{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TZHMCDZDL5FDEMWPC2ZL7T6LKY","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":"4aebbcd2f5e11556ebb7839327853914fa28509e457df843df976758f43d8485","cross_cats_sorted":["cond-mat.other","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2014-02-13T11:16:21Z","title_canon_sha256":"bdd59815c24477400d4952231f377904de61c6913d7e505f12d9c2fbd02b76d2"},"schema_version":"1.0","source":{"id":"1402.4092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4092","created_at":"2026-05-18T02:58:47Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4092v1","created_at":"2026-05-18T02:58:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4092","created_at":"2026-05-18T02:58:47Z"},{"alias_kind":"pith_short_12","alias_value":"TZHMCDZDL5FD","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TZHMCDZDL5FDEMWP","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TZHMCDZD","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:36fd95763c7269e809b49f8330acbf0a95edde44ae07a3a26427db05b4513646","target":"graph","created_at":"2026-05-18T02:58:47Z","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":"The phenomenon of superoscillation, where band limited signals can oscillate over some time period with a frequency higher than the band limit, is not only very interesting but it also seems to offer many practical applications. The first reason is that the superoscillation frequency can be exploited to perform tasks beyond the limits imposed by the lower bandwidth of the signal. The second reason is that it is generic and applies to any wave form, be it optical, electrical, sonic, or quantum mechanical. For practical applications, it is important to overcome two problems. The first problem is","authors_text":"Moshe Schwartz, Nehemia Schwartz","cross_cats":["cond-mat.other","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2014-02-13T11:16:21Z","title":"On a periodicity measure and superoscillations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4092","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":"sha256:1e8e5ee23487ceb8940ed434d1a31e9c237fa23602bd64b661c8b8f15732cdd9","target":"record","created_at":"2026-05-18T02:58:47Z","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":"4aebbcd2f5e11556ebb7839327853914fa28509e457df843df976758f43d8485","cross_cats_sorted":["cond-mat.other","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2014-02-13T11:16:21Z","title_canon_sha256":"bdd59815c24477400d4952231f377904de61c6913d7e505f12d9c2fbd02b76d2"},"schema_version":"1.0","source":{"id":"1402.4092","kind":"arxiv","version":1}},"canonical_sha256":"9e4ec10f235f4a3232cf16b2bfcfcb562831df87fffd1aafc7f1c77c0a460214","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e4ec10f235f4a3232cf16b2bfcfcb562831df87fffd1aafc7f1c77c0a460214","first_computed_at":"2026-05-18T02:58:47.293929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:47.293929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mk5I33L9ZhF3Tus3IHxRq5VSukc2rKHl7nqVm0PsNEycb9jAQ5n0GXs3Af7ssm5kkStjhnj/A/G5+m9e7VOqDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:47.294834Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e8e5ee23487ceb8940ed434d1a31e9c237fa23602bd64b661c8b8f15732cdd9","sha256:36fd95763c7269e809b49f8330acbf0a95edde44ae07a3a26427db05b4513646"],"state_sha256":"9e24cc0f221ff65ff27ba73e8370038f4f04899a1a14be3124eee91d938c401a"}