{"as_of":"2026-08-12T18:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1e85a3bdc87ac12f9b25ee28bb0b45f517e4aa5c1b3a5aae15d6efae85e10ed6","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:27:49.128124Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2507.00400/citation-record","integrity":"/paper/2507.00400/integrity","json":"/paper/2507.00400/citation-record.json","paper":"/paper/2507.00400"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:48.716122Z","title":"Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:48.716122Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:ada8206a9631f4728b9f2a21e348d7fb11b2bfed1f6aa97a90d1784c1b866a68","observation_id":"f0dc1ec0-75ad-48bd-93ce-60371ab10049","resolution":{"observed_at":"2026-08-06T21:27:48.716122Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:48.828321Z","title":"Quantum approximate optimization algorithm: Performance, mechanism, and im- plementation on near-term devices,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:48.828321Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:51e6855f6d7d386dffbdc5779492e8dd46e0b26e6d44220352e5d90bfd0f8546","observation_id":"4a714d59-7ac3-4d88-9c8d-a12fb83c5521","resolution":{"observed_at":"2026-08-06T21:27:48.828321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.472008Z","title":"Quantum chemistry in the age of quantum computing,","venue":null,"work_id":"305d3017-dce8-4d25-90e8-016ca93c9292","year":2019},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:48.900231Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:f3e1ace6fde66c5dfcd5a873d3be9427e692ebb9984ba16b88923add8828f62f","observation_id":"04c10d92-d74e-40d7-90ae-a95adda0de1f","resolution":{"observed_at":"2026-08-06T21:27:49.476290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.457409Z","title":"Quantum algo- rithms for quantum chemistry and quantum materials science,","venue":null,"work_id":"0c4421d5-a64e-45d7-af6e-a320c0245c86","year":2020},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:48.981085Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:e28e81b6fad0911e81ee4caa64c5d71e139fdcb55fb6634f9e6e1db0033e62e1","observation_id":"c8ac893f-5993-45f6-b014-edcc4d5e5036","resolution":{"observed_at":"2026-08-06T21:27:49.462187Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.048747Z","title":"Quantum computing in the NISQ era and beyond,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.048747Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:f34376e3e572b3253126c5e877fca39e4cbe7695c01b6cd145ef18a5cbb3d9b3","observation_id":"93803aaf-1e36-4437-850b-a74de5a07762","resolution":{"observed_at":"2026-08-06T21:27:49.048747Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.432146Z","title":"Elementary gates for quantum computation,","venue":null,"work_id":"566d1ac4-c962-4841-857f-0374da793de0","year":1995},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.053423Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:9957e25362b5a41abdc3d2b6bd3f320ba230687b0c77d85ff754650f856b34df","observation_id":"ef827c1f-d923-475d-95ff-ec0726a817c2","resolution":{"observed_at":"2026-08-06T21:27:49.436773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.418204Z","title":"Synthesis of quantum-logic circuits,","venue":null,"work_id":"8e2212c2-eee0-4888-8ad2-a48ebc531db2","year":2006},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.058370Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:f5a1eeb9b466993e3803ac404bfb83c197156163900b2e52ff4eb66f236ff4c9","observation_id":"ea012230-813a-499c-ad55-dba3a61d1ced","resolution":{"observed_at":"2026-08-06T21:27:49.422266Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.403678Z","title":"Advantages of using relative-phase toffoli gates with an application to multiple control toffoli optimization,","venue":null,"work_id":"8e866fa5-0263-4451-95bb-fb52bb64f210","year":2016},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.062756Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:46dd151a68ed7c87ed5eb153b569c4187c9368343ef20f39fe773f164ef440c5","observation_id":"ac0863f3-7372-4af1-9fd5-3f97741a04b3","resolution":{"observed_at":"2026-08-06T21:27:49.407985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.389713Z","title":"Quantum circuits for isometries,","venue":null,"work_id":"8d4f2d49-ad65-43e5-b8eb-28562b164601","year":2016},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.066648Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:01dcff57e360700a20e8424c58d5a9af7bb92d253a62722c85d304a82eb09555","observation_id":"f2484269-5634-4634-83e4-c78c9c8d6042","resolution":{"observed_at":"2026-08-06T21:27:49.393802Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.375438Z","title":"De- compositions