{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:X5BANZPPSXM6XWJBYR45RGM3D3","short_pith_number":"pith:X5BANZPP","canonical_record":{"source":{"id":"1107.4617","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2011-07-22T20:18:16Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"aa260b36cd534a0b07535691eeaea72b312b408639dd6b18252742f29940260b","abstract_canon_sha256":"5dfe3d848f511438405117152dcc3fdbc78301b3bc279986e969da53a1315592"},"schema_version":"1.0"},"canonical_sha256":"bf4206e5ef95d9ebd921c479d8999b1ec75d32d78987f60f217b4a3028ae4336","source":{"kind":"arxiv","id":"1107.4617","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4617","created_at":"2026-05-18T00:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4617v4","created_at":"2026-05-18T00:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4617","created_at":"2026-05-18T00:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"X5BANZPPSXM6","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X5BANZPPSXM6XWJB","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X5BANZPP","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:X5BANZPPSXM6XWJBYR45RGM3D3","target":"record","payload":{"canonical_record":{"source":{"id":"1107.4617","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2011-07-22T20:18:16Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"aa260b36cd534a0b07535691eeaea72b312b408639dd6b18252742f29940260b","abstract_canon_sha256":"5dfe3d848f511438405117152dcc3fdbc78301b3bc279986e969da53a1315592"},"schema_version":"1.0"},"canonical_sha256":"bf4206e5ef95d9ebd921c479d8999b1ec75d32d78987f60f217b4a3028ae4336","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:43.385266Z","signature_b64":"tzFExwEhCLBa4n3C0nu4sKdCWAniNtVyPqneD/XawJQtIzwi6qAq6FfyRGvxBAFhjqJSZJ07ow/v5HYocGJlDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf4206e5ef95d9ebd921c479d8999b1ec75d32d78987f60f217b4a3028ae4336","last_reissued_at":"2026-05-18T00:58:43.384645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:43.384645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.4617","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:58:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gpkpvsUZuyoN//rQY1QSevijic7clmzjnS+dcpWFPkxxyE2wNEAIcuHzE3SqBzbHzm9OqP0tY3rvxWP9jP1XDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T02:38:19.200359Z"},"content_sha256":"cc5ec8e1f185fc592bedd7570e83b29b406eb28ef6fe177921232b1d5c4e6091","schema_version":"1.0","event_id":"sha256:cc5ec8e1f185fc592bedd7570e83b29b406eb28ef6fe177921232b1d5c4e6091"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:X5BANZPPSXM6XWJBYR45RGM3D3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constant-time filtering using shiftable kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.CV","authors_text":"Kunal Narayan Chaudhury","submitted_at":"2011-07-22T20:18:16Z","abstract_excerpt":"It was recently demonstrated in [5] that the non-linear bilateral filter [14] can be efficiently implemented using a constant-time or O(1) algorithm. At the heart of this algorithm was the idea of approximating the Gaussian range kernel of the bilateral filter using trigonometric functions. In this letter, we explain how the idea in [5] can be extended to few other linear and non-linear filters [14, 17, 2]. While some of these filters have received a lot of attention in recent years, they are known to be computationally intensive. To extend the idea in [5], we identify a central property of tr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4617","kind":"arxiv","version":4},"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":"2026-05-18T00:58:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HF7VOWDtc8RpErEcpuv8IwfaK4Swzx48Q/zFRVF0OgnRjj72zp/eswWxpW4MV5UdLuXG40nJPYRKmMwmW5pACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T02:38:19.201000Z"},"content_sha256":"2aefa2eeb7d97e61aafb55fb2b2b5143b150127111d6e713fc4b0e6451ac93d0","schema_version":"1.0","event_id":"sha256:2aefa2eeb7d97e61aafb55fb2b2b5143b150127111d6e713fc4b0e6451ac93d0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X5BANZPPSXM6XWJBYR45RGM3D3/bundle.json","state_url":"https://pith.science