{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4A66XZAH6KQFRXOROJWQKOC5C5","short_pith_number":"pith:4A66XZAH","schema_version":"1.0","canonical_sha256":"e03debe407f2a058ddd1726d05385d175da594fdd3ce42425d8a54497b3fab81","source":{"kind":"arxiv","id":"1407.1787","version":1},"attestation_state":"computed","paper":{"title":"Equicontinuous factors, proximality and Ellis semigroup for Delone sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Daniel Lenz, Jean-baptiste Aujogue, Johannes Kellendonk, Marcy Barge","submitted_at":"2014-07-07T17:59:37Z","abstract_excerpt":"We discuss the application of various concepts from the theory of topological dynamical systems to Delone sets and tilings. We consider in particular, the maximal equicontinuous factor of a Delone dynamical system, the proximality relation and the enveloping semigroup of such systems."},"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":"1407.1787","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-07-07T17:59:37Z","cross_cats_sorted":[],"title_canon_sha256":"5ee2412e6280a7936f1fbc0ab6e10f7c9ad9aa8ed866619e7b7e4696e31e78fc","abstract_canon_sha256":"7a2cccdd9e3d635e733f72ae444b01b16aca5cf77a1ea5680ddb40befd53e4fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:10.410462Z","signature_b64":"Ai9OEX/8toF/CX2CVoY3HblGPicJk/1gFEKGAKrkhLhM0e0BCM8Pgeij82h4IDgctoewzLDoA7LtV82tWwZYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e03debe407f2a058ddd1726d05385d175da594fdd3ce42425d8a54497b3fab81","last_reissued_at":"2026-05-18T02:48:10.409804Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:10.409804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equicontinuous factors, proximality and Ellis semigroup for Delone sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Daniel Lenz, Jean-baptiste Aujogue, Johannes Kellendonk, Marcy Barge","submitted_at":"2014-07-07T17:59:37Z","abstract_excerpt":"We discuss the application of various concepts from the theory of topological dynamical systems to Delone sets and tilings. We consider in particular, the maximal equicontinuous factor of a Delone dynamical system, the proximality relation and the enveloping semigroup of such systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1787","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":"1407.1787","created_at":"2026-05-18T02:48:10.409895+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.1787v1","created_at":"2026-05-18T02:48:10.409895+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1787","created_at":"2026-05-18T02:48:10.409895+00:00"},{"alias_kind":"pith_short_12","alias_value":"4A66XZAH6KQF","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4A66XZAH6KQFRXOR","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4A66XZAH","created_at":"2026-05-18T12:28:14.216126+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/4A66XZAH6KQFRXOROJWQKOC5C5","json":"https://pith.science/pith/4A66XZAH6KQFRXOROJWQKOC5C5.json","graph_json":"https://pith.science/api/pith-number/4A66XZAH6KQFRXOROJWQKOC5C5/graph.json","events_json":"https://pith.science/api/pith-number/4A66XZAH6KQFRXOROJWQKOC5C5/events.json","paper":"https://pith.science/paper/4A66XZAH"},"agent_actions":{"view_html":"https://pith.science/pith/4A66XZAH6KQFRXOROJWQKOC5C5","download_json":"https://pith.science/pith/4A66XZAH6KQFRXOROJWQKOC5C5.json","view_paper":"https://pith.science/paper/4A66XZAH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.1787&json=true","fetch_graph":"https://pith.science/api/pith-number/4A66XZAH6KQFRXOROJWQKOC5C5/graph.json","fetch_events":"https://pith.science/api/pith-number/4A66XZAH6KQFRXOROJWQKOC5C5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4A66XZAH6KQFRXOROJWQKOC5C5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4A66XZAH6KQFRXOROJWQKOC5C5/action/storage_attestation","attest_author":"https://pith.science/pith/4A66XZAH6KQFRXOROJWQKOC5C5/action/author_attestation","sign_citation":"https://pith.science/pith/4A66XZAH6KQFRXOROJWQKOC5C5/action/citation_signature","submit_replication":"https://pith.science/pith/4A66XZAH6KQFRXOROJWQKOC5C5/action/replication_record"}},"created_at":"2026-05-18T02:48:10.409895+00:00","updated_at":"2026-05-18T02:48:10.409895+00:00"}