{"as_of":"2026-08-10T20:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e8d8c63c366fef1b32d8f06d65749dd6108707fce2e39c239c9e822e6fa79c5c","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T23:23:38.742822Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T23:25:05.634003Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T04:59:36.773174Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.04168","snapshot_observed_at":"2026-08-08T23:25:05.634003Z","title":"Cyclic quantum causal mod- elling with a graph separation theorem","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.04171","last_updated":"2025-02-07T10:22:07Z","snapshot_observed_at":"2026-08-08T23:14:23.992965Z","submitted_at":"2025-02-06T16:02:57Z","title":"Cyclic functional causal models beyond unique solvability with a graph separation theorem","version":2},"reference_index":1982,"source":"pdf_text","source_observed_at":"2026-08-08T23:25:05.634003Z"},"links":{"cited_paper":"/paper/2502.04168","citing_paper":"/paper/2502.04171"},"observation_digest":"sha256:2eec68ae6fa83d28c99600479bb686c97c9b03ef8f898c4ae52782a0392c39d5","observation_id":"7b1461ee-cd9d-413b-a6ac-ee277955e27c","resolution":{"observed_at":"2026-08-08T23:25:05.634003Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.04168","snapshot_observed_at":"2026-08-07T13:31:51.668618Z","title":"Vilasini","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.21797","last_updated":"2025-05-27T22:05:59Z","snapshot_observed_at":"2026-08-09T01:19:04.838022Z","submitted_at":"2025-05-27T22:05:59Z","title":"Events and their Localisation are Relative to a Lab","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T13:31:51.668618Z"},"links":{"cited_paper":"/paper/2502.04168","citing_paper":"/paper/2505.21797"},"observation_digest":"sha256:62a67928ad569ad5765955382050ba6517eb9da581296b3c40a1289a71793120","observation_id":"e1c8887b-5f8e-46cb-afa6-066b499af255","resolution":{"observed_at":"2026-08-07T13:31:51.668618Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.04168","snapshot_observed_at":"2026-08-06T05:17:00.885752Z","title":"Vi- lasini","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.02463","last_updated":"2025-08-04T14:30:46Z","snapshot_observed_at":"2026-08-09T01:19:44.667678Z","submitted_at":"2025-08-04T14:30:46Z","title":"An equivalence between time-symmetry and cyclic causality in quantum theory","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T05:17:00.885752Z"},"links":{"cited_paper":"/paper/2502.04168","citing_paper":"/paper/2508.02463"},"observation_digest":"sha256:8357c97c8adb790636fe892610dc376324f42270f2a5e818bbfbd53062e21817","observation_id":"f573f19a-23dc-4fb4-a6ad-6d735f9c4d3c","resolution":{"observed_at":"2026-08-06T05:17:00.885752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"cited_work":{"arxiv_id":"2502.04168","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.04168","snapshot_observed_at":"2026-07-04T04:59:36.773174Z","title":"Cyclic quantum causal modelling with a graph sepa- ration theorem","venue":null,"work_id":"8c57d6f4-39ad-4c75-ac1a-46723effaa8f","year":2025},"citing_paper":{"arxiv_id":"2605.08351","last_updated":"2026-05-08T18:01:12Z","snapshot_observed_at":"2026-07-06T23:20:33.816373Z","submitted_at":"2026-05-08T18:01:12Z","title":"Higher-order quantum processes respecting closed labs in a spacetime have quantum controlled causal order","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-12T00:58:12.340348Z"},"links":{"cited_paper":"/paper/2502.04168","citing_paper":"/paper/2605.08351"},"observation_digest":"sha256:321f43ca7c983c3e4fa1a445848863bdad8351ea777fd02a16d32829071eabd4","observation_id":"75c75ad1-bc2c-43ab-8513-a52658525713","resolution":{"observed_at":"2026-05-12T08:36:24.709663Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"cited_work":{"arxiv_id":"2502.04168","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.04168","snapshot_observed_at":"2026-07-04T04:59:36.773174Z","title":"Cyclic quantum causal modelling with a graph sepa- ration theorem","venue":null,"work_id":"8c57d6f4-39ad-4c75-ac1a-46723effaa8f","year":2025},"citing_paper":{"arxiv_id":"2606.20476","last_updated":"2026-06-18T16:55:05Z","snapshot_observed_at":"2026-07-06T23:55:38.979306Z","submitted_at":"2026-06-18T16:55:05Z","title":"Impossibility of superluminal signalling rules out causal loops in conical