{"as_of":"2026-08-06T21:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:782720f777cec24efe67bb86557d4a378f2dc468ceb93a094a8e101d4924da28","coverage":[{"denominator":46,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":46,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T17:19:49.307054Z","state":"measured"},{"denominator":46,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":46,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+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/2607.28120/citation-record","integrity":"/paper/2607.28120/integrity","json":"/paper/2607.28120/citation-record.json","paper":"/paper/2607.28120"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T17:19:47.667039Z","title":"Montanaro, Quantum algorithms: an overview, npj Quant","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:47.667039Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:902a4c5aab3caf350a8e293bc718b2752564a0cebfd263b5bcebdf7dbbaa721b","observation_id":"09e89569-9cf2-4d16-b1cf-99beaa962215","resolution":{"observed_at":"2026-07-31T17:19:47.667039Z","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":"2026-07-31T17:19:47.702642Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:47.702642Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:c3883cded6b21692b1752a5c880612b7f1bd629db7a8146e01e29b714f4e16b7","observation_id":"7b5c3359-cba4-4e90-96ee-1f2586e7e790","resolution":{"observed_at":"2026-07-31T17:19:47.702642Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2510.19928","last_updated":"2026-05-21T06:22:22Z","snapshot_observed_at":"2026-07-06T22:33:48.680749Z","submitted_at":"2025-10-22T18:00:19Z","title":"Mind the gaps: The fraught road to quantum advantage","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2510.19928","snapshot_observed_at":"2026-07-31T17:19:47.731391Z","title":"Eisert and J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:47.731391Z"},"links":{"cited_paper":"/paper/2510.19928","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:0f8d871311f88509a18524fa0f38dc4905bf4bf1bc0e7e666ab9e8a563f8c482","observation_id":"e6ea4d1e-412f-42b8-8510-49c5f4ab7fb1","resolution":{"observed_at":"2026-07-31T17:19:47.731391Z","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":"2026-07-31T17:19:47.773717Z","title":"Abbas, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:47.773717Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:3c8465bb4f76e116bb84c24cc8a936712dd1af99138402349671834f81d2d147","observation_id":"371fc708-ae61-46ef-ac0f-6de42200babb","resolution":{"observed_at":"2026-07-31T17:19:47.773717Z","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":"2026-07-31T17:19:47.808905Z","title":"Pirnay, V","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:47.808905Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:6abc877db014d54a08be0f1855ce305a798458ffa611365884b409dda85f2a76","observation_id":"bca72568-7209-4a7f-b29c-8e13c0b5449b","resolution":{"observed_at":"2026-07-31T17:19:47.808905Z","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":"2026-07-31T17:19:47.847545Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:47.847545Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:3fa5f443a98da1887cf9dbb9dd141ad8d12d5f4859756218e141c60659d638c4","observation_id":"4b296156-1037-4a70-a568-a53ff6213322","resolution":{"observed_at":"2026-07-31T17:19:47.847545Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.03832","last_updated":"2025-08-28T07:52:53Z","snapshot_observed_at":"2026-08-06T07:06:55.449625Z","submitted_at":"2025-04-04T18:00:00Z","title":"Quantum Optimization Benchmarking Library - The Intractable Decathlon","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.03832","snapshot_observed_at":"2026-07-31T17:19:47.922744Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:47.922744Z"},"links":{"cited_paper":"/paper/2504.03832","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:7d8bba14282ae87f55b4e5be2adeecad4398fb2576c7c85f0eddea2592ae0af8","observation_id":"33f52762-32c9-4ff8-8e96-b8e5314c3403","resolution":{"observed_at":"2026-07-31T17:19:47.922744Z","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":"2026-07-31T17:19:47.960815Z","title":"Regev, On lattices, learning with errors, random linear codes, and cryptography, J","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:47.960815Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:959505ba26de2782f83bd372cf579ce5c76833118538d31bb999e0bf40c4803a","observation_id":"dc09289c-d51b-4a67-a976-305e92238f26","resolution":{"observed_at":"2026-07-31T17:19:47.960815Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.14443","last_updated":"2026-04-30T17:48:39Z","snapshot_observed_at":"2026-07-06T22:30:11.897367Z","submitted_at":"2025-09-17T21:31:58Z","title":"On