/pith/X5BANZPPSXM6XWJBYR45RGM3D3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X5BANZPPSXM6XWJBYR45RGM3D3/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":"2026-05-20T02:38:19Z","links":{"resolver":"https://pith.science/pith/X5BANZPPSXM6XWJBYR45RGM3D3","bundle":"https://pith.science/pith/X5BANZPPSXM6XWJBYR45RGM3D3/bundle.json","state":"https://pith.science/pith/X5BANZPPSXM6XWJBYR45RGM3D3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X5BANZPPSXM6XWJBYR45RGM3D3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:X5BANZPPSXM6XWJBYR45RGM3D3","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":"5dfe3d848f511438405117152dcc3fdbc78301b3bc279986e969da53a1315592","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2011-07-22T20:18:16Z","title_canon_sha256":"aa260b36cd534a0b07535691eeaea72b312b408639dd6b18252742f29940260b"},"schema_version":"1.0","source":{"id":"1107.4617","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4617","created_at":"2026-05-18T00:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4617v4","created_at":"2026-05-18T00:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4617","created_at":"2026-05-18T00:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"X5BANZPPSXM6","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X5BANZPPSXM6XWJB","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X5BANZPP","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:2aefa2eeb7d97e61aafb55fb2b2b5143b150127111d6e713fc4b0e6451ac93d0","target":"graph","created_at":"2026-05-18T00:58:43Z","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":"It was recently demonstrated in [5] that the non-linear bilateral filter [14] can be efficiently implemented using a constant-time or O(1) algorithm. At the heart of this algorithm was the idea of approximating the Gaussian range kernel of the bilateral filter using trigonometric functions. In this letter, we explain how the idea in [5] can be extended to few other linear and non-linear filters [14, 17, 2]. While some of these filters have received a lot of attention in recent years, they are known to be computationally intensive. To extend the idea in [5], we identify a central property of tr","authors_text":"Kunal Narayan Chaudhury","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2011-07-22T20:18:16Z","title":"Constant-time filtering using shiftable kernels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4617","kind":"arxiv","version":4},"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:cc5ec8e1f185fc592bedd7570e83b29b406eb28ef6fe177921232b1d5c4e6091","target":"record","created_at":"2026-05-18T00:58:43Z","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":"5dfe3d848f511438405117152dcc3fdbc78301b3bc279986e969da53a1315592","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2011-07-22T20:18:16Z","title_canon_sha256":"aa260b36cd534a0b07535691eeaea72b312b408639dd6b18252742f29940260b"},"schema_version":"1.0","source":{"id":"1107.4617","kind":"arxiv","version":4}},"canonical_sha256":"bf4206e5ef95d9ebd921c479d8999b1ec75d32d78987f60f217b4a3028ae4336","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf4206e5ef95d9ebd921c479d8999b1ec75d32d78987f60f217b4a3028ae4336","first_computed_at":"2026-05-18T00:58:43.384645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:43.384645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tzFExwEhCLBa4n3C0nu4sKdCWAniNtVyPqneD/XawJQtIzwi6qAq6FfyRGvxBAFhjqJSZJ07ow/v5HYocGJlDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:43.385266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4617","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc5ec8e1f185fc592bedd7570e83b29b406eb28ef6fe177921232b1d5c4e6091","sha256:2aefa2eeb7d97e61aafb55fb2b2b5143b150127111d6e713fc4b0e6451ac93d0"],"state_sha256":"a4cbd4c514e03fa97a43842ad2c52bb9836817f04c15c39b97839e712d4d5883"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"85Wh0YGoQ2QacSicFQTiI8wi562Eh8QAq8YBQo/I0N62RQUow1xTPmyYIiDqJSIytad4fonfYzd+wvBYktZgDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T02:38:19.204618Z","bundle_sha256":"c29b5867010ee68b2e7a1fdb6785d177b0c2729891261f2a6db7ecbb6307cff0"}}