{"as_of":"2026-08-17T15:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ea84dd781178c176c77aa3ba861ea34ae21060eb4921fe34955aab4940a9f374","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:13:01.362763Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/2608.02726/citation-record","integrity":"/paper/2608.02726/integrity","json":"/paper/2608.02726/citation-record.json","paper":"/paper/2608.02726"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2209.11793","last_updated":"2022-09-23T18:14:16Z","snapshot_observed_at":"2026-08-16T16:30:15.807141Z","submitted_at":"2022-09-23T18:14:16Z","title":"Clique Homology is QMA1-hard","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.11793","snapshot_observed_at":"2026-08-15T15:13:01.224438Z","title":"Marcos and Kohler, Tamara , title =","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.224438Z"},"links":{"cited_paper":"/paper/2209.11793","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:be5a0920501df1b083a01fa14918b6a4c726161cbab17d6cdfc440747d403558","observation_id":"63075007-5a2c-488e-a114-127a6562d1b1","resolution":{"observed_at":"2026-08-15T15:13:01.224438Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.980451Z","title":"Complexity of simplicial homology and independence complexes of chordal graphs , journal =","venue":null,"work_id":"40da4c02-dd73-4137-b357-07f55f28eb34","year":2016},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.230988Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:0c4351ab2423dad1391802a6b353df305cb58454168a5f55e425150a4a84f5fc","observation_id":"a904d74e-67e8-4d84-a7e4-29038b9fb604","resolution":{"observed_at":"2026-08-15T15:13:01.985192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.17234","last_updated":"2024-10-06T23:00:19Z","snapshot_observed_at":"2026-08-16T20:03:23.579808Z","submitted_at":"2023-11-28T21:15:30Z","title":"Gapped Clique Homology on weighted graphs is $\\text{QMA}_1$-hard and contained in $\\text{QMA}$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.17234","snapshot_observed_at":"2026-08-15T15:13:01.235056Z","title":"arXiv preprint arXiv:2311.17234 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.235056Z"},"links":{"cited_paper":"/paper/2311.17234","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:14b97ee7c5023b331b9fb57e59c0df48c61e470de27d5f601866d1b72f85b842","observation_id":"789e4f94-5282-488c-8b07-2702a386eb33","resolution":{"observed_at":"2026-08-15T15:13:01.235056Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.966255Z","title":"Nature Communications , volume =","venue":null,"work_id":"3c1262f5-b2b9-496d-882d-22b95553fa39","year":2016},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.240151Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:c2a470625a85396adbd9b9f95a51483fa5a0348131c0b4d7f05f5a6f21d083b5","observation_id":"b447c897-d0ab-4f45-a879-f096fd88efd1","resolution":{"observed_at":"2026-08-15T15:13:01.970708Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.14286","last_updated":"2024-01-06T17:51:42Z","snapshot_observed_at":"2026-08-16T16:29:08.494566Z","submitted_at":"2022-09-28T17:53:25Z","title":"Complexity-Theoretic Limitations on Quantum Algorithms for Topological Data Analysis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.14286","snapshot_observed_at":"2026-08-15T15:13:01.244655Z","title":"PRX Quantum , volume =","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.244655Z"},"links":{"cited_paper":"/paper/2209.14286","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:64d5741faa54bd3a19cb32bfa147105ccdc18916a16b8bcbfeefd8ea78eca141","observation_id":"d830f12e-973c-4c9e-a970-de1ee676843d","resolution":{"observed_at":"2026-08-15T15:13:01.244655Z","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":"10.22331/q-2022-12-07-873","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.620343Z","title":"Quantum , year =","venue":null,"work_id":"ad226b52-3e99-4f98-9f76-9a836861a924","year":2022},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.249589Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:4d72152f98118fa2fa15602120477c546e8de4e35a2ed2530c14d8dd528cddfb","observation_id":"019dce4a-c969-410c-9113-21f1fd3633ff","resolution":{"observed_at":"2026-08-15T15:13:01.625052Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.254326Z","title":"PRX Quantum 7, 020361 (2026) , year =","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.254326Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:b64b06d64e59db11ae5de5ee21cbad65d733d7d221f393da83f8e1cdefae31a8","observation_id":"f47cc48c-632f-4b66-9dcf-39ce7d2a30c9","resolution":{"observed_at":"2026-08-15T15:13:01.254326Z","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":"10.48550/arxiv.2510.07014","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.593126Z","title":"arXiv preprint , year =","venue":null,"work_id":"4f7f51a0-5d67-4dbf-88e0-2f180d737871","year":null},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.259492Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:7eb7ddb63dc5380b19bc113fa321eb18aced331a198aac3bc183ccc5066fa28f","observation_id":"1f740f19-542a-42ec-bcd2-c0e11ddf653d","resolution":{"observed_at":"2026-08-15T15:13:01.598919Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.03278","last_updated":"2026-07-03T12:46:53Z","snapshot_observed_at":"2026-08-13T02:54:24.214393Z","submitted_at":"2026-07-03T12:46:53Z","title":"Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians","version":1},"cited_work":{"arxiv_id":"2607.03278","doi":"10.48550/arxiv.2607.03278","metadata_source":"pith","pith_arxiv_id":"2607.03278","snapshot_observed_at":"2026-08-15T18:16:14.067578Z","title":"Complexity of Normalized Persistence Problems for Topological Data Analysis and Local Hamiltonians","venue":"quant-ph","work_id":"7585a92a-388f-4c08-88a4-ed4ec254758a","year":2026},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.264015Z"},"links":{"cited_paper":"/paper/2607.03278","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:5fda7bdeef64e0fd5a91315e8cb303e066cfc38c6d33fe972a797bfb93371cc0","observation_id":"12580fdb-1d37-401b-8151-e612b868cd32","resolution":{"observed_at":"2026-08-15T15:13:01.526803Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.02681","last_updated":"2025-04-11T15:47:05Z","snapshot_observed_at":"2026-08-16T13:02:57.677216Z","submitted_at":"2024-11-04T23:39:27Z","title":"Towards a universal gateset for $\\mathsf{QMA}_1$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.02681","snapshot_observed_at":"2026-08-15T15:13:01.269192Z","title":"arXiv:2411.02681 [quant-ph] , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.269192Z"},"links":{"cited_paper":"/paper/2411.02681","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:67dd592ddbd8fedd55c98290c4f0ffb1185675e1df8a6f70bc12160986b70d44","observation_id":"f941be2c-1605-4e47-85c5-fc279c0dd00a","resolution":{"observed_at":"2026-08-15T15:13:01.269192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.03230","last_updated":"2025-06-03T21:57:45Z","snapshot_observed_at":"2026-08-16T14:47:00.195028Z","submitted_at":"2024-11-05T16:21:48Z","title":"Fermionic Independent Set and Laplacian of an independence complex are QMA-hard","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.03230","snapshot_observed_at":"2026-08-15T15:13:01.274213Z","title":"arXiv:2411.03230 [quant-ph] , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.274213Z"},"links":{"cited_paper":"/paper/2411.03230","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:dd7b8f0f70c6c24cd661d70bdc2f9fe1b35945cd271484765e0a47e0fef993f3","observation_id":"207be939-7ec1-4cc5-88fc-ed8ca0152113","resolution":{"observed_at":"2026-08-15T15:13:01.274213Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1311.3297","last_updated":"2013-11-13T21:00:01Z","snapshot_observed_at":"2026-08-14T23:55:24.855851Z","submitted_at":"2013-11-13T21:00:01Z","title":"The Bose-Hubbard model is QMA-complete","version":1},"cited_work":{"arxiv_id":"1311.3297","doi":null,"metadata_source":"pith","pith_arxiv_id":"1311.3297","snapshot_observed_at":"2026-08-15T15:13:01.733672Z","title":"The Bose-Hubbard model is QMA-complete","venue":"quant-ph","work_id":"773fa939-1826-4948-84c1-34b8bb7fac73","year":2013},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.278767Z"},"links":{"cited_paper":"/paper/1311.3297","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:0eab8bdc1a23f504d2d319b571bc7b37ad4f7e812808609c6dbc3be7ff9b26a2","observation_id":"197b1555-9058-4cee-8c24-98681fd51088","resolution":{"observed_at":"2026-08-15T15:13:01.738408Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.18010","last_updated":"2023-10-27T09:36:11Z","snapshot_observed_at":"2026-08-16T14:48:20.485345Z","submitted_at":"2023-10-27T09:36:11Z","title":"The 7 faces of quantum NP","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.18010","snapshot_observed_at":"2026-08-15T15:13:01.283436Z","title":"arXiv:2310.18010 [quant-ph] , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.283436Z"},"links":{"cited_paper":"/paper/2310.18010","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:e7681b20240a47905cf598f60a8301bfeb4d6191bcb354665e2b9c1cbfbf6b12","observation_id":"4600c2ed-57a6-4892-8c19-1d96b40d19d0","resolution":{"observed_at":"2026-08-15T15:13:01.283436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.288654Z","title":"arXiv:2510.07995 [quant-ph] , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.288654Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:5d255f24fd7090426089601957502b91f7e87612571655ba43b88513af8feb56","observation_id":"3d7c22d0-7dbd-47ae-9823-518fcc277a2f","resolution":{"observed_at":"2026-08-15T15:13:01.288654Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.952405Z","title":"Senior Thesis, Bard College , volume =","venue":null,"work_id":"b25aaba0-9319-4b6e-933f-08c7045935fa","year":null},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.293290Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:b8e7abb16c3485e8e3c3012931afe0a5c9ea7fbc5bd6415c7a35c31c99b964bf","observation_id":"25f5889e-ab27-4d47-90a0-c1586a9d1ddd","resolution":{"observed_at":"2026-08-15T15:13:01.956676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1411.4906","last_updated":"2015-08-25T15:09:10Z","snapshot_observed_at":"2026-08-14T23:11:10.250369Z","submitted_at":"2014-11-18T16:50:19Z","title":"On Eigenvalues of Random Complexes","version":3},"cited_work":{"arxiv_id":"1411.4906","doi":null,"metadata_source":"pith","pith_arxiv_id":"1411.4906","snapshot_observed_at":"2026-08-15T15:13:01.698200Z","title":"On Eigenvalues of Random Complexes","venue":"math.CO","work_id":"34dfc321-48c2-4c72-a6fa-155ad86d4420","year":2014},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.297845Z"},"links":{"cited_paper":"/paper/1411.4906","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:c2aea6006e244149be7f1d6dae756905851aa71ff2c051f99917c003540ac100","observation_id":"5b3ee16c-f254-4e08-9464-3145e20dc63b","resolution":{"observed_at":"2026-08-15T15:13:01.702914Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.938909Z","title":"Advances in Mathematics , volume=","venue":null,"work_id":"bdc9e93c-52ec-4919-874b-0b028e8ccb57","year":2013},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.302423Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:1311ea5794bda4da65ea91bc8c6b5b4feb375cfeb53cdb3ed99eb719da188c01","observation_id":"d54f046f-408f-4e70-a458-ed06de9e7ce8","resolution":{"observed_at":"2026-08-15T15:13:01.943333Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.925313Z","title":"Complexity of simplicial homology and independence complexes of chordal graphs","venue":null,"work_id":"d8afe652-8f98-45ce-b6fe-f835e7859e2e","year":2016},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.306939Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:cca8b6e2261615ffdcb69008a530fd8a4733c135ffd04ae657bb1fee5add482e","observation_id":"531f886e-f73c-4a18-9593-f6ba53cb9de9","resolution":{"observed_at":"2026-08-15T15:13:01.929645Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.910639Z","title":"Marcos Crichigno and Tamara Kohler","venue":null,"work_id":"54c5a688-f666-4fdd-a87c-a0ff324fa9a7","year":2024},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.311129Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:bb19bd3b717bf3cd9afba9a53ca35211ced9b1a66fc4461f966cd58f2e105475","observation_id":"6240b456-11b9-47fe-ba05-9b5ca0abb57c","resolution":{"observed_at":"2026-08-15T15:13:01.915174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.896467Z","title":"Goldberg","venue":null,"work_id":"2d74395e-4dab-49bd-8685-979e58caae8f","year":2002},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.315039Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:ee4ccd4210466c429767a1f2a263bf87f559b458727788d2580691b321641e30","observation_id":"e8a7dd9d-564b-426b-b946-00556a56bb12","resolution":{"observed_at":"2026-08-15T15:13:01.900598Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.882110Z","title":"Provable quantum speedups for computing persistence in topological data analysis","venue":null,"work_id":"cf1e98cb-df13-4b21-baa3-94005227e601","year":2026},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.319052Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:9703ef916bb5aceda4fc55a3265509c21983ac59a4847d51d0d622f5dbc002fe","observation_id":"ca5d1569-84d6-4ad3-8bc5-4c62742d6e30","resolution":{"observed_at":"2026-08-15T15:13:01.886620Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.867365Z","title":"On eigenvalues of random complexes","venue":null,"work_id":"c5270373-30ad-4897-b4a6-5092e6cc94d9","year":2016},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.322981Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:c6e21f8854569c5f0473e31f5b50a5f7beb1e079dfbd5791e646a8870e5187bb","observation_id":"1e306c75-1325-43c1-810c-818b59c13a5f","resolution":{"observed_at":"2026-08-15T15:13:01.871858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.850803Z","title":"Quantum algorithm for persistent B etti numbers and topological data analysis","venue":null,"work_id":"e3a18ba8-5843-4a50-810f-9c0ab9352005","year":2022},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.327198Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:1f394c514fc3d09991ff3fdb2d66b5a4b7f2111a337fe105c482016a88803c31","observation_id":"f99d2d88-047f-4af3-a939-02579f87b4ca","resolution":{"observed_at":"2026-08-15T15:13:01.856084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.834684Z","title":"Computational complexity of the homology problem with orientable filtration: MA -completeness","venue":null,"work_id":"cfc3d371-911a-4ed9-a236-9834ef2b82f2","year":2025},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.331505Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:99cb5bafb1c3e1a9cc99447b2810a715006c24fc3c6cd7366652dba0ccc3d6ca","observation_id":"ffce5a79-06f3-4f2a-916b-09cbcd1b266b","resolution":{"observed_at":"2026-08-15T15:13:01.839433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.819825Z","title":"Spectra