{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OYRABCTCMU5AS53RQ5IST2VIWA","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":"e126858f48432676bf0bdf83095e8de2fda7b354c3f8a8d68149021131ee7556","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-07-07T15:02:32Z","title_canon_sha256":"2469e953744208bd8c8d2f1846353c37c2b8049fca62c618ffaf5617b30e818b"},"schema_version":"1.0","source":{"id":"1807.02675","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02675","created_at":"2026-05-18T00:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02675v2","created_at":"2026-05-18T00:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02675","created_at":"2026-05-18T00:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"OYRABCTCMU5A","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OYRABCTCMU5AS53R","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OYRABCTC","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:ee246a3aecb95b261b0e696c7db2ede870ac22dcc1519a957cce839eccbd1c11","target":"graph","created_at":"2026-05-18T00:05:09Z","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":"Fractal structures pervade nature and are receiving increasing engineering attention towards the realization of broadband resonators and antennas. We show that fractal resonators can support the emergence of high-dimensional chaotic dynamics even in the context of an elementary, single-transistor oscillator circuit. Sierpi\\'nski gaskets of variable depth are constructed using discrete capacitors and inductors, whose values are scaled according to a simple sequence. It is found that in regular fractals of this kind each iteration effectively adds a conjugate pole/zero pair, yielding gradually m","authors_text":"Gianluca Giustolisi, Leonardo Ricci, Ludovico Minati, Mattia Frasca, Pawel Oswiecimka, Stanislaw Drozdz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-07-07T15:02:32Z","title":"High-dimensional dynamics in a single-transistor oscillator containing Feynman-Sierpinski resonators: effect of fractal depth and irregularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02675","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:bb71a976cc70c95699aa20577d2aa007bd2a3972351bbaaa78267bc5db846159","target":"record","created_at":"2026-05-18T00:05:09Z","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":"e126858f48432676bf0bdf83095e8de2fda7b354c3f8a8d68149021131ee7556","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-07-07T15:02:32Z","title_canon_sha256":"2469e953744208bd8c8d2f1846353c37c2b8049fca62c618ffaf5617b30e818b"},"schema_version":"1.0","source":{"id":"1807.02675","kind":"arxiv","version":2}},"canonical_sha256":"7622008a62653a097771875129eaa8b006d1f7bf1ea3b4365ea82167b53df444","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7622008a62653a097771875129eaa8b006d1f7bf1ea3b4365ea82167b53df444","first_computed_at":"2026-05-18T00:05:09.124797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:09.124797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2yuZzniONygw/SxRcFZZVgfe3z9a8wI+FAfJcxkzY1/NuGPE2BVqRmKN9n36HJeENnC6H2yHKfUGpVQ/V6bRDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:09.125429Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.02675","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb71a976cc70c95699aa20577d2aa007bd2a3972351bbaaa78267bc5db846159","sha256:ee246a3aecb95b261b0e696c7db2ede870ac22dcc1519a957cce839eccbd1c11"],"state_sha256":"8a7264ac49ad0898e58e849d2107ac5b4a46b9885194a30fc7cfe364a00f4f9c"}