{"as_of":"2026-08-17T00:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fb6ec22aa334922cf0e6ba254129c8f8f22c4c47d571ec1e106531628375cd91","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T09:40:19.624273Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-13T05:52:48.575522Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.28784","snapshot_observed_at":"2026-07-13T05:52:48.575522Z","title":"Mayrand and B","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.08911","last_updated":"2026-07-09T20:10:13Z","snapshot_observed_at":"2026-08-15T01:01:19.258207Z","submitted_at":"2026-07-09T20:10:13Z","title":"A diagrammatic field theory of quantum error correction","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-07-13T05:52:48.575522Z"},"links":{"cited_paper":"/paper/2605.28784","citing_paper":"/paper/2607.08911"},"observation_digest":"sha256:6b19798c962aa5f78aca51042fe26e3ece953d4c30700f40bb132e8d2c83532b","observation_id":"161801bf-95ee-4fdc-be1b-06f3799785a7","resolution":{"observed_at":"2026-07-13T05:52:48.575522Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2605.28784/citation-record","integrity":"/paper/2605.28784/integrity","json":"/paper/2605.28784/citation-record.json","paper":"/paper/2605.28784"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T09:40:19.624273Z","title":"Scaling and networking a modular photonic quantum computer","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:8215df7a74afccf8e2b3716fd11e5f82916a77bd1f26d108df92ca4aa2819d9f","observation_id":"0d71f14c-9787-4e48-a4e7-446c48e22393","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Bargmann","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:3a333befea551c79f0e8b33dfff6f9538472fcc692a25fef58debafc1d5b8aec","observation_id":"b38db7c8-9e27-4031-9aba-647dd9f5cddf","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Bargmann","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:66df92cd3549ac3a96a39f4cadc8ba075aebd12b728d5f042eb500d5c3481e9b","observation_id":"6867995c-8467-41e2-8992-f431fed78872","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Seshadri constants and periods of polarized abelian varieties.Math","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:7390842560dbb068b603be4a368596e6ab73d0a57c034bd03713e38e1dba7038","observation_id":"ed0518c2-09b6-4eaa-8230-90abdd730088","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Springer-Verlag, Berlin, second edition, 2004","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:7e4b645aab470f7c022fcb607febd3d23d42d2675824aa7748beb6fd52936fed","observation_id":"b71c2f48-3b4d-4375-831e-df8fb8ab9fc5","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Eli Bourassa, Rafael N","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:2b9d3a766da41ec6ae9df660b1f82b391a4cd1c158c8b7aa3a213798f6a090a8","observation_id":"265991dc-77cc-49f4-9ba4-3be163fdf8e0","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Lifting level d-structures of abelian varieties.Archiv der Mathematik, 60(6):553–562, 1993","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:c6f5f9d0c9026b416cbb1f8e4b181db5518654f2826ff032a6f5dd72029b3e8e","observation_id":"76f70564-832b-4eed-a1f0-9b65c5e7f58c","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Fiber bundle fault tolerance of GKP codes.Quantum, 9:1899, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:1542e55b5fcd4a60e5b63c69a0afcb3324d7f4c771092106f838c60dbf7e029c","observation_id":"5124a3e9-2a67-48be-8f1b-b6dddf23e014","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Buser and P","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:beddfacb2d15b0790b4005c7b7e5c50642eb47ada90b90d6c937f2e8c7b1eb82","observation_id":"096c89eb-7a27-4135-ad7d-a7eaadca6e6d","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Quantum error correction of a qubit encoded in grid states of an oscillator.Nature, 584(7821):368–372, 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:d4dacf41ac3199c1cecfeba01f9f24237feace781b2946301ec504962202203e","observation_id":"b02f5894-a722-48fb-a0ff-a2bee1c2c510","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.02442","last_updated":"2024-12-03T13:27:37Z","snapshot_observed_at":"2026-08-11T23:24:26.772625Z","submitted_at":"2024-12-03T13:27:37Z","title":"The fabulous world of GKP codes","version":1},"cited_work":{"arxiv_id":"2412.02442","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.02442","snapshot_observed_at":"2026-06-29T10:03:17.489459Z","title":"The fabulous world of GKP codes.PhD Thesis, Freie Universit¨ at Berlin (2024)","venue":null,"work_id":"f9c88830-08f7-4e41-8ffd-c514d517fcdb","year":2024},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"cited_paper":"/paper/2412.02442","citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:fbd75066b322525bae6a71273d694f4d15acc9930322af64abc6b808af29e893","observation_id":"efe31ece-d60e-4bcf-954b-0cffafe90e6b","resolution":{"observed_at":"2026-06-29T10:03:17.490968Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.03270","last_updated":"2024-07-10T08:06:26Z","snapshot_observed_at":"2026-08-16T13:37:18.890354Z","submitted_at":"2024-07-03T16:57:53Z","title":"Lattices, Gates, and Curves: GKP codes as a Rosetta