of n-qubit Toffoli gates with linear circuit complexity,","venue":null,"work_id":"a9f7232d-2160-4296-a757-57cd54f6d554","year":2017},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.070627Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:bd65b3edf42a491a9b33ae968b39164a9fda19132d925d526b792a1083caf42d","observation_id":"a287fc6e-8e49-470a-9b50-cff5ab527f36","resolution":{"observed_at":"2026-08-06T21:27:49.379711Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.361231Z","title":"Linear-depth quantum circuits for multiqubit controlled gates,","venue":null,"work_id":"a8487fc8-c60f-4f47-b86d-3b14ffedf5ec","year":2022},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.074544Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:f7f6094b75c8748cd13a1c9403ca80e960563917439a9ceafb0fa61be402ace0","observation_id":"789e546e-8bb9-4fa3-a29a-1a9ed0f91234","resolution":{"observed_at":"2026-08-06T21:27:49.365507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.344985Z","title":"Circuit decomposition of multi-controlled special unitary single-qubit gates,","venue":null,"work_id":"8c4ff769-2852-4576-8f25-f8e9c44a6e19","year":2023},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.078585Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:5f2c4ca5e30e9c283828944156b73e509c8ce70f55fb153732316ee0b05612c8","observation_id":"da6c7274-0498-4856-8be9-1ae294a89562","resolution":{"observed_at":"2026-08-06T21:27:49.350880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.330144Z","title":"Polylogarithmic-depth controlled-not gates without ancilla qubits,","venue":null,"work_id":"338e84eb-b30f-48f4-b313-3d86e346cf3f","year":2024},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.082723Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:75e3405722276c566b89e937d1765443aede6962c89e96a96f836313a47aede4","observation_id":"16d2ac5c-0f9f-4349-9f14-19fb5d9feab8","resolution":{"observed_at":"2026-08-06T21:27:49.334290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.315837Z","title":"Linear decomposition of approximate multi-controlled single qubit gates,","venue":null,"work_id":"2262fee8-93f3-463e-8d39-54c92c6f92f3","year":2024},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.086616Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:de75d090e4bb2e14df1aa57efacdfb758617e1f2c9bdd315121db4c92e9701f5","observation_id":"07f10e25-12eb-45f6-8b1b-cd14c2767fd3","resolution":{"observed_at":"2026-08-06T21:27:49.320141Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.05053","last_updated":"2024-02-07T17:53:21Z","snapshot_observed_at":"2026-08-12T09:32:51.517362Z","submitted_at":"2024-02-07T17:53:21Z","title":"Quantum circuit for multi-qubit Toffoli gate with optimal resource","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.05053","snapshot_observed_at":"2026-08-06T21:27:49.090741Z","title":"Quantum circuit for multi-qubit toffoli gate with optimal resource,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.090741Z"},"links":{"cited_paper":"/paper/2402.05053","citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:1d3a9b889b67e1c939f2cff3877f11122b01b338f239bfcd8a4a1b58a1c14f60","observation_id":"14ad7af3-9652-45f8-81a2-6ab991cd31b2","resolution":{"observed_at":"2026-08-06T21:27:49.090741Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.301650Z","title":"Rise of conditionally clean ancillae for efficient quantum circuit constructions,","venue":null,"work_id":"9f4404b4-b67b-4bfb-9b21-b1716041aff9","year":2025},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.095525Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:b045621473b6a6f6b9b9d650151064049d73cd403cebd0284a9e53caf9936030","observation_id":"265cb0bd-c8ac-496e-8c7f-9943c07f5b07","resolution":{"observed_at":"2026-08-06T21:27:49.305955Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00086","last_updated":"2021-09-06T11:27:15Z","snapshot_observed_at":"2026-08-11T17:10:31.755544Z","submitted_at":"2021-08-31T21:44:14Z","title":"Measurement-Free Ultrafast Quantum Error Correction by Using Multi-Controlled Gates in Higher-Dimensional State Space","version":2},"cited_work":{"arxiv_id":"2109.00086","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.00086","snapshot_observed_at":"2026-08-06T21:27:49.203548Z","title":"Measurement-Free Ultrafast Quantum Error Correction by Using Multi-Controlled Gates in Higher-Dimensional State Space","venue":"quant-ph","work_id":"c6399726-c304-40a8-8d97-0300a766caae","year":2021},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.099476Z"},"links":{"cited_paper":"/paper/2109.00086","citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:cd81239fde857a4c536db7d038df3ef70d973b0e0dd41e0716bcd26c5eed2d1a","observation_id":"8674fe40-ff4c-4ed1-b8c7-3d2c33f2bcdf","resolution":{"observed_at":"2026-08-06T21:27:49.208652Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.16802","last_updated":"2025-08-01T13:45:21Z","snapshot_observed_at":"2026-08-10T17:07:30.245069Z","submitted_at":"2025-01-28T09:05:49Z","title":"Ancilla-free