{"as_of":"2026-08-07T03:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b344a6f0dd98932748ad4d26cd11cd4c85f7aa7551523963460b2f8f2e9465c0","coverage":[{"denominator":46,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":46,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T17:12:06.320233Z","state":"measured"},{"denominator":46,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":46,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+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/2606.28518/citation-record","integrity":"/paper/2606.28518/integrity","json":"/paper/2606.28518/citation-record.json","paper":"/paper/2606.28518"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Bravyi and A","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:18fb865185d734a83c91976d3c34e3a453be4491cabd2771853e0290396336de","observation_id":"8d2da9f8-2d32-4a78-9c62-f38edcbae339","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"Eastin and E","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:7ab4d2f7479d55ed8ac85d6b2e0ea304a2de4915e8473474cc137c590ca76dd0","observation_id":"a1256478-26a8-4d78-92f6-cb30b17963d2","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"Gottesman and I","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:da3b8d5e14858f6327acc4830000ccc912098241d9429ba281642c19ddf9fddb","observation_id":"0e9cc292-b185-4a4e-b782-38af7651c8cb","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"Sales Rodriguez, J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:5f228cf7acd0897f74a1da29d8f917f3d0a909ec6487c65c68ed8eed98914bcc","observation_id":"36e81b2b-e7cf-40f4-be27-11d0b31cb3d2","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:575f589f57c3ddad43f6e7cedbc8b1a5115cc42969cf810bd7390cc20ba3123f","observation_id":"e9c0213e-8d86-4e29-8fe8-999736caf33b","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.09749","last_updated":"2021-04-13T00:09:59Z","snapshot_observed_at":"2026-07-06T07:55:00.249738Z","submitted_at":"2019-05-23T16:09:46Z","title":"How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.09749","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Gidney and M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1905.09749","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:c5e6f014487227aa8b9b703f2c1d1ea7dbdef1e1ac0604e69f7c01f3a9eb70a0","observation_id":"70560b05-b0bd-422d-870b-70fbf1b02388","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:cdc0fef543954ac3b5cb73ac7013e5ff697bdc3e6907bbcfeb926399df70ffff","observation_id":"337c72a2-ffeb-4be1-9c78-006baf65cedb","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1209.2426","last_updated":"2012-09-11T20:04:05Z","snapshot_observed_at":"2026-07-06T02:55:24.800852Z","submitted_at":"2012-09-11T20:04:05Z","title":"Magic state distillation with low overhead","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1209.2426","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Bravyi and J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1209.2426","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:14b8101e7f44bb2191d82aee1270137a10f60929f6882d59b03496f49ea38933","observation_id":"d7731b45-d879-4864-82c7-ec4cbd4545fc","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.09333","last_updated":"2021-08-18T19:44:08Z","snapshot_observed_at":"2026-07-06T08:31:00.030545Z","submitted_at":"2019-10-21T13:04:32Z","title":"On Optimality of CSS Codes for Transversal $T$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.09333","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Rengaswamy, R","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1910.09333","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:07ee802e9f80575a5122045309ade88b3c9462c7a7e6142d0a834e3704dd8d8f","observation_id":"87bd2d4f-e1d1-4227-829a-529d7775e40f","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1709.02832","last_updated":"2018-05-30T22:41:28Z","snapshot_observed_at":"2026-07-06T05:58:49.465544Z","submitted_at":"2017-09-08T18:50:40Z","title":"Codes and Protocols for Distilling $T$, controlled-$S$, and Toffoli Gates","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.02832","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Haah and M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1709.02832","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:f1ee892d6337622f7604cb685a9edc4d4cfb66c7c89b677a8572d25f5b7acb65","observation_id":"8bb81c30-f79e-43e8-a915-08ef02d5290e","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"cond-mat/0607736","last_updated":"2006-07-29T12:38:53Z","snapshot_observed_at":"2026-07-07T02:32:43.661403Z","submitted_at":"2006-07-27T18:45:40Z","title":"Exact Topological Quantum Order in D=3 and Beyond: Branyons and Brane-Net