{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:65EAPQKVW6ABLV7HM6HTZV3BQM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"580eec5b524600b892f0b6d7e24a8076537014d331452585d240c2718008932b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-04-22T11:29:24Z","title_canon_sha256":"f9d58af2933b5257b4b69304e76b8a38769536dbcf0c0273a61e1adf1945810e"},"schema_version":"1.0","source":{"id":"1704.06782","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06782","created_at":"2026-05-18T00:45:55Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06782v1","created_at":"2026-05-18T00:45:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06782","created_at":"2026-05-18T00:45:55Z"},{"alias_kind":"pith_short_12","alias_value":"65EAPQKVW6AB","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"65EAPQKVW6ABLV7H","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"65EAPQKV","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:bc2c3d0d14a8b7d177084f2625499fb1f3103d2f3e2b43f11f5261795ed0ce0b","target":"graph","created_at":"2026-05-18T00:45:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A continuum $K$ is a common model for the family ${\\mathcal K}$ of continua if every member of ${\\mathcal K}$ is a continuous image of $K$. We show that none of the following classes of spaces has a common model: 1) the class of strongly chaotic hereditarily indecomposable $n$-dimensional Cantor manifolds, for any given natural number $n$, 2) the class of strongly chaotic hereditarily indecomposable hereditarily strongly infinite-dimensional Cantor manifolds, 3) the class of strongly chaotic hereditarily indecomposable continua with transfinite dimension (small or large) equal to $\\alpha$, for","authors_text":"El\\.zbieta Pol, Jerzy Krzempek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-04-22T11:29:24Z","title":"The non-existence of common models for some classes of higher-dimensional hereditarily indecomposable continua"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06782","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f2550fffb2f1413c695cb33526151d578ad6fe70e50b3a03f3a4f4f53189043a","target":"record","created_at":"2026-05-18T00:45:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"580eec5b524600b892f0b6d7e24a8076537014d331452585d240c2718008932b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-04-22T11:29:24Z","title_canon_sha256":"f9d58af2933b5257b4b69304e76b8a38769536dbcf0c0273a61e1adf1945810e"},"schema_version":"1.0","source":{"id":"1704.06782","kind":"arxiv","version":1}},"canonical_sha256":"f74807c155b78015d7e7678f3cd761830ba8b95425c2cfef4878f495ecd744a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f74807c155b78015d7e7678f3cd761830ba8b95425c2cfef4878f495ecd744a5","first_computed_at":"2026-05-18T00:45:55.832338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:55.832338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fL23IHFVUn7yJVeROTXxqsmfzFIE454CaVA0xaRMSa8v+r0DXuQ3oBlfAmTvjmZhMCqfwy5jX4W2iEHG8uQiDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:55.832898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.06782","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2550fffb2f1413c695cb33526151d578ad6fe70e50b3a03f3a4f4f53189043a","sha256:bc2c3d0d14a8b7d177084f2625499fb1f3103d2f3e2b43f11f5261795ed0ce0b"],"state_sha256":"9b87348f8cf67d01bda8ae50395ecdbd26c147183676cb56373446ca067aed3a"}