{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:A66X3GMACR25ABFSBXRS7YK7VA","short_pith_number":"pith:A66X3GMA","canonical_record":{"source":{"id":"1707.08213","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-25T20:48:46Z","cross_cats_sorted":["stat.CO","stat.ML"],"title_canon_sha256":"2482a0b38858a01e937bfd1aede45a4624b06860f2f81c11e1ab3a46612d206b","abstract_canon_sha256":"96fb489fe157ec0f9243ea4cd5f76d2ffd60b477698a48990e0be7b7e61c281e"},"schema_version":"1.0"},"canonical_sha256":"07bd7d99801475d004b20de32fe15fa816a92189fc1efede14b110717d6393cc","source":{"kind":"arxiv","id":"1707.08213","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08213","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08213v2","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08213","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"A66X3GMACR25","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"A66X3GMACR25ABFS","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"A66X3GMA","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:A66X3GMACR25ABFSBXRS7YK7VA","target":"record","payload":{"canonical_record":{"source":{"id":"1707.08213","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-25T20:48:46Z","cross_cats_sorted":["stat.CO","stat.ML"],"title_canon_sha256":"2482a0b38858a01e937bfd1aede45a4624b06860f2f81c11e1ab3a46612d206b","abstract_canon_sha256":"96fb489fe157ec0f9243ea4cd5f76d2ffd60b477698a48990e0be7b7e61c281e"},"schema_version":"1.0"},"canonical_sha256":"07bd7d99801475d004b20de32fe15fa816a92189fc1efede14b110717d6393cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:29.466724Z","signature_b64":"zXvSp7HYL+L67AlFtry6AbNBnnWrcpV/QqyXwtvkgz0+Eu5qmkwLYjshmvYkhNFf40qMHPtcCpS6kEjBHslSAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07bd7d99801475d004b20de32fe15fa816a92189fc1efede14b110717d6393cc","last_reissued_at":"2026-05-17T23:52:29.466333Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:29.466333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.08213","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:52:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Uk/qtprjHTCcFMncMd58v32FshMi/eEZaSjwpVnwvVPTQYZfj/cbYIcpOJjHmS7hpkNGDes7VwHO4G2ife2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:25:15.813289Z"},"content_sha256":"9b4c541c483fb72ab0cb6b7894a4cabbeb7fde3dc28665a8f364ae8ed57ff7f1","schema_version":"1.0","event_id":"sha256:9b4c541c483fb72ab0cb6b7894a4cabbeb7fde3dc28665a8f364ae8ed57ff7f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:A66X3GMACR25ABFSBXRS7YK7VA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The 2D Tree Sliding Window Discrete Fourier Transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.CO","stat.ML"],"primary_cat":"cs.DS","authors_text":"Lee F. Richardson, William F. Eddy","submitted_at":"2017-07-25T20:48:46Z","abstract_excerpt":"We present a new algorithm for the 2D Sliding Window Discrete Fourier Transform (SWDFT). Our algorithm avoids repeating calculations in overlapping windows by storing them in a tree data-structure based on the ideas of the Cooley- Tukey Fast Fourier Transform (FFT). For an $N_0 \\times N_1$ array and $n_0 \\times n_1$ windows, our algorithm takes $O(N_0 N_1 n_0 n_1)$ operations. We provide a C implementation of our algorithm for the Radix-2 case, compare ours with existing algorithms, and show how our algorithm easily extends to higher dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08213","kind":"arxiv","version":2},"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":"2026-05-17T23:52:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ht/hFbI0CGr+kwcUY8ClBBixzjPDfsYKLUpi0mPNd98zOfhtWdDxoiWs16Yy7MXhvO0pljJIINIWhsNrbd/XCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:25:15.814050Z"},"content_sha256":"625bd2fc07e89ad4c1c1322d79073e8cd2eda00f1b4a2ad0c25767255ad6deee","schema_version":"1.0","event_id":"sha256:625bd2fc07e89ad4c1c1322d79073e8cd2eda00f1b4a2ad0c25767255ad6deee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A66X3GMACR25ABFSBXRS7YK7VA/bundle.json","state_url":"https://pith.science