{"as_of":"2026-08-05T04:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4c24c3430e997b04aad1f6c34f46b5642807aacee88aa9549a087f8d2db21147","coverage":[{"denominator":50,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":50,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-23T07:22:21.067408Z","state":"measured"},{"denominator":54,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":54,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-04T06:34:03.388597+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T15:59:36.109383Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T17:37:26.272336Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"cited_work":{"arxiv_id":"2412.17209","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.17209","snapshot_observed_at":"2026-07-10T17:37:26.272336Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","venue":"quant-ph","work_id":"642151b8-a347-46a1-81be-9f371d272624","year":2024},"citing_paper":{"arxiv_id":"2508.20252","last_updated":"2026-05-20T18:07:17Z","snapshot_observed_at":"2026-08-02T02:37:40.803193Z","submitted_at":"2025-08-27T20:17:15Z","title":"Classical Simulations of Low Magic Quantum Dynamics","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-22T12:24:57.501884Z"},"links":{"cited_paper":"/paper/2412.17209","citing_paper":"/paper/2508.20252"},"observation_digest":"sha256:a3aa945de0515f74efe91189e51d84bb96866977f808a65b5c107a1166fe2d17","observation_id":"ccfd7053-53fc-4307-8d48-565aef68928c","resolution":{"observed_at":"2026-05-22T12:26:31.695067Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.17209","snapshot_observed_at":"2026-08-03T15:59:36.109383Z","title":"Liu and B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.15880","last_updated":"2025-12-17T19:00:33Z","snapshot_observed_at":"2026-08-03T15:59:31.153190Z","submitted_at":"2025-12-17T19:00:33Z","title":"Anticoncentration and State Design of Doped Real Clifford Circuits and Tensor Networks","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T15:59:36.109383Z"},"links":{"cited_paper":"/paper/2412.17209","citing_paper":"/paper/2512.15880"},"observation_digest":"sha256:c364dd8fd1d53238dc475c2d5fbceee4283cebb1e625a67608e261735eb649a4","observation_id":"d41f5ba3-82b8-4775-82e5-d9e6063112b5","resolution":{"observed_at":"2026-08-03T15:59:36.109383Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.17209","snapshot_observed_at":"2026-08-02T22:56:25.564482Z","title":"Liu and B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.15942","last_updated":"2026-02-22T16:57:09Z","snapshot_observed_at":"2026-08-02T22:56:22.041109Z","submitted_at":"2026-02-17T19:01:26Z","title":"Limits of Clifford Disentangling in Tensor Network States","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-02T22:56:25.564482Z"},"links":{"cited_paper":"/paper/2412.17209","citing_paper":"/paper/2602.15942"},"observation_digest":"sha256:2a0d6af741f1d2342b1a528804faaff1f86c0933b03bae99535b26d6e21df6af","observation_id":"e4a899d2-7882-4a16-bffc-59cde003f2e7","resolution":{"observed_at":"2026-08-02T22:56:25.564482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"cited_work":{"arxiv_id":"2412.17209","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.17209","snapshot_observed_at":"2026-07-10T17:37:26.272336Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","venue":"quant-ph","work_id":"642151b8-a347-46a1-81be-9f371d272624","year":2024},"citing_paper":{"arxiv_id":"2607.07816","last_updated":"2026-07-08T18:02:03Z","snapshot_observed_at":"2026-08-04T12:08:52.230932Z","submitted_at":"2026-07-08T18:02:03Z","title":"A Sparse and Truncated State Vector Simulator for Peaked Circuits","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-10T17:29:21.990455Z"},"links":{"cited_paper":"/paper/2412.17209","citing_paper":"/paper/2607.07816"},"observation_digest":"sha256:c0a65280d371fa0ca9aab6b4fec23d0a070ffebcc22d25dba7c1df6345441645","observation_id":"46909178-1e84-4878-ae0f-ca70f8e77160","resolution":{"observed_at":"2026-07-10T17:37:26.273657Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.17209/citation-record","integrity":"/paper/2412.17209/integrity","json":"/paper/2412.17209/citation-record.json","paper":"/paper/2412.17209"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"12(b), when LT = 1, S2 has the