{"as_of":"2026-08-20T22:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5df3303c7514d8f33c097e337c6d035dae4cd5f13b5796cce9940a368d999518","coverage":[{"denominator":59,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":59,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T17:54:00.957427Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-14T23:52:20.189323Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"cited_work":{"arxiv_id":"2512.08432","doi":"10.48550/arxiv.2512.08432","metadata_source":"arxiv_reference","pith_arxiv_id":"2512.08432","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"arXiv (Cornell University)","work_id":"448cceef-69cc-4d46-a527-c3b015ea860f","year":2025},"citing_paper":{"arxiv_id":"2603.26039","last_updated":"2026-04-03T03:09:29Z","snapshot_observed_at":"2026-08-11T04:14:07.845111Z","submitted_at":"2026-03-27T03:19:27Z","title":"Achieving double-logarithmic precision dependence in optimization-based quantum unstructured search","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-14T23:52:20.189323Z"},"links":{"cited_paper":"/paper/2512.08432","citing_paper":"/paper/2603.26039"},"observation_digest":"sha256:c0f201e7273685b9ae2ac0324be281afe333431fd43be184b0e8cc90ea842ae0","observation_id":"15a02b8d-385e-49b1-855e-6d22386e3581","resolution":{"observed_at":"2026-06-10T02:11:44.499266Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2512.08432/citation-record","integrity":"/paper/2512.08432/integrity","json":"/paper/2512.08432/citation-record.json","paper":"/paper/2512.08432"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:53:55.053995Z","title":"Efficient Riemannian algorithms for optimization under unitary matrix constraint","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:55.053995Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:467a6b549bf5c45c0857afe86e8263d8776dd8fbe44f38470d86c08344123275","observation_id":"d247984a-8d61-48b5-8f8f-915431c69148","resolution":{"observed_at":"2026-08-03T17:53:55.053995Z","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":"2026-08-03T17:53:55.169292Z","title":"Princeton University Press, 2008","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:55.169292Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:a8a60bbda6489ec4ae9708544a873d8ec8935b46d30b0b088b9424b2eb1dedd2","observation_id":"270cb099-6c9c-43c6-8889-95b8e52b7dca","resolution":{"observed_at":"2026-08-03T17:53:55.169292Z","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":"2026-08-03T17:53:55.308222Z","title":"Projection-like retractions on matrix manifolds","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:55.308222Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:58d7e79edaf7ad57b7b2ff5a21f1e95e9d4726eb5214658e9667dafa613aebff","observation_id":"4eeffba8-887d-43c7-99ba-9047f579e911","resolution":{"observed_at":"2026-08-03T17:53:55.308222Z","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":"2026-08-03T17:53:55.490586Z","title":"Using quantum amplitude amplification in genetic algorithms.Expert Systems with Applications, 209:118203, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:55.490586Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:15ad2b92c2ff5de2cfeebaa8d4445c228e6f7ff4e220f80d9566e5fbf71111ca","observation_id":"39d0243b-a909-47ba-9312-d7bccc7c35ff","resolution":{"observed_at":"2026-08-03T17:53:55.490586Z","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":"2026-08-03T17:53:55.582718Z","title":"Newton’s method on Riemannian manifolds and a geometric model for the human spine","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:55.582718Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:172318f17d090181e99d5e4eec71436a184cb5623faff9cc2ecee88030f5a996","observation_id":"cfe8c867-8420-4f0d-8aef-c73e60a72ff3","resolution":{"observed_at":"2026-08-03T17:53:55.582718Z","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":"2026-08-03T17:53:55.690901Z","title":"Variable time amplitude amplification and quantum algorithms for linear algebra problems","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:55.690901Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:3b10310172f1b82db1992a7cdaf4650688b2f435146d373652a4d98e42f5f05c","observation_id":"2c201b1f-0717-4c8b-bbfe-e94c82d055ee","resolution":{"observed_at":"2026-08-03T17:53:55.690901Z","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":"2026-08-03T17:53:55.869924Z","title":"Grover’s