/pith/A66X3GMACR25ABFSBXRS7YK7VA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A66X3GMACR25ABFSBXRS7YK7VA/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":"2026-06-11T21:25:15Z","links":{"resolver":"https://pith.science/pith/A66X3GMACR25ABFSBXRS7YK7VA","bundle":"https://pith.science/pith/A66X3GMACR25ABFSBXRS7YK7VA/bundle.json","state":"https://pith.science/pith/A66X3GMACR25ABFSBXRS7YK7VA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A66X3GMACR25ABFSBXRS7YK7VA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:A66X3GMACR25ABFSBXRS7YK7VA","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":"96fb489fe157ec0f9243ea4cd5f76d2ffd60b477698a48990e0be7b7e61c281e","cross_cats_sorted":["stat.CO","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-25T20:48:46Z","title_canon_sha256":"2482a0b38858a01e937bfd1aede45a4624b06860f2f81c11e1ab3a46612d206b"},"schema_version":"1.0","source":{"id":"1707.08213","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08213","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08213v2","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08213","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"A66X3GMACR25","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"A66X3GMACR25ABFS","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"A66X3GMA","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:625bd2fc07e89ad4c1c1322d79073e8cd2eda00f1b4a2ad0c25767255ad6deee","target":"graph","created_at":"2026-05-17T23:52:29Z","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":"We present a new algorithm for the 2D Sliding Window Discrete Fourier Transform (SWDFT). Our algorithm avoids repeating calculations in overlapping windows by storing them in a tree data-structure based on the ideas of the Cooley- Tukey Fast Fourier Transform (FFT). For an $N_0 \\times N_1$ array and $n_0 \\times n_1$ windows, our algorithm takes $O(N_0 N_1 n_0 n_1)$ operations. We provide a C implementation of our algorithm for the Radix-2 case, compare ours with existing algorithms, and show how our algorithm easily extends to higher dimensions.","authors_text":"Lee F. Richardson, William F. Eddy","cross_cats":["stat.CO","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-25T20:48:46Z","title":"The 2D Tree Sliding Window Discrete Fourier Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08213","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":"sha256:9b4c541c483fb72ab0cb6b7894a4cabbeb7fde3dc28665a8f364ae8ed57ff7f1","target":"record","created_at":"2026-05-17T23:52:29Z","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":"96fb489fe157ec0f9243ea4cd5f76d2ffd60b477698a48990e0be7b7e61c281e","cross_cats_sorted":["stat.CO","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-07-25T20:48:46Z","title_canon_sha256":"2482a0b38858a01e937bfd1aede45a4624b06860f2f81c11e1ab3a46612d206b"},"schema_version":"1.0","source":{"id":"1707.08213","kind":"arxiv","version":2}},"canonical_sha256":"07bd7d99801475d004b20de32fe15fa816a92189fc1efede14b110717d6393cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07bd7d99801475d004b20de32fe15fa816a92189fc1efede14b110717d6393cc","first_computed_at":"2026-05-17T23:52:29.466333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:29.466333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zXvSp7HYL+L67AlFtry6AbNBnnWrcpV/QqyXwtvkgz0+Eu5qmkwLYjshmvYkhNFf40qMHPtcCpS6kEjBHslSAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:29.466724Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08213","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b4c541c483fb72ab0cb6b7894a4cabbeb7fde3dc28665a8f364ae8ed57ff7f1","sha256:625bd2fc07e89ad4c1c1322d79073e8cd2eda00f1b4a2ad0c25767255ad6deee"],"state_sha256":"733d886ae9afaab19ce806f744060615e59d1adaa86d6a4657745c22d190e899"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LUIGblLHUCIoJ7ayKxA1nSCdFBzv595T8lusTRxRElsUI3pgwJznlTgZOyAz7yP7KhepVsIu1yCUE7bkqoRXBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T21:25:15.818358Z","bundle_sha256":"7dc20d82d8ceed3633ff5e0f775ab080b4eb4ba7024b09f062d553663db75d53"}}