{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:6BB6G4R3CXIQLSYNK7TCIYCPBX","short_pith_number":"pith:6BB6G4R3","schema_version":"1.0","canonical_sha256":"f043e3723b15d105cb0d57e624604f0dcf26d92fc7a214793b8b266ae4241810","source":{"kind":"arxiv","id":"1705.00159","version":2},"attestation_state":"computed","paper":{"title":"Boundedness and absoluteness of some dynamical invariants in model theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GN"],"primary_cat":"math.LO","authors_text":"Krzysztof Krupinski, Ludomir Newelski, Pierre Simon","submitted_at":"2017-04-29T09:21:54Z","abstract_excerpt":"Let ${\\mathfrak C}$ be a monster model of an arbitrary theory $T$, $\\bar \\alpha$ any tuple of bounded length of elements of ${\\mathfrak C}$, and $\\bar c$ an enumeration of all elements of ${\\mathfrak C}$. By $S_{\\bar \\alpha}({\\mathfrak C})$ denote the compact space of all complete types over ${\\mathfrak C}$ extending $tp(\\bar \\alpha/\\emptyset)$, and $S_{\\bar c}({\\mathfrak C})$ is defined analogously. Then $S_{\\bar \\alpha}({\\mathfrak C})$ and $S_{\\bar c}({\\mathfrak C})$ are naturally $Aut({\\mathfrak C})$-flows. We show that the Ellis groups of both these flows are of bounded size (i.e. smaller "},"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":"1705.00159","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-04-29T09:21:54Z","cross_cats_sorted":["math.DS","math.GN"],"title_canon_sha256":"d63c0b5e4b3720090e0ed9c3ad3bdb470bcf40a020a2a675f9900edfa255476e","abstract_canon_sha256":"012f0e8c445ede3fef593108c0250b6518498a8a0efef817852d6eed0274d726"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:03.897168Z","signature_b64":"X17658al9gLmop9shc/S/zaZvspons0oza4QrPGp/9y2QGmfXiO9MLn5tw21UWPXy39Ge/CVI8iZDVFPSg1fAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f043e3723b15d105cb0d57e624604f0dcf26d92fc7a214793b8b266ae4241810","last_reissued_at":"2026-05-17T23:47:03.896372Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:03.896372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundedness and absoluteness of some dynamical invariants in model theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GN"],"primary_cat":"math.LO","authors_text":"Krzysztof Krupinski, Ludomir Newelski, Pierre Simon","submitted_at":"2017-04-29T09:21:54Z","abstract_excerpt":"Let ${\\mathfrak C}$ be a monster model of an arbitrary theory $T$, $\\bar \\alpha$ any tuple of bounded length of elements of ${\\mathfrak C}$, and $\\bar c$ an enumeration of all elements of ${\\mathfrak C}$. By $S_{\\bar \\alpha}({\\mathfrak C})$ denote the compact space of all complete types over ${\\mathfrak C}$ extending $tp(\\bar \\alpha/\\emptyset)$, and $S_{\\bar c}({\\mathfrak C})$ is defined analogously. Then $S_{\\bar \\alpha}({\\mathfrak C})$ and $S_{\\bar c}({\\mathfrak C})$ are naturally $Aut({\\mathfrak C})$-flows. We show that the Ellis groups of both these flows are of bounded size (i.e. smaller "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00159","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":"1705.00159","created_at":"2026-05-17T23:47:03.896504+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.00159v2","created_at":"2026-05-17T23:47:03.896504+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00159","created_at":"2026-05-17T23:47:03.896504+00:00"},{"alias_kind":"pith_short_12","alias_value":"6BB6G4R3CXIQ","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"6BB6G4R3CXIQLSYN","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"6BB6G4R3","created_at":"2026-05-18T12:31:03.183658+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/6BB6G4R3CXIQLSYNK7TCIYCPBX","json":"https://pith.science/pith/6BB6G4R3CXIQLSYNK7TCIYCPBX.json","graph_json":"https://pith.science/api/pith-number/6BB6G4R3CXIQLSYNK7TCIYCPBX/graph.json","events_json":"https://pith.science/api/pith-number/6BB6G4R3CXIQLSYNK7TCIYCPBX/events.json","paper":"https://pith.science/paper/6BB6G4R3"},"agent_actions":{"view_html":"https://pith.science/pith/6BB6G4R3CXIQLSYNK7TCIYCPBX","download_json":"https://pith.science/pith/6BB6G4R3CXIQLSYNK7TCIYCPBX.json","view_paper":"https://pith.science/paper/6BB6G4R3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.00159&json=true","fetch_graph":"https://pith.science/api/pith-number/6BB6G4R3CXIQLSYNK7TCIYCPBX/graph.json","fetch_events":"https://pith.science/api/pith-number/6BB6G4R3CXIQLSYNK7TCIYCPBX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6BB6G4R3CXIQLSYNK7TCIYCPBX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6BB6G4R3CXIQLSYNK7TCIYCPBX/action/storage_attestation","attest_author":"https://pith.science/pith/6BB6G4R3CXIQLSYNK7TCIYCPBX/action/author_attestation","sign_citation":"https://pith.science/pith/6BB6G4R3CXIQLSYNK7TCIYCPBX/action/citation_signature","submit_replication":"https://pith.science/pith/6BB6G4R3CXIQLSYNK7TCIYCPBX/action/replication_record"}},"created_at":"2026-05-17T23:47:03.896504+00:00","updated_at":"2026-05-17T23:47:03.896504+00:00"}