{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:YZID65UM2RHXPL6J4EUAOQE2DL","short_pith_number":"pith:YZID65UM","canonical_record":{"source":{"id":"2404.06052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-09T06:30:54Z","cross_cats_sorted":[],"title_canon_sha256":"8c87a27e6edfbc498c25ff9aa7db9d79fb502b5435bd94ed0aea5ca1e98c5336","abstract_canon_sha256":"f5f5cdc8148e17b3f7f92909347977fa40ea83fa268eb4713725c883bafa810b"},"schema_version":"1.0"},"canonical_sha256":"c6503f768cd44f77afc9e12807409a1af767fd0e98c7eda507f733202933fd6a","source":{"kind":"arxiv","id":"2404.06052","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.06052","created_at":"2026-07-05T08:06:03Z"},{"alias_kind":"arxiv_version","alias_value":"2404.06052v1","created_at":"2026-07-05T08:06:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.06052","created_at":"2026-07-05T08:06:03Z"},{"alias_kind":"pith_short_12","alias_value":"YZID65UM2RHX","created_at":"2026-07-05T08:06:03Z"},{"alias_kind":"pith_short_16","alias_value":"YZID65UM2RHXPL6J","created_at":"2026-07-05T08:06:03Z"},{"alias_kind":"pith_short_8","alias_value":"YZID65UM","created_at":"2026-07-05T08:06:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:YZID65UM2RHXPL6J4EUAOQE2DL","target":"record","payload":{"canonical_record":{"source":{"id":"2404.06052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-09T06:30:54Z","cross_cats_sorted":[],"title_canon_sha256":"8c87a27e6edfbc498c25ff9aa7db9d79fb502b5435bd94ed0aea5ca1e98c5336","abstract_canon_sha256":"f5f5cdc8148e17b3f7f92909347977fa40ea83fa268eb4713725c883bafa810b"},"schema_version":"1.0"},"canonical_sha256":"c6503f768cd44f77afc9e12807409a1af767fd0e98c7eda507f733202933fd6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:06:03.036607Z","signature_b64":"OmpuNLDSqqUbH+G/J9a5NABPd2aGOBI370ikszizuu89QJqKbnPUAvE+F5Ri7EESso02Utn9kwvQxFj5+IpxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6503f768cd44f77afc9e12807409a1af767fd0e98c7eda507f733202933fd6a","last_reissued_at":"2026-07-05T08:06:03.036096Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:06:03.036096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.06052","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":"2026-07-05T08:06:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/AxQrvbahs4Bxw4o5LOa//O5Y60GG4XxzFXpnI0H7GMU8cyem67a3AcIIjWefPHLMCk2vPKmElO0znp4UgEICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:52:43.516171Z"},"content_sha256":"7e498f6bbeb01ba15236cce5e780b640aa1d16b8794ca90f0125c0d0ebcf0489","schema_version":"1.0","event_id":"sha256:7e498f6bbeb01ba15236cce5e780b640aa1d16b8794ca90f0125c0d0ebcf0489"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:YZID65UM2RHXPL6J4EUAOQE2DL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shallow Quantum Circuit Implementation of Symmetric Functions with Limited Ancillary Qubits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Junhong Nie, Wei Zi, Xiaoming Sun","submitted_at":"2024-04-09T06:30:54Z","abstract_excerpt":"In quantum computation, optimizing depth and number of ancillary qubits in quantum circuits is crucial due to constraints imposed by current quantum devices. This paper presents an innovative approach to implementing arbitrary symmetric Boolean functions using poly-logarithmic depth quantum circuits with logarithmic number of ancillary qubits. Symmetric functions are those whose outputs rely solely on the Hamming weight of the inputs. These functions find applications across diverse domains, including quantum machine learning, arithmetic circuit synthesis, and quantum algorithm design (e.g., G"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.06052","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.06052/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":"2026-07-05T08:06:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6QyN3bxGLSzCM+ixxEDuvZ7igXavrM7ucXk3vtXChT1XDMd7Z1PCRN5v90sUKdWhWXVuq+/TIvWx8p7AHNaaAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:52:43.517652Z"},"content_sha256":"042e8e6f89945b5d72fef0be3a7ca36579cbcc51543e28a916f7022a42a3a004","schema_version":"1.0","event_id":"sha256:042e8e6f89945b5d72fef0be3a7ca36579cbcc51543e28a916f7022a42a3a004"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YZID65UM2RHXPL6J4EUAOQE2DL/bundle.json","state_url":"https://pith.science