{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DQ2QBAMXISJUGKZ7OELBL55KEN","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":"b6f1fff41886bb965abb689baf96fa33703987ace8ca97270b439d211de63599","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-06-17T20:34:37Z","title_canon_sha256":"98310e611597c8da9e144b7009bb44e1b1a1dbc81d6ab211343cf07a6a0ac481"},"schema_version":"1.0","source":{"id":"1306.4012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4012","created_at":"2026-05-18T03:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4012v2","created_at":"2026-05-18T03:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4012","created_at":"2026-05-18T03:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"DQ2QBAMXISJU","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DQ2QBAMXISJUGKZ7","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DQ2QBAMX","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:8850c6f8f80546070eea14c0fb5cdb380da5feb5c2617e01fabbcd4684ddbcae","target":"graph","created_at":"2026-05-18T03:01:10Z","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":"In this work we prove that a $C^{1+\\alpha}$-hyperbolic Cantor set contained in $S^1$, close to an affine Cantor set, is not $C^{1}$-minimal.","authors_text":"Aldo Portela, Jorge Iglesias, Liane Bordignon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-06-17T20:34:37Z","title":"About $C^{1}$-minimality of the hyperbolic Cantor sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4012","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:b2769bf329ed76224489e8b6d93a1c88d92ab2a35d07d6669758f8eb6c968aa6","target":"record","created_at":"2026-05-18T03:01:10Z","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":"b6f1fff41886bb965abb689baf96fa33703987ace8ca97270b439d211de63599","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-06-17T20:34:37Z","title_canon_sha256":"98310e611597c8da9e144b7009bb44e1b1a1dbc81d6ab211343cf07a6a0ac481"},"schema_version":"1.0","source":{"id":"1306.4012","kind":"arxiv","version":2}},"canonical_sha256":"1c350081974493432b3f711615f7aa23507906a08367eb25c8113ea50091b617","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c350081974493432b3f711615f7aa23507906a08367eb25c8113ea50091b617","first_computed_at":"2026-05-18T03:01:10.511852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:10.511852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5HyzDLiAQk3QKbPX029cXNgSEkqDg9KsE/Cww6A9e8OSqgPIFIFtutlXMiHOY21mdJmsrJ2rlPuJM35taslbBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:10.512558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2769bf329ed76224489e8b6d93a1c88d92ab2a35d07d6669758f8eb6c968aa6","sha256:8850c6f8f80546070eea14c0fb5cdb380da5feb5c2617e01fabbcd4684ddbcae"],"state_sha256":"05e6d702400b08969d11822ca760120706601c872eb099c5d5e50679a271d6b2"}