quantum algorithm applied to global optimization.SIAM Journal on Optimization, 15(4):1170–1184, 2005","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:55.869924Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:176616eddcd04815f4f634f1b4925cc4766a28838899c83dfe5a9e85262aac7c","observation_id":"ddc22ce6-6150-4ffd-941e-b405aabce50f","resolution":{"observed_at":"2026-08-03T17:53:55.869924Z","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":"2026-08-03T17:53:56.008150Z","title":"Quan- tum lower bounds by polynomials.Journal of the ACM (JACM), 48(4):778–797, 2001","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:56.008150Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:f9683d58c96563bff33c72394728c41886d6fc15247964663aff2e968f867050","observation_id":"a9db09a2-b388-4b65-99e9-54fc19045e93","resolution":{"observed_at":"2026-08-03T17:53:56.008150Z","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":"2026-08-03T17:53:56.186913Z","title":"Strengths and weaknesses of quantum computing.SIAM Journal on Computing, 26(5):1510–1523, 1997","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:56.186913Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:2d98d2cc3c0cdb81d97cd00c62403318ab20619ed60cf3eb3d91e90fd3513517","observation_id":"21df8df8-d5e7-456f-92ad-de904cdd993e","resolution":{"observed_at":"2026-08-03T17:53:56.186913Z","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":"2026-08-03T17:53:56.335981Z","title":"Post-quantum cryptography","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:56.335981Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:9340e932c13252b72a4bf530258cfd07aed61621afa96eef981511f75902742f","observation_id":"a718a150-8cda-4f96-888b-509d056c3473","resolution":{"observed_at":"2026-08-03T17:53:56.335981Z","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":"2026-08-03T17:53:56.506987Z","title":"Quantum machine learning.Nature, 549(7671):195–202, 2017","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:56.506987Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:7f03be08475e49a2221f8d4a517a89f554ad484c980ef917db42ab6f5f995db4","observation_id":"9e9a5a9e-f9bd-433b-8560-62e52eaf0b39","resolution":{"observed_at":"2026-08-03T17:53:56.506987Z","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":"2026-08-03T17:53:56.687384Z","title":"An Introduction to Optimization on Smooth Manifolds","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:56.687384Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:5a06b6330cd5a77f79a6b368245fe0abf475c7e06337280fe5446b07f483a7cf","observation_id":"d1ae1c9d-8bcb-45df-ac2a-1c1943c92d55","resolution":{"observed_at":"2026-08-03T17:53:56.687384Z","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":"2026-08-03T17:53:56.801546Z","title":"Global rates of convergence for nonconvex optimization on manifolds","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:56.801546Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:1b296ea5de1b63e81831978245ece65e739a2b89af3cc7af299e14d6330c569d","observation_id":"609b8f97-554c-4eb6-a668-d33945111ecc","resolution":{"observed_at":"2026-08-03T17:53:56.801546Z","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":"2026-08-03T17:53:56.954763Z","title":"Searching a quantum phone book.Science, 275(5300):627–628, 1997","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:56.954763Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:b152d2820dee8c732253489b938a896f1d1b7e4e92e5c8cc3099c441ab11f735","observation_id":"87c076d5-c914-4ec6-b7d7-1b3aa6d6f12a","resolution":{"observed_at":"2026-08-03T17:53:56.954763Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0005055","last_updated":"2000-05-15T18:19:59Z","snapshot_observed_at":"2026-07-07T07:03:25.387553Z","submitted_at":"2000-05-15T18:19:59Z","title":"Quantum Amplitude Amplification and Estimation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0005055","snapshot_observed_at":"2026-08-03T17:53:57.139077Z","title":"Quantum amplitude ampli- fication and estimation.arXiv preprint quant-ph/0005055, 