spacetimes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-26T16:28:22.561103Z"},"links":{"cited_paper":"/paper/2502.04168","citing_paper":"/paper/2606.20476"},"observation_digest":"sha256:04d884c8eaa0f8b39b2470e3306413e0b8ecfdb8f1815add4428ff3fcb30631f","observation_id":"15a399d6-b4d0-4227-80f1-6dbd6a7ee50c","resolution":{"observed_at":"2026-07-04T04:59:36.775126Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.04168/citation-record","integrity":"/paper/2502.04168/integrity","json":"/paper/2502.04168/citation-record.json","paper":"/paper/2502.04168"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T23:23:39.260274Z","title":null,"venue":null,"work_id":"2f8106d9-61a1-4cc3-9e82-f1a1a876700d","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.406848Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:f516565fe1e63331d69588d02403c26c85f847986e38868dd6b7b1fc96b66425","observation_id":"05cd40fc-63a1-475f-8801-a20f5c622ce9","resolution":{"observed_at":"2026-08-08T23:23:39.264169Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.250861Z","title":"Note that the original papers [BLO20, BLO21] useρAi|Pa(Ai) rather thanσAi|Pa(Ai) for the channels mentioned in the above definition","venue":null,"work_id":"bd46eb82-3d79-4bee-9566-38685959f89f","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.411078Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:9b6d361c5997a9851275dbe719570f03f691ff7a6dad08bbac443e3943769fe9","observation_id":"fcb2cc98-dfb9-4f6e-beac-0e4b7aa82c9c","resolution":{"observed_at":"2026-08-08T23:23:39.254368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.241223Z","title":null,"venue":null,"work_id":"7c89f307-85bd-48e7-a01e-b1097a14a332","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.415265Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:057fd5fdd02e8a5524cd1effcb6d5dac08641910c896c4dc8b35a56c848f2aa2","observation_id":"8fc88343-95af-459b-b0d8-ebf7620e4cb0","resolution":{"observed_at":"2026-08-08T23:23:39.244517Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.230787Z","title":null,"venue":null,"work_id":"edf7c254-2152-4d97-96e8-a9c3de887a89","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.418741Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:99b4fccea828244557d103dddd4b280f3bc61b531acf3dfd0ec4cbad709573ce","observation_id":"b83c20c5-1b72-45be-aba8-73da16aef7ab","resolution":{"observed_at":"2026-08-08T23:23:39.234483Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.220827Z","title":null,"venue":null,"work_id":"1f142782-22fd-49fd-9962-d3ae9ca0aebd","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.421885Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:c23729d60e3c785bc13c05f8b4819f286d32a9349166ed2832951aa17a69b4b1","observation_id":"dca45353-2573-46f6-8138-d5104266f4f6","resolution":{"observed_at":"2026-08-08T23:23:39.224251Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.210798Z","title":"We will use a notation where ifV′⊆V is a non-empty subset of vertices, XV′ = ∏ v∈V′ Xv (130) where∏here denotes the Cartesian product","venue":null,"work_id":"4b6aa806-5fc6-4947-9bc9-732c514e4b30","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.477438Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:0e5ed969ffcbcf0d97f285d6221a5fe011cca69b6a506befc6c3eec772527322","observation_id":"ef106ccc-3199-4a07-b567-580fd24f30ad","resolution":{"observed_at":"2026-08-08T23:23:39.214369Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.201254Z","title":null,"venue":null,"work_id":"3175a673-8203-4c5f-a2f1-f02e46565dc5","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.519201Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:5affcaf5af3aaae4a6e5ae5fef5e6dbb863356e979fcb7734b240157ec48347e","observation_id":"192040f7-5c1d-4375-90a2-2f3237777422","resolution":{"observed_at":"2026-08-08T23:23:39.204533Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.191845Z","title":null,"venue":null,"work_id":"7a06a499-75f4-4612-9f74-4a53e3d9d87a","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.529081Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:28f960a47687408a48827fc0e85ec4ec2be369982efdbd0b9dd64c85bba444e1","observation_id":"6a3c586f-d586-4b5a-b7a4-338effea4420","resolution":{"observed_at":"2026-08-08T23:23:39.195174Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.183584Z","title":null,"venue":null,"work_id":"f6f9507b-f130-4d01-b7a2-03f7cf019b87","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.564186Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:dd6d275bfb1c8f9336343a389d49d309975aa25dd64a561745023784544d633c","observation_id":"afed5506-9965-4e1e-be05-7c40a59fb009","resolution":{"observed_at":"2026-08-08T23:23:39.186542Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.175331Z","title":null,"venue":null,"work_id":"ce373f4f-da53-4684-a108-2973fe2f0505","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.604261Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:963490ca31e847eabced5fbcc4984aae91f017ac4a373273c3864f6a1acc3e86","observation_id":"0f8a5aa6-57e4-4517-b399-bd136049265b","resolution":{"observed_at":"2026-08-08T23:23:39.178031Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.167057Z","title":null,"venue":null,"work_id":"7