{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:FWR4HYQWLJ3XQXDKPTED2XOJQP","short_pith_number":"pith:FWR4HYQW","schema_version":"1.0","canonical_sha256":"2da3c3e2165a77785c6a7cc83d5dc983c1992b930f0c03d3f754bd7ca5f73a6c","source":{"kind":"arxiv","id":"1503.07355","version":2},"attestation_state":"computed","paper":{"title":"A panorama of specification-like properties and their consequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Dominik Kwietniak, Martha {\\L}\\k{a}cka, Piotr Oprocha","submitted_at":"2015-03-25T12:21:43Z","abstract_excerpt":"We offer an overview of the specification property, its relatives and their consequences. We examine relations between specification-like properties and such notions as: mixing, entropy, the structure of the simplex of invariant measures, and various types of the shadowing property. We pay special attention to these connections in the context of symbolic dynamics."},"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":"1503.07355","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-03-25T12:21:43Z","cross_cats_sorted":[],"title_canon_sha256":"ad64fcec299e9126ae79f237bff52722fb9fe3cf4a2c9561095918d40f78667d","abstract_canon_sha256":"c9ffc7f1a72c8f2a94855df68a0f93093ca8d9c018885e63e71762c14efa7fc3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:33.474907Z","signature_b64":"6qCalMFbMy9a0+5Ri/TsOHFwTplC/5Nb3rr7gTbjF3Jup0Wyrc9CDJ3hlWBXlianeDPrXWojvngrRZfz1qQ1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2da3c3e2165a77785c6a7cc83d5dc983c1992b930f0c03d3f754bd7ca5f73a6c","last_reissued_at":"2026-05-18T02:03:33.474238Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:33.474238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A panorama of specification-like properties and their consequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Dominik Kwietniak, Martha {\\L}\\k{a}cka, Piotr Oprocha","submitted_at":"2015-03-25T12:21:43Z","abstract_excerpt":"We offer an overview of the specification property, its relatives and their consequences. We examine relations between specification-like properties and such notions as: mixing, entropy, the structure of the simplex of invariant measures, and various types of the shadowing property. We pay special attention to these connections in the context of symbolic dynamics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07355","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":"1503.07355","created_at":"2026-05-18T02:03:33.474349+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.07355v2","created_at":"2026-05-18T02:03:33.474349+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07355","created_at":"2026-05-18T02:03:33.474349+00:00"},{"alias_kind":"pith_short_12","alias_value":"FWR4HYQWLJ3X","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"FWR4HYQWLJ3XQXDK","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"FWR4HYQW","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.22019","citing_title":"The Specification Property on the Lelek Fan","ref_index":13,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FWR4HYQWLJ3XQXDKPTED2XOJQP","json":"https://pith.science/pith/FWR4HYQWLJ3XQXDKPTED2XOJQP.json","graph_json":"https://pith.science/api/pith-number/FWR4HYQWLJ3XQXDKPTED2XOJQP/graph.json","events_json":"https://pith.science/api/pith-number/FWR4HYQWLJ3XQXDKPTED2XOJQP/events.json","paper":"https://pith.science/paper/FWR4HYQW"},"agent_actions":{"view_html":"https://pith.science/pith/FWR4HYQWLJ3XQXDKPTED2XOJQP","download_json":"https://pith.science/pith/FWR4HYQWLJ3XQXDKPTED2XOJQP.json","view_paper":"https://pith.science/paper/FWR4HYQW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.07355&json=true","fetch_graph":"https://pith.science/api/pith-number/FWR4HYQWLJ3XQXDKPTED2XOJQP/graph.json","fetch_events":"https://pith.science/api/pith-number/FWR4HYQWLJ3XQXDKPTED2XOJQP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FWR4HYQWLJ3XQXDKPTED2XOJQP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FWR4HYQWLJ3XQXDKPTED2XOJQP/action/storage_attestation","attest_author":"https://pith.science/pith/FWR4HYQWLJ3XQXDKPTED2XOJQP/action/author_attestation","sign_citation":"https://pith.science/pith/FWR4HYQWLJ3XQXDKPTED2XOJQP/action/citation_signature","submit_replication":"https://pith.science/pith/FWR4HYQWLJ3XQXDKPTED2XOJQP/action/replication_record"}},"created_at":"2026-05-18T02:03:33.474349+00:00","updated_at":"2026-05-18T02:03:33.474349+00:00"}