Condensates","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"cond-mat/0607736","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Bombín and M","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/cond-mat/0607736","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:64adfc875720b3d87899b7243837db0c0acdb293b89a08c8ccb100ff9f6e5674","observation_id":"af122249-252b-43a1-875c-d0ca22b91b60","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.4872","last_updated":"2013-02-21T00:05:48Z","snapshot_observed_at":"2026-07-06T03:02:27.037993Z","submitted_at":"2012-12-19T22:18:53Z","title":"Distilling one-qubit magic states into Toffoli states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.4872","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Eastin, Phys","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1212.4872","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:edeffd30f7e966fdbb611c2c1037a7296fcb2a9bdbd2a327d9102b13c4e50894","observation_id":"e2105efb-74a6-4a6a-99cf-3f7b67ca0dd9","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.08461","last_updated":"2019-01-07T17:56:31Z","snapshot_observed_at":"2026-07-06T07:16:07.810639Z","submitted_at":"2018-11-20T19:45:36Z","title":"Towards low overhead magic state distillation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.08461","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Krishna and J.-P","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1811.08461","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:171dcedf2356f276e74bbe027ad55c582ba078b76f8983c2a47ece3205983b40","observation_id":"558e4f08-e20b-47ab-b4d6-98d1f1fb08d1","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07764","last_updated":"2024-08-21T03:22:09Z","snapshot_observed_at":"2026-08-04T00:23:30.943944Z","submitted_at":"2024-08-14T18:31:22Z","title":"Constant-Overhead Magic State Distillation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.07764","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Wills, M.-H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/2408.07764","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:bb6272fcea5ee5390fb0ca5d2ea39f1be29f5f9ab8570cb72116e8d1ae285dd4","observation_id":"b99a7373-eff1-4538-8dc3-009c3a5a103a","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.01904","last_updated":"2026-04-30T15:24:37Z","snapshot_observed_at":"2026-07-06T04:58:59.748799Z","submitted_at":"2016-06-06T20:00:10Z","title":"A unified framework for magic state distillation and multi-qubit gate-synthesis with reduced resource cost","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.01904","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1606.01904","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:78291a2ba339bb470f3f8d2b921446db56a7cbf41d1fd64a2d7598557a77036d","observation_id":"0012412b-a416-4733-a84d-2db54826046f","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1204.4221","last_updated":"2012-04-18T22:48:15Z","snapshot_observed_at":"2026-07-06T02:46:39.187131Z","submitted_at":"2012-04-18T22:48:15Z","title":"Magic-state distillation with the four-qubit code","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1204.4221","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1204.4221","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:05752fd545fed2c6ffa965d123a83f679608a1f7cfed8d34f6cd0ef9a6d8c3e2","observation_id":"3c062506-6d69-4842-abff-ec4a7325140f","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1210.3388","last_updated":"2013-03-27T21:34:53Z","snapshot_observed_at":"2026-07-06T02:57:29.647887Z","submitted_at":"2012-10-11T22:52:33Z","title":"Multilevel distillation of magic states for quantum computing","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1210.3388","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Jones, Phys","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1210.3388","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:6c035b02faf5ecfdf94158519eb010522b8e4d0a1062e3d9823c9a4ceb2dd839","observation_id":"e3dfa9ca-123f-490a-aa4e-2e67626eadd4","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.06903","last_updated":"2019-11-06T17:52:15Z","snapshot_observed_at":"2026-07-06T07:53:34.791034Z","submitted_at":"2019-05-16T16:52:52Z","title":"Magic State Distillation: Not as Costly as You Think","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.06903","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1905.06903","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:14fbb2250a32417debe3a6adb51e6d5afaa7a76241c6c5b7158c41b48ec5abde","observation_id":"fa4f2956-f71b-413b-a5ff-921da6316c12","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"Gottesman, Phys","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:4bb31a1817067e625505d1def9c7f44bcb37c4d40554aa141aada78ecc5dfa92","observation_id":"04d69d9a-435f-47ff-8140-997f76f51a2f","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.5069","last_updated":"2012-12-20T14:52:54Z","snapshot_observed_at":"2026-07-06T03:02:29.924238Z","submitted_at":"2012-12-20T14:52:54Z","title":"Novel