348073b-cf0b-4f5a-b4d6-a07143319c5d","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.637696Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:0f146deb73878574ec50e3bf61f07b2bcfe091009c461a5795ed7069e5c1a9c7","observation_id":"f80a7c14-7af9-406c-a876-4bbdaa63c42f","resolution":{"observed_at":"2026-08-08T23:23:39.169918Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.157972Z","title":null,"venue":null,"work_id":"5fd92567-fcc1-4215-945e-bbaa47e1a010","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.684589Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:821f5e5c4a3f39c1a6907678583bf511392dd429aaae6d187fe26c354c2803a0","observation_id":"2668b37c-4e85-4d2a-8ed8-4940c7881f1c","resolution":{"observed_at":"2026-08-08T23:23:39.160959Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.148028Z","title":null,"venue":null,"work_id":"eb2fbbdb-b819-41ff-b716-6a8ec77b78e6","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.692241Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:0f8f135ae66f6bc0bcb9a91f36ad8b5bb0bfb4b106a388d36c1eb88df2833d17","observation_id":"37cfa943-7d0f-447c-a971-a27d198d1c00","resolution":{"observed_at":"2026-08-08T23:23:39.151481Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.138227Z","title":null,"venue":null,"work_id":"4813d238-48ec-4435-b342-b1a7cf8f20b4","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.695455Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:edf198a23bbc8133e8b13838359d0a67017f7a49cf7e8f447b7bff21b70f9db8","observation_id":"7b7154bc-9901-4260-ae6f-e69756beb53a","resolution":{"observed_at":"2026-08-08T23:23:39.141886Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.128313Z","title":null,"venue":null,"work_id":"20e79ccd-8da9-475f-a515-a212faa066eb","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.698729Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:225f1bafe1e1ace6205962901b1371298750bed236cd38a6ab2b667597e5c1fa","observation_id":"2a68fddd-659a-48e5-9e38-3a57e382fb5f","resolution":{"observed_at":"2026-08-08T23:23:39.131851Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.118384Z","title":"Outgoing edges fromRi, (Ri,T i) and (Ri,v′ i), are quantum edges","venue":null,"work_id":"7fd17b7d-18bf-4a26-8dd3-30130da7d1a1","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.701504Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:44acfff23b2824691d514d9cefee9374c1a9c8bbf76cd4109d2d58de699d99b8","observation_id":"fa75f1bf-ff3b-458b-a9a0-ecfe39d00da6","resolution":{"observed_at":"2026-08-08T23:23:39.122011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.109452Z","title":"We refer toVs(Gc,tp) as the split vertices ofGc,tp","venue":null,"work_id":"126e3812-548b-4f3f-9ec8-8e92145b68f4","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.705211Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:08af17cb13d1b64857e9bf8e4e646393b01f194f74aea4c6338d57d564da7620","observation_id":"0d7600aa-d67a-4eff-b1c9-a95749dfa787","resolution":{"observed_at":"2026-08-08T23:23:39.112836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.100627Z","title":null,"venue":null,"work_id":"e6206f12-6947-44b5-870e-0cbce4d8f462","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.708210Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:7a72d1017dab5a2f4a1f28e4c0c1f6a2ebbf88c910865c549b6957d2b636bd1d","observation_id":"b1b98a2e-9f40-4a6b-af5a-1e22abce6276","resolution":{"observed_at":"2026-08-08T23:23:39.103523Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.091152Z","title":null,"venue":null,"work_id":"5107f906-8164-446d-bc04-cce6c7f87fb6","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.710823Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:7bfef68084fe5a92768cdcd7b41c35316a970735f0b3f2407a8c88079b2ff05c","observation_id":"bb794755-b9e1-4ff1-bcda-e8a768e08021","resolution":{"observed_at":"2026-08-08T23:23:39.094467Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.080974Z","title":null,"venue":null,"work_id":"dc40a1cb-4110-4aab-9fb5-dfce434fefc4","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.714610Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:1344690179374b6c74fac96998f7086e70cc2de258ac012d36c8d888b784ebea","observation_id":"2229807d-32e6-4211-b904-c961fd6f7fac","resolution":{"observed_at":"2026-08-08T23:23:39.084495Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.070566Z","title":"Notice that this amounts to having the variable associated to pre-selection verticesRe v uniformly distributed (for more details see the remark in section 2 of [FGV25])","venue":null,"work_id":"2cc3cd6d-15d7-45b4-b47f-a4dc7407a204","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.717968Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:9d5290fbc28f7a2b19fc1427edef1560df86a8f3628fc4499ac035df6922ce51","observation_id":"497ff8f0-9c0e-40fe-9ec6-90a333af9a59","resolution":{"observed_at":"2026-08-08T23:23:39.074298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.060542Z","title":"Hence, each