the Complexity of Decoded Quantum Interferometry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.14443","snapshot_observed_at":"2026-07-31T17:19:48.000224Z","title":"Marwaha, B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.000224Z"},"links":{"cited_paper":"/paper/2509.14443","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:91181e9eadbf807c0f50b0e37b67dd245a315b935c4a968087fd4fc2ba800673","observation_id":"177dc9f9-f553-459d-b2f2-478a6f964901","resolution":{"observed_at":"2026-07-31T17:19:48.000224Z","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":"2026-07-31T17:19:48.040607Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.040607Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:11c0226eb8af518c1a03742c2c3ccac1d406b164dd902b2a967eead11c88eac8","observation_id":"cb7126b6-23a5-4d8c-82cb-d59a67cdf4c7","resolution":{"observed_at":"2026-07-31T17:19:48.040607Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.13570","last_updated":"2026-06-11T16:59:12Z","snapshot_observed_at":"2026-07-06T23:52:18.996096Z","submitted_at":"2026-06-11T16:59:12Z","title":"Approximability limits for bounded-degree max-LINSAT and implications for decoded quantum interferometry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.13570","snapshot_observed_at":"2026-07-31T17:19:48.081351Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.081351Z"},"links":{"cited_paper":"/paper/2606.13570","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:4c41c58bf2d9d7572d054aef210e5e9e7261a10f1c6ec854c3fc8bc5bd818551","observation_id":"045261b1-9b41-4449-9536-ed0726f354da","resolution":{"observed_at":"2026-07-31T17:19:48.081351Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.09533","last_updated":"2026-04-10T17:50:46Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-04-10T17:50:46Z","title":"On Worst-Case Optimal Polynomial Intersection","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.09533","snapshot_observed_at":"2026-07-31T17:19:48.121779Z","title":"Sun and M","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.121779Z"},"links":{"cited_paper":"/paper/2604.09533","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:8610f4a28ea9803d85038453a9185143c31432d19acd1306136226e44496b5fb","observation_id":"745cda05-f3d4-4a4c-9931-4ba2b66d92ca","resolution":{"observed_at":"2026-07-31T17:19:48.121779Z","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":"2026-07-31T17:19:48.160352Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.160352Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:2cd119dc7af4912c1612263e86f8ed4cec888fb8ebc1650a83609c9eec54f8f9","observation_id":"4232f96b-e645-4ed4-b675-2e56080145c6","resolution":{"observed_at":"2026-07-31T17:19:48.160352Z","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":"2026-07-31T17:19:48.197418Z","title":"Parekh, No quantum advantage in decoded quantum interfer- ometry for MaxCut, arXiv:2509.19966 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.197418Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:c5903043a192d470adfdf518e574b61ac38bfba3388f582667b2bf50f6a9a1da","observation_id":"d4793edf-f2b4-4090-8ca6-5c7554df5ac1","resolution":{"observed_at":"2026-07-31T17:19:48.197418Z","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":"2026-07-31T17:19:48.238608Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.238608Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:f3f08d59d24f2fd6232abdbb0c9fe1f3832bec773aec751b4bcfb0d0d4cc786c","observation_id":"22ecffe5-8f72-4d82-8e65-8aad14868be8","resolution":{"observed_at":"2026-07-31T17:19:48.238608Z","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":"2026-07-31T17:19:48.273823Z","title":"Sabater, O","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.273823Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:64a14bffc33b4d5d3bfacf3a0c656c68099701d7975b8da140f415dc5fb47556","observation_id":"79d8d2f4-3e84-44fe-975c-2fa501a6537f","resolution":{"observed_at":"2026-07-31T17:19:48.273823Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.16955","last_updated":"2026-05-16T12:14:30Z","snapshot_observed_at":"2026-08-06T12:53:28.446423Z","submitted_at":"2026-05-16T12:14:30Z","title":"From Constraint to Code: DQI-Kit -- A Software Framework for Decoded Quantum Interferometry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.16955","snapshot_observed_at":"2026-07-31T17:19:48.300256Z","title":"Thelen and