same rate of growth per layer for NT > 1, while NT = 1 displays obvious deviation","venue":null,"work_id":"7a14bdfb-5250-47b3-b844-af02c1e1cfcf","year":null},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:90c7619ddb3ea0069388c6eb537db9d43d4a3d0b90d289465028cf33ea11f589","observation_id":"e5b8656e-059f-4bcf-b9e1-ff354cedf77d","resolution":{"observed_at":"2026-05-23T07:22:43.959015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"12(a), when NT = 1, S2 has the same rate of growth per T -gate, regardless of the number of Clifford layers LT","venue":null,"work_id":"fa383d8e-d5ef-4e11-8520-8923841356c1","year":null},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:e88fe269aaaf47ca9c61542ab5c48456917b49c318e8bbe4ac013985122ce08f","observation_id":"8974d2f5-1d42-4820-900b-b59ad2a4aa91","resolution":{"observed_at":"2026-05-23T07:22:43.862060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6ca28b95-ff67-4dae-b904-d8467742eeba","year":null},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:dcbe296de97ff7408da0ace9e612ab1dc2b8af975b8c76d2e0164cebbec249e5","observation_id":"aed40d8b-2245-45f0-8ee3-e46878e82bbc","resolution":{"observed_at":"2026-05-23T07:22:43.865548Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"(29) We can evaluate the probability of any bitstring using the method described in Sec","venue":null,"work_id":"4dc14365-3e15-4ac6-99cb-b562dcce5619","year":null},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:8a8d810b87e0c001d6742023f486bf56551817458f545269c79a52a22aa7986d","observation_id":"b2ff00d6-cd0c-4f0f-aed4-1877c9c8449e","resolution":{"observed_at":"2026-05-23T07:22:43.858078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"76a9d21e-9e21-4850-b645-ae115be077b9","year":2018},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:f76a69aaada963b18cf1c15c32fca61f9d7365158489bbfd69265b0c1f1c74d6","observation_id":"ffe5329f-0cfc-48a1-b49f-1bb96e66ea62","resolution":{"observed_at":"2026-05-23T07:22:43.869476Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bouland, B","venue":null,"work_id":"404dfe28-a523-4bb3-a12b-7c805468e52f","year":2019},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:d771a7dc5321837f4c82b745ad12ab51ace8dd31d643de06f929f9907573a751","observation_id":"80e9a79e-cda1-49ac-bee1-00a5ea4b3143","resolution":{"observed_at":"2026-05-23T07:22:43.877114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hangleiter and J","venue":null,"work_id":"5075cca7-dc18-48ce-9180-2bfc3a7e72e3","year":2023},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:cc724628440aff9eaefec9a59e6b73ab162f2ee169a45f85e32a09aca84a7329","observation_id":"0517e6a6-cf03-4d66-b9b2-2c4ca4da7f2b","resolution":{"observed_at":"2026-05-23T07:22:43.873334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Jozsa and A","venue":null,"work_id":"34a8201c-c187-47fd-bedd-a28dd44a0874","year":2008},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:fb3c0a12da26ab13dbcc1174f361f40d8ccf7b54c22277beca8c459883b2e056","observation_id":"c86a38ca-c204-4587-8c62-4543d74117a7","resolution":{"observed_at":"2026-05-23T07:22:43.903275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Aaronson and D","venue":null,"work_id":"aec614c6-cd2f-40f6-b868-bafb63000536","year":2004},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:17fdcc2e25b74787c8e9b18e715d9a8a173235c06a5daa3b32f12c86148f3712","observation_id":"5e795cc5-ce25-4b89-b5c8-0ef4fca4de84","resolution":{"observed_at":"2026-05-23T07:22:43.849604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9807006","last_updated":"1998-07-01T19:34:39Z","snapshot_observed_at":"2026-07-07T07:27:58.465159Z","submitted_at":"1998-07-01T19:34:39Z","title":"The Heisenberg Representation of Quantum Computers","version":1},"cited_work":{"arxiv_id":"quant-ph/9807006","doi":"10.48550/arxiv.quant-ph/9807006","metadata_source":"pith","pith_arxiv_id":"quant-ph/9807006","snapshot_observed_at":"2026-07-10T12:15:01.137692Z","title":"The Heisenberg Representation of Quantum