{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:QNAPOA5CXEJS57L72DS65BZ3VE","short_pith_number":"pith:QNAPOA5C","schema_version":"1.0","canonical_sha256":"8340f703a2b9132efd7fd0e5ee873ba92cc34bee12526a665ce2ec9d6cf42edc","source":{"kind":"arxiv","id":"2412.11221","version":2},"attestation_state":"computed","paper":{"title":"Shadowing property for set-valued map and its inverse limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Zhengyu Yin","submitted_at":"2024-12-15T15:26:47Z","abstract_excerpt":"In this article, we investigate the relationship between the shadowing property of set-valued maps and their associated inverse limit systems. We show that if a set-valued map is expansive and open in the context of set-valued dynamics, then certain induced inverse limit systems have the shadowing property. Additionally, we prove that a continuous set-valued map has the shadowing property if and only if some of its induced inverse limit system also has shadowing property. Finally, we establish that the shadowing property of a set-valued map is equivalent to the shadowing property of its induce"},"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":"2412.11221","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2024-12-15T15:26:47Z","cross_cats_sorted":[],"title_canon_sha256":"6a16c50e8bd3a7c826392d5500caafddabf9d32ad9542340cdfc92393724c9dc","abstract_canon_sha256":"167d2b32cb7d4ff2c1547920667fd9a61ff5e54a19c230584374260c96d40ec8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:05:15.226096Z","signature_b64":"EamtEK0+zKIDR8rDwaHUJEcojXC/EPOn3HmPlPTCBUdHnX5GEIHl3LVUO1+7xI5IFPvqe6YUCN9so8dVKn1ZDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8340f703a2b9132efd7fd0e5ee873ba92cc34bee12526a665ce2ec9d6cf42edc","last_reissued_at":"2026-07-05T10:05:15.225445Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:05:15.225445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Shadowing property for set-valued map and its inverse limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Zhengyu Yin","submitted_at":"2024-12-15T15:26:47Z","abstract_excerpt":"In this article, we investigate the relationship between the shadowing property of set-valued maps and their associated inverse limit systems. We show that if a set-valued map is expansive and open in the context of set-valued dynamics, then certain induced inverse limit systems have the shadowing property. Additionally, we prove that a continuous set-valued map has the shadowing property if and only if some of its induced inverse limit system also has shadowing property. Finally, we establish that the shadowing property of a set-valued map is equivalent to the shadowing property of its induce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11221","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.11221/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2412.11221","created_at":"2026-07-05T10:05:15.225506+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.11221v2","created_at":"2026-07-05T10:05:15.225506+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11221","created_at":"2026-07-05T10:05:15.225506+00:00"},{"alias_kind":"pith_short_12","alias_value":"QNAPOA5CXEJS","created_at":"2026-07-05T10:05:15.225506+00:00"},{"alias_kind":"pith_short_16","alias_value":"QNAPOA5CXEJS57L7","created_at":"2026-07-05T10:05:15.225506+00:00"},{"alias_kind":"pith_short_8","alias_value":"QNAPOA5C","created_at":"2026-07-05T10:05:15.225506+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.23089","citing_title":"Shadowing in CR-Dynamical Systems","ref_index":33,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QNAPOA5CXEJS57L72DS65BZ3VE","json":"https://pith.science/pith/QNAPOA5CXEJS57L72DS65BZ3VE.json","graph_json":"https://pith.science/api/pith-number/QNAPOA5CXEJS57L72DS65BZ3VE/graph.json","events_json":"https://pith.science/api/pith-number/QNAPOA5CXEJS57L72DS65BZ3VE/events.json","paper":"https://pith.science/paper/QNAPOA5C"},"agent_actions":{"view_html":"https://pith.science/pith/QNAPOA5CXEJS57L72DS65BZ3VE","download_json":"https://pith.science/pith/QNAPOA5CXEJS57L72DS65BZ3VE.json","view_paper":"https://pith.science/paper/QNAPOA5C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.11221&json=true","fetch_graph":"https://pith.science/api/pith-number/QNAPOA5CXEJS57L72DS65BZ3VE/graph.json","fetch_events":"https://pith.science/api/pith-number/QNAPOA5CXEJS57L72DS65BZ3VE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QNAPOA5CXEJS57L72DS65BZ3VE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QNAPOA5CXEJS57L72DS65BZ3VE/action/storage_attestation","attest_author":"https://pith.science/pith/QNAPOA5CXEJS57L72DS65BZ3VE/action/author_attestation","sign_citation":"https://pith.science/pith/QNAPOA5CXEJS57L72DS65BZ3VE/action/citation_signature","submit_replication":"https://pith.science/pith/QNAPOA5CXEJS57L72DS65BZ3VE/action/replication_record"}},"created_at":"2026-07-05T10:05:15.225506+00:00","updated_at":"2026-07-05T10:05:15.225506+00:00"}