stone","version":2},"cited_work":{"arxiv_id":"2407.03270","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.03270","snapshot_observed_at":"2026-06-29T10:03:17.492038Z","title":"arXiv preprint arXiv:2407.03270 (2024)","venue":null,"work_id":"01269e33-c568-4838-bee4-3f51c821caad","year":2024},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"cited_paper":"/paper/2407.03270","citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:4109b6e8298df3b66379daff26a7cc2a5bd592d15ef839eb58bfdf6317492718","observation_id":"8ff7c65e-f5ee-475e-bdda-922197572e16","resolution":{"observed_at":"2026-06-29T10:03:17.493545Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-29T09:40:19.624273Z","title":"Gottesman-kitaev-preskill codes: A lattice perspective.Quantum, 6:648, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:a99c4ca851dfe0e92a5e7720f58431dab94666b2550cb81d6de3dfef4618fe68","observation_id":"5ad290f6-bf06-4931-9161-4c9592fdc8a3","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"SL(2, Z).https://kconrad.math.uconn.edu/blurbs/grouptheory/SL(2,Z).pdf, n.d","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:bbe23779558d029d3cf6a7647776c55bc5be80afab4b2d4e8dba46cfbbe5e05d","observation_id":"1de1738f-b2ef-4464-a092-0971bd2803be","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:2cdb9a6217c104ae930e2fa4aa0801de1ddc43e48155c6df57be7abf2bc09ccd","observation_id":"555121fd-629a-4549-8540-4d63aa8b0698","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"The klein quartic in number theory.The eightfold way, 35:51–101, 1999","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:1296f35ff7f9188a025c8e3eb6fdb9fb4b5a57ea51054208c13beab0d68214b1","observation_id":"39374720-d5ad-42c1-9690-9b0b3766d903","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Folland.Harmonic analysis in phase space, volume 122 ofAnnals of Mathematics Studies","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:2267515a1992d43edf2083fa38fdd2992ce3ed1426c2c94028a7773ffba29913","observation_id":"5493200f-79de-4843-94ad-31c3124621e5","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"On automorphisms of principally polarized abelian varieties.Geometriae Dedicata, 139(1):249– 258, 2009","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:32a056c9f74b311147be828876784356a2b2c2c9f00c866a23e821ad07cd7c82","observation_id":"d04c535c-3c22-427e-982c-903c85c4edd7","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"California Institute of Technology, 1997","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:2c29a26206707e99af54e212a2dbe43241679a3f4a64d39f9ff9435ec1826c2e","observation_id":"4f6b632e-0489-452b-975b-0d242f094948","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Encoding a qubit in an oscillator.Phys","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:ac4f00991c6d12063c812f80953c2f172259896d1708f8959b0958f8de8cce38","observation_id":"533d96aa-18cf-438d-8787-3e4f3f6cb5da","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Achievable rates for the gaussian quantum channel.Phys","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:72f769221ad1529e526cfca3c5c8e31279f3f482221f30942c581a943beb2e89","observation_id":"79239eec-cb43-47f1-b34a-0f2146347735","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01425","last_updated":"2021-12-02T17:15:21Z","snapshot_observed_at":"2026-08-16T17:37:29.016985Z","submitted_at":"2021-12-02T17:15:21Z","title":"Analysis of loss correction with the Gottesman-Kitaev-Preskill code","version":1},"cited_work":{"arxiv_id":"2112.01425","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.01425","snapshot_observed_at":"2026-06-29T10:03:17.486570Z","title":"Analysis of loss correction with the gottesman-kitaev-preskill code.arXiv preprint arXiv:2112.01425, 2021","venue":null,"work_id":"1ca9e21c-121d-4df6-aedb-d4627cc30781","year":2021},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"cited_paper":"/paper/2112.01425","citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:f43645f21d06490d12853edd7d19b2b835bf6d75055b807ffe7e8d1037c68e97","observation_id":"93379378-cc07-4dca-b342-c36b6dc0a0cf","resolution":{"observed_at":"2026-06-29T10:03:17.488236Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-06-29T09:40:19.624273Z","title":"Stabilizer states and clifford operations for systems of arbitrary dimen- sions and modular arithmetic.Phys","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:6af68810ffcb64e1137d61e2af9dc0e4fcd93ef8fe4344805f1f2fd8c4a14944","observation_id":"7b591ecf-9527-4cc0-9c20-6b9846b36ef4","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Autonomous Quantum Error Correction of Gottesman-Kitaev-Preskill States.Physical Review Letters, 132(15), 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:bca50d21d596adaff10521b042f5a8b875ac4ff7ef244074c636cbc937aca514","observation_id":"88aa25a3-c276-40f7-bc6d-b0cc5a988ccc","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:63894d1f36f54b6ad4248b6b93d37cee3e19981bc6ebcfc184f6b192a9374f00","observation_id":"a3ae5a69-d817-4ac9-8d0e-bce2334a6f95","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields.J","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:d9039e06bde75eaa7a435c0eb0c1658c92821491d7861ebdcb78f27a0e0f03c0","observation_id":"d1a00926-7da2-46c6-9a7c-3ae6d64f6ea1","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Lengths