{"as_of":"2026-08-11T02:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4572386b6a828bb0646ed10be6c0daff37bfae269d7d7063614d6fdf16d1b01b","coverage":[{"denominator":101,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T01:57:12.040480Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2607.28621/citation-record","integrity":"/paper/2607.28621/integrity","json":"/paper/2607.28621/citation-record.json","paper":"/paper/2607.28621"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T01:57:11.425518Z","title":"Proof.(1).We first construct the graph projectionpin- duced by the group homomorphismπ","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.425518Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:bcc4eeb79740db31639cca83829e77d3df98087cefd2807c0f3a5e0f39fcd28a","observation_id":"fca1ecd5-f116-4bf5-96c8-ca034dc8e83f","resolution":{"observed_at":"2026-07-31T01:57:11.425518Z","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":"2026-07-31T01:57:11.453497Z","title":"Since all maps areF 2-linear, it suffices to consider a basis vector","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.453497Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:9b9a4d8fdf1ea164498a331574ee57f5ef90556c5932859a46a2102fd47804f7","observation_id":"104aa92d-b94a-4100-a5e5-de173f4d3408","resolution":{"observed_at":"2026-07-31T01:57:11.453497Z","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":"2026-07-31T01:57:11.475043Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.475043Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:f462558fadef1a930f6efa9796c90110c9ad6132bc76e260ad8f2badbd12fd48","observation_id":"42a17ef0-e80e-40ec-8f08-ae6fb25c1b79","resolution":{"observed_at":"2026-07-31T01:57:11.475043Z","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":"2026-07-31T01:57:11.488899Z","title":"[24]; see Appendix E of its Supple- mental Material","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.488899Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:593ace8bc0df546ed7f7bf1b8d9c4477752232b83d90496ec500448d8626c1b4","observation_id":"da7be548-810d-4318-b40f-5b30d7fae44e","resolution":{"observed_at":"2026-07-31T01:57:11.488899Z","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":"2026-07-31T01:57:11.496981Z","title":"Most of the subroutines are discussed in the main text","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.496981Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:fdce8a4bbb83b3546d1fdf131d4e8cd9e77880b68ce244d73396c49a7d166dc0","observation_id":"a554f464-0954-47e7-8310-7b0deab6da7a","resolution":{"observed_at":"2026-07-31T01:57:11.496981Z","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":"2026-07-31T01:57:11.503124Z","title":"We provide the bound- ary maps for simple cyclic groups where the ring admits a compact polynomial representation","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.503124Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:9fa6993fa1fbc86cb50a74307c31d2b21cff90e783e3f204885ec6cb38be5440","observation_id":"77fcad04-0829-4697-82e2-d19c4979a18f","resolution":{"observed_at":"2026-07-31T01:57:11.503124Z","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":"2026-07-31T01:57:11.508955Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.508955Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:0f2b41e83dcbc5338d4066ee28e0e366c42ffafa706adb3ac93943c5f621806d","observation_id":"cc8d63be-1cac-4e93-8bf7-ef979e7b5158","resolution":{"observed_at":"2026-07-31T01:57:11.508955Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9512032","last_updated":"1996-04-16T19:48:00Z","snapshot_observed_at":"2026-07-07T07:26:05.303471Z","submitted_at":"1995-12-30T21:31:00Z","title":"Good Quantum Error-Correcting Codes Exist","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9512032","snapshot_observed_at":"2026-07-31T01:57:11.514269Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.514269Z"},"links":{"cited_paper":"/paper/quant-ph/9512032","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:9b967f74bd015233829d1382b8a383925988c49774f03383ae5a29fb44ea6f95","observation_id":"6df87c66-866b-4096-8788-16b8dc8518e1","resolution":{"observed_at":"2026-07-31T01:57:11.514269Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9601029","last_updated":"1996-05-13T10:43:34Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1996-01-29T18:05:15Z","title":"Multiple Particle Interference and Quantum Error Correction","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9601029","snapshot_observed_at":"2026-07-31T01:57:11.519751Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.519751Z"},"links":{"cited_paper":"/paper/quant-ph/9601029","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:77cb9158575e5cc262b97a98d2373bb42dc9a21cfe0dd82c7598f4a36cf57094","observation_id":"8162c667-2811-4264-8a10-38cb51f9554e","resolution":{"observed_at":"2026-07-31T01:57:11.519751Z","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":"2026-07-31T01:57:11.525300Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.525300Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:aea530603d3a8c999a78ffc3b30851b075441faa56a3b937ffab6c98fe268e90","observation_id":"a8ff18f1-53cd-4125-8cff-5c433a434f00","resolution":{"observed_at":"2026-07-31T01:57:11.525300Z","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":"2026-07-31T01:57:11.530151Z","title":"Panteleev and G","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.530151Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:47b1abfd7297ed9def77788bd8030dcd1c685c6ae2ec3421152ad13de44e3296","observation_id":"83ca0d4a-8f5a-4677-a712-ae4ed42ef303","resolution":{"observed_at":"2026-07-31T01:57:11.530151Z","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":"2026-07-31T01:57:11.548409Z","title":"Panteleev and G","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.548409Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:ed1cedf9b933a8ce4ef2ee39e442cadaacffc1a0ae731e0226acc4ff4c459ae2","observation_id":"032beaf4-8314-4e2a-96f2-7ca7d96544e4","resolution":{"observed_at":"2026-07-31T01:57:11.548409Z","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":"2026-07-31T01:57:11.553553Z","title":"Panteleev and