{"as_of":"2026-08-10T06:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d280728ef5b0b002d230cc48c8dfc43b3a9ea723513ae7778e01531356c11e52","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":"2026-08-09T06:31:02.800959+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":"2026-08-09T11:44:31.494204Z","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:f86b66a5321a82605f8143937f2722a5245b7212ee900eaaf18139cc0ba2c687","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":"2026-08-09T11:44:31.494204Z","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":"sha256:67fce287763c5c78463868698c197442a31b3314cf448d97ec95ae1f5ce898d3","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":"2026-08-09T11:44:31.494204Z","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:de0f009c78dd405c3b767063579f4319f710a2e6dd7002afee282451c37c4284","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":"2026-08-09T11:44:31.494204Z","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":"sha256:0453afbcc3b1f0ba8757aed705772d7a1b47c4a9b522d9f7d84f0b4717a970af","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":"2026-08-09T11:44:31.494204Z","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":"sha256:7d814bb7c0ae3f262d55e209b9b525d9ffdc61261bd244f33a676733015c08f8","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":"2026-08-09T11:44:31.494204Z","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":"sha256:25c2d8ad39b47b49e6be29af19c61f1f71930691aa41751a6457ca68d6226934","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":"2026-08-10T02:29:33.515926Z","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":"2026-08-09T11:44:31.494204Z","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:cc534fc16752f513108c7b044efbd905a1b458aaf65202789fd6af21ff0a6261","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":"2026-08-09T11:44:31.494204Z","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":"sha256:774ca3f6d1b5b569c94605a41ee79cddb2bd45ab39f561f9fa2847d7a4148320","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":"2026-08-09T11:44:31.494204Z","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:f7ec85a9af042208635e2e9c216596a5ff255c8c08b77bbf81318859f1d5edce","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":"2026-08-09T11:44:31.494204Z","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:c82d668d1ddee121162875953be11362846ea3b26a33be3ce21071e6b7ee8418","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":"2026-08-09T11:44:31.494204Z","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":"sha256:110594f72079d443d6214c37caaf497214e6ad7c6cb4e8fdee9242ca14168e02","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":"2026-08-09T11:44:31.494204Z","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":"sha256:5738460c31a5655a50f18502cce9a509e6e794398a7fb1d218bc49c44783eaa5","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":"2026-08-09T11:44:31.494204Z","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":"sha256:19caa8d82ea26039c0e74e2fc5d44fac4e5d632246b0f6a663214e7d578d208d","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":"2026-08-09T11:44:31.494204Z","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":"sha256:84239ceeb4df8939b97c5687afefe1b548dfe372f37b953025204beebd2124fd","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":"2026-08-09T11:44:31.494204Z","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:c006c18b9530e1f8c328fbe00d867cb1b24223d96069f2cbc0886626aeab49cf","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":"2026-08-09T11:44:31.494204Z","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":"sha256:3a6e32493875e267548c0ade87d0af07d62e79845e7c05934e4648cd76f5aa21","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":"2026-08-07T07:25:52.992648Z","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":"2026-08-09T11:44:31.494204Z","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":"sha256:875da404614b0dd13c22e1859a21d27059d95e4d2cd78cdd9af15206f16c3325","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":"2026-08-09T11:44:31.494204Z","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":"sha256:6d832e4d03a30bea25819f18c5044daec8d233fbb8259af4bb6a01b8795afac7","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":"2026-08-09T11:44:31.494204Z","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:f7d90bf80f106a1cc24eb30f4031961f737371bbd88f1ff94a116a9f2d33b7b5","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":"2026-08-09T11:44:31.494204Z","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":"sha256:0a7cc1b2964a3fb272593a44fa9d381201cc9d6e28f3c293aae1842c17008585","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":"2026-08-09T11:44:31.494204Z","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":"sha256:2aa035e487d797c72241b028e8dd03b054afc0d5ca05d7440b6b4a7e2fcd64ce","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":"2026-08-09T11:44:31.494204Z","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":"sha256:8d4af6e7e77daa00ad72e62803d89b272d6ff4edb586dabaa533fdb91077ecdc","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":"2026-08-09T11:44:31.494204Z","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":"sha256:9b54