{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YGQZOEWLPREKLURZQ4GJZ2DGEF","short_pith_number":"pith:YGQZOEWL","canonical_record":{"source":{"id":"1512.03932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-12-12T16:39:51Z","cross_cats_sorted":["math.NA","physics.flu-dyn"],"title_canon_sha256":"b8c177b5f3723675964f5b99c59a9500185682704be774ed9cf80cd47a56b099","abstract_canon_sha256":"9e825e7dc4d2abb8409f9f6084f732199c214545de43f336483ad817f3c24ae9"},"schema_version":"1.0"},"canonical_sha256":"c1a19712cb7c48a5d239870c9ce86621513b7992c6c7e677724442809bd6fb4e","source":{"kind":"arxiv","id":"1512.03932","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.03932","created_at":"2026-05-18T01:24:23Z"},{"alias_kind":"arxiv_version","alias_value":"1512.03932v1","created_at":"2026-05-18T01:24:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03932","created_at":"2026-05-18T01:24:23Z"},{"alias_kind":"pith_short_12","alias_value":"YGQZOEWLPREK","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YGQZOEWLPREKLURZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YGQZOEWL","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YGQZOEWLPREKLURZQ4GJZ2DGEF","target":"record","payload":{"canonical_record":{"source":{"id":"1512.03932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-12-12T16:39:51Z","cross_cats_sorted":["math.NA","physics.flu-dyn"],"title_canon_sha256":"b8c177b5f3723675964f5b99c59a9500185682704be774ed9cf80cd47a56b099","abstract_canon_sha256":"9e825e7dc4d2abb8409f9f6084f732199c214545de43f336483ad817f3c24ae9"},"schema_version":"1.0"},"canonical_sha256":"c1a19712cb7c48a5d239870c9ce86621513b7992c6c7e677724442809bd6fb4e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:23.566966Z","signature_b64":"BkVjJfzGtmdFThG/0Zz4/nEmQoAO/fHBYI7p+9oLBQLoFig0nHeJSjzMbEApeAeJumGEy0f0EO25i7x2AqI7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1a19712cb7c48a5d239870c9ce86621513b7992c6c7e677724442809bd6fb4e","last_reissued_at":"2026-05-18T01:24:23.566295Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:23.566295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.03932","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bK29TVs75/YAQiyBPMNk6tTMQE+aVBoBgy33qtxiHHtM9kT2uoXDKhJZbdxCW+gSYCNCukt2aoBOcjBBbtlMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:53:40.866628Z"},"content_sha256":"256fa6f068b16f89090599ff3e80136d78cc3e0f8436c24503796f9e1a66fb83","schema_version":"1.0","event_id":"sha256:256fa6f068b16f89090599ff3e80136d78cc3e0f8436c24503796f9e1a66fb83"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YGQZOEWLPREKLURZQ4GJZ2DGEF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compressive Split-Step Fourier Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA","physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Cihan Bayindir","submitted_at":"2015-12-12T16:39:51Z","abstract_excerpt":"In this paper an approach for decreasing the computational effort required for the split-step Fourier method (SSFM) is introduced. It is shown that using the sparsity property of the simulated signals, the compressive sampling algorithm can be used as a very efficient tool for the split-step spectral simulations of various phenomena which can be modeled by using differential equations. The proposed method depends on the idea of using a smaller number of spectral components compared to the classical split-step Fourier method with a high number of components. After performing the time integratio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03932","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yiv8CVPCNJ1k31RhDWG5vJOqX+vs2hDGyduBGRz1lYkfkGmMA8okP5WpVY4gWaQKPX/eJ21VMMWC7RMJFvMYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:53:40.867334Z"},"content_sha256":"666d1791d513a08b34ebc42d9aef057c9442dcbc130a615b60fcfbb1bc4440c3","schema_version":"1.0","event_id":"sha256:666d1791d513a08b34ebc42d9aef057c9442dcbc130a615b60fcfbb1bc4440c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YGQZOEWLPREKLURZQ4GJZ2DGEF/bundle.json","state_url":"https://pith.science/pith/YGQZOEWLPREKLURZQ4GJZ2DGEF