G","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.553553Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:64f10d5fdfd90966e2875f45e2ed0b02accd910af0161c49575fce9d7585afc7","observation_id":"68404b63-7cbe-4bd9-aeb5-43cb026ef7c1","resolution":{"observed_at":"2026-07-31T01:57:11.553553Z","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":"2026-07-31T01:57:11.560202Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.560202Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:4919b038fd4f6aaa8c9c87632040d9f9daee4d1101e6ffa0ddeb4361eb9f5451","observation_id":"6eb4f5c5-7c7e-4389-966f-541ad83709ef","resolution":{"observed_at":"2026-07-31T01:57:11.560202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2603.28627","last_updated":"2026-03-30T16:10:08Z","snapshot_observed_at":"2026-08-09T07:47:35.087503Z","submitted_at":"2026-03-30T16:10:08Z","title":"Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2603.28627","snapshot_observed_at":"2026-07-31T01:57:11.565641Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.565641Z"},"links":{"cited_paper":"/paper/2603.28627","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:0c7becc0915ce129bddb37a14ce48aa34dd8e73e8f1bc25e7cff70c641d05969","observation_id":"f0490eeb-7adf-487a-8b73-3001de7d44bc","resolution":{"observed_at":"2026-07-31T01:57:11.565641Z","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":"2026-07-31T01:57:11.570607Z","title":"Bravyi, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.570607Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:e200eff018dc51e8468be73c8e4c2f8555bc7225b8d7f5b8a1ba1c493c90c625","observation_id":"04a09d4b-c0eb-45dc-b694-f42007eabaac","resolution":{"observed_at":"2026-07-31T01:57:11.570607Z","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":"2026-07-31T01:57:11.574960Z","title":"Liang, K","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.574960Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:4900881803aafe5abd53dd03e56f902e51ff4bdde0266126e8216baa4bea9452","observation_id":"c231c39c-e3fe-43b0-a203-5ccbca7442b6","resolution":{"observed_at":"2026-07-31T01:57:11.574960Z","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":"2026-07-31T01:57:11.588190Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.588190Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:bfad1c059dd7dc4231dd8614b866cdee8b4424006e9faf92315103ce7c7fcc5e","observation_id":"15f2ef7f-de10-4533-a74b-6f1562de0e67","resolution":{"observed_at":"2026-07-31T01:57:11.588190Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.06890","last_updated":"2023-07-31T00:45:52Z","snapshot_observed_at":"2026-07-06T15:26:03.107454Z","submitted_at":"2023-05-11T15:28:02Z","title":"Abelian and non-abelian quantum two-block codes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.06890","snapshot_observed_at":"2026-07-31T01:57:11.594752Z","title":"Wang, H.-K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.594752Z"},"links":{"cited_paper":"/paper/2305.06890","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:6bc5ca81321c3f64ac64b012547cd41fa1b9ab8c49495095a372ecb8abe51708","observation_id":"c4cd0429-26dd-409d-92d3-bbd86c72a569","resolution":{"observed_at":"2026-07-31T01:57:11.594752Z","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":"2026-07-31T01:57:11.613781Z","title":"Lin and L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.613781Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:51072a8271e3fd800fe85a2e2236d665de0fb654e247eb0e58dfcd38d08483f9","observation_id":"48052737-cccc-43e2-81c9-ff90cde31009","resolution":{"observed_at":"2026-07-31T01:57:11.613781Z","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":"2026-07-31T01:57:11.622246Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.622246Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:85d88d09569f86a91ef24d5cb1e713a2ed1db322852a9b8c5c5a8b903ca7b661","observation_id":"322f849e-a986-4695-ab94-f1ebaecf11e9","resolution":{"observed_at":"2026-07-31T01:57:11.622246Z","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":"2026-07-31T01:57:11.628646Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.628646Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:cfa714b7eeef3da97eb6ed2c8a885453c73fb3fda534c9d0e445e875562406b3","observation_id":"51c5a756-cbda-4d08-8b6c-ceab99fa339f","resolution":{"observed_at":"2026-07-31T01:57:11.628646Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0903.0566","last_updated":"2013-01-11T09:25:05Z","snapshot_observed_at":"2026-08-10T10:27:17.622654Z","submitted_at":"2009-03-03T16:41:00Z","title":"Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0903.0566","snapshot_observed_at":"2026-07-31T01:57:11.633225Z","title":"Tillich and G","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.633225Z"},"links":{"cited_paper":"/paper/0903.0566","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:5a56e81bc98c801f9c793c5800047daf8d7c0805d8022f820164fa5e136b0cf0","observation_id":"e28ca621-432c-498e-991e-73fedfc76263","resolution":{"observed_at":"2026-07-31T01:57:11.633225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.16736","last_updated":"2024-04-25T16:44:45Z","snapshot_observed_at":"2026-08-05T03:45:16.544796Z","submitted_at":"2024-04-25T16:44:45Z","title":"Lifts of quantum CSS codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.16736","snapshot_observed_at":"2026-07-31T01:57:11.638202Z","title":"Guemard, Lifts of quantum css codes (2024), arXiv:2404.16736 [quant-ph]","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.638202Z"},"links":{"cited_paper":"/paper/2404.16736","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:54ba784fdd43c3cb6b601f8efe1ae0e7d6996f92ea4fe4b5366761ba48b8ab08","observation_id":"a18b557b-6e44-4275-bb5d-b71be3e963b3","resolution":{"observed_at":"2026-07-31T01:57:11.638202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.14327","last_updated":"2025-05-20T13:11:53Z","snapshot_observed_at":"2026-08-07T15:34:13.254004Z","submitted_at":"2025-05-20T13:11:53Z","title":"Lifting a CSS code via its handlebody realization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.14327","snapshot_observed_at":"2026-07-31T01:57:11.643074Z","title":"Guemard, Lifting a css code via its