{"as_of":"2026-08-13T01:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2489fb2576bb8ef34fc25cf34648039b4d811e2c00531ec838899c3e379da53b","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T23:15:10.574216Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2509.06769/citation-record","integrity":"/paper/2509.06769/integrity","json":"/paper/2509.06769/citation-record.json","paper":"/paper/2509.06769"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:15:13.378306Z","title":null,"venue":null,"work_id":"8aa1bb63-474a-4c4f-bdfd-08411518fcfb","year":2014},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.120006Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:a1dbb2c65ce6ebb92bb5b5837dfd004ce202118b156123daa4c1e85dcb2f00a8","observation_id":"eb6e732f-1d65-4240-ac62-e04bb83f9992","resolution":{"observed_at":"2026-08-04T23:15:13.449482Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:12.638979Z","title":"270, Schloss Dagstuhl – Leibniz- Zentrum f ¨ur Informatik, 2023, pp","venue":null,"work_id":"1bb2e9d4-f09d-4cfe-aaa6-f76d02881f55","year":2023},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.533933Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:cd9655cfbd5b83241ae69384cad255eb50e7cfc52131e41d8e12ee5bebd514e3","observation_id":"7d0b1f8f-4403-4053-bb1c-6a73dff96f14","resolution":{"observed_at":"2026-08-04T23:15:12.727637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:11.874034Z","title":"Jay,Local adjunctions, Journal of Pure and Applied Algebra53(1988), no","venue":null,"work_id":"2f5e9119-b744-4795-8d6a-974d9cf70ac4","year":1988},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:10.048285Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:0be1bdad72708c0427c54e11df3c6e5ae32c047669dee97611636ee95ad3c765","observation_id":"ca64f9b5-d347-4fab-96c2-cdc843039fc1","resolution":{"observed_at":"2026-08-04T23:15:11.934272Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:11.479918Z","title":"Melli `es and N","venue":null,"work_id":"3172bbed-7818-4b45-b740-407a1c0d7c28","year":2023},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:10.328146Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:f365ad601cb8c74e3dfe26d043750085da932f414057e43e4221396095cb33e1","observation_id":"a5e424bd-e4b5-4b74-9aa2-13d8d02f4dbc","resolution":{"observed_at":"2026-08-04T23:15:11.556653Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:11.060108Z","title":"3, 279–290","venue":null,"work_id":"37b5e224-3917-48f5-a740-7c13a6f620ef","year":1982},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:10.574216Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:5476799e13941cefda1e6bf3d15e5f97d7d18432c754c7cc10cad6d7ebed6fef","observation_id":"913905a3-236b-4e4c-8c30-662dd9d39f67","resolution":{"observed_at":"2026-08-04T23:15:11.133441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:11.345300Z","title":"6, 171–200","venue":null,"work_id":"e6cddc39-b73e-44d9-90f2-4ca272781ef2","year":2021},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":298,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:10.419378Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:59465e2a5ae7c0a96bdd1455e612fa5961f58468df1fd4b48c94ff900e7a80ec","observation_id":"1eadb1b8-7aba-46d7-95e8-cfe54e185efa","resolution":{"observed_at":"2026-08-04T23:15:11.431380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:12.326288Z","title":"Day and S","venue":null,"work_id":"fe776847-08bb-402c-9c1e-aa2b3dc5fda5","year":2007},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":1970,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.676482Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:19dd2420570ffa17617d0b0346a4110683c398e963336a30729ab60ad8917fb1","observation_id":"cb1b8d4d-f3ac-49f9-b9b7-19db9bc0d47c","resolution":{"observed_at":"2026-08-04T23:15:12.395170Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:12.012454Z","title":"1, 5–62 (fr)","venue":null,"work_id":"685db465-7d4a-4b55-a5e8-6780e26524aa","year":1980},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":1978,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.940105Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:7ce51f97a53eb59023d9da48d3b204789da3ab14b415e0d1b3282a344f629c64","observation_id":"b248027f-bb97-4266-9063-1384291664a6","resolution":{"observed_at":"2026-08-04T23:15:12.069103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:11.201872Z","title":"Salomaa and M","venue":null,"work_id":"f635efaa-a407-4683-ad5e-25ed31c76982","year":1978},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":1992,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:10.496299Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:4bd3963eab246454fc1677cb6a3f1b25020f001580424d3779830fae6bb2a33a","observation_id":"9623bb04-40f6-43a7-94c0-11a5c9c2aadd","resolution":{"observed_at":"2026-08-04T23:15:11.270116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:12.795484Z","title":"Boccali, A","venue":null,"work_id":"413f7b50-2e33-425d-8fa8-98330e302c35","year":2023},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":1998,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.449368Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:32f4cf880967d7d0129d9c8f48c6eab288138004ce13af29d05d0e38ca8223c1","observation_id":"0b440d6f-8eaf-4d42-b15d-b6568f09d21d","resolution":{"observed_at":"2026-08-04T23:15:12.870345Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:13.063527Z","title":"Beauville,Jacobians of spectral curves and completely integrable systems, Integrable Systems and Quantum Groups1620(1995), 