{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:KLY7BTWMLTVEAXBRMRMYOFDR5H","short_pith_number":"pith:KLY7BTWM","canonical_record":{"source":{"id":"quant-ph/0201120","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-01-26T00:58:42Z","cross_cats_sorted":[],"title_canon_sha256":"c1486726c55ee917b790e9b03577864f3a062b9141a45cb5bbadf683ee667ed0","abstract_canon_sha256":"8efdf733e7499168196119b2e126b65a9738ffa66671bbf91f3e47702ec48a26"},"schema_version":"1.0"},"canonical_sha256":"52f1f0cecc5cea405c316459871471e9ebf5f85f3d631b0b1356eb61dedfb8b7","source":{"kind":"arxiv","id":"quant-ph/0201120","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0201120","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0201120v1","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0201120","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"KLY7BTWMLTVE","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"KLY7BTWMLTVEAXBR","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"KLY7BTWM","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:KLY7BTWMLTVEAXBRMRMYOFDR5H","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0201120","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-01-26T00:58:42Z","cross_cats_sorted":[],"title_canon_sha256":"c1486726c55ee917b790e9b03577864f3a062b9141a45cb5bbadf683ee667ed0","abstract_canon_sha256":"8efdf733e7499168196119b2e126b65a9738ffa66671bbf91f3e47702ec48a26"},"schema_version":"1.0"},"canonical_sha256":"52f1f0cecc5cea405c316459871471e9ebf5f85f3d631b0b1356eb61dedfb8b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:02.172216Z","signature_b64":"iLh3h76qY/coAH4eY4akpUNWFHKWAuK1+Lqu1axH5N89mez0qB8E581RrFIhfMH1of2Wd0ZSn0jVuvSsn+2wBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52f1f0cecc5cea405c316459871471e9ebf5f85f3d631b0b1356eb61dedfb8b7","last_reissued_at":"2026-05-18T01:38:02.171452Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:02.171452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0201120","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":"2026-05-18T01:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tfm6UkKcAD6D56S8ZuxuOU55mRfI6s/a3QQyZW5HnFAAkuTZUmC9tB+BBA/JnHBwBBQbSMlIKaLBUxoE94BFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:31:56.431839Z"},"content_sha256":"b2d67a17899a4c5e16b7269ccac18d034d0e58a5cc3d4a14d58a4f3ca25e7af6","schema_version":"1.0","event_id":"sha256:b2d67a17899a4c5e16b7269ccac18d034d0e58a5cc3d4a14d58a4f3ca25e7af6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:KLY7BTWMLTVEAXBRMRMYOFDR5H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Computing and a Unified Approach to Fast Unitary Transforms","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"(2) Texas A&M University), Andreas Klappenecker (2) ((1) UT San Antonio, CUNY, Sos S. Agaian (1)","submitted_at":"2002-01-26T00:58:42Z","abstract_excerpt":"A quantum computer directly manipulates information stored in the state of quantum mechanical systems. The available operations have many attractive features but also underly severe restrictions, which complicate the design of quantum algorithms. We present a divide-and-conquer approach to the design of various quantum algorithms. The class of algorithm includes many transforms which are well-known in classical signal processing applications. We show how fast quantum algorithms can be derived for the discrete Fourier transform, the Walsh-Hadamard transform, the Slant transform, and the Hartley"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0201120","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":"2026-05-18T01:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TlZ+erNQPqrrIP4aIpppHOvkSx11H2UdF/mTIFjac7UY/BqwRRhoGBT5f4UXm1PWT7rY3AVCbHRocuTA6KKfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:31:56.432508Z"},"content_sha256":"99f04f465ba3f7e5e41b5308d3e4e53747739031d0126e7fc80d00db4942cb1b","schema_version":"1.0","event_id":"sha256:99f04f465ba3f7e5e41b5308d3e4e53747739031d0126e7fc80d00db4942cb1b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KLY7BTWMLTVEAXBRMRMYOFDR5H/bundle.json","state_url":"https://pith.science/pith/KLY7BTWMLTVEAXBRMRMYOFDR5H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KLY7BTWMLTVEAXBRMRMYOFDR5H/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":"2026-06-07T21:31:56Z","links":{"resolver":"https://pith.science/pith/KLY7BTWMLTVEAXBRMRMYOFDR5H","bundle":"https://pith.science/pith/KLY7BTWMLTVEAXBRMRMYOFDR5H/bundle.json","state":"https://pith.science/pith/KLY7BTWMLTVEAXBRMRMYOFDR5H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KLY7BTWMLTVEAXBRMRMYOFDR5H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:KLY7BTWMLTVEAXBRMRMYOFDR5H","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":"8efdf733e7499168196119b2e126b65a9738ffa66671bbf91f3e47702ec48a26","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-01-26T00:58:42Z","title_canon_sha256":"c1486726c55ee917b790e9b03577864f3a062b9141a45cb5bbadf683ee667ed0"},"schema_version":"1.0","source":{"id":"quant-ph/0201120","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0201120","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0201120v1","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0201120","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"KLY7BTWMLTVE","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"KLY7BTWMLTVEAXBR","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"KLY7BTWM","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:99f04f465ba3f7e5e41b5308d3e4e53747739031d0126e7fc80d00db4942cb1b","target":"graph","created_at":"2026-05-18T01:38:02Z","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":"A quantum computer directly manipulates information stored in the state of quantum mechanical systems. The available operations have many attractive features but also underly severe restrictions, which complicate the design of quantum algorithms. We present a divide-and-conquer approach to the design of various quantum algorithms. The class of algorithm includes many transforms which are well-known in classical signal processing applications. We show how fast quantum algorithms can be derived for the discrete Fourier transform, the Walsh-Hadamard transform, the Slant transform, and the Hartley","authors_text":"(2) Texas A&M University), Andreas Klappenecker (2) ((1) UT San Antonio, CUNY, Sos S. Agaian (1)","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2002-01-26T00:58:42Z","title":"Quantum Computing and a Unified Approach to Fast Unitary Transforms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0201120","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:b2d67a17899a4c5e16b7269ccac18d034d0e58a5cc3d4a14d58a4f3ca25e7af6","target":"record","created_at":"2026-05-18T01:38:02Z","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":"8efdf733e7499168196119b2e126b65a9738ffa66671bbf91f3e47702ec48a26","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-01-26T00:58:42Z","title_canon_sha256":"c1486726c55ee917b790e9b03577864f3a062b9141a45cb5bbadf683ee667ed0"},"schema_version":"1.0","source":{"id":"quant-ph/0201120","kind":"arxiv","version":1}},"canonical_sha256":"52f1f0cecc5cea405c316459871471e9ebf5f85f3d631b0b1356eb61dedfb8b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52f1f0cecc5cea405c316459871471e9ebf5f85f3d631b0b1356eb61dedfb8b7","first_computed_at":"2026-05-18T01:38:02.171452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:02.171452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iLh3h76qY/coAH4eY4akpUNWFHKWAuK1+Lqu1axH5N89mez0qB8E581RrFIhfMH1of2Wd0ZSn0jVuvSsn+2wBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:02.172216Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0201120","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2d67a17899a4c5e16b7269ccac18d034d0e58a5cc3d4a14d58a4f3ca25e7af6","sha256:99f04f465ba3f7e5e41b5308d3e4e53747739031d0126e7fc80d00db4942cb1b"],"state_sha256":"d85b340ec269046f51f51e9f94109e51821f3c45173214b0f476170da3101cbb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"boVQdn3FmegeyN1I5ii/bQPYRKXqnAhrTGZt9uemz/U9xu0ma7Tman8fuJRicvtM8EaNPWpuS8Xu1BCQOKQpDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:31:56.436353Z","bundle_sha256":"16aa26218acb437cb50846a66f57af94974f5ab7c02d025883c10d38954a5651"}}