handlebody real- ization (2025), arXiv:2505.14327 [quant-ph]","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.643074Z"},"links":{"cited_paper":"/paper/2505.14327","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:c7e6321992f9178a494a243a95f46ad02344e957b32f6c09d8aa0124ec021e2c","observation_id":"d4ebac4f-70b8-48dc-8f61-2a8e866fa951","resolution":{"observed_at":"2026-07-31T01:57:11.643074Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2511.13560","last_updated":"2026-08-06T13:04:59Z","snapshot_observed_at":"2026-08-09T23:12:01.018686Z","submitted_at":"2025-11-17T16:26:15Z","title":"Sequences of Bivariate Bicycle Codes from Covering Graphs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2511.13560","snapshot_observed_at":"2026-07-31T01:57:11.648124Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.648124Z"},"links":{"cited_paper":"/paper/2511.13560","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:5c893f3d2fe41d958771a69b765dd6d68ba077c81ad8b0811555f32b70ffc789","observation_id":"e2f72983-85c9-498b-8ccf-2c57f0f5cd41","resolution":{"observed_at":"2026-07-31T01:57:11.648124Z","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":"2026-07-31T01:57:11.652969Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.652969Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:3e0412116c40d75efeda760acba5aad2c7c696e950f50dfc09e48ec80de10728","observation_id":"b6554873-25e4-4633-b8ed-20b18a19be6c","resolution":{"observed_at":"2026-07-31T01:57:11.652969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1111.4022","last_updated":"2013-02-21T12:16:38Z","snapshot_observed_at":"2026-08-03T10:28:25.905022Z","submitted_at":"2011-11-17T06:01:47Z","title":"Surface code quantum computing by lattice surgery","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1111.4022","snapshot_observed_at":"2026-07-31T01:57:11.657243Z","title":"Horsman, A","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.657243Z"},"links":{"cited_paper":"/paper/1111.4022","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:3591529f899756d78a058e87e029817f860ca173f51b50739e09c5b2e146de5f","observation_id":"54326175-e123-40c0-b295-eba55375c45f","resolution":{"observed_at":"2026-07-31T01:57:11.657243Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.13738","last_updated":"2024-05-07T09:50:06Z","snapshot_observed_at":"2026-07-06T14:46:37.657675Z","submitted_at":"2023-01-31T16:17:25Z","title":"CSS code surgery as a universal construction","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.13738","snapshot_observed_at":"2026-07-31T01:57:11.661836Z","title":"Cowtan and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.661836Z"},"links":{"cited_paper":"/paper/2301.13738","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:794aae650367ca39b8c28f816c95b54750831882073e5e0125117ed85f0aaabe","observation_id":"417b0b40-a2d4-4f52-b45d-b613abce0d95","resolution":{"observed_at":"2026-07-31T01:57:11.661836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.09423","last_updated":"2024-07-12T16:50:01Z","snapshot_observed_at":"2026-07-06T18:45:31.308323Z","submitted_at":"2024-07-12T16:50:01Z","title":"SSIP: automated surgery with quantum LDPC codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.09423","snapshot_observed_at":"2026-07-31T01:57:11.666865Z","title":"Cowtan, Ssip: automated surgery with quantum ldpc codes (2024), arXiv:2407.09423 [quant-ph]","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.666865Z"},"links":{"cited_paper":"/paper/2407.09423","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:5de11390987ab292d5ec22ad0a8f8e4704d6e8285c9ca30326cc9dd5f363d082","observation_id":"d15d4506-8fc9-43b5-a2e2-5bb56142dca4","resolution":{"observed_at":"2026-07-31T01:57:11.666865Z","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":"2026-07-31T01:57:11.671577Z","title":"Zheng, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.671577Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:f557a8421de71c9bc3018db96dd23918f48ea2b609e632dd7def4bdcdb7ac916","observation_id":"024a166c-b552-4510-ae7d-8db09c0c28fc","resolution":{"observed_at":"2026-07-31T01:57:11.671577Z","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":"2026-07-31T01:57:11.675934Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.675934Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:6e62f9906a8fefd6a814098b3e1862f2e438b2e46784a76a51f09df2c80d751d","observation_id":"dbb81308-9f71-43fe-b064-a89dc72be9e0","resolution":{"observed_at":"2026-07-31T01:57:11.675934Z","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":"2026-07-31T01:57:11.680866Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.680866Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:f7931ba47b5cf8b913b943583e634202be073f21d0cf34c3dab3d41513599ade","observation_id":"da8ef1f3-afe3-45e5-b7f7-1df9e20e4dd0","resolution":{"observed_at":"2026-07-31T01:57:11.680866Z","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":"2026-07-31T01:57:11.686487Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.686487Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:e5eaffe0ea5976916d4d0d49c7aa51a7b92b5aac8cc430f343fc7ab761e72f34","observation_id":"99f15cf3-aef9-4d34-a763-cb71df41936d","resolution":{"observed_at":"2026-07-31T01:57:11.686487Z","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":"2026-07-31T01:57:11.691395Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.691395Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:69d2cfd7071b211781189cbcf731c6ab9bdaa9ddcaaa04bc21da31a74c25386f","observation_id":"17e7d2c1-f836-47ef-bcbf-6c4281dfa0a8","resolution":{"observed_at":"2026-07-31T01:57:11.691395Z","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":"2026-07-31T01:57:11.696621Z","title":"Zhang and Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.696621Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:2b52bbfb7617cdc73bfd94f57b84132fd35199c418b8ff9797543bd1b10ba17f","observation_id":"07c86731-5d07-451e-9705-d05009017f6e","resolution":{"observed_at":"2026-07-31T01:57:11.696621Z","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":"2026-07-31T01:57:11.701613Z","title":"Baspin, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.701613Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:558f85a33d3e8743a279a66f97ad8e60c2bf14a76f40e69477131740495021b1","observation_id":"ece097b6-5369-4a7e-996f-df6dbff21663","resolution":{"observed_at":"2026-07-31T01:57:11.701613Z","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":"2026-07-31T01:57:11.707123Z","title":"Cowtan, Z","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.707123Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:a68929dd196d435fbefd193686024218992e877aa629b33e61437cfd5923f509","observation_id":"fd783fb2-8b73-4aa2-90c5-97a505d5d6c4","resolution":{"observed_at":"2026-07-31T01:57:11.707123Z","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":"2026-07-31T01:57:11.711712Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.711712Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:461eaaf58bdf413b23e58b9f1f9d7c94a5860f6c41fe00982b00b2f1007f5ded","observation_id":"9e1cf725-72c1-42a0-8df6-876b7c9d95b1","resolution":{"observed_at":"2026-07-31T01:57:11.711712Z","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":"2026-07-31T01:57:11.716655Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.716655Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:891ef2cf5383bd784c544b6fd6592596e2ff26f209bc317a0075ff4e13547049","observation_id":"ce5dafb2-9cb8-4227-9c1b-97d67fd873eb","resolution":{"observed_at":"2026-07-31T01:57:11.716655Z","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":"2026-07-31T01:57:11.721892Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.721892Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:2b3436c49450eb471ebe4c6d49949a61a741decaa1aa8a2f9c36a8dddd426ae1","observation_id":"5070b2df-b337-4302-9227-e6a4827e2381","resolution":{"observed_at":"2026-07-31T01:57:11.721892Z","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":"2026-07-31T01:57:11.727297Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.727297Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:9867f2df8075641b6040b0988400713caf608749c969a9152a120ccf6966bf2e","observation_id":"cbbdd8af-7292-45f8-b529-d899ffbdf64d","resolution":{"observed_at":"2026-07-31T01:57:11.727297Z","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":"2026-07-31T01:57:11.733520Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.733520Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:2aa105b17c311c347bab30ba362fd0d9914d1b6a21f84c329f2521d694b07f12","observation_id":"65ac8817-eff4-4c8b-9467-198e704eb537","resolution":{"observed_at":"2026-07-31T01:57:11.733520Z","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":"2026-07-31T01:57:11.738790Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.738790Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:0978de15daa8db50d9996b71b4f2b84120987e09f43c59ae41b9ea77c8544d3c","observation_id":"f9b7587a-d373-4511-a58b-c05ef99f36bb","resolution":{"observed_at":"2026-07-31T01:57:11.738790Z","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":"2026-07-31T01:57:11.743600Z","title":"Niwa and J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.743600Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:cae8c4385303434e490ca1f4ac9d3d114ad470d7b2caa2c5f0e706f5bd1c9c4c","observation_id":"1d03cb01-1d91-4c07-bbb2-006923bb5380","resolution":{"observed_at":"2026-07-31T01:57:11.743600Z","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":"2026-07-31T01:57:11.749739Z","title":"Colmenarez, Z.-M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.749739Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:9924e87906c42084e31c02e49781877343b4d0a3633c1042dc4783faaee790f0","observation_id":"c26b325f-9ab9-48d8-953b-4229b75411d5","resolution":{"observed_at":"2026-07-31T01:57:11.749739Z","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":"2026-07-31T01:57:11.755571Z","title":"Huang, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.755571Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:791189e38b2417c3d95ef33884fc9780acfeda2dc69fcba145ec1df29e6cb399","observation_id":"3e898252-9e03-4223-a621-2f182e8e9118","resolution":{"observed_at":"2026-07-31T01:57:11.755571Z","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":"2026-07-31T01:57:11.784748Z","title":"Vijay and J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.784748Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:146453f7a092142244a1f5aeca36a2f59fc4d5b072efbabe5870bb7020034035","observation_id":"45d13c4e-0514-4b29-a756-8892fabaf75a","resolution":{"observed_at":"2026-07-31T01:57:11.784748Z","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":"2026-07-31T01:57:11.794739Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.794739Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:641ba073d26e643ca0eb93fe731bf462f7e4936830da615261a06b0fcc3c30dd","observation_id":"e2c2a0cd-1ca7-4dc5-8b24-c732c4777bff","resolution":{"observed_at":"2026-07-31T01:57:11.794739Z","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":"2026-07-31T01:57:11.799941Z","title":"Schumacher and M","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.799941Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:d86e6828a378699d62c59af3ec0a3b68e8bee1f248cb6fe3692f83edf2124f70","observation_id":"04e4ba06-5585-498a-98c4-11c0ee8c949d","resolution":{"observed_at":"2026-07-31T01:57:11.799941Z","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":"2026-07-31T01:57:11.817803Z","title":"Horodecki, J","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.817803Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:5a9ab08b0b5f5a6ec09d661bc28fbb50cdbf7b39d653fcd9570b3bf9ce574834","observation_id":"635d2189-3ed6-4c0a-ac3a-4fd3cf6971d5","resolution":{"observed_at":"2026-07-31T01:57:11.817803Z","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":"2026-07-31T01:57:11.822820Z","title":"Gu´ emard and G","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.822820Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:38c7bc7d5f1857b1ffbcec70245fd518078a752e0e1a6a54a160a3edd565cdd4","observation_id":"2a9269c6-7563-4b3b-80b7-b4cd5ea6cce2","resolution":{"observed_at":"2026-07-31T01:57:11.822820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.17268","last_updated":"2026-06-15T20:20:57Z","snapshot_observed_at":"2026-08-06T01:32:19.966047Z","submitted_at":"2026-06-15T20:20:57Z","title":"Breaking