2000","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:57.139077Z"},"links":{"cited_paper":"/paper/quant-ph/0005055","citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:e72f99c1446772bab87c8df5355a358afa7e510c0021884dc9fe9d19033c3a8e","observation_id":"9f3de77d-4e3a-47b6-a0af-d169a2bd9acc","resolution":{"observed_at":"2026-08-03T17:53:57.139077Z","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":"2026-08-03T17:53:57.273796Z","title":"On Grover’s search algorithm from a quantum in- formation geometry viewpoint","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:57.273796Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:327e391d71415a6ddcd5512b85d009592b7c7072f4e242703aca36fe479e9faa","observation_id":"a6483fe1-af6a-49be-b1c3-3b901d7be4f3","resolution":{"observed_at":"2026-08-03T17:53:57.273796Z","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":"2026-08-03T17:53:57.392370Z","title":"Quantum reinforcement learning","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:57.392370Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:7becfc1c6a8d31cbd8df0e1c7f2d1b330b225e06fa93ca82cf01dbde981d97b3","observation_id":"a403e5c4-eb57-4b38-98dc-817c83bca951","resolution":{"observed_at":"2026-08-03T17:53:57.392370Z","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":"2026-08-03T17:53:57.523786Z","title":"A Grover-search based quantum learning scheme for classification.New Journal of Physics, 23(2):023020, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:57.523786Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:d8f5397abc5e98f0756a5f99119c2fd5bb95ad5eda5080ba3450ede2cee0e8b2","observation_id":"5b3d2321-c318-4214-bae6-bf811ef69d32","resolution":{"observed_at":"2026-08-03T17:53:57.523786Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9607014","last_updated":"1999-01-07T16:50:45Z","snapshot_observed_at":"2026-08-12T22:54:40.402900Z","submitted_at":"1996-07-18T19:12:42Z","title":"A Quantum Algorithm for Finding the Minimum","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9607014","snapshot_observed_at":"2026-08-03T17:53:57.634438Z","title":"A quantum algorithm for finding the minimum.arXiv preprint quant-ph/9607014, 1996","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:57.634438Z"},"links":{"cited_paper":"/paper/quant-ph/9607014","citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:77afc428b8eb6a9e960aeb149f291af8c280b6f7d49cf16ef7670b889685cd2e","observation_id":"92a0dbf9-f996-4000-80b2-608984d135fc","resolution":{"observed_at":"2026-08-03T17:53:57.634438Z","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":"2026-08-03T17:53:57.755473Z","title":"On the Barzilai-Borwein method","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:57.755473Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:f768bc7a17ceacc720ad79cc13fe3d2ead2a4066f1a69f923b177cad60a61500","observation_id":"8ccf2c2c-99ff-4daf-a3e4-be0bc7a36ec7","resolution":{"observed_at":"2026-08-03T17:53:57.755473Z","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":"2026-08-03T17:53:57.844852Z","title":"Grover adaptive search for constrained polynomial binary optimization.Quantum, 5:428, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:57.844852Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:9e5489a0fa9011337c31a92827d107bf12d50e425bf69e4f8970c99d46682ecc","observation_id":"9650596c-1d86-4b43-afb2-7f3dbf409a82","resolution":{"observed_at":"2026-08-03T17:53:57.844852Z","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":"2026-08-03T17:53:57.998946Z","title":"Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:57.998946Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:b8a5349117bc3a71a034abf1c9c3f9dfaae3f19c29bed02c0c0e5c3fbee13142","observation_id":"1425bae1-cc32-4416-a90a-7f5eb3c1cb7e","resolution":{"observed_at":"2026-08-03T17:53:57.998946Z","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":"2026-08-03T17:53:58.168800Z","title":"Double-bracket quantum algorithms for diagonalization.Quantum, 8:1316, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:58.168800Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:bfbf58e465df2e8410105603f92aa653d5aedd3c936142718c75ecea37300959","observation_id":"fd06e558-f56a-40e0-9e14-d7b57adf746b","resolution":{"observed_at":"2026-08-03T17:53:58.168800Z","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":"2026-08-03T17:53:58.358027Z","title":"Double-bracket quantum algorithmsfor quantum imaginary- time evolution.arXiv preprint