Quantum Adder with Sublinear Depth","version":2},"cited_work":{"arxiv_id":"2501.16802","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.16802","snapshot_observed_at":"2026-08-06T21:27:49.180732Z","title":"Ancilla-free Quantum Adder with Sublinear Depth","venue":"quant-ph","work_id":"3d27d13a-8b13-4790-acdd-ad152e86d0a2","year":2025},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.103839Z"},"links":{"cited_paper":"/paper/2501.16802","citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:eaf7e3eea7334b75330df7b802992ddf423df7ae05c8357730a7334e43af154f","observation_id":"90ee071b-7749-44f3-a9cd-1deb129d480b","resolution":{"observed_at":"2026-08-06T21:27:49.187188Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.287727Z","title":"Quantum simulation and computing with rydberg-interacting qubits,","venue":null,"work_id":"8b2e78e4-1794-4622-91f3-a1d41369910e","year":2021},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.107938Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:995986a0d520e6d0653d92d5cf0d632a52f18e0cb9079e71f550b2bb05773ec7","observation_id":"65d037f2-84c6-4ce4-a909-a17fc1fab7a4","resolution":{"observed_at":"2026-08-06T21:27:49.291875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.02279","last_updated":"2025-03-18T15:35:11Z","snapshot_observed_at":"2026-07-06T17:54:47.689340Z","submitted_at":"2024-04-02T20:13:18Z","title":"Efficient Implementation of Multi-Controlled Quantum Gates","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.02279","snapshot_observed_at":"2026-08-06T21:27:49.112004Z","title":"Efficient implementation of multi-controlled quantum gates,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.112004Z"},"links":{"cited_paper":"/paper/2404.02279","citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:fff9eddac8718f7ba8cae5df9de6bec0c8fd2c1ac6e440ea8a912dc1040fcff8","observation_id":"5a42523c-c541-43e3-901b-f41959963b03","resolution":{"observed_at":"2026-08-06T21:27:49.112004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.272813Z","title":"Quantum-classical tradeoffs and multi-controlled quantum gate decompositions in varia- tional algorithms,","venue":null,"work_id":"26271eb2-e710-485e-82ae-c665a17195a4","year":2024},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.116505Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:44bcdd64f8ac2ea2b1f35a03b2506f971cd78a83aeba0ab892a40337e1cd59e5","observation_id":"a9c3c889-0abd-4458-bdcb-a6e372d8dda0","resolution":{"observed_at":"2026-08-06T21:27:49.277455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.120319Z","title":"Spacetime-efficient low-depth quantum state preparation with applica- tions,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.120319Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:b59c4b64989a567ff072d0f58805fdca7dee4e44746577a5b55964fc79f75e61","observation_id":"df028394-76dd-47ec-8271-b4eb43712b42","resolution":{"observed_at":"2026-08-06T21:27:49.120319Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.248855Z","title":"Optimizing gate decomposition for high-level quantum programming,","venue":null,"work_id":"0963bd8d-5954-46b3-8780-41e17648112d","year":2025},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.124093Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:9d6324a165d797d3b3f6b259f43a07ca3748f7c463fc9b79fee1d98451d7a952","observation_id":"a3face77-6b10-41b4-9201-8af3c8ee43cd","resolution":{"observed_at":"2026-08-06T21:27:49.253215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:27:49.234501Z","title":"Improving the mapping of reversible circuits to quantum circuits using multiple target lines,","venue":null,"work_id":"46ed882b-a8ee-4996-82d4-5dd03680b256","year":2013},"citing_paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T21:27:49.128124Z"},"links":{"citing_paper":"/paper/2507.00400"},"observation_digest":"sha256:df34ab4e34ff5e4b2a59c75453abc0b84636148f4990f9b987c4455e2a765bf0","observation_id":"1c64e1ac-ac22-4d69-8008-02042b871f2c","resolution":{"observed_at":"2026-08-06T21:27:49.239038Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.00400","last_updated":"2025-08-11T18:46:43Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-09T10:34:21.597404Z","submitted_at":"2025-07-01T03:30:39Z","title":"Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":2,"verified_fuzzy":16},"total_outbound_references":24},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2507.00400."}