2N","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"JEDBZRX7","created_at":"2026-05-18T12:26:32.869790+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/JEDBZRX7RT7RTD2NZX3E4VO5V3","json":"https://pith.science/pith/JEDBZRX7RT7RTD2NZX3E4VO5V3.json","graph_json":"https://pith.science/api/pith-number/JEDBZRX7RT7RTD2NZX3E4VO5V3/graph.json","events_json":"https://pith.science/api/pith-number/JEDBZRX7RT7RTD2NZX3E4VO5V3/events.json","paper":"https://pith.science/paper/JEDBZRX7"},"agent_actions":{"view_html":"https://pith.science/pith/JEDBZRX7RT7RTD2NZX3E4VO5V3","download_json":"https://pith.science/pith/JEDBZRX7RT7RTD2NZX3E4VO5V3.json","view_paper":"https://pith.science/paper/JEDBZRX7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.0185&json=true","fetch_graph":"https://pith.science/api/pith-number/JEDBZRX7RT7RTD2NZX3E4VO5V3/graph.json","fetch_events":"https://pith.science/api/pith-number/JEDBZRX7RT7RTD2NZX3E4VO5V3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JEDBZRX7RT7RTD2NZX3E4VO5V3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JEDBZRX7RT7RTD2NZX3E4VO5V3/action/storage_attestation","attest_author":"https://pith.science/pith/JEDBZRX7RT7RTD2NZX3E4VO5V3/action/author_attestation","sign_citation":"https://pith.science/pith/JEDBZRX7RT7RTD2NZX3E4VO5V3/action/citation_signature","submit_replication":"https://pith.science/pith/JEDBZRX7RT7RTD2NZX3E4VO5V3/action/replication_record"}},"created_at":"2026-05-18T03:50:59.175663+00:00","updated_at":"2026-05-18T03:50:59.175663+00:00"}