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YGQZOEWLPREKLURZQ4GJZ2DGEF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T07:53:40Z","links":{"resolver":"https://pith.science/pith/YGQZOEWLPREKLURZQ4GJZ2DGEF","bundle":"https://pith.science/pith/YGQZOEWLPREKLURZQ4GJZ2DGEF/bundle.json","state":"https://pith.science/pith/YGQZOEWLPREKLURZQ4GJZ2DGEF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YGQZOEWLPREKLURZQ4GJZ2DGEF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YGQZOEWLPREKLURZQ4GJZ2DGEF","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":"9e825e7dc4d2abb8409f9f6084f732199c214545de43f336483ad817f3c24ae9","cross_cats_sorted":["math.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-12-12T16:39:51Z","title_canon_sha256":"b8c177b5f3723675964f5b99c59a9500185682704be774ed9cf80cd47a56b099"},"schema_version":"1.0","source":{"id":"1512.03932","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.03932","created_at":"2026-05-18T01:24:23Z"},{"alias_kind":"arxiv_version","alias_value":"1512.03932v1","created_at":"2026-05-18T01:24:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03932","created_at":"2026-05-18T01:24:23Z"},{"alias_kind":"pith_short_12","alias_value":"YGQZOEWLPREK","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YGQZOEWLPREKLURZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YGQZOEWL","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:666d1791d513a08b34ebc42d9aef057c9442dcbc130a615b60fcfbb1bc4440c3","target":"graph","created_at":"2026-05-18T01:24:23Z","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 an approach for decreasing the computational effort required for the split-step Fourier method (SSFM) is introduced. It is shown that using the sparsity property of the simulated signals, the compressive sampling algorithm can be used as a very efficient tool for the split-step spectral simulations of various phenomena which can be modeled by using differential equations. The proposed method depends on the idea of using a smaller number of spectral components compared to the classical split-step Fourier method with a high number of components. After performing the time integratio","authors_text":"Cihan Bayindir","cross_cats":["math.NA","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-12-12T16:39:51Z","title":"Compressive Split-Step Fourier Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03932","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":"sha256:256fa6f068b16f89090599ff3e80136d78cc3e0f8436c24503796f9e1a66fb83","target":"record","created_at":"2026-05-18T01:24:23Z","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":"9e825e7dc4d2abb8409f9f6084f732199c214545de43f336483ad817f3c24ae9","cross_cats_sorted":["math.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-12-12T16:39:51Z","title_canon_sha256":"b8c177b5f3723675964f5b99c59a9500185682704be774ed9cf80cd47a56b099"},"schema_version":"1.0","source":{"id":"1512.03932","kind":"arxiv","version":1}},"canonical_sha256":"c1a19712cb7c48a5d239870c9ce86621513b7992c6c7e677724442809bd6fb4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1a19712cb7c48a5d239870c9ce86621513b7992c6c7e677724442809bd6fb4e","first_computed_at":"2026-05-18T01:24:23.566295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:23.566295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BkVjJfzGtmdFThG/0Zz4/nEmQoAO/fHBYI7p+9oLBQLoFig0nHeJSjzMbEApeAeJumGEy0f0EO25i7x2AqI7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:23.566966Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.03932","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:256fa6f068b16f89090599ff3e80136d78cc3e0f8436c24503796f9e1a66fb83","sha256:666d1791d513a08b34ebc42d9aef057c9442dcbc130a615b60fcfbb1bc4440c3"],"state_sha256":"c0c2e5b4a237261c1be91a96647cc1ffbc579ebd1735b834db9e18385dcb1e5f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xxtTlj0LpBWFRL07uclKkwFVNUQlwVOozNdBkpcNb2rVGnR46uD0OaqsOBJZtmz/7w3siWAv+Q2ObcXKg8tuAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T07:53:40.871861Z","bundle_sha256":"42ade104d4b0eafbcf724c4c62dcbc1398ee4cf1f89b2dc0562a1a8d620353b6"}}