arXiv:2412.04554, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:58.358027Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:d564f31809b5d3655a6a2c4e9979ac0da38569eed84a0b999d59410772f507c2","observation_id":"c3feb5e7-225c-43e4-9814-9e50c5677b94","resolution":{"observed_at":"2026-08-03T17:53:58.358027Z","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":"2026-08-03T17:53:58.487249Z","title":"Applying Grover’s algorithm to AES: quantum resource estimates","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:58.487249Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:1180cd25f75984e48fe8e1f53927814fdce14f7ca8a98623ee74fe21b82f172d","observation_id":"a44d1727-df90-49cb-9c22-ed02a6997936","resolution":{"observed_at":"2026-08-03T17:53:58.487249Z","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":"2026-08-03T17:53:58.592221Z","title":"A fast quantum mechanical algorithm for database search","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:58.592221Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:6a0dc92026459ef18ce9ed229af786d5f8850169d4f3edbfef55b7c4b376fc73","observation_id":"c8dded80-a730-4271-84f0-84e2452f143f","resolution":{"observed_at":"2026-08-03T17:53:58.592221Z","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":"2026-08-03T17:53:58.638118Z","title":"Fixed-point quantum search.Physical Review Letters, 95(15):150501, 2005","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:58.638118Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:b6e29ce5bc2e5ea7ea2044ef9b93f365707be63e122050d4a78dbe14f4a0021a","observation_id":"cc4de1b4-7cf9-4dfb-ad7a-f5faab3b1f99","resolution":{"observed_at":"2026-08-03T17:53:58.638118Z","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":"2026-08-03T17:53:58.698014Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:58.698014Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:e4351243d091c4f145bf000f7c9c9137952a53ffafb6dfc85286240d2f8087c6","observation_id":"8ff434bc-32cd-4aaa-90bf-e128a6089eb2","resolution":{"observed_at":"2026-08-03T17:53:58.698014Z","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":"2026-08-03T17:53:58.750531Z","title":"Quantum state tomography via nonconvex Riemannian gradient descent.Physical Review Letters, 132(24):240804, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:58.750531Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:a82d1d784d73cb224c4cf3a6b111086f9769ef0cf547e544c7a66641e0bff4f4","observation_id":"bfd21eb7-a316-46b2-b467-b6b7babb448a","resolution":{"observed_at":"2026-08-03T17:53:58.750531Z","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":"2026-08-03T17:53:58.826500Z","title":"A brief introduction to manifold optimization","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:58.826500Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:a72cc786760a24f9aaf2e5e24552a53bb2c3cc9e70fdaef9ca4e007ccc27c447","observation_id":"241ba7ff-3e70-4db5-8056-68d357805869","resolution":{"observed_at":"2026-08-03T17:53:58.826500Z","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":"2026-08-03T17:53:58.908151Z","title":"The Riemannian Barzilai-Borwein method with nonmonotone line search and the matrix geometric mean computation.IMA Journal of Numerical Analysis, 38(1):495–517, 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:58.908151Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:853b4d2e6a0a15056196bf97d8138d01c4878fc3ea99721280508a9a69e0dc48","observation_id":"5935477f-f2e9-473e-8c53-a7ce2271207d","resolution":{"observed_at":"2026-08-03T17:53:58.908151Z","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":"2026-08-03T17:53:58.976901Z","title":"Linear convergence of gradient and proximal-gradient methods under the Polyak–Łojasiewicz condition","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:58.976901Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:0e1f8d3f09e848fadf91f08dce81dbf4f2e6ae48f6d6537eaa00279cbcbc50ef","observation_id":"57efe3a7-bedc-4407-a614-6a8a967cb4ed","resolution":{"observed_at":"2026-08-03T17:53:58.976901Z","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":"2026-08-03T17:53:59.030752Z","title":"Oxford University Press., 