Computers","venue":"quant-ph","work_id":"64ad356b-b16b-40e9-8055-ea3eb48cb88f","year":1998},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/quant-ph/9807006","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:401e68245b4e31dfec18adc3a22aebd9619537c9322e19036088f7c8335f521e","observation_id":"2939cd2f-4c53-4028-85c4-01f62c8ef6f5","resolution":{"observed_at":"2026-05-23T07:22:42.992497Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-07-17T19:50:54.865069+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T19:50:54.865069+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2304f906-fabb-4f7a-b770-72afd4f29449","year":2022},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:13b4e7d6e35a30b52be8491709fb8407057e432967649acf9e8d57e32970310c","observation_id":"790621eb-23c4-424e-a4b8-e6df37b24807","resolution":{"observed_at":"2026-05-23T07:22:43.853731Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:07:03.916749Z","title":"Vidal, Efficient classical simulation of slightly entan- gled quantum computations, Phys","venue":null,"work_id":"5faf5e54-88dc-4fed-b94a-16d202f54115","year":2003},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:a68fdfeb04836cc77dd7231bac75c20ab4c096f19f6c24f614d5690661599c27","observation_id":"401c3ed7-fe26-406e-8479-db8a1cabb0e2","resolution":{"observed_at":"2026-05-23T07:22:43.881079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Vidal, Efficient simulation of one-dimensional quan- tum many-body systems, Phys","venue":null,"work_id":"2bd75cab-7d41-426a-91eb-b4000f55101a","year":2004},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:33c49b22ff94805536b2945c59c4faac95da3e04bd15d1d3107aa43e46ca1cb4","observation_id":"ea5dac3b-acb1-471e-9f71-ebb030352fc3","resolution":{"observed_at":"2026-05-23T07:22:43.966625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a9a1dbf0-9364-44e6-b9cf-d8b02b449064","year":2022},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:5e68c5a30d4fcd9193754aea0937ca8beba1046f2337b07cff7fbd0ce4d2d370","observation_id":"ed08a9bb-c593-4b5a-9783-fac30666a587","resolution":{"observed_at":"2026-05-23T07:22:43.845470Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Pan and P","venue":null,"work_id":"da53cc5e-f346-4b2b-9de7-9d307c2bedec","year":2022},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:b1647c3d092265114c8df42c336d5e9c2ea6f8c369f76d3e32656df41db4ed4d","observation_id":"1c9d3023-0ad7-4caf-b712-5ff623eeed24","resolution":{"observed_at":"2026-05-23T07:22:43.895748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.11525","last_updated":"2022-02-02T01:45:40Z","snapshot_observed_at":"2026-07-06T11:50:47.680453Z","submitted_at":"2021-09-23T17:47:06Z","title":"Efficient approximation of experimental Gaussian boson sampling","version":2},"cited_work":{"arxiv_id":"2109.11525","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2109.11525","snapshot_observed_at":"2026-07-03T14:28:31.419027Z","title":"Villalonga, M","venue":null,"work_id":"da8c0f7e-87f9-431b-84e0-f8b4c110deae","year":2021},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/2109.11525","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:331e6ec2e8264e49ded8d0d12d69a2f5191ecba286200095793a30ab4f2a6103","observation_id":"d62506ba-8fd0-45a4-a3c3-cd96f89dd1fe","resolution":{"observed_at":"2026-05-23T07:22:43.086527Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Beguˇ si´ c, J","venue":null,"work_id":"e95e3031-f755-4c4f-a2e2-89eb0e7e5142","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:d43490a66421b910bd89ee467b13805d9f0be7e8543a4739654812631fbf206a","observation_id":"cef3f7c9-bd31-4371-abdf-fb550dc3045c","resolution":{"observed_at":"2026-05-23T07:22:43.899578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Tindall, M","venue":null,"work_id":"a5d3a9e1-94f3-4ade-ad3c-da52587b49c0","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:b326c63518d5904149556e62a69a0e2c93c2df420465798bcb8ca1cf73f3783d","observation_id":"7dad43d5-fe38-4f74-a139-ec1baaad9604","resolution":{"observed_at":"2026-05-23T07:22:43.906590Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Or´ us, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of Physics 349, 117 (2014)","venue":null,"work_id":"83f3c680-2b41-4afb-b521-80e471b5ffcc","year":2014},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:bd61f482d4faa07b6dd157eb754a25fa11e0c0bb2f03a45250e6b09fd5819cc5","observation_id":"ca8f1876-b2d1-43ad-a7f2-fc3693909b06","resolution":{"observed_at":"2026-05-23T07:22:43.910399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0811.0898","last_updated":"2009-10-14T13:40:02Z","snapshot_observed_at":"2026-07-06T01:45:43.777767Z","submitted_at":"2008-11-06T09:12:13Z","title":"Classical