the bicycle frame: Coset-based quantum LDPC codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.17268","snapshot_observed_at":"2026-07-31T01:57:11.827148Z","title":"Aydin, I","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.827148Z"},"links":{"cited_paper":"/paper/2606.17268","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:a4fb4b09a1ae94fcc079a1f4337b0cbcbbefe10968d9c9512977e4debbecf26a","observation_id":"2760e975-184a-40e6-bd5b-d073d1186c55","resolution":{"observed_at":"2026-07-31T01:57:11.827148Z","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":"2026-07-31T01:57:11.832228Z","title":"This distinction matters when multiple edges connect the same pair of vertices","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.832228Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:3024c8d12e3b70b9ac1f2100a04e2d2d7385af542c818908134acc50bc3968e5","observation_id":"637c085f-bbe7-4e9c-a6c3-6aff60a3cbfd","resolution":{"observed_at":"2026-07-31T01:57:11.832228Z","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":"2026-07-31T01:57:11.836593Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.836593Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:4f5c9aee0c1743d0b757d4877182e5545166b847a29dba51581335e6e979b78c","observation_id":"ef6ea849-8961-4819-9d7a-7077a871536c","resolution":{"observed_at":"2026-07-31T01:57:11.836593Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.03094","last_updated":"2025-06-03T17:25:13Z","snapshot_observed_at":"2026-07-06T21:35:56.582332Z","submitted_at":"2025-06-03T17:25:13Z","title":"Tour de gross: A modular quantum computer based on bivariate bicycle codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.03094","snapshot_observed_at":"2026-07-31T01:57:11.842144Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.842144Z"},"links":{"cited_paper":"/paper/2506.03094","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:a2077fcd7823ea14de654d45435ebab8b4877479c29b1cc00e09e53b9eb0db84","observation_id":"3d610d78-85f8-4239-bea6-06792191cdaf","resolution":{"observed_at":"2026-07-31T01:57:11.842144Z","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":"2026-07-31T01:57:11.847056Z","title":"Hatcher,Algebraic topology(Cambridge University Press, 2002)","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.847056Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:2957fa4632702480b3a5049f710c64fa70222c7077fef824657cb499ba0501d7","observation_id":"758bf31e-c2ce-46a0-99bf-e7c4637948b9","resolution":{"observed_at":"2026-07-31T01:57:11.847056Z","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":"2026-07-31T01:57:11.851551Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.851551Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:d74a65c126042bed22fe722962a77d264348226cbce9bac1be90094da1693334","observation_id":"abfd7b4d-3370-4932-9a09-4c4ad8c5b510","resolution":{"observed_at":"2026-07-31T01:57:11.851551Z","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":"2026-07-31T01:57:11.855903Z","title":"Zhang, Y.-C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.855903Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:5a8051619bd5e36f8941dbd6d5ce45c51977832da0e2c9992f2174d4a83c0f03","observation_id":"d45763e1-750f-4800-840b-0940da2a9c08","resolution":{"observed_at":"2026-07-31T01:57:11.855903Z","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":"2026-07-31T01:57:11.860028Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.860028Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:5d09466e0d85f4256b2c1edf4f35ef8d9e44a69181e4757d56ff2112604761f0","observation_id":"c792f756-b887-4b70-82f2-008e2379c09a","resolution":{"observed_at":"2026-07-31T01:57:11.860028Z","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":"2026-07-31T01:57:11.864582Z","title":"Onsager, Crystal statistics","venue":null,"work_id":null,"year":1944},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.864582Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:aa0dad64236f70438a04ec01ac0935bc0a961a7b7d748de225524312018843bb","observation_id":"a3992d44-8eee-4918-87dd-b16fc27b9efd","resolution":{"observed_at":"2026-07-31T01:57:11.864582Z","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":"2026-07-31T01:57:11.869095Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.869095Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:68ada67bdb3d6e5763510790b2c439299e290b7b2d0f164646255c07b66c5039","observation_id":"f19adcee-7f10-4448-a89c-9a53c8aa3728","resolution":{"observed_at":"2026-07-31T01:57:11.869095Z","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":"2026-07-31T01:57:11.873521Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.873521Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:8b9e46ec9552aa359899fc300498ccd8d9d952291099b70456ccffd26b57283d","observation_id":"67d738b3-206f-4a84-905c-3ad7f2bedb1c","resolution":{"observed_at":"2026-07-31T01:57:11.873521Z","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":"2026-07-31T01:57:11.877874Z","title":"Metropolis, A","venue":null,"work_id":null,"year":1953},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.877874Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:3018a2f7ed7de3e0175a5ec61366b8b2bf7f2525684b2eecd9c1e34b009cab44","observation_id":"ed20ddc2-cee4-4586-881b-95ad7e95aeb5","resolution":{"observed_at":"2026-07-31T01:57:11.877874Z","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":"2026-07-31T01:57:11.882603Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.882603Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:9dbde3a67c9d93c2251c69ef8af6e6cf5c667f1027cdebbeb313bbfd7e1d3778","observation_id":"1e5657cf-bec6-44ef-b549-94d3199fc64b","resolution":{"observed_at":"2026-07-31T01:57:11.882603Z","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":"2026-07-31T01:57:11.887073Z","title":"Hukushima and