{"as_of":"2026-08-09T12:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:22e5eb64631cdb4203e9783c7087584114f5e0b68cd8e536382b526d9a0d11fa","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:54:35.544276Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-10T06:15:00.866473Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"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":"2026-08-06T15:54:35.544276Z","title":"Freedman and M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.15056","last_updated":"2025-07-20T17:35:31Z","snapshot_observed_at":"2026-08-09T06:26:44.387326Z","submitted_at":"2025-07-20T17:35:31Z","title":"Transversal non-Clifford gates on qLDPC codes breaking the $\\sqrt{N}$ distance barrier and quantum-inspired geometry with $\\mathbb{Z}_2$ systolic freedom","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T15:54:35.544276Z"},"links":{"cited_paper":"/paper/2012.02249","citing_paper":"/paper/2507.15056"},"observation_digest":"sha256:d765255a3ae5a7057b49dfd55af437c59ff4eed0266780e64d28124ad2dec5c6","observation_id":"a2043088-5cef-4f9c-a5ee-5e55c507c56a","resolution":{"observed_at":"2026-08-06T15:54:35.544276Z","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":"2012.02249","doi":"10.48550/arxiv.2012.02249","metadata_source":"arxiv_reference","pith_arxiv_id":"2012.02249","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Freedman and M","venue":null,"work_id":"757ff439-3f08-47bc-abdc-b698d94774ff","year":2021},"citing_paper":{"arxiv_id":"2605.19298","last_updated":"2026-05-19T03:18:11Z","snapshot_observed_at":"2026-07-29T14:49:16.049487Z","submitted_at":"2026-05-19T03:18:11Z","title":"Translation-invariant quantum low-density parity-check codes from compactified fracton models","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-20T06:28:11.017427Z"},"links":{"cited_paper":"/paper/2012.02249","citing_paper":"/paper/2605.19298"},"observation_digest":"sha256:97388f129bd7ce39a8c1481816b5b67acf313fcad7e1a18d45caf3491615ae1c","observation_id":"32d6c946-0c2d-4ee4-85cf-515c0af47a3d","resolution":{"observed_at":"2026-05-20T06:33:05.888519Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-05-22T18:53:50.853304+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-22T18:53:50.853304+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"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":"2012.02249","doi":"10.48550/arxiv.2012.02249","metadata_source":"arxiv_reference","pith_arxiv_id":"2012.02249","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Freedman and M","venue":null,"work_id":"757ff439-3f08-47bc-abdc-b698d94774ff","year":2021},"citing_paper":{"arxiv_id":"2605.21746","last_updated":"2026-05-20T21:17:42Z","snapshot_observed_at":"2026-07-06T23:32:10.472558Z","submitted_at":"2026-05-20T21:17:42Z","title":"GeneCS: Synthesizing Resource-Efficient Code Surgery for Arbitrary Quantum Stabilizer Codes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-22T08:39:29.459668Z"},"links":{"cited_paper":"/paper/2012.02249","citing_paper":"/paper/2605.21746"},"observation_digest":"sha256:be1048b249444faa671f0b1ed2c515d9854f9df750ec10a9a8c248cbdd34f498","observation_id":"f2eb47b4-22ff-4cee-9b11-3add4f0164d8","resolution":{"observed_at":"2026-05-22T08:41:16.861591Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-05-22T18:53:50.853304+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-22T18:53:50.853304+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"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"}}],"links":{"evidence":"/evidence","html":"/paper/2012.02249/citation-record","integrity":"/paper/2012.02249/integrity","json":"/paper/2012.02249/citation-record.json","paper":"/paper/2012.02249"},"outbound":[],"paper":{"arxiv_id":"2012.02249","last_updated":"2021-05-24T23:47:23Z","latest_version":3,"primary_category":"math.DG","snapshot_observed_at":"2026-08-06T07:22:29.835405Z","submitted_at":"2020-12-03T20:36:50Z","title":"Building manifolds from quantum codes"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2012.02249."}