outgoing edge from a vertexv∈Vs(Gc,tp) in G has been replaced with a uniform prior classical teleportation protocol (definition 6 in [FGV25])","venue":null,"work_id":"e8b9e3da-3ca3-4ab8-8aa1-9040a655641a","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.720844Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:8f50f881cf091f46302ccca257ccf394497c40869b2fbfe3b62880b83f033466","observation_id":"0cfa0832-fe07-4123-ae09-18d0df39ac69","resolution":{"observed_at":"2026-08-08T23:23:39.064183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.050645Z","title":"24By construction, these are also the same association of the original causal modelfCmG on G","venue":null,"work_id":"66377aec-69c0-4c17-aae3-b2e60b2c3a2d","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.724326Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:49e25cee0216266dd55a213e61fee29bfb664af51d7c4d069cacffaa2416c1a0","observation_id":"30cf1613-d9fc-4441-9278-bf96457bb18d","resolution":{"observed_at":"2026-08-08T23:23:39.053757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:39.010439Z","title":null,"venue":null,"work_id":"1fbea837-4968-4d9d-a30a-63222ee56852","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.727551Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:97ebed2d519f23e5a901dd3eff6ce2927772b9ebac52230b710d35d98a3b72ee","observation_id":"9e97dd79-8efc-4fc9-9b20-bc31c8b7b811","resolution":{"observed_at":"2026-08-08T23:23:39.033474Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:38.946208Z","title":"(177) Lemma 37 establishes that probabilities are preserved through mapping an acyclic functional model to an acyclic causal model through definition 36","venue":null,"work_id":"63c5b615-e3a8-4fe8-9a4b-fde893e4881a","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.730122Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:4fa487ef0e74776430dc56d078cbac7742f4b5d7d97fe7620c55ed4c3b22d521","observation_id":"310e88d2-8c62-4c7c-88c0-f89523731963","resolution":{"observed_at":"2026-08-08T23:23:38.973669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:38.840563Z","title":null,"venue":null,"work_id":"357ca8fc-ca8d-42a6-9997-415f3f14d0fe","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.733646Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:b8f0478699fd4460d28d3f7c0cc95664d114a5db25388fceb5f3e6fe9f768843","observation_id":"f3a92908-05d1-40c5-8064-c468c4adbc5e","resolution":{"observed_at":"2026-08-08T23:23:38.893528Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:38.791983Z","title":"In order to evaluate probabili- ties, the maps ofCmGtp are composed as described in definition 3","venue":null,"work_id":"ff7296a3-fc85-43ba-a482-d12c9fef1cb2","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.736831Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:fb360a0c1e804b08acafdd43e84de9adb9c9d970676766767e976123d4787ba0","observation_id":"3915240c-c4eb-4e56-a0c3-43ef478aa83c","resolution":{"observed_at":"2026-08-08T23:23:38.803522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:38.781910Z","title":"42= ˜Mv′ x′◦D (Rev,v′)◦ ˜σRe v (191) where˜denotes associations in CmGtp andD(Rev,v′) is a decohering channel","venue":null,"work_id":"37f4f24f-03bf-43a3-a7d6-d4f7e6058f1f","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.739550Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:7f5269969c5817739f507b396957bae9d0fd047c108ee01feeb98cd87f90e108","observation_id":"5ee0e136-9e3c-456e-acde-770acde0f291","resolution":{"observed_at":"2026-08-08T23:23:38.785454Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-08T23:23:38.769597Z","title":"D Proofs of section 4 Lemma 7(Acyclicity of teleportation graphs)","venue":null,"work_id":"da046311-5995-4d2c-b602-7b470f5e4671","year":null},"citing_paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-08T23:23:38.742822Z"},"links":{"citing_paper":"/paper/2502.04168"},"observation_digest":"sha256:b7646ac64fb40e48c8615ed20a5f8ff9b4f9a7b31a34589829a47136978eef14","observation_id":"073d380e-b4f3-47fe-a7ee-b10cf904ba39","resolution":{"observed_at":"2026-08-08T23:23:38.774898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.04168","last_updated":"2025-02-07T10:13:35Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-10T07:32:18.147233Z","submitted_at":"2025-02-06T15:51:15Z","title":"Cyclic quantum causal modelling with a graph separation theorem"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":0,"verified_fuzzy":11},"total_outbound_references":29},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 5 inbound Pith citation observations for arXiv:2502.04168."}