{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:S67L4PGJF7NWVWMCMFWM22AORU","short_pith_number":"pith:S67L4PGJ","schema_version":"1.0","canonical_sha256":"97bebe3cc92fdb6ad982616ccd680e8d2d2b4fc743fc502322d75ed4deb3ffe7","source":{"kind":"arxiv","id":"1108.3522","version":1},"attestation_state":"computed","paper":{"title":"On Mixing of Staircase Transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"V.V. Ryzhikov","submitted_at":"2011-08-17T16:57:45Z","abstract_excerpt":"We prove the mixing for all staircase transformations satisfied the conditions $r_j/h_j\\to 0$ + $r_j\\to\\infty$."},"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":"1108.3522","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-08-17T16:57:45Z","cross_cats_sorted":[],"title_canon_sha256":"05401847b04522e4cf4e5621c3f38b19a0f52ae36c658fd0d7dff75fe738366c","abstract_canon_sha256":"b80a9cd2ed010e3a0b592fecd48ebffe6a55dadf43dece2fb41ee21346e5a0ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:17.488165Z","signature_b64":"ni4FGGMEnVN8QLe9P34STe2KQ5l5yFsoqWLTuhdGA0ssgs/x/YozE303wdfL3jdPo2ckQo/yQw6N0G818VViDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97bebe3cc92fdb6ad982616ccd680e8d2d2b4fc743fc502322d75ed4deb3ffe7","last_reissued_at":"2026-05-18T04:15:17.487293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:17.487293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Mixing of Staircase Transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"V.V. Ryzhikov","submitted_at":"2011-08-17T16:57:45Z","abstract_excerpt":"We prove the mixing for all staircase transformations satisfied the conditions $r_j/h_j\\to 0$ + $r_j\\to\\infty$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3522","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":"1108.3522","created_at":"2026-05-18T04:15:17.487461+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.3522v1","created_at":"2026-05-18T04:15:17.487461+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3522","created_at":"2026-05-18T04:15:17.487461+00:00"},{"alias_kind":"pith_short_12","alias_value":"S67L4PGJF7NW","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"S67L4PGJF7NWVWMC","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"S67L4PGJ","created_at":"2026-05-18T12:26:41.206345+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/S67L4PGJF7NWVWMCMFWM22AORU","json":"https://pith.science/pith/S67L4PGJF7NWVWMCMFWM22AORU.json","graph_json":"https://pith.science/api/pith-number/S67L4PGJF7NWVWMCMFWM22AORU/graph.json","events_json":"https://pith.science/api/pith-number/S67L4PGJF7NWVWMCMFWM22AORU/events.json","paper":"https://pith.science/paper/S67L4PGJ"},"agent_actions":{"view_html":"https://pith.science/pith/S67L4PGJF7NWVWMCMFWM22AORU","download_json":"https://pith.science/pith/S67L4PGJF7NWVWMCMFWM22AORU.json","view_paper":"https://pith.science/paper/S67L4PGJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.3522&json=true","fetch_graph":"https://pith.science/api/pith-number/S67L4PGJF7NWVWMCMFWM22AORU/graph.json","fetch_events":"https://pith.science/api/pith-number/S67L4PGJF7NWVWMCMFWM22AORU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S67L4PGJF7NWVWMCMFWM22AORU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S67L4PGJF7NWVWMCMFWM22AORU/action/storage_attestation","attest_author":"https://pith.science/pith/S67L4PGJF7NWVWMCMFWM22AORU/action/author_attestation","sign_citation":"https://pith.science/pith/S67L4PGJF7NWVWMCMFWM22AORU/action/citation_signature","submit_replication":"https://pith.science/pith/S67L4PGJF7NWVWMCMFWM22AORU/action/replication_record"}},"created_at":"2026-05-18T04:15:17.487461+00:00","updated_at":"2026-05-18T04:15:17.487461+00:00"}