K","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.887073Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:c0af404f1c2ff1548198992d8e69427723c1ab58d95ac611c5a7e08d29ae7e99","observation_id":"f4b68373-844b-4899-a595-d427ec4fd7c7","resolution":{"observed_at":"2026-07-31T01:57:11.887073Z","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":"2026-07-31T01:57:11.892550Z","title":null,"venue":null,"work_id":null,"year":1919},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.892550Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:764da80b95ff63b5e0a4e261ddf136a8e469f5513a3148f2615083e5068b127c","observation_id":"bac279ff-e21d-4700-a84c-b6fc374d3e85","resolution":{"observed_at":"2026-07-31T01:57:11.892550Z","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":"2026-07-31T01:57:11.896952Z","title":"Haah, Commuting pauli hamiltonians as maps between free modules, Communications in Mathematical Physics 324, 351 (2013)","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.896952Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:a194ae9ed232ad1395947d3c2088b94d756f3a688ed9c899a5671217ce632142","observation_id":"ee8a520f-cf4e-4b28-8e3f-ac61bb319884","resolution":{"observed_at":"2026-07-31T01:57:11.896952Z","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":"2026-07-31T01:57:11.901431Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.901431Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:af6e13be330ab8d02d7acaa0bd086a610a82cf1119aeb0784c62ddfc76657856","observation_id":"dd290656-831f-4a34-af01-8e9988bf1b50","resolution":{"observed_at":"2026-07-31T01:57:11.901431Z","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":"2026-07-31T01:57:11.905791Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.905791Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:5eabf1419e406ba871cb297bc6f3d556b174eb3da40705eb700338d2e83e7da7","observation_id":"a6c3a85c-02ed-41ab-9ed4-931b0cd06759","resolution":{"observed_at":"2026-07-31T01:57:11.905791Z","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":"2026-07-31T01:57:11.910341Z","title":"Bombin, G","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.910341Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:d956df520ce2d22db1861d60e10bc0e07a8ab69cf656da580d206509d49dd333","observation_id":"5bb6341f-cdc6-4cd8-b33e-5274ee26b8fa","resolution":{"observed_at":"2026-07-31T01:57:11.910341Z","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":"2026-07-31T01:57:11.914653Z","title":"Haah, Algebraic methods for quantum codes on lattices, Revista Colombiana de Matem´ aticas50, 299 (2017)","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.914653Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:3beb33111d39d7548f8f0cdf5300ab411b420a813422d2ab4b695ed034f8a390","observation_id":"c5cf0f80-9ed5-4e24-8b4a-8c1651e5434f","resolution":{"observed_at":"2026-07-31T01:57:11.914653Z","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":"2026-07-31T01:57:11.918956Z","title":"Bomb ´ ın, Structure of 2d topological stabilizer codes, Communications in Mathematical Physics327, 387 (2014)","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.918956Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:75156392743fcd19f84b0b7def6755d692aff5b98419680b2812b5aeed50b2c8","observation_id":"c334d03d-1432-43e4-91ce-de3d0567a2fd","resolution":{"observed_at":"2026-07-31T01:57:11.918956Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.02249","last_updated":"2021-05-24T23:47:23Z","snapshot_observed_at":"2026-08-06T07:22:29.835405Z","submitted_at":"2020-12-03T20:36:50Z","title":"Building manifolds from quantum codes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.02249","snapshot_observed_at":"2026-07-31T01:57:11.923393Z","title":"Freedman and M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.923393Z"},"links":{"cited_paper":"/paper/2012.02249","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:8df68349afb8e9a8a274252475a7d7e5a8fc18bb6a79686c4af886e103c3fc20","observation_id":"b34f53e0-ff58-40f8-94cf-626cedcfcac0","resolution":{"observed_at":"2026-07-31T01:57:11.923393Z","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":"2026-07-31T01:57:11.927746Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.927746Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:0d664d1b5de3df0e9ea71c7485b7c9ac5cfc6caccac8bdbc15287abe5f1501a8","observation_id":"16bcae03-121e-49b0-94c0-77b8d03e2dbc","resolution":{"observed_at":"2026-07-31T01:57:11.927746Z","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":"2026-07-31T01:57:11.931700Z","title":"Sayginel, S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.931700Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:bd5964898510cac74d9e6a01dd97f58b4e57e19697d0e5977d092e0ade40a8b7","observation_id":"ee3c9b58-9198-4278-aca7-802bdc331f5c","resolution":{"observed_at":"2026-07-31T01:57:11.931700Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.04794","last_updated":"2025-08-06T18:10:37Z","snapshot_observed_at":"2026-08-10T19:32:01.964514Z","submitted_at":"2025-08-06T18:10:37Z","title":"Automorphism gadgets in homological product codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.04794","snapshot_observed_at":"2026-07-31T01:57:11.936356Z","title":"Berthusen, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.936356Z"},"links":{"cited_paper":"/paper/2508.04794","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:de34ea83be5429955a7e099fc50ff8779fcd798b550f2396f95c20481548c511","observation_id":"4d9ec3ec-2b02-4887-993c-600aea057b0a","resolution":{"observed_at":"2026-07-31T01:57:11.936356Z","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":"10.1007/s00220-026-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T02:00:58.550151Z","title":null,"venue":null,"work_id":"0192f3d2-ba40-4ad9-8136-bf6d3158b924","year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.940942Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:27fbd7016815d5e9d4dcedf70b08b3a445b26aef335c02be44b12718e39479a3","observation_id":"ba419198-f30b-4bb5-8cf2-a3c482120bc6","resolution":{"observed_at":"2026-07-31T02:00:58.618099Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-31T01:57:11.945269Z","title":"Menon, J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.945269Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:0abe251d3a406ba631ef037eca7779a75790517a168fbc9fda60e4d0fefe3517","observation_id":"324c3b61-42a3-4e92-a993-2916f97dc142","resolution":{"observed_at":"2026-07-31T01:57:11.945269Z","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":"2026-07-31T01:57:11.949471Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.949471Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:f31c4677e4c332795cafff71817cd98ddf3424921fbbe864d74269b5749389ba","observation_id":"5721aad7-97e4-42ed-8109-9446997dcd5e","resolution":{"observed_at":"2026-07-31T01:57:11.949471Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.05044","last_updated":"2026-06-03T16:05:40Z","snapshot_observed_at":"2026-07-06T23:45:02.342193Z","submitted_at":"2026-06-03T16:05:40Z","title":"Generalized