25–31","venue":null,"work_id":"a306bdf4-c816-4609-8330-85f7e4bdc87c","year":1995},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":2003,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.279770Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:ff3db8f131d40d87aed52d3b231c62c7a3109b6aade471c4c021e5e8260e04dc","observation_id":"e235d455-3802-403d-8666-51d058e6ee04","resolution":{"observed_at":"2026-08-04T23:15:13.118178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:13.209067Z","title":"2, 722–739 (eng)","venue":null,"work_id":"07838a61-0538-4113-b606-0203ed5ab325","year":2012},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":2010,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.211834Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:c02d5116838191380760a32eaad3da0098f2715cf7c58b45d6421e108bc92433","observation_id":"6b0d92b2-6c8c-425c-80fe-7c9925c188f5","resolution":{"observed_at":"2026-08-04T23:15:13.272916Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.01882","last_updated":"2025-01-03T16:21:08Z","snapshot_observed_at":"2026-08-11T11:31:15.319503Z","submitted_at":"2025-01-03T16:21:08Z","title":"Monads and limits in bicategories of circuits","version":1},"cited_work":{"arxiv_id":"2501.01882","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.01882","snapshot_observed_at":"2026-08-04T23:15:10.662639Z","title":"Monads and limits in bicategories of circuits","venue":"math.CT","work_id":"1bc8cddf-46c4-4ea1-8756-cfb0197f8ae6","year":2025},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:10.118538Z"},"links":{"cited_paper":"/paper/2501.01882","citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:c00687798accc45bc5943f277fce270ee5bf00552d93cfde3490ed913d1e1540","observation_id":"01451761-6253-43d5-a411-d334457a28b7","resolution":{"observed_at":"2026-08-04T23:15:10.760494Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.08083","last_updated":"2019-04-17T05:11:42Z","snapshot_observed_at":"2026-07-06T07:46:40.505299Z","submitted_at":"2019-04-17T05:11:42Z","title":"A 2-Categorical Study of Graded and Indexed Monads","version":1},"cited_work":{"arxiv_id":"1904.08083","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.08083","snapshot_observed_at":"2026-08-04T23:15:10.864265Z","title":"A 2-Categorical Study of Graded and Indexed Monads","venue":"math.CT","work_id":"4916beae-15bf-482d-9a83-ab724c1f6cb8","year":2019},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.741039Z"},"links":{"cited_paper":"/paper/1904.08083","citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:3af4200ae5ad1e692fc857e0639ac9924c1dcc1d10e09a011220dbbb2a46b8f4","observation_id":"f52a0d73-39d7-46b2-a4eb-2f27f92f917d","resolution":{"observed_at":"2026-08-04T23:15:10.931025Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:12.142511Z","title":"Goubault and S","venue":null,"work_id":"47958d6e-f316-40b3-a1ee-0ac90790ab45","year":2019},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.845526Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:17e30c10ba6e88c80177b96ac4a94ea044c118e936efb5ea1b84ed9669e3b747","observation_id":"9d047b12-1801-411c-a367-0c960bffea7b","resolution":{"observed_at":"2026-08-04T23:15:12.232298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:11.623507Z","title":null,"venue":null,"work_id":"60cda7cb-cba1-4f04-a739-7e805069f746","year":2022},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:10.251656Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:8d35ce8916b9d4cdf2da1cb4498c68d81cd47ef49e9649388fb6dcb8eba137a5","observation_id":"1f7aac5d-0780-4344-a98b-eea521d266d9","resolution":{"observed_at":"2026-08-04T23:15:11.679962Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:12.934625Z","title":"Betti and S","venue":null,"work_id":"bdda2398-2f92-436b-a6df-e787c6c6bf87","year":1981},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.372286Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:fac0211cc441ab313b620a2931210a3bf81a1556484116a2339fab9c69b41385","observation_id":"47843eac-672c-4b0f-885b-38d6a403ce80","resolution":{"observed_at":"2026-08-04T23:15:12.993534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:12.486387Z","title":"Boalch,Symplectic manifolds and isomonodromic deformations, Advances in Mathematics163(2001), no","venue":null,"work_id":"250e2a70-3b3b-4d61-b90c-a6a6bbff2f60","year":2001},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:09.570855Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:6b54be1899982f309786dbb832b1c1186d5e236c5273e2d34db54b58f5359c1b","observation_id":"ae1fef07-0fc9-45ed-907b-c8d2c4528567","resolution":{"observed_at":"2026-08-04T23:15:12.575464Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-04T23:15:11.768497Z","title":"Malgrange, ´Equations diff´ erentielles ` a coefficients polynomiaux, Progress in Mathematics96(1991), 313–371","venue":null,"work_id":"5d76c05c-10e0-4759-9341-fa758961040c","year":1991},"citing_paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-04T23:15:10.185342Z"},"links":{"citing_paper":"/paper/2509.06769"},"observation_digest":"sha256:9ff3f6146d3c2f90229195539d635420fec72e3c655ae28f1fbe32fbd8587161","observation_id":"01571d83-3bd4-45df-a25e-a5343225d465","resolution":{"observed_at":"2026-08-04T23:15:11.813865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.06769","last_updated":"2025-09-09T21:17:26Z","latest_version":2,"primary_category":"math.CT","snapshot_observed_at":"2026-08-04T23:15:07.126243Z","submitted_at":"2025-09-08T14:53:31Z","title":"Two-dimensional transducers"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":2,"verified_exact":1,"verified_fuzzy":15},"total_outbound_references":19},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2509.06769."}