2006","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.030752Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:84e01b98c9b7c453d3ce64e1d9d9698e9e04dd72e34225643caee34150c54dfb","observation_id":"6e1c19dd-6df9-42ad-b012-5c790f58111c","resolution":{"observed_at":"2026-08-03T17:53:59.030752Z","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":"2026-08-03T17:53:59.069799Z","title":"The Art of Computer Programming, volume 3","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.069799Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:ae1a5f6daa6620e384ae1cb107b12ad94e0bc1ffb09113b94650cbd1ea22aacc","observation_id":"642006ae-d839-42c5-85b2-73b1f6be8c2e","resolution":{"observed_at":"2026-08-03T17:53:59.069799Z","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":"2026-08-03T17:53:59.128766Z","title":"Advancing mathematical research via human–AI interactive theorem proving.arXiv preprint arXiv:2512.09443, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.128766Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:a5900d49931da5bd93ce45be8c9435a04fe73f3aee139af584636fe44fe51da9","observation_id":"b7c8a536-71f2-4c5a-ab42-011232716dfa","resolution":{"observed_at":"2026-08-03T17:53:59.128766Z","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":"2026-08-03T17:53:59.189385Z","title":"Quantum comb tomography via learning isometries on Stiefel manifold","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.189385Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:efddcf095b531f9cda78664618dc03033c56919e6098cd7ee0ddbee2c78bafbd","observation_id":"cc05f3e0-c5a8-4ce4-ac55-8271be32b5a9","resolution":{"observed_at":"2026-08-03T17:53:59.189385Z","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":"2026-08-03T17:53:59.272486Z","title":"A topological property of real analytic subsets.Coll","venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.272486Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:ea89edba33156351743fb7694e656129403d6c9dd22e1db5ef8c61447ad04849","observation_id":"f08d049a-c607-430c-8ff2-cf177049f357","resolution":{"observed_at":"2026-08-03T17:53:59.272486Z","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":"2026-08-03T17:53:59.326853Z","title":"QGOpt: Rie- mannian optimization for quantum technologies.Scipost physics, 10(3):079, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.326853Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:87276a5460d7f4f5d0bd082fe942773f3bd0ad7533a09cb9aac7e0d127113742","observation_id":"275fe978-9ce3-471a-ae4a-020c14a66127","resolution":{"observed_at":"2026-08-03T17:53:59.326853Z","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":"2026-08-03T17:53:59.405300Z","title":"Introduction to Information Retrieval","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.405300Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:634e7deb9e6a17d4d10c7bdac18ac201cc098d17ca0223b32be6126348423284","observation_id":"d662c17c-d2b1-4d5a-969e-e381971e061e","resolution":{"observed_at":"2026-08-03T17:53:59.405300Z","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":"2026-08-03T17:53:59.485922Z","title":"Grand unification of quantum algorithms","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.485922Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:566e0a4df45c72a34ef4372a3f345c21843458ea796eeb02c23c4d96b953d92a","observation_id":"473a79a4-54b9-4263-9885-ef8108b36dba","resolution":{"observed_at":"2026-08-03T17:53:59.485922Z","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":"2026-08-03T17:53:59.568286Z","title":"Geometric strategy for the optimal quantum search","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.568286Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:40f1d4ee48c9c84c4ef2e9bb56213bd6b910fc4f679c2b29b11b234ff304e461","observation_id":"d6f54759-845e-4091-9115-766b2532add1","resolution":{"observed_at":"2026-08-03T17:53:59.568286Z","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":"2026-08-03T17:53:59.644217Z","title":"Springer US, Boston, MA, 2004","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.644217Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:8a773d350213431e483dc238777a87553f3c1ea1956e0719952be6a90ed13fe5","observation_id":"e2c7660c-b775-4dbd-b35a-23490769abf8","resolution":{"observed_at":"2026-08-03T17:53:59.644217Z","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":"2026-08-03T17:53:59.700444Z","title":"Cambridge University Press, 