{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SFCBRADDXZC6SPCISHIO7YH56R","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":"8a66a09489e048f8a970637ef1900ff05ef9b6a933e6c92348d7041eda0a4eb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-12-01T15:15:34Z","title_canon_sha256":"f4bd8c861d033b39c85d5f916821aa34ea54d237998610d87bbb9de63e846c33"},"schema_version":"1.0","source":{"id":"1512.00290","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00290","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00290v2","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00290","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"pith_short_12","alias_value":"SFCBRADDXZC6","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"SFCBRADDXZC6SPCI","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"SFCBRADD","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:66bf34dc7e0bd9163c12ac8176b0979af63e26d146dfce37f8d814ef6b77f71c","target":"graph","created_at":"2026-05-18T01:22:50Z","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":"It was proved in 2007 by C.Bandt and H.Rao that if a system $S = \\{S_1 , ..., S_m \\}$ of contraction similarities in $R^2$ with a connected attractor $K$ has the finite intersection property, then it satisfies OSC. We construct a self-simiilar Jordan arc in $R^3$, defined by a system $S$ , which does not satisfy OSC and at the same time has one-point intersection property.","authors_text":"Andrey Tetenov, Dmitry Vaulin, Kirill Kamalutdinov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-12-01T15:15:34Z","title":"Self-Similar Jordan Arcs Which Do Not Satisfy OSC"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00290","kind":"arxiv","version":2},"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:c56ed6a30552c0e9fd90248301344f72ffa551a2fc929f4e77de3c8982e09aef","target":"record","created_at":"2026-05-18T01:22:50Z","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":"8a66a09489e048f8a970637ef1900ff05ef9b6a933e6c92348d7041eda0a4eb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-12-01T15:15:34Z","title_canon_sha256":"f4bd8c861d033b39c85d5f916821aa34ea54d237998610d87bbb9de63e846c33"},"schema_version":"1.0","source":{"id":"1512.00290","kind":"arxiv","version":2}},"canonical_sha256":"9144188063be45e93c4891d0efe0fdf4448898b1cecd4fd6b198be2734df1d48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9144188063be45e93c4891d0efe0fdf4448898b1cecd4fd6b198be2734df1d48","first_computed_at":"2026-05-18T01:22:50.226248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:50.226248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gFG6I9Yce2NP0suDJWV3+ihVJCfwmjcjP2EOSaDcYz+8FuSET03NqJEkzkF1oBRaEpdfKioCRCqez+5TYTbjBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:50.226755Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00290","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c56ed6a30552c0e9fd90248301344f72ffa551a2fc929f4e77de3c8982e09aef","sha256:66bf34dc7e0bd9163c12ac8176b0979af63e26d146dfce37f8d814ef6b77f71c"],"state_sha256":"96f8aae769400c1f910264409031f79a70b25fd3a1802754dbfcaaab81aa33f4"}