{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FC5ZUGDYYB4S6QZNRAL75BQGO6","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":"56f5a70a90694d6d98beb0fc8cad3d2ace88276c65c4a60c7e9b62ceef22e8b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-11-09T07:21:48Z","title_canon_sha256":"e5815f1c38f2881d05e97b7e02261f62b7e5943a4de111d8f2d75fe9401aebeb"},"schema_version":"1.0","source":{"id":"1011.1989","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1989","created_at":"2026-05-18T04:36:42Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1989v1","created_at":"2026-05-18T04:36:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1989","created_at":"2026-05-18T04:36:42Z"},{"alias_kind":"pith_short_12","alias_value":"FC5ZUGDYYB4S","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"FC5ZUGDYYB4S6QZN","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"FC5ZUGDY","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:76330108a92573177501fdc6600adbd2cf7e859c73d05518d0fd09d9e5de1e13","target":"graph","created_at":"2026-05-18T04:36:42Z","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":"Let (Y_t: t > 0) be the STIT tessellation process. We show that for all polytopes W with nonempty interior and all a>1, the renormalized random sequence (a^n Y_{a^n}: n integer) induced in W, is a finitary factor of a Bernoulli shift. As a corollary we get that the renormalized continuous time process (a^t Y_{a^t}: t real) induced in W is a Bernoulli flow.","authors_text":"Servet Mart\\'inez, Werner Nagel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-11-09T07:21:48Z","title":"Ergodic Description of STIT Tessellations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1989","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":"sha256:3fc9e4a6f0669a9de82c1eaebaa3a9efb582948e1338479833cd4a465237ccaf","target":"record","created_at":"2026-05-18T04:36:42Z","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":"56f5a70a90694d6d98beb0fc8cad3d2ace88276c65c4a60c7e9b62ceef22e8b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-11-09T07:21:48Z","title_canon_sha256":"e5815f1c38f2881d05e97b7e02261f62b7e5943a4de111d8f2d75fe9401aebeb"},"schema_version":"1.0","source":{"id":"1011.1989","kind":"arxiv","version":1}},"canonical_sha256":"28bb9a1878c0792f432d8817fe860677972ad5d587fdadf8b27c2d9cdb629d78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28bb9a1878c0792f432d8817fe860677972ad5d587fdadf8b27c2d9cdb629d78","first_computed_at":"2026-05-18T04:36:42.822147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:42.822147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r+DxU9IX9Fr4g8hvzwtb0BQTONhlGphl4Gic8OXFvlGCYEouaYswirGYr7aqBP7c8HoM1XkJtLMFww1x8tEJDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:42.822619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.1989","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fc9e4a6f0669a9de82c1eaebaa3a9efb582948e1338479833cd4a465237ccaf","sha256:76330108a92573177501fdc6600adbd2cf7e859c73d05518d0fd09d9e5de1e13"],"state_sha256":"2456ddc5419456699d49034d9c2d3f982c9df18a31cc006ded1b01460a50122b"}