2010","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.700444Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:b6d5031ca39557f00f6a6f82d55fb4860828806902b0fc959ef888e22c798d32","observation_id":"70cd461c-c754-47da-8cf7-306644ca6a84","resolution":{"observed_at":"2026-08-03T17:53:59.700444Z","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":"2026-08-03T17:53:59.754632Z","title":"Springer, 2006","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.754632Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:e65f7d66e33091fd7e52ee8ce07323a47bfb801ea42f3da58fdd4d1874ee9013","observation_id":"0179b6a7-6e0f-46c9-971a-a1b56f7dee6f","resolution":{"observed_at":"2026-08-03T17:53:59.754632Z","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":"2026-08-03T17:53:59.845314Z","title":"Gradient methods for minimizing functionals.Zhurnal Vychis- litel’noi Matematiki i Matematicheskoi Fiziki, 3(4):643–653, 1963","venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.845314Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:5dff798db4d5477a8f77618ace1e4705e15db86b04f28dfe503b1abcb704804b","observation_id":"c3e23cf4-d4f1-44af-b26c-1f9eeab5c190","resolution":{"observed_at":"2026-08-03T17:53:59.845314Z","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":"2026-08-03T17:53:59.880732Z","title":"On the Barzilai and Borwein choice of steplength for the gradient method","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.880732Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:4d809612a3153b096f96b4a4fb5280f443b3bfc1e8f83f3e554616be660cd3ca","observation_id":"a99d5e0f-5ac3-4e2c-a31f-59f9f8e699a6","resolution":{"observed_at":"2026-08-03T17:53:59.880732Z","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":"2026-08-03T17:53:59.941787Z","title":"Fast convergence to non-isolated minima: four equivalent conditions forC2 functions","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.941787Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:e45bda9791a165489f5732285538e4db67a9694e4dfe476411fd5437a9bead48","observation_id":"3e58be82-0b10-4129-b8c5-bacf72b087dc","resolution":{"observed_at":"2026-08-03T17:53:59.941787Z","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":"2026-08-03T17:53:59.993841Z","title":"Double- bracket quantum algorithms for high-fidelity ground state preparation","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T17:53:59.993841Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:e621307c7b4b09c99015c7797b86b01a08120265ec3476363412217286d7e863","observation_id":"d71b0f53-18d1-4c0d-a7e2-b6e1a75dde52","resolution":{"observed_at":"2026-08-03T17:53:59.993841Z","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":"2026-08-03T17:54:00.077223Z","title":"Cholesky QR-based retraction on the generalized Stiefel manifold","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.077223Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:3fe4158d3675c3e515be4f48d9f8a45d7229c87d107dd94a5b9e4ea7cae842ba","observation_id":"e80f74e5-c357-4a1d-ab17-11c572f3ce4f","resolution":{"observed_at":"2026-08-03T17:54:00.077223Z","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":"2026-08-03T17:54:00.159998Z","title":"Amplitude estimation without phase estimation.Quantum Information Processing, 19(2):75, 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.159998Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:330633028b4db18c115543729c26d85957d7298b448341bcd300224bf8c55ec1","observation_id":"f295a550-d302-481c-af55-9fa1b13e392b","resolution":{"observed_at":"2026-08-03T17:54:00.159998Z","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":"2026-08-03T17:54:00.233579Z","title":"Grover’s algorithm is an approximation of imaginary-time evolution.arXiv preprint, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.233579Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:868c3e406083c9a0432d1694084dd5fade0e5bf7b15c735cba1b3dbeac117ab6","observation_id":"c43de4eb-2fab-444e-a25d-a81574632a14","resolution":{"observed_at":"2026-08-03T17:54:00.233579Z","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":"2026-08-03T17:54:00.316645Z","title":"Double-bracket algorithm for quantum signal processing without