W","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.300256Z"},"links":{"cited_paper":"/paper/2605.16955","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:f50933476d12060d01086ceeb7a34a27ff16fd0b0688bb60d83eb84d97aade79","observation_id":"0d8a05f5-4ad7-4c0b-9a3f-5bab8b35dcac","resolution":{"observed_at":"2026-07-31T17:19:48.300256Z","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":"2026-07-31T17:19:48.337495Z","title":"Khattar, N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.337495Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:9ca6f098a8df74ca5ab3cae38de1648a385e32f7ef86963d1f7e0a1b7623ee97","observation_id":"b68c61f9-be0d-47b9-8b87-d9b8ecfe1b4f","resolution":{"observed_at":"2026-07-31T17:19:48.337495Z","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":"2026-07-31T17:19:48.376848Z","title":"Patamawisut, N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.376848Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:c5ed86e560e6ec8df0c2154d2f27557b74e77365e3baa30adf5fd826ed6d8436","observation_id":"66309895-921b-4236-a395-5026d299631c","resolution":{"observed_at":"2026-07-31T17:19:48.376848Z","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":"2026-07-31T17:19:48.416893Z","title":"Chailloux and J.-P","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.416893Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:ab749e286790ef1107cad8e8a5fe10fb14d0b8d38d52c1d29be3a10f92ae8482","observation_id":"5e6299f4-88d6-4ffe-9c33-6401d1dcedcb","resolution":{"observed_at":"2026-07-31T17:19:48.416893Z","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":"2026-07-31T17:19:48.452606Z","title":"Chailloux, OPI x soft decoders, arXiv:2511.22691 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.452606Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:9f73f8597ba0251fa393c0a20ba4096b97dea09bd2fd772495379f81f0c37907","observation_id":"2a15f40b-9e74-46ea-9a17-43690c7dc348","resolution":{"observed_at":"2026-07-31T17:19:48.452606Z","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":"2026-07-31T17:19:48.490143Z","title":"Blanvillain, A","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.490143Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:606f146f64d3a680bc8a455d321afef9c5741cc76c9bdb073a79603cf9326b01","observation_id":"1dfd3efb-f4fb-450d-a68c-ce1b7382b3d8","resolution":{"observed_at":"2026-07-31T17:19:48.490143Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.14650","last_updated":"2026-07-16T07:18:57Z","snapshot_observed_at":"2026-08-02T01:44:02.597935Z","submitted_at":"2026-07-16T07:18:57Z","title":"Worst-Case Quantum Algorithm for Optimal Polynomial Intersection Beyond Decoded Quantum Interferometry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.14650","snapshot_observed_at":"2026-07-31T17:19:48.533188Z","title":"Horinaga and T","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.533188Z"},"links":{"cited_paper":"/paper/2607.14650","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:6f7af86a88f87d1ac823ead25c6cef364328b829e3e6344cfe16bd7e809fbfd3","observation_id":"a425b91c-510a-412e-aa9f-286c475a1501","resolution":{"observed_at":"2026-07-31T17:19:48.533188Z","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":"2026-07-31T17:19:48.566952Z","title":"Gu and S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.566952Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:a626b1c1e361b6fdc1c7d4fecd0e24835c287f43f376ae04c4da3eff9857e4d3","observation_id":"d2ec7523-9ecb-466b-8181-7f9c6f8b736b","resolution":{"observed_at":"2026-07-31T17:19:48.566952Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.10666","last_updated":"2026-05-16T15:46:00Z","snapshot_observed_at":"2026-07-06T23:22:37.355450Z","submitted_at":"2026-05-11T14:45:46Z","title":"Multivariate Decoded Quantum Interferometry for Weighted Optimization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.10666","snapshot_observed_at":"2026-07-31T17:19:48.604138Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.604138Z"},"links":{"cited_paper":"/paper/2605.10666","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:4af200f6344a1fb1daba2a1f9d14121381cb723c1ce093df5af67fbe87114ccc","observation_id":"9f19f774-ebbd-4911-80d6-c92309c5dfc2","resolution":{"observed_at":"2026-07-31T17:19:48.604138Z","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":"2026-07-31T17:19:48.644771Z","title":"Schmidhuber, J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.644771Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:f20588a53182a379f080cdb695044199e6f13ca5e9ef93910baf7671bcb5fd54","observation_id":"949cd5a7-20aa-4ce2-a26d-60d182e437d2","resolution":{"observed_at":"2026-07-31T17:19:48.644771Z","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":"2026-07-31T17:19:48.682719Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.682719Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:1b8b1d3d7369ec3261ddad38f0d90a25673557155b52f26950b0061b9b662627","observation_id":"0a0faae7-03ec-4a78-b743-1ce8ff0158cb","resolution":{"observed_at":"2026-07-31T17:19:48.682719Z","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":"2026-07-31T17:19:48.718756Z","title":"Hangleiter