of periods and Seshadri constants of abelian varieties.Math","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:5b761b769904f8bc3304740920e6b716be6f3d566090f740b2f2dfb7b89188e9","observation_id":"7c0d861a-5f82-4546-aebb-4d085b6c83bc","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Frattini, Florian Hopfmueller, Chloe Gauvin-Ndiaye, Julien Camirand-Lemyre, and Philippe St-Jean","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:4b10a676c6c89bf603c7bab4dace96c527b603d253774be40dbdabdb7c598b94","observation_id":"ec05d89d-15b2-4d1b-8f91-e923643f5efc","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Cambridge University Press, 2001","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:3c42e0321c07ceaeae99de78be8341e8510203af699309e15b751c7131c428e1","observation_id":"7d822779-c3ed-4064-b2da-1ff2d583841d","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Springer Science & Business Media, 1991","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:445196a5ba5753f0718c5dada8bfedea8572f666430235edd2d1ebff23f993c4","observation_id":"6962b151-a893-4d43-8c03-e7d5cdb228c5","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Action of the automorphism group on the Jacobian of Klein’s quartic curve","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:6a546aea595039e7d34fb59b18125199689fa272760be0d268323bcd13bf03fc","observation_id":"690349e5-4fc4-40b0-820d-e0df69638d03","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Universal quantum gate set for gottesman–kitaev–preskill logical qubits.Nature Physics, 21(10):1664–1669, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:e79ac34bc6444757e812d75d38accd605ff4b9ea73a15534f80c37b44a0cf9ec","observation_id":"640b7bcf-65f4-4d08-be0c-2218f02d5a6d","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:463b9cafa513f7022ef9f6f36b54bd8c25d818535058c8b753a17351d0f35fc1","observation_id":"50c80a15-3391-4d3c-acac-a549b875bbe2","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:a819c154437440d6aa7cc7d1e42ecf62edd58ec06541526203412b7bb633fa0e","observation_id":"e8a16fce-42e3-4fec-b4e9-49c32dac1422","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:e63f92681918f3c381bc4d9cb0844fa1520c91d47bae41c07c547d412ae45216","observation_id":"19b927d4-6b68-45d2-8043-977ab2d6dd7d","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Cambridge university press, 2010","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:81234ac4fdd722cb59289473a256e269910408df8cacf71e8e797358fb344e71","observation_id":"2f99cd7b-4557-4646-9f16-029f40ed0275","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Quantum capacity bounds of gaussian thermal loss channels and achievable rates with gottesman-kitaev-preskill codes.IEEE Transactions on Information Theory, 65(4):2563–2582, 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:d9b5f10ad59ea2caee8127e5ed778e7b92127b2ca330338957cc36744f670b5e","observation_id":"e2c52128-150e-4b65-88fb-671c822e25ed","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Cambridge University Press, Cambridge, 2003","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:0de267d5a63c95525bfb4c9130e8b773118e5accbc459d6ee1dd9e7af8d142c9","observation_id":"b61cc74e-f5c7-47b7-ba12-d742f36e2f51","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Encoding qubits in multimode grid states.PRX Quantum, 3(1):010335, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:00de318df0fef85c61bc9dcf74f6761d81839f9e1ddfa95ffb957eb743f652cb","observation_id":"4a53f0a1-edd4-458c-bea9-801089af8ee8","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Real-time quantum error correction beyond break-even","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:cd6d62d04ad3bd661e0d326aad881540a39ae51e7e89b435a6436fcbee196fe4","observation_id":"4021ff66-cd7c-4cfa-bc71-886e15fc8f13","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Efficient classical simulations of quantum Fourier transforms and normalizer circuits over Abelian groups.Quantum Inf","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:6638609dcbf0ab497747d27290dba89dfb249ce85e0c4dbe353bbfb5653eea28","observation_id":"552b27e7-e475-46cf-ad36-a238c14b256e","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","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":"2026-06-29T09:40:19.624273Z","title":"Gaussian quantum information.Reviews of modern physics, 84(2):621–669, 2012","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-29T09:40:19.624273Z"},"links":{"citing_paper":"/paper/2605.28784"},"observation_digest":"sha256:8ce0bf2d9c7d4e81fdd2590fd13f26af1cf24ddf14142cfe012976d1f16381f7","observation_id":"f356865d-7617-4f25-b9e2-cb5b6fd2b947","resolution":{"observed_at":"2026-06-29T09:40:19.624273Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.28784","last_updated":"2026-05-27T17:43:30Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:43:30Z","title":"Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":39,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":42},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2605.28784."}