post-selection","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.316645Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:d4381e2ff24671f2bb97d3598ed1f8f05c46123edb290a1ae7fa52a515419cdc","observation_id":"7296452c-2b14-4a74-bfc2-5c267f9c9719","resolution":{"observed_at":"2026-08-03T17:54:00.316645Z","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":"2026-08-03T17:54:00.398757Z","title":"Quantum speed-up of Markov chain based algorithms","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.398757Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:820e314d64a0d1ca80cc7cd5a055d29e0eb0fdec2225ae3931f17e5d0a220637","observation_id":"9f9a996f-b4e9-483e-a10c-d83a244304d5","resolution":{"observed_at":"2026-08-03T17:54:00.398757Z","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":"2026-08-03T17:54:00.480943Z","title":"A feasible method for optimization with orthogonality con- straints","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.480943Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:c6b06fbbeda29468a9d6daaf480b23077357895deddfa1082be77aabd9d21fe4","observation_id":"ea58e432-505b-4a53-a178-59b98bdde743","resolution":{"observed_at":"2026-08-03T17:54:00.480943Z","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":"2026-08-03T17:54:00.561665Z","title":"Optimizing quantum circuits with Riemannian gradient flow.Physical Review A, 107(6):062421, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.561665Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:f5cc51aebb89868f01e5f4bf729dc45a9c4f55bcb710f5d18dbefa3fe114e378","observation_id":"7d0cbd2c-632b-44cf-8f47-d869683de83e","resolution":{"observed_at":"2026-08-03T17:54:00.561665Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07431","last_updated":"2024-08-14T10:07:54Z","snapshot_observed_at":"2026-08-16T13:26:32.447366Z","submitted_at":"2024-08-14T10:07:54Z","title":"Strategies for optimizing double-bracket quantum algorithms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.07431","snapshot_observed_at":"2026-08-03T17:54:00.638727Z","title":"Strategies for optimizing double-bracket quantum algorithms","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.638727Z"},"links":{"cited_paper":"/paper/2408.07431","citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:e95bca35b6b8739a92d31484f317364b312d749c96993bcaf0e5b556f3fd28ee","observation_id":"9035dae1-0fcb-4e73-ae6a-2eb2fdbc09c4","resolution":{"observed_at":"2026-08-03T17:54:00.638727Z","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":"2026-08-03T17:54:00.749877Z","title":"Fixed-point quantum search with an optimal number of queries.Physical Review Letters, 113(21):210501, 2014","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.749877Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:a1c97bfe92e8ec6a449832f417582a86303755dbc9b9371433b4a22190b4e61d","observation_id":"54877331-d24a-45ac-b8dc-f01886b6cd95","resolution":{"observed_at":"2026-08-03T17:54:00.749877Z","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":"2026-08-03T17:54:00.853531Z","title":"Grover’s quantum searching algorithm is optimal","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.853531Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:7173c5ac808d8d3abdc1fe7add665ada5b2caf06b5d56c47542833765144fcb5","observation_id":"4716f2be-43ff-4e89-adb1-7dc7a86bd849","resolution":{"observed_at":"2026-08-03T17:54:00.853531Z","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":"2026-08-03T17:54:00.957427Z","title":"Role of Riemannian geome- try in double-bracket quantum imaginary-time evolution","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-03T17:54:00.957427Z"},"links":{"citing_paper":"/paper/2512.08432"},"observation_digest":"sha256:9c77030fa4c38e862ba4d3ac85271f1f8671e8fd10ea1a316912e5b3689dfbea","observation_id":"40415f6c-44c3-4602-a12d-3b4dc00e6dde","resolution":{"observed_at":"2026-08-03T17:54:00.957427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2512.08432","last_updated":"2026-06-09T07:05:16Z","latest_version":3,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-18T19:21:17.322715Z","submitted_at":"2025-12-09T10:01:55Z","title":"A Grover-compatible manifold optimization algorithm for quantum search"},"reference_resolution":{"displayed":59,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":59,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":59},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 1 inbound Pith citation observation for arXiv:2512.08432."}