{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:ETH4MMOGZHJICKDZSLUDCSZX4F","short_pith_number":"pith:ETH4MMOG","canonical_record":{"source":{"id":"2305.04069","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-05-06T15:19:52Z","cross_cats_sorted":[],"title_canon_sha256":"4ec22ec1fafba9f847a5cf12cf6a95acefe3a05e815ee60ac2d71ee89e1d521b","abstract_canon_sha256":"140fc789feb2daacab1c77daf2dd44967d85a19db5040f38e2db5b20abd3bd24"},"schema_version":"1.0"},"canonical_sha256":"24cfc631c6c9d281287992e8314b37e14ba21018df6560feab414d0d779680bd","source":{"kind":"arxiv","id":"2305.04069","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.04069","created_at":"2026-07-05T07:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"2305.04069v3","created_at":"2026-07-05T07:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.04069","created_at":"2026-07-05T07:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"ETH4MMOGZHJI","created_at":"2026-07-05T07:43:52Z"},{"alias_kind":"pith_short_16","alias_value":"ETH4MMOGZHJICKDZ","created_at":"2026-07-05T07:43:52Z"},{"alias_kind":"pith_short_8","alias_value":"ETH4MMOG","created_at":"2026-07-05T07:43:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:ETH4MMOGZHJICKDZSLUDCSZX4F","target":"record","payload":{"canonical_record":{"source":{"id":"2305.04069","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-05-06T15:19:52Z","cross_cats_sorted":[],"title_canon_sha256":"4ec22ec1fafba9f847a5cf12cf6a95acefe3a05e815ee60ac2d71ee89e1d521b","abstract_canon_sha256":"140fc789feb2daacab1c77daf2dd44967d85a19db5040f38e2db5b20abd3bd24"},"schema_version":"1.0"},"canonical_sha256":"24cfc631c6c9d281287992e8314b37e14ba21018df6560feab414d0d779680bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:43:52.482516Z","signature_b64":"lu5qmS7d8XRTia101+dju0rvjDXMSxHvKpfcKifgxRhC8rDAi2Z6dkwII5zPE3eWHcltlqJYwIFlHxrBZkyXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24cfc631c6c9d281287992e8314b37e14ba21018df6560feab414d0d779680bd","last_reissued_at":"2026-07-05T07:43:52.482076Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:43:52.482076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.04069","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:43:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yg/3LhIWK7NXE2s+9q+IrWIo0dNFkdvEMZDLUYU4sq6rRM2OxAvyHAXdX3yoT5IVjoXwlxtpuZMJcbU7b5QrCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:35:22.261446Z"},"content_sha256":"f414988f164b86c162283fa74b998d0827078c742ea6f2e3c1e0af93582daef2","schema_version":"1.0","event_id":"sha256:f414988f164b86c162283fa74b998d0827078c742ea6f2e3c1e0af93582daef2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:ETH4MMOGZHJICKDZSLUDCSZX4F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalised Coupling and An Elementary Algorithm for the Quantum Schur Transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Adam Wills, Sergii Strelchuk","submitted_at":"2023-05-06T15:19:52Z","abstract_excerpt":"The quantum Schur transform is a fundamental building block that maps the computational basis to a coupled basis consisting of irreducible representations of the unitary and symmetric groups. Equivalently, it may be regarded as a change of basis from the computational basis to a simultaneous spin eigenbasis of Permutational Quantum Computing (PQC) [Quantum Inf. Comput., 10, 470-497 (2010)]. By adopting the latter perspective, we present a transparent algorithm for implementing the qubit quantum Schur transform which uses $O(\\log(n))$ ancillas and can be decomposed into a sequence of $O(n^3\\log"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.04069","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.04069/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:43:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T52wuGY4Akm8kcS10qtKHX6YfmZTD2zt8jzTEWf1YZcUH/LbRyV6o5gOH7wbohr571Zn0cr7MIcnw8ouJBSgBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:35:22.262218Z"},"content_sha256":"760316b735f3c99d24f2ee6868887fa5a681176865b0085d8df3dd97ab15a981","schema_version":"1.0","event_id":"sha256:760316b735f3c99d24f2ee6868887fa5a681176865b0085d8df3dd97ab15a981"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ETH4MMOGZHJICKDZSLUDCSZX4F/bundle.json","state_url":"https://pith.science/pith/ETH4MMOGZHJICKDZSLUDCSZX4F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ETH4MMOGZHJICKDZSLUDCSZX4F/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":"2026-08-04T07:35:22Z","links":{"resolver":"https://pith.science/pith/ETH4MMOGZHJICKDZSLUDCSZX4F","bundle":"https://pith.science/pith/ETH4MMOGZHJICKDZSLUDCSZX4F/bundle.json","state":"https://pith.science/pith/ETH4MMOGZHJICKDZSLUDCSZX4F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ETH4MMOGZHJICKDZSLUDCSZX4F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ETH4MMOGZHJICKDZSLUDCSZX4F","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":"140fc789feb2daacab1c77daf2dd44967d85a19db5040f38e2db5b20abd3bd24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-05-06T15:19:52Z","title_canon_sha256":"4ec22ec1fafba9f847a5cf12cf6a95acefe3a05e815ee60ac2d71ee89e1d521b"},"schema_version":"1.0","source":{"id":"2305.04069","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.04069","created_at":"2026-07-05T07:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"2305.04069v3","created_at":"2026-07-05T07:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.04069","created_at":"2026-07-05T07:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"ETH4MMOGZHJI","created_at":"2026-07-05T07:43:52Z"},{"alias_kind":"pith_short_16","alias_value":"ETH4MMOGZHJICKDZ","created_at":"2026-07-05T07:43:52Z"},{"alias_kind":"pith_short_8","alias_value":"ETH4MMOG","created_at":"2026-07-05T07:43:52Z"}],"graph_snapshots":[{"event_id":"sha256:760316b735f3c99d24f2ee6868887fa5a681176865b0085d8df3dd97ab15a981","target":"graph","created_at":"2026-07-05T07:43:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2305.04069/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The quantum Schur transform is a fundamental building block that maps the computational basis to a coupled basis consisting of irreducible representations of the unitary and symmetric groups. Equivalently, it may be regarded as a change of basis from the computational basis to a simultaneous spin eigenbasis of Permutational Quantum Computing (PQC) [Quantum Inf. Comput., 10, 470-497 (2010)]. By adopting the latter perspective, we present a transparent algorithm for implementing the qubit quantum Schur transform which uses $O(\\log(n))$ ancillas and can be decomposed into a sequence of $O(n^3\\log","authors_text":"Adam Wills, Sergii Strelchuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-05-06T15:19:52Z","title":"Generalised Coupling and An Elementary Algorithm for the Quantum Schur Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.04069","kind":"arxiv","version":3},"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:f414988f164b86c162283fa74b998d0827078c742ea6f2e3c1e0af93582daef2","target":"record","created_at":"2026-07-05T07:43:52Z","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":"140fc789feb2daacab1c77daf2dd44967d85a19db5040f38e2db5b20abd3bd24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-05-06T15:19:52Z","title_canon_sha256":"4ec22ec1fafba9f847a5cf12cf6a95acefe3a05e815ee60ac2d71ee89e1d521b"},"schema_version":"1.0","source":{"id":"2305.04069","kind":"arxiv","version":3}},"canonical_sha256":"24cfc631c6c9d281287992e8314b37e14ba21018df6560feab414d0d779680bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24cfc631c6c9d281287992e8314b37e14ba21018df6560feab414d0d779680bd","first_computed_at":"2026-07-05T07:43:52.482076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:43:52.482076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lu5qmS7d8XRTia101+dju0rvjDXMSxHvKpfcKifgxRhC8rDAi2Z6dkwII5zPE3eWHcltlqJYwIFlHxrBZkyXCw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:43:52.482516Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.04069","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f414988f164b86c162283fa74b998d0827078c742ea6f2e3c1e0af93582daef2","sha256:760316b735f3c99d24f2ee6868887fa5a681176865b0085d8df3dd97ab15a981"],"state_sha256":"df9f31efd86c9df7f643bf192798d103f853cd9d4d6c06dedc567598a90a3d62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZnKj4cGVjfYvFx6vQ31OX5/SvSxnkfcbVSPyAsSHZQ8685MoCG7AmkbIm+iEK0yV0My8jmQ3hnyAvwUYw159Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T07:35:22.270855Z","bundle_sha256":"e931770a31b7fea11c5e5f3f8f3e9bd89958bcf8ddb43797bfa4a5e1b95f6ddc"}}