{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3ZCWMURQ64PSKJXZBT25BNPMPP","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":"4f6dc87a6da53fecd781086483abde3d076418419b89bf6dcc4dcd058e77d9a0","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-14T15:00:38Z","title_canon_sha256":"a17776be3ebe53f2a8fbe9b61404b9ddda920162c83eec388ec0f6aabba9cd51"},"schema_version":"1.0","source":{"id":"1109.3102","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3102","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3102v1","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3102","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"pith_short_12","alias_value":"3ZCWMURQ64PS","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"3ZCWMURQ64PSKJXZ","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"3ZCWMURQ","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:1d017c783290e59e8d6a7f7aa9f7842ecd6400148c875c8470f0b24555b34bf3","target":"graph","created_at":"2026-05-18T04:13:06Z","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 paper we consider the design of spectrally efficient time-limited pulses for ultrawideband (UWB) systems using an overlapping pulse position modulation scheme. For this we investigate an orthogonalization method, which was developed in 1950 by Per-Olov L\\\"owdin. Our objective is to obtain a set of N orthogonal (L\\\"owdin) pulses, which remain time-limited and spectrally efficient for UWB systems, from a set of N equidistant translates of a time-limited optimal spectral designed UWB pulse. We derive an approximate L\\\"owdin orthogonalization (ALO) by using circulant approximations for the","authors_text":"Peter Jung, Philipp Walk","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-14T15:00:38Z","title":"Approximation of L\\\"owdin Orthogonalization to a Spectrally Efficient Orthogonal Overlapping PPM Design for UWB Impulse Radio"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3102","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":"sha256:88f93294565734aceb866cf1f5942efc59f585fe75425f675c45072f5cfb3e45","target":"record","created_at":"2026-05-18T04:13:06Z","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":"4f6dc87a6da53fecd781086483abde3d076418419b89bf6dcc4dcd058e77d9a0","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-14T15:00:38Z","title_canon_sha256":"a17776be3ebe53f2a8fbe9b61404b9ddda920162c83eec388ec0f6aabba9cd51"},"schema_version":"1.0","source":{"id":"1109.3102","kind":"arxiv","version":1}},"canonical_sha256":"de45665230f71f2526f90cf5d0b5ec7bcc7eb787421ba4ab6ac84b7f5cb7ebb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de45665230f71f2526f90cf5d0b5ec7bcc7eb787421ba4ab6ac84b7f5cb7ebb2","first_computed_at":"2026-05-18T04:13:06.284968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:06.284968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CPtwcOIuHNGsp3tIGRcZ8lHD4fVPAlnpKdI0Oavc96ZR3+6ebJ6qEVqRd2GgNWX7eR8+FMXyfYU+68hZp++mCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:06.285433Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3102","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88f93294565734aceb866cf1f5942efc59f585fe75425f675c45072f5cfb3e45","sha256:1d017c783290e59e8d6a7f7aa9f7842ecd6400148c875c8470f0b24555b34bf3"],"state_sha256":"0d69be02e4a012ac38da25c894db245feefbf687d06b61abb8add4840d004e98"}