Bicycle Codes as Cyclic Submodules and their Automorphism Structure","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.05044","snapshot_observed_at":"2026-07-31T01:57:11.953743Z","title":"Davenport, J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.953743Z"},"links":{"cited_paper":"/paper/2606.05044","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:300a904d4517428cd8f2485328213dcee1b8e6f200a73c6416ed78bc61a5a57a","observation_id":"260cc2e4-1229-4e96-8061-144780a7ffcf","resolution":{"observed_at":"2026-07-31T01:57:11.953743Z","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":"2026-07-31T01:57:11.958443Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.958443Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:82d398d9f0ab8fdbd40274b18aeb759294dff4b5b7c22fbc574fde87bf87fdfc","observation_id":"8218207b-77e3-4516-82e4-b1bf0ae2cbea","resolution":{"observed_at":"2026-07-31T01:57:11.958443Z","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":"2026-07-31T01:57:11.962571Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.962571Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:ab563d284fd44f4e251de5bf17cb3fb35a244c1174cce6d8ff4293d15c74cc6b","observation_id":"80012e10-795f-4759-a008-a47af03da92e","resolution":{"observed_at":"2026-07-31T01:57:11.962571Z","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":"2026-07-31T01:57:11.966778Z","title":"Huang, T","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.966778Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:1f660ccf4f179eabddddddee54c5417961151f07afdd3602bde2524afa54943f","observation_id":"6a8d3206-fe2b-4851-8116-4d6295848e03","resolution":{"observed_at":"2026-07-31T01:57:11.966778Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.05386","last_updated":"2026-07-09T17:58:26Z","snapshot_observed_at":"2026-08-08T13:08:36.166528Z","submitted_at":"2026-07-06T17:56:55Z","title":"Logical Spectroscopy: Lifted-Product Codes with Addressable Bases","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.05386","snapshot_observed_at":"2026-07-31T01:57:11.970911Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.970911Z"},"links":{"cited_paper":"/paper/2607.05386","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:cb13200ee76696f0c4ccab6262b28367868bd12666ac1939389712a6d9d191ae","observation_id":"c39c2cd7-7f6c-48cc-8090-324b01ff34f1","resolution":{"observed_at":"2026-07-31T01:57:11.970911Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.31441","last_updated":"2026-05-29T15:38:50Z","snapshot_observed_at":"2026-08-03T00:48:52.755780Z","submitted_at":"2026-05-29T15:38:50Z","title":"Intrinsic locality dimension of quantum codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.31441","snapshot_observed_at":"2026-07-31T01:57:11.975182Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.975182Z"},"links":{"cited_paper":"/paper/2605.31441","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:0f0965a0a545659818ebb31ceceb0d27456c1e886a3eec290347e21a09a0ef8a","observation_id":"ebacf82d-b13f-4639-980c-2ea8c08a5e3b","resolution":{"observed_at":"2026-07-31T01:57:11.975182Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.13342","last_updated":"2025-07-17T17:58:42Z","snapshot_observed_at":"2026-08-08T22:26:17.850300Z","submitted_at":"2025-07-17T17:58:42Z","title":"Expansion creates spin-glass order in finite-connectivity models: a rigorous and intuitive approach from the theory of LDPC codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.13342","snapshot_observed_at":"2026-07-31T01:57:11.979636Z","title":"Placke, G","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.979636Z"},"links":{"cited_paper":"/paper/2507.13342","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:b198c6bbe3fe0fdce1fc78abfc68b1ac41be363bc38c0e1dc7a26701c3f82fbd","observation_id":"c64883ce-3709-48e8-9e4e-2c418e84e99c","resolution":{"observed_at":"2026-07-31T01:57:11.979636Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.13248","last_updated":"2024-12-17T19:00:00Z","snapshot_observed_at":"2026-08-08T02:34:38.594189Z","submitted_at":"2024-12-17T19:00:00Z","title":"Topological Quantum Spin Glass Order and its realization in qLDPC codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.13248","snapshot_observed_at":"2026-07-31T01:57:11.984245Z","title":"Placke, T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.984245Z"},"links":{"cited_paper":"/paper/2412.13248","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:2d7c10f9962c9cb8003208faf292b6ddb3e9f2df18ee11d621ecf9a1d1687516","observation_id":"4b7b2cd5-72eb-431b-a368-026344dda5a9","resolution":{"observed_at":"2026-07-31T01:57:11.984245Z","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":"2026-07-31T01:57:11.988898Z","title":"AMIT and N","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.988898Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:f82941ee6c03805454027db63ce67a3d047c0ad3ed2da9a8903a6e87ceff6376","observation_id":"f3bf5daa-a27f-4e7f-bb9c-e1a10f0baee2","resolution":{"observed_at":"2026-07-31T01:57:11.988898Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1502.04482","last_updated":"2019-03-05T21:20:57Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2015-02-16T10:12:45Z","title":"A new proof of Friedman's second eigenvalue Theorem and its extension to random lifts","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.04482","snapshot_observed_at":"2026-07-31T01:57:11.993795Z","title":"Bordenave, A new proof of friedman’s second eigen- value theorem and its extension to random lifts (2019), arXiv:1502.04482 [math.CO]","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.993795Z"},"links":{"cited_paper":"/paper/1502.04482","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:93521e06de2f2fcc6f6213e8c9e65a28302f18245028023bf6bfc99bd1d36a12","observation_id":"b7e33d97-353b-43f2-9089-e764c4b052fc","resolution":{"observed_at":"2026-07-31T01:57:11.993795Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.08358","last_updated":"2026-04-09T15:21:41Z","snapshot_observed_at":"2026-07-06T22:57:26.678728Z","submitted_at":"2026-04-09T15:21:41Z","title":"Scalable Neural Decoders for Practical Fault-Tolerant Quantum Computation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.08358","snapshot_observed_at":"2026-07-31T01:57:11.999102Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:11.999102Z"},"links":{"cited_paper":"/paper/2604.08358","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:935dfe3307ed89104ee57200802a638185bcd3c1cb816ddfbebf552761952927","observation_id":"e8314f29-2d7f-4978-97b2-0e7695292c27","resolution":{"observed_at":"2026-07-31T01:57:11.999102Z","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":"2026-07-31T01:57:12.004329Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:12.004329Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:576925e8ae89cab837c2b8a58907c59c20f5a1807384b8f69416499b923b58c4","observation_id":"48306411-2f7c-471f-8cf8-4f17a262090f","resolution":{"observed_at":"2026-07-31T01:57:12.004329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.27817","last_updated":"2026-04-30T12:58:27Z","snapshot_observed_at":"2026-08-02T05:49:46.776796Z","submitted_at":"2026-04-30T12:58:27Z","title":"High-Girth Regular Quantum LDPC Codes from Square-Base Hypergraph Products via CPM Lifts","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.27817","snapshot_observed_at":"2026-07-31T01:57:12.008946Z","title":"Okada and K","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:12.008946Z"},"links":{"cited_paper":"/paper/2604.27817","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:eeae40bbf26f845de7d6429d241403484b92c746d877fe24848afcdfebbd84df","observation_id":"ddddbb1b-adf5-4210-af2d-7edcceae4395","resolution":{"observed_at":"2026-07-31T01:57:12.008946Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.16209","last_updated":"2026-06-26T21:06:12Z","snapshot_observed_at":"2026-08-10T23:23:13.640440Z","submitted_at":"2026-04-17T16:19:55Z","title":"Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.16209","snapshot_observed_at":"2026-07-31T01:57:12.014139Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:12.014139Z"},"links":{"cited_paper":"/paper/2604.16209","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:ddc1f7ced23728ea1553561c2dd657d60f4391a892280d40895909fdc2ca2277","observation_id":"87a4c65f-468f-4ae9-a061-34d165684db5","resolution":{"observed_at":"2026-07-31T01:57:12.014139Z","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":"2026-07-31T01:57:12.018613Z","title":"Kasai, Breaking the orthogonality barrier in quantum ldpc codes (2026), arXiv:2601.08824 [quant-ph]","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:12.018613Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:975bd99c47a55f77f172d5e025a2434672f6c55e03170237ea14b99b3ca0bec4","observation_id":"2acbf103-acc8-435d-a75d-160771d1ad63","resolution":{"observed_at":"2026-07-31T01:57:12.018613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.13641","last_updated":"2022-09-16T10:36:37Z","snapshot_observed_at":"2026-08-08T19:43:37.777292Z","submitted_at":"2022-02-28T09:35:31Z","title":"Quantum Tanner codes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.13641","snapshot_observed_at":"2026-07-31T01:57:12.022872Z","title":"Leverrier and G","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:12.022872Z"},"links":{"cited_paper":"/paper/2202.13641","citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:0bc9fea693fed39438d3e33fe0f875ed804d754cd0da1a161fa21361b0d29fd1","observation_id":"7153bbd5-abef-4798-a2a9-c5dd2d2da6f3","resolution":{"observed_at":"2026-07-31T01:57:12.022872Z","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":"2026-07-31T01:57:12.027379Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:12.027379Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:6dc10ba7a5e9a17c21e35f05c8d269d19cd330a1e5f7bbfcbf3d7bad14e35fc4","observation_id":"23bc32f8-166c-4f2a-9294-1e2390918eaa","resolution":{"observed_at":"2026-07-31T01:57:12.027379Z","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":"2026-07-31T01:57:12.031856Z","title":"Weibel,An Introduction to Homological Algebra, Cam- bridge Studies in Advanced Mathematics (Cambridge University Press, 1994)","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:12.031856Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:da307f5ee5a17c15a06ed6aefc1ed7e128d3d26f4634acec2b843ca897a45068","observation_id":"6fac7dcf-a4cf-4580-9507-fb58214485e5","resolution":{"observed_at":"2026-07-31T01:57:12.031856Z","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":"2026-07-31T01:57:12.036123Z","title":"Swaroop, T","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:12.036123Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:77e7c338742f620b339c53f2005b0fb2ddc53fd4182248f5099482b4e4486cdf","observation_id":"e9b82d09-44d8-4801-b2a5-68d2072306fb","resolution":{"observed_at":"2026-07-31T01:57:12.036123Z","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":"2026-07-31T01:57:12.040480Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-07-31T01:57:12.040480Z"},"links":{"citing_paper":"/paper/2607.28621"},"observation_digest":"sha256:fb1f932bc22820f9222b1f7d577ff785ed57661d296a2da9f5ff7bec0a887cbe","observation_id":"87485929-edd8-4264-95a9-4bdb528ba9f0","resolution":{"observed_at":"2026-07-31T01:57:12.040480Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.28621","last_updated":"2026-07-30T17:59:18Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-09T05:04:26.942443Z","submitted_at":"2026-07-30T17:59:18Z","title":"Lifting Lifted Product Codes"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":99,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":101},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 100 of 101 outbound references and 0 inbound Pith citation observations for arXiv:2607.28621."}