simulation of quantum computation, the Gottesman-Knill theorem, and slightly beyond","version":2},"cited_work":{"arxiv_id":"0811.0898","doi":null,"metadata_source":"pith","pith_arxiv_id":"0811.0898","snapshot_observed_at":"2026-07-10T05:36:48.508339Z","title":"Classical simulation of quantum computation, the Gottesman-Knill theorem, and slightly beyond","venue":"quant-ph","work_id":"3d917af8-9a1d-4d6f-b86a-7d1c24245eed","year":2008},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/0811.0898","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:74ddd78b92c06970bb7cebbc4f8f6b4295740002e2d3eb92654e5076112c6a46","observation_id":"c625c4bb-299f-49fd-91a7-d7991a3d5019","resolution":{"observed_at":"2026-05-23T07:22:43.015837Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"56255dde-6c08-409c-9df9-158f8cb0be32","year":2001},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:a374b1ccfb9af29b7421e4fa6fbdf2b1a8b19a1b274fd349b7926b8c20b19138","observation_id":"50f798bb-5232-4996-b5ad-56577ee55d1c","resolution":{"observed_at":"2026-05-23T07:22:43.937822Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"63067963-f486-4a60-a31d-4d0dee144992","year":2012},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:61decd5107d0a5333bfac646233b870095aa3be30fce97f31f6b86f5b340a170","observation_id":"6a6fe8f0-9067-4530-9de4-8262e96ac7b3","resolution":{"observed_at":"2026-05-23T07:22:43.944092Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bravyi and A","venue":null,"work_id":"44a90475-2671-4202-8f00-04eb00fcac7d","year":2005},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:91cb5399bb02767f75baadfbe22f72cd83be26a7da96a9ee8d3fc085060894a0","observation_id":"034a8f1a-b10c-4c8a-9adf-a5d6a7f2b404","resolution":{"observed_at":"2026-05-23T07:22:43.947682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bravyi, D","venue":null,"work_id":"91775955-4e40-49fe-a8ce-6bb88e957548","year":2019},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:7bb41ef1a23e4d19b8ad782679429811c23a258337430463c197bdad0c75d85e","observation_id":"feb74c55-fca8-4e03-901f-dd936e3c70ca","resolution":{"observed_at":"2026-05-23T07:22:43.951271Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Kissinger and J","venue":null,"work_id":"399326d6-9096-4ea8-ae75-9325158a7871","year":2022},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:b0379e0b2db09745f837384a9a239a143811382eafa64d31133ba6a50fab7d19","observation_id":"b9779fcc-d9bd-457f-b76c-c823b35359ac","resolution":{"observed_at":"2026-05-23T07:22:43.954863Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.04797","last_updated":"2023-07-11T15:41:13Z","snapshot_observed_at":"2026-07-06T15:40:00.975837Z","submitted_at":"2023-06-07T21:42:10Z","title":"Simulating quantum circuit expectation values by Clifford perturbation theory","version":2},"cited_work":{"arxiv_id":"2306.04797","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.04797","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Beguˇ si´ c, K","venue":null,"work_id":"7708c51e-b9ef-44b8-869e-f0b0f84532c3","year":2023},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/2306.04797","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:c26895cb1ab555ab2e51b541af40f6917b0f61dc315f1af4d346ec763141b49b","observation_id":"5a1fb306-3021-4d9b-871b-2416981ce086","resolution":{"observed_at":"2026-05-23T07:22:43.057588Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Pashayan, O","venue":null,"work_id":"28f9eba6-140e-4810-afb6-aa81c3a8e4d4","year":2022},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:491360036cb5d3390d9890e390ba96b6cc2728ab2ad1d2262674ae9d8cc18a85","observation_id":"fd16e3b5-3b84-49eb-add1-9d7defaad945","resolution":{"observed_at":"2026-05-23T07:22:43.941271Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.18751","last_updated":"2024-10-08T11:37:40Z","snapshot_observed_at":"2026-07-06T18:07:06.371095Z","submitted_at":"2024-04-29T14:50:06Z","title":"Quantum State Designs with Clifford Enhanced Matrix Product States","version":2},"cited_work":{"arxiv_id":"2404.18751","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.18751","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Quantum state designs with clifford