d4e03b218f34402bad13576fa2367dec82e9f8ae0ab6c2987549bfa00fd0","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":"2026-08-09T11:44:31.494204Z","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":"sha256:2fb728cf78fcb5620d76e88dd8f72361417a3e53fa9cf3cd83f254819644b4de","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":"2026-08-09T11:44:31.494204Z","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":"sha256:84cefc12b5d62ceda1625bc1845c2aacff9528c27c47c2543ae4f08cc2a58da2","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":"2026-08-09T11:44:31.494204Z","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":"sha256:2064964f2a78ef40ac3d1c9692bb6729b5191432f52cdc6d9a8a510581c561bb","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":"2026-08-09T11:44:31.494204Z","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":"sha256:746ea50da7f9fc3520d3e20cd41c83c79f8125875a037ecdcae81befa9f14214","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":"2026-08-09T11:44:31.494204Z","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":"sha256:01ca381ccece96c0abcfb1c51638e3c635f3b857f4621bb8f87a8c2db928dc04","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":"2026-08-09T11:44:31.494204Z","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:d6aa95e382b4346138e9ecbd094fa0f9c97118b4610399a0b347c177bcfed430","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":"2026-08-09T11:44:31.494204Z","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:cb5e48f8ecd3a486b7bab3a97841594fe1413a0b1e14a15aff5343463cff322b","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":"2026-08-09T11:44:31.494204Z","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":"sha256:9349f0dad50750203ba2da356384ed37d6626a2ed9e36d44dae37e35195c0186","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":"2026-08-09T11:44:31.494204Z","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":"sha256:619ee260d6838544b98b342e1f9bec940a0a275539fcb5852c57ef26f8038bdf","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":"2026-08-09T11:44:31.494204Z","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":"sha256:4c5d0548c3568b0b1abea930cb844968deca6004a42fca5ee86bf8c7cf5ed765","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":"2026-08-09T11:44:31.494204Z","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:e77c6fc85b08799da2723417a8ac1d9ea4b332e6e254dbaea048205f2e346fa6","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":"2026-08-09T13:09:35.005616Z","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":"2026-08-09T11:44:31.494204Z","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":"sha256:592d647d08801171918fb22c8ccd74ce6c2ed767ac8e18e8ed1e34c155f007d7","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":"2026-08-09T11:44:31.494204Z","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:b93f877e60231f9ed93d9411027eb8f4f06791dab9afd9f4a9203e97205fa1cf","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":"2026-08-09T11:44:31.494204Z","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":"sha256:266d8bf71dedf37421181a885a7944312841479f3bd91a3535984715600dc592","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":"2026-08-09T11:44:31.494204Z","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":"sha256:9b061de5e1b3d26e05dfab3b65a79d7dc7486037344617640a2ce1a6ec7d9068","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":"2026-08-09T11:44:31.494204Z","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:d577475355348746e2100ebc8772692f05d2e9f7dc530433659542eeec1e8f18","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":"2026-08-09T11:44:31.494204Z","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:fabe07ef72dd30a457a31554c3a97b5d782ceb7b9b69f0288875c9e81449fbbc","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":"2026-08-09T11:44:31.494204Z","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:f7acff17c87eee2e4e18d2b772835bbcb222ac39ac2eac49b976735690eb0b69","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":"2026-08-09T11:44:31.494204Z","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:f421b88bbb106d7b9a983a19579c6f60dda19156abe577bc9422ad20135e610f","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":"2026-08-09T11:44:31.494204Z","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:b8f451725a20504ff9945007ab72c399f1be03e3f9f662e5f7bd97f1249402f0","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":"2026-08-09T11:44:31.494204Z","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":"sha256:431753e36240f95bd1bbb793e1349ba13f5eef74715b3cf82771d30b4adadfd8","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":"2026-08-09T11:44:31.494204Z","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":"sha256:47b58a6839cda889c5a8f72ece01b0d89d6f9ee1ecfde3f18c8f05c7bfbfb8b2","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":"2026-08-09T11:44:31.494204Z","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":"sha256:7fbaf25abe3a0f6516b3d2bbcbc8abac32b38d3a702fce3e4b1ac6fe4f342e29","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":"2026-08-09T11:44:31.494204Z","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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2607.28120."}