of combinatorial laplace operators on simplicial complexes","venue":null,"work_id":"95118f28-3f97-4b46-8470-93f9e26504d8","year":2013},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.335531Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:3adddf6ad7ae512d01374a312ecc3cf9dd24b6e7d6731be4e4fc9caa84ef0de8","observation_id":"4f87f8cb-3ad5-41e9-b17e-3ee942e06b6d","resolution":{"observed_at":"2026-08-15T15:13:01.824767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.17234","last_updated":"2024-10-06T23:00:19Z","snapshot_observed_at":"2026-08-16T20:03:23.579808Z","submitted_at":"2023-11-28T21:15:30Z","title":"Gapped Clique Homology on weighted graphs is $\\text{QMA}_1$-hard and contained in $\\text{QMA}$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.17234","snapshot_observed_at":"2026-08-15T15:13:01.339795Z","title":"Gapped clique homology on weighted graphs is QMA _1 -hard and contained in QMA","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.339795Z"},"links":{"cited_paper":"/paper/2311.17234","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:32b43c6a07fd18b7700a8c824eb8cc16ec3a700543fbf668e461f56893e6a628","observation_id":"c3169588-1e82-4ad1-b50e-0aef0fd346fd","resolution":{"observed_at":"2026-08-15T15:13:01.339795Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.805257Z","title":"Quantum algorithms for topological and geometric analysis of big data","venue":null,"work_id":"2fc4a876-a2cf-4a51-8a04-7b94248a5db2","year":2016},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.345103Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:9a762a71232681ff98997b26c1e0b1fceab4b22b87c122511b2fd9d2ce485853","observation_id":"0c7801b7-8a37-4455-957d-d85a4b8f9ba4","resolution":{"observed_at":"2026-08-15T15:13:01.810131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.791988Z","title":null,"venue":null,"work_id":"59186a41-4ad3-45f9-8735-ab6af5de1bf2","year":2026},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.349469Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:83a9005af0b357ed987bae8429f80dfe2bfd2a246021554c26c65bdd70901071","observation_id":"d5a90508-2634-4712-8db1-504bf563d833","resolution":{"observed_at":"2026-08-15T15:13:01.796018Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.03230","last_updated":"2025-06-03T21:57:45Z","snapshot_observed_at":"2026-08-16T14:47:00.195028Z","submitted_at":"2024-11-05T16:21:48Z","title":"Fermionic Independent Set and Laplacian of an independence complex are QMA-hard","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.03230","snapshot_observed_at":"2026-08-15T15:13:01.353784Z","title":"Fermionic I ndependent S et and L aplacian of an independence complex are QMA -hard","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.353784Z"},"links":{"cited_paper":"/paper/2411.03230","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:5736dd17681ebd2b6794de531a975ebcf5fe1150b40b057226ccd49695f605bb","observation_id":"da7a1722-ab78-4dd8-ab52-4e03ca020745","resolution":{"observed_at":"2026-08-15T15:13:01.353784Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.02681","last_updated":"2025-04-11T15:47:05Z","snapshot_observed_at":"2026-08-16T13:02:57.677216Z","submitted_at":"2024-11-04T23:39:27Z","title":"Towards a universal gateset for $\\mathsf{QMA}_1$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.02681","snapshot_observed_at":"2026-08-15T15:13:01.358342Z","title":"Towards a universal gateset for QMA _1","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.358342Z"},"links":{"cited_paper":"/paper/2411.02681","citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:bd3e965e420fe256a868029a1aac1c8ab53e2c5b4150b57ee3e3b248b006ec6a","observation_id":"8b23b0f7-9dc8-48ce-9541-5a5ef37a47af","resolution":{"observed_at":"2026-08-15T15:13:01.358342Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:01.777888Z","title":"Complexity-theoretic limitations on quantum algorithms for topological data analysis","venue":null,"work_id":"8903743f-b660-4e4c-b7db-0c9162ed95e3","year":2023},"citing_paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:01.362763Z"},"links":{"citing_paper":"/paper/2608.02726"},"observation_digest":"sha256:8cfe1877bd53252ec52a71feac7cf87a02338cb6051535a1eb01deee4c9c338b","observation_id":"35588f4e-ee26-438a-954a-a6b336df7cd0","resolution":{"observed_at":"2026-08-15T15:13:01.782175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.02726","last_updated":"2026-08-03T18:00:02Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-17T12:34:24.853549Z","submitted_at":"2026-08-03T18:00:02Z","title":"Unweighted Gapped Clique Homology is $\\mathsf{QMA}_1$-complete"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":12,"verified_exact":3,"verified_fuzzy":14},"total_outbound_references":31},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.02726."}