enhanced matrix product states","venue":null,"work_id":"cf0ba5f9-392a-4b31-a26e-3887e8bb7aa9","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/2404.18751","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:d3c53c4e3c3b348f8f4caa472a05375781f718ccba97427a45c66ac6bbbc850b","observation_id":"68fde6f3-52bf-4dc5-9dd2-91dc066305e8","resolution":{"observed_at":"2026-05-23T07:22:43.063288Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"bdafcd9a-d0db-40ca-9096-22cff7ddeb41","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:7d63fa7c0743dd96618447ec52943dd933f25f249e329c64b85b22a8aa09c5aa","observation_id":"035ecaf0-740a-4393-a1dc-f29df2e90cbe","resolution":{"observed_at":"2026-05-23T07:22:43.962541Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.01692","last_updated":"2024-07-01T18:04:25Z","snapshot_observed_at":"2026-08-04T17:24:56.356818Z","submitted_at":"2024-07-01T18:04:25Z","title":"Clifford Dressed Time-Dependent Variational Principle","version":1},"cited_work":{"arxiv_id":"2407.01692","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.01692","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b683b447-5efb-4bce-b133-eaf60aca1e31","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/2407.01692","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:d80f70f79ab238a76d916ca3477f8f0a12f6521e889f22dedf7c37366fd56d6e","observation_id":"8e6705ad-7193-4a94-ab0a-088ab902991d","resolution":{"observed_at":"2026-05-23T07:22:43.036688Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.03202","last_updated":"2024-07-03T15:34:15Z","snapshot_observed_at":"2026-08-02T16:46:29.558173Z","submitted_at":"2024-07-03T15:34:15Z","title":"Clifford Circuits Augmented Time-Dependent Variational Principle","version":1},"cited_work":{"arxiv_id":"2407.03202","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.03202","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6ba945b6-6f4d-40d1-b020-c216b3c4ff43","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/2407.03202","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:ce619fe0a299093ee8ec7650dfe0c543c69f77df0ea30895a1c07e20b08acc8b","observation_id":"0016d07e-3909-43e1-9a3c-5fdf8b398b4e","resolution":{"observed_at":"2026-05-23T07:22:43.032309Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.16895","last_updated":"2024-09-25T13:06:04Z","snapshot_observed_at":"2026-08-04T12:07:21.422208Z","submitted_at":"2024-09-25T13:06:04Z","title":"Non-stabilizerness Entanglement Entropy: a measure of hardness in the classical simulation of quantum many-body systems","version":1},"cited_work":{"arxiv_id":"2409.16895","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.16895","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Huang, X","venue":null,"work_id":"22a41f61-bb93-4fd7-9626-7dd188eb1654","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/2409.16895","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:a5adcc5e769706d8fcb4498daf71d5f4d4a60db62a18e58fb6caa8bd989a9ecc","observation_id":"5dafc0f0-d897-4cfc-8853-01bbdb178479","resolution":{"observed_at":"2026-05-23T07:22:43.042243Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2410.09001","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3f502c03-ae19-47d7-aa40-594fb538b82e","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:04220ac0d591e9281b8062feddd1442d3a0e026bc068b82224306e16eda32eb8","observation_id":"0a92e15b-ee18-4fdb-b1f5-fc0be2369c1c","resolution":{"observed_at":"2026-05-23T07:22:43.047288Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.06054","last_updated":"2024-12-02T19:21:35Z","snapshot_observed_at":"2026-07-06T18:12:18.103577Z","submitted_at":"2024-05-09T18:57:55Z","title":"Estimating Non-Stabilizerness Dynamics Without Simulating It","version":2},"cited_work":{"arxiv_id":"2405.06054","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.06054","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Paviglianiti, G","venue":null,"work_id":"5ff8e7b4-fce2-4b65-b2dd-9a916a3aa545","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/2405.06054","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:3ecbbe741bbe7a90954a0120facb4c2a915ce3643eccc1983d87c9b9b28b4066","observation_id":"8c93594e-1379-4d19-8b80-df10594f80e3","resolution":{"observed_at":"2026-05-23T07:22:43.021286Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8f7ba5ed-b4c0-4c4a-adb4-0dd7bf2830ba","year":1999},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:cf5f70b13b09b5275a01e3851e5d64bd7b5af46082454f5a303c69081fb02b80","observation_id":"c9f7d130-f406-4b63-b3f9-be0ce4e81a01","resolution":{"observed_at":"2026-05-23T07:22:43.934450Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Gidney, Stim: a fast stabilizer circuit simulator, Quan- tum 5, 497 (2021)","venue":null,"work_id":"111bc9c1-d7dc-4945-a640-21cf4c0abc44","year":2021},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:526c876a61132d19b4177c8b03543ce0d55dcacc097e376eefc7128fa8fd0126","observation_id":"c4086c92-78ae-4103-b3b4-8c496362a30c","resolution":{"observed_at":"2026-05-23T07:22:43.927810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d4c29b57-693e-4a01-baaf-7aeeb11482b8","year":2020},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:9c0a5aa289302c1544453d5bb7f5ce064edf53605e1759cc95aaabee9019f41e","observation_id":"f1749e5e-af44-4d31-92e2-35642c3657e1","resolution":{"observed_at":"2026-05-23T07:22:43.931018Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ayral, T","venue":null,"work_id":"b881229f-69a5-4245-9a31-cc1e5df91067","year":2023},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:136bd74c775341931064233871b28b2f5b024497faa46960fde0a405d6786263","observation_id":"594f969e-8f24-441e-9005-2fe8ae4f3f71","resolution":{"observed_at":"2026-05-23T07:22:43.920954Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"41e7d2fc-3b28-4c98-b8af-a70f05410076","year":2025},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:5b33e5e91dffc57e0f5e76f71c30e8289251274fa5d6e94de83e735ec06e9429","observation_id":"40b35c36-c1fa-4460-b372-6d4945a399d2","resolution":{"observed_at":"2026-05-23T07:22:43.913548Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T04:36:45.712819Z","title":null,"venue":null,"work_id":"aaf57608-31b2-4bfc-a61d-8ec8cc9d25de","year":1980},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:0bd2c1ed0700345db9e0edd362034590694bb6815453cd49e8d59f9baec7e34d","observation_id":"c4d66db0-4154-4a3a-a139-126abe0542e2","resolution":{"observed_at":"2026-05-23T07:22:43.917401Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1e297457-f4ec-454c-9787-9b2be0d430a2","year":2016},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:621d65ef727deff00f210b3de16bca53d62ac3556ae598a0adafd2d4992ccae9","observation_id":"6c94989f-421f-4117-bb0c-efdf2244bf4d","resolution":{"observed_at":"2026-05-23T07:22:43.924281Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.07281","last_updated":"2024-04-10T18:21:11Z","snapshot_observed_at":"2026-07-06T17:58:30.961334Z","submitted_at":"2024-04-10T18:21:11Z","title":"Certifying almost all quantum states with few single-qubit measurements","version":1},"cited_work":{"arxiv_id":"2404.07281","doi":"10.48550/arxiv.2404.07281","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.07281","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Huang, J","venue":"arXiv (Cornell University)","work_id":"dbead685-ddbc-4932-af59-3eb977ac9179","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/2404.07281","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:7c56f11b4c9ac50118cfb6c79f98961b3b4858457ef85b4a383c3954ca577fc0","observation_id":"4e94e933-0d61-4d8e-b563-147aa2adf69b","resolution":{"observed_at":"2026-05-23T07:22:43.026940Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0406168","last_updated":"2004-06-23T03:21:59Z","snapshot_observed_at":"2026-07-07T07:16:20.902237Z","submitted_at":"2004-06-23T03:21:59Z","title":"Entanglement in the stabilizer formalism","version":1},"cited_work":{"arxiv_id":"quant-ph/0406168","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/0406168","snapshot_observed_at":"2026-07-10T08:16:58.887441Z","title":"Entanglement in the stabilizer