and J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.718756Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:381f932a539ab9b2c17a42fdd15e19956eeaa92111df2273188ffebde147f599","observation_id":"f9760c11-757e-444f-a738-91a84b873a29","resolution":{"observed_at":"2026-07-31T17:19:48.718756Z","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":"2026-07-31T17:19:48.753872Z","title":"Liu,Monte Carlo strategies in scientific computing, edited by J","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.753872Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:fdc5a2c4cf32447db72f4e60197f6360ad9a1eb790d8fd7560650d7e9be635af","observation_id":"f17c1e0e-6e61-4bdc-aab6-f1451c1ca016","resolution":{"observed_at":"2026-07-31T17:19:48.753872Z","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":"2026-07-31T17:19:48.793739Z","title":"Gilks, S","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.793739Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:0afaa437dc84291e709fe09bfce245267533dbea5910b3dfc8acfa925c879cdb","observation_id":"3c8e6617-49f5-497d-95ac-c512b854f9e7","resolution":{"observed_at":"2026-07-31T17:19:48.793739Z","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":"2026-07-31T17:19:48.838263Z","title":"Robert and G","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.838263Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:3d0ea375aee76391ea96eb815a0c7a73020797a8f213437db18bceefbc6e985c","observation_id":"1807ee4e-f8a5-4e64-acec-a9bc54b8a98b","resolution":{"observed_at":"2026-07-31T17:19:48.838263Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1011.3245","last_updated":"2010-11-14T18:36:44Z","snapshot_observed_at":"2026-08-05T06:16:48.305921Z","submitted_at":"2010-11-14T18:36:44Z","title":"The Computational Complexity of Linear Optics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1011.3245","snapshot_observed_at":"2026-07-31T17:19:48.878894Z","title":"Aaronson and A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.878894Z"},"links":{"cited_paper":"/paper/1011.3245","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:599ea0090552881cad35f2ef8fcbb1b1c5272c869ec19aff54a21139026a14ca","observation_id":"97f4f8f5-3eb6-4bc0-a6f1-c6c7b4722db2","resolution":{"observed_at":"2026-07-31T17:19:48.878894Z","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":"2026-07-31T17:19:48.924099Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.924099Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:8d4530ac840be26d03da37d372b3ce559af1741d02223b2300407922b960e227","observation_id":"dad3d823-a75c-41de-ac14-0cdcf0d583e3","resolution":{"observed_at":"2026-07-31T17:19:48.924099Z","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":"2026-07-31T17:19:48.966401Z","title":"H˚astad, Some optimal inapproximability results, J","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:48.966401Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:d1ce50c6b6511b7ac38e13cfae9b0ffd4c1b0d1ca1600c651b81bbc5a29dff36","observation_id":"3dfb2d85-0607-4b13-935c-a6db9fd71698","resolution":{"observed_at":"2026-07-31T17:19:48.966401Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.16541","last_updated":"2026-07-22T04:55:03Z","snapshot_observed_at":"2026-08-01T20:50:14.751758Z","submitted_at":"2026-07-17T22:33:06Z","title":"Efficient Exact Quantum Sampling from the Sun-Wootters Distribution for Optimal Polynomial Intersection","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.16541","snapshot_observed_at":"2026-07-31T17:19:49.016908Z","title":"Jo, Efficient exact quantum sampling from the sun-wootters distribution for optimal polynomial intersection, arXiv preprint arXiv:2607.16541 (2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.016908Z"},"links":{"cited_paper":"/paper/2607.16541","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:4756fd641313e325c48904b1ae9ba509f2b0c0c7d171763bb54d0c94fbd16bc7","observation_id":"be53f1f5-9844-45ed-8bc7-2607a923b84e","resolution":{"observed_at":"2026-07-31T17:19:49.016908Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.24633","last_updated":"2026-07-02T21:38:10Z","snapshot_observed_at":"2026-08-02T12:11:17.371343Z","submitted_at":"2026-04-27T16:02:59Z","title":"Optimization Using Locally-Quantum