/pith/YZID65UM2RHXPL6J4EUAOQE2DL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YZID65UM2RHXPL6J4EUAOQE2DL/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":"2026-08-08T15:52:43Z","links":{"resolver":"https://pith.science/pith/YZID65UM2RHXPL6J4EUAOQE2DL","bundle":"https://pith.science/pith/YZID65UM2RHXPL6J4EUAOQE2DL/bundle.json","state":"https://pith.science/pith/YZID65UM2RHXPL6J4EUAOQE2DL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YZID65UM2RHXPL6J4EUAOQE2DL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YZID65UM2RHXPL6J4EUAOQE2DL","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":"f5f5cdc8148e17b3f7f92909347977fa40ea83fa268eb4713725c883bafa810b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-09T06:30:54Z","title_canon_sha256":"8c87a27e6edfbc498c25ff9aa7db9d79fb502b5435bd94ed0aea5ca1e98c5336"},"schema_version":"1.0","source":{"id":"2404.06052","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.06052","created_at":"2026-07-05T08:06:03Z"},{"alias_kind":"arxiv_version","alias_value":"2404.06052v1","created_at":"2026-07-05T08:06:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.06052","created_at":"2026-07-05T08:06:03Z"},{"alias_kind":"pith_short_12","alias_value":"YZID65UM2RHX","created_at":"2026-07-05T08:06:03Z"},{"alias_kind":"pith_short_16","alias_value":"YZID65UM2RHXPL6J","created_at":"2026-07-05T08:06:03Z"},{"alias_kind":"pith_short_8","alias_value":"YZID65UM","created_at":"2026-07-05T08:06:03Z"}],"graph_snapshots":[{"event_id":"sha256:042e8e6f89945b5d72fef0be3a7ca36579cbcc51543e28a916f7022a42a3a004","target":"graph","created_at":"2026-07-05T08:06:03Z","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/2404.06052/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In quantum computation, optimizing depth and number of ancillary qubits in quantum circuits is crucial due to constraints imposed by current quantum devices. This paper presents an innovative approach to implementing arbitrary symmetric Boolean functions using poly-logarithmic depth quantum circuits with logarithmic number of ancillary qubits. Symmetric functions are those whose outputs rely solely on the Hamming weight of the inputs. These functions find applications across diverse domains, including quantum machine learning, arithmetic circuit synthesis, and quantum algorithm design (e.g., G","authors_text":"Junhong Nie, Wei Zi, Xiaoming Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-09T06:30:54Z","title":"Shallow Quantum Circuit Implementation of Symmetric Functions with Limited Ancillary Qubits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.06052","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":"sha256:7e498f6bbeb01ba15236cce5e780b640aa1d16b8794ca90f0125c0d0ebcf0489","target":"record","created_at":"2026-07-05T08:06:03Z","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":"f5f5cdc8148e17b3f7f92909347977fa40ea83fa268eb4713725c883bafa810b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-04-09T06:30:54Z","title_canon_sha256":"8c87a27e6edfbc498c25ff9aa7db9d79fb502b5435bd94ed0aea5ca1e98c5336"},"schema_version":"1.0","source":{"id":"2404.06052","kind":"arxiv","version":1}},"canonical_sha256":"c6503f768cd44f77afc9e12807409a1af767fd0e98c7eda507f733202933fd6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6503f768cd44f77afc9e12807409a1af767fd0e98c7eda507f733202933fd6a","first_computed_at":"2026-07-05T08:06:03.036096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:06:03.036096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OmpuNLDSqqUbH+G/J9a5NABPd2aGOBI370ikszizuu89QJqKbnPUAvE+F5Ri7EESso02Utn9kwvQxFj5+IpxBw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:06:03.036607Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.06052","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e498f6bbeb01ba15236cce5e780b640aa1d16b8794ca90f0125c0d0ebcf0489","sha256:042e8e6f89945b5d72fef0be3a7ca36579cbcc51543e28a916f7022a42a3a004"],"state_sha256":"f34784accee7133b72dfbb9433de173e39a8305070a0f02abac7c2d5b9554ed5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DNYOjmAF7Av8UHQVQ8RLd3Lh8HhJbSRyN4xUqLdFc26d+HUO/qCV4NkJ8clWp6BNFgeKZit8CXFtLjcINm01Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T15:52:43.524478Z","bundle_sha256":"ce34d09f0e833435f0cc935e572576fffaf2d431f7921f02318a341bf2423f76"}}