formalism","venue":"quant-ph","work_id":"429896de-6970-4854-abd5-914c024585da","year":2004},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/quant-ph/0406168","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:34b3230dde8b962ed3bed056cad7958ddb8b82dc8d270747d0b812a10149bb9b","observation_id":"f5b87391-21ea-4469-91a2-c58b7be72320","resolution":{"observed_at":"2026-05-23T07:22:43.052113Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2503.08620","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-01T14:55:48.718142Z","title":"Viscardi, M","venue":null,"work_id":"0f4a60e2-2eae-456e-8341-001cd8d83b0e","year":2025},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:9f1c25f86216fd7aaf3c4ef0f30f51a62f487d322dc66cebda8bb412b0008214","observation_id":"6cdced22-0f3a-4003-960c-761cfb66beb6","resolution":{"observed_at":"2026-05-23T07:22:43.095829Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19610","last_updated":"2024-04-19T15:05:57Z","snapshot_observed_at":"2026-07-06T17:52:42.437336Z","submitted_at":"2024-03-28T17:31:13Z","title":"Magic-induced computational separation in entanglement theory","version":3},"cited_work":{"arxiv_id":"2403.19610","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.19610","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Magic-induced computational separation in entanglement theory","venue":"quant-ph","work_id":"d20ce7d8-223c-497d-b7dc-615a2d67b6f8","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/2403.19610","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:d167321efd274e6985aa408936d83fbbee6dccab2521207bbb15d805c00e40e2","observation_id":"83981d40-5748-43c9-ab83-4dd420989c86","resolution":{"observed_at":"2026-05-23T07:22:42.998256Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bejan, C","venue":null,"work_id":"e693117c-c8c5-4962-b649-cb6cf48f408a","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:aede47320f3cc88d673dacd46e50be1bf37d67d34e0911301a23dd0472f8cc73","observation_id":"5b69f0a8-e851-4b33-a9a4-fe7c09a3a9a8","resolution":{"observed_at":"2026-05-23T07:22:43.891826Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.13809","last_updated":"2025-02-06T16:55:38Z","snapshot_observed_at":"2026-08-04T14:32:24.004743Z","submitted_at":"2024-09-20T18:00:00Z","title":"Classical Simulability of Quantum Circuits with Shallow Magic Depth","version":2},"cited_work":{"arxiv_id":"2409.13809","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.13809","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zhang and Y","venue":null,"work_id":"6ab95af4-923f-4f4b-9cb7-abc5ed9e018a","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"cited_paper":"/paper/2409.13809","citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:6612b5631c4d1e3b727e5caf8c3d513e33b2daf8eb3bafaebd8754a94612121c","observation_id":"868441f1-751e-4d75-969c-6f5d4f2b6613","resolution":{"observed_at":"2026-05-23T07:22:43.003838Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2503.04566","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T12:28:07.088840Z","title":"Wei and Z.-W","venue":null,"work_id":"655b7269-58aa-4a1f-8108-39c6ec559b92","year":2025},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:e51e4e3d842137e61a30bea5582339e21b81b1a51b059e65bd5c95b28a735fe1","observation_id":"8ac2133a-f6dc-47b3-901b-bb3278d55095","resolution":{"observed_at":"2026-05-23T07:22:43.010231Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"9af35b2e-3804-4a97-9d2d-2247e31eac1c","year":2025},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:8dc709608ff0862deb357c86b9c8a8c69c4b831a76d7ec29811470bab9a20886","observation_id":"c3694eaa-4691-464d-8f3b-de26dbb8da4f","resolution":{"observed_at":"2026-05-23T07:22:43.884661Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Lami and M","venue":null,"work_id":"3687a9b4-5425-40ca-8cef-28ce104e5e82","year":2024},"citing_paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-23T07:22:21.067408Z"},"links":{"citing_paper":"/paper/2412.17209"},"observation_digest":"sha256:55953d6ed32c612ca628cb84c396627cf6d5d9e5d54ffa0935421ceee2a75328","observation_id":"45c1deee-6c30-465a-85cd-d43ea5a57ef0","resolution":{"observed_at":"2026-05-23T07:22:43.888054Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.17209","last_updated":"2025-08-26T05:12:51Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-07-06T20:11:51.206261Z","submitted_at":"2024-12-23T01:26:40Z","title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states"},"reference_resolution":{"displayed":50,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":16,"verified_fuzzy":21},"total_outbound_references":50},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 4 inbound Pith citation observations for arXiv:2412.17209."}