constructions for the fault-tolerant Toffoli gate","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.5069","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Jones, Phys","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1212.5069","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:c200693a38ed7ac1e45cb214dd7124d2543e6d8eca003f9cbc97e11a1381868e","observation_id":"fa456747-5b97-4236-b568-d43adb09780d","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:fea2028c56042e9e00015c8d1922a26a18703b3ecc752288f901958d5e96b33e","observation_id":"6942e559-0d5b-4389-8b5c-9aaf78254276","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:f3940735b55fed858f034168bdb341eb905c5b9181f213ebd3a94e4933057fd8","observation_id":"cfa7bb2c-a748-471b-b6dd-1ad9f76d4f80","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:c4afd7bcf6fbc26f52e8558218fd213e39b9367d6c72d255b649b9d198baa1da","observation_id":"f8218779-c08e-4354-ae5e-3a65b8dcfbcc","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"Gong, Magic state distillation via codes over binary extension fields, Oral presentation at the Quantum Error Correction 2026 conference (2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:e4aaedadbda3ec7c316e81068f89156633108e3abce139dd3f94e2d7bfc711f8","observation_id":"a8a4bbf0-90b0-4401-aacf-c7bb5e5943e0","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:a55f591ea04b5551c091b8235778524e2b34fe953ce90b2e45a5373f07815108","observation_id":"a7b0ac67-7756-4151-ba6d-8c4f87f51c4d","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.09684","last_updated":"2022-07-26T13:21:48Z","snapshot_observed_at":"2026-07-06T11:30:59.755162Z","submitted_at":"2021-07-20T18:00:08Z","title":"Classification of Small Triorthogonal Codes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.09684","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Nezami and J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/2107.09684","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:3b9d89792817ec15486cb1868b17639cf31bf049b748212eae9a5132873131bc","observation_id":"cdc35cba-9026-4169-a1f6-28daea8860f2","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1608.06596","last_updated":"2016-08-23T18:07:52Z","snapshot_observed_at":"2026-08-06T02:57:16.673715Z","submitted_at":"2016-08-23T18:07:52Z","title":"Diagonal gates in the Clifford hierarchy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.06596","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1608.06596","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:961231f0746ed5c51f7d076ed10e22542ef5e1eccec54b57a5fd346e629134cf","observation_id":"a932acf4-d49a-4b88-bc63-d9389d2e9806","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:7574ab1ce8ad640ff844eba7dc081aff3c5f66ec6c3bc566feb2f2ba7fd95b9a","observation_id":"e90e9417-b709-4694-92e3-e8cc234f5fb0","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:68cc8cd78c631238bd0336e610ac131e66bc12ba09a2511948f8c712d1ffda5a","observation_id":"073493ee-ee66-491c-b638-0b0730f5a6da","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"Steane, Proceedings of the Royal Society of London","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:731a9552dfd57355e7547e4c245a6a64ca109364209979b971c22bcb9435252e","observation_id":"1b9c093f-f70f-45ca-a69e-f806182eea43","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.23263","last_updated":"2024-10-30T17:47:35Z","snapshot_observed_at":"2026-08-03T20:27:51.079497Z","submitted_at":"2024-10-30T17:47:35Z","title":"Computation with quantum Reed-Muller codes and their mapping onto 2D atom arrays","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.23263","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/2410.23263","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:a54f9714911d2921da25bdfff3580a8361d5f62fa0a9376b9c3dc65fe8a47a07","observation_id":"d9488601-54da-4602-a070-6359a9aa0c6a","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:73eb7b803768b896b59aa55a1abbc97b9d3c60ddedf1ee81e51e5c3143f27a0f","observation_id":"70a626c8-3bc7-430e-a268-1d666b134bc8","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"Kubica and M","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:fd2ff9405deef87fd25c7f1ade8b7b063175b7eaedb6acdfe2d2d4ae23976843","observation_id":"4225f85e-b9f4-4958-9fee-06f0307d1e51","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:a74986d1e3d300a3427beb1ad0aebb6271cb26fc0a2269c79c5f24b5b7e90585","observation_id":"9e151fd8-05f7-4446-ae40-93c866ad2f24","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"Gidney, Quirk: A drag-and-drop quantum circuit sim- ulator","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:60f0b4d32dc70147c68fe5bb1107334f7378aca85d1cf7fcb0fd181f6be662f1","observation_id":"be35ce43-70ba-4e6a-8b81-be1902ee485d","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1303.6971","last_updated":"2013-03-27T20:09:55Z","snapshot_observed_at":"2026-07-06T03:09:49.412468Z","submitted_at":"2013-03-27T20:09:55Z","title":"Composite Toffoli gate with two-round error detection","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1303.6971","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Jones, Phys","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/1303.6971","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:fd8f71c8d92eeb6a166c0436e2cfde893c3ecbaaaf33fd3aa7df1768443f877e","observation_id":"16f3dc32-df11-410e-bfcb-0be82d5024c1","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.07734","last_updated":"2026-07-09T08:31:58Z","snapshot_observed_at":"2026-07-12T23:17:33.087864Z","submitted_at":"2026-06-05T18:00:00Z","title":"Exploring the landscape of compact magic-state distillation factories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.07734","snapshot_observed_at":"2026-07-14T17:12:06.320233Z","title":"Jacinto, X","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"cited_paper":"/paper/2606.07734","citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:928c656675a3f1073ed41a85302a9dbd40569743946675ab46fa32b8aec2669d","observation_id":"6b52db62-c751-4874-abf5-4d17aaa94b1a","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"mO + mS odd with mO ≤ 1, mS ≤0","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:b29bb644b605e502bf87f8a1f0ba5d4a5200bb45618eba98c2a7c40a117df491","observation_id":"69502c75-ab64-4738-b1b6-953fee0200bd","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:6e5f94c8914aa616f5ff3e5845f02ed1f0e7464e167ad0d1d8c04277a58aff14","observation_id":"400467c3-d933-42e2-9f70-58908a7105e1","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:e2d83973473251c3fa4c86ca34cbbc531129586bdc9814d386450178cf19ceb5","observation_id":"847842b8-329a-47d9-8c3e-5426cde0d0e7","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"For each parameter tuple( l, n, k, stotal, sO), the gate set W is determined by the three weight-separation setsWtotal, WO, WS as 10 described for asymmetric circuits","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:423081deaacb789244e42f5ef43b343eda9a0f2dd7887f891cf48c02c546fa04","observation_id":"29c8e75a-6b3c-43c7-89cf-2bbef358f861","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:fe7667f29ac7c364a50d3a65582639caa76983e47d57c7624a8002122d274d16","observation_id":"0ce56797-d50a-46c5-ab41-6f6a98cc509f","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"Each row shows the smallestN realizing that combination, the smallest-n parameter tuple producing thatN, and the output magic-state type","venue":null,"work_id":null,"year":2032},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:7df755d72852529cc2f81049f77dd043cfb0c99474b59520fad47e057217d1e6","observation_id":"f93151bd-5873-43be-a7ca-7b643b51ca46","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":", qn−k} and output qubitsO = {qn−k+1,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:1ff32c30d490f2afacfa6ba9c91967bd11bf4a375007d5ee3323fc81556cc67d","observation_id":"cdb1aea3-32d2-490c-b495-fb070ab92980","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":"The four-qubit parent (n = 4, Wj = {1,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:7d3053d3b09937bfb420a4dc6e5b028e211a3393551bf05dbd4d67ae35fdec10","observation_id":"c8b1c8df-4512-4462-8397-f79f642d761b","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","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":"2026-07-14T17:12:06.320233Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-14T17:12:06.320233Z"},"links":{"citing_paper":"/paper/2606.28518"},"observation_digest":"sha256:ad39167330d79795e2da917eef3752e7fac35d7855693e479cc6463c3eed36b8","observation_id":"4003bde1-5e90-4f6b-a311-14ab9b25be16","resolution":{"observed_at":"2026-07-14T17:12:06.320233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.28518","last_updated":"2026-07-13T15:13:28Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-01T18:38:24.767901Z","submitted_at":"2026-06-26T18:14:09Z","title":"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search"},"reference_resolution":{"displayed":46,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":46,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":46},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2606.28518."}