Decoders","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.24633","snapshot_observed_at":"2026-07-31T17:19:49.067211Z","title":"Shutty, A","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.067211Z"},"links":{"cited_paper":"/paper/2604.24633","citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:142b68c8fe3d09708f71413ec165dbea01eed193d19ddb049cd0d41343cedc42","observation_id":"2ef26c19-f7c2-462f-8a87-15eb4be32756","resolution":{"observed_at":"2026-07-31T17:19:49.067211Z","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":"2026-07-31T17:19:49.112787Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.112787Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:cdafd4f911db7d355e49c2a558f408e1962a33384c1ab6f635299f39e2c7fb46","observation_id":"8807a19e-77bd-4200-95be-33858a5a4f14","resolution":{"observed_at":"2026-07-31T17:19:49.112787Z","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":"2026-07-31T17:19:49.144893Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.144893Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:1b303680a8ad508c9e0b9fbc802abc43d2a5e59f83a4193b9904c31f8e33f855","observation_id":"b8954e01-734b-4420-9c63-ec177553e534","resolution":{"observed_at":"2026-07-31T17:19:49.144893Z","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":"2026-07-31T17:19:49.195109Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.195109Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:c14663f689c0b3bb730717f8b8ca963f846e702a6ece79a858f588abcedcc32e","observation_id":"efe3fe2b-1b9c-48f9-84ea-56b49b1f358c","resolution":{"observed_at":"2026-07-31T17:19:49.195109Z","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":"2026-07-31T17:19:49.245742Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.245742Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:ec5396abca63ab3ca67691a87e45920596610c7c709d0b0caee6ea379690b895","observation_id":"4f4d7262-0d49-4d59-b415-a44a3e102e42","resolution":{"observed_at":"2026-07-31T17:19:49.245742Z","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":"2026-07-31T17:19:49.282444Z","title":"One natural way to define a decisionproblem would be, given a thresholdα∈Z, decide between: •YES: if there existsx∈F n 2 such thatf(x)≥α","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.282444Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:e0ec67cfdeaefc8d069fac2940cd3a9f5ce01eebc39842d5f1b272da5f4921f6","observation_id":"3319f622-e49d-4c8e-b419-e7fe09eda71b","resolution":{"observed_at":"2026-07-31T17:19:49.282444Z","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":"2026-07-31T17:19:49.287373Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.287373Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:e5aff0322af8b591a82690a82ad7763c43c76b7ca8ce1bc35c9a2e0f353b7f2d","observation_id":"965d3618-ff87-48c6-82af-4081859f1c60","resolution":{"observed_at":"2026-07-31T17:19:49.287373Z","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":"2026-07-31T17:19:49.292052Z","title":"(b) Query the oracle","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.292052Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:871a66e57fca7fd4bf937f89da7cdac66f0c16f75a721715c9be1c941cc4bfea","observation_id":"5ea4237c-b67d-4a44-80be-642e0e755c98","resolution":{"observed_at":"2026-07-31T17:19:49.292052Z","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":"2026-07-31T17:19:49.296530Z","title":"Under the promise that a solution exists, Oα ((⊥)n) =YES , we reach a solution x after n queries","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.296530Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:57fd9711f61d67d86258f670c89ecc341bb53432e65120be0d2b80164c555504","observation_id":"a1ecdb15-414e-4768-b89d-5bad49f5a413","resolution":{"observed_at":"2026-07-31T17:19:49.296530Z","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":"2026-07-31T17:19:49.301946Z","title":"breaks down","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.301946Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:7cd9ce2976b3e7ff3c773ab85818758c7a7ce9417e761dd4e276a6b7ee42f2a7","observation_id":"d3e978b8-efb2-4eeb-b918-602856b152f5","resolution":{"observed_at":"2026-07-31T17:19:49.301946Z","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":"2026-07-31T17:19:49.307054Z","title":"From decoding being NP-hard, it follows that certain structure is required for DQI to perform well","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-31T17:19:49.307054Z"},"links":{"citing_paper":"/paper/2607.28120"},"observation_digest":"sha256:be553ff1c4a944bec4634091803ed24b18457e2ab8868b94e08a48182d43c873","observation_id":"50d56795-65dd-450d-9727-89568d6d263c","resolution":{"observed_at":"2026-07-31T17:19:49.307054Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.28120","last_updated":"2026-07-30T12:29:15Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-06T12:45:48.070993Z","submitted_at":"2026-07-30T12:29:15Z","title":"Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods"},"reference_resolution":{"displayed":46,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":46,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":46},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2607.28120."}