{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Z256EIOZRLSGJYXPRREO7PRXRD","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":"3ca1ecfa61194e95c950a1f12b1048f8e7b0856578dfdffcde340925d3bac9e8","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-11-25T18:51:16Z","title_canon_sha256":"cd81bbcdf0f9ff8ef4368354326aaaa6dea67108f599c43b6c927987d099a745"},"schema_version":"1.0","source":{"id":"1611.08551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08551","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08551v1","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08551","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"pith_short_12","alias_value":"Z256EIOZRLSG","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"Z256EIOZRLSGJYXP","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"Z256EIOZ","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:19e03f214dc136093f82f4713c765de2e755cdbf6fd8ff1cf609a0c79925b17c","target":"graph","created_at":"2026-05-18T00:56:38Z","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 a novel numerical scheme for finding the sparse self-localized states of a nonlinear system of equations with missing spectral data is introduced. As in the Petviashivili's and the spectral renormalization method, the governing equation is transformed into Fourier domain, but the iterations are performed for far fewer number of spectral components (M) than classical versions of the these methods with higher number of spectral components (N). After the converge criteria is achieved for M components, N component signal is reconstructed from M components by using the l1 minimization","authors_text":"Cihan Bayindir","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-11-25T18:51:16Z","title":"Compressive Spectral Renormalization Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08551","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:e59d7db23d42e1f379daffc21d26152d7a281cc79db41ffd4fce3e1339b748c9","target":"record","created_at":"2026-05-18T00:56:38Z","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":"3ca1ecfa61194e95c950a1f12b1048f8e7b0856578dfdffcde340925d3bac9e8","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-11-25T18:51:16Z","title_canon_sha256":"cd81bbcdf0f9ff8ef4368354326aaaa6dea67108f599c43b6c927987d099a745"},"schema_version":"1.0","source":{"id":"1611.08551","kind":"arxiv","version":1}},"canonical_sha256":"cebbe221d98ae464e2ef8c48efbe3788e7e479adec217f1ad72c67540fd9db5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cebbe221d98ae464e2ef8c48efbe3788e7e479adec217f1ad72c67540fd9db5d","first_computed_at":"2026-05-18T00:56:38.641106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:38.641106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3jLk3JLvYp8X0Z2fwnc3aKAJf+4xtPQyQU1vz/Vl/VmuIkN23uY/36SKnDvBgNEsJK7Z0sY//3zVhxgQU7z/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:38.641684Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e59d7db23d42e1f379daffc21d26152d7a281cc79db41ffd4fce3e1339b748c9","sha256:19e03f214dc136093f82f4713c765de2e755cdbf6fd8ff1cf609a0c79925b17c"],"state_sha256":"9459b0f261e5f9b5f985e25e54aaa995ea2fcc7c98022f99dea7bb3abfab68ab"}