{"as_of":"2026-08-10T05:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:62679269a0cbe5436c18d0b9a69d9456b2a340c1db46deb1eb6abd143c763a55","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:17:31.293024Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T09:39:02.215161Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.11468","snapshot_observed_at":"2026-08-03T09:39:02.215161Z","title":"xuan Xu, Z","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.13493","last_updated":"2026-05-27T14:38:34Z","snapshot_observed_at":"2026-08-03T09:38:55.452074Z","submitted_at":"2026-01-20T01:06:42Z","title":"Infinite-Dimensional LQ Mean Field Games with Common Noise: Small and Arbitrary Finite Time Horizons","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T09:39:02.215161Z"},"links":{"cited_paper":"/paper/2506.11468","citing_paper":"/paper/2601.13493"},"observation_digest":"sha256:b1f2bf32023285dcebffaf9f8dff4552f0df7540331dbd476104b0f11609c26f","observation_id":"328b2e23-f766-4439-89fb-2df295e3462c","resolution":{"observed_at":"2026-08-03T09:39:02.215161Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.11468/citation-record","integrity":"/paper/2506.11468/integrity","json":"/paper/2506.11468/citation-record.json","paper":"/paper/2506.11468"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T04:17:34.973669Z","title":"Medvedev, The Nonlinear Heat Equation on W-Random Graphs, Archive for Rational Mechanics and Analysis, 212:781-803, 2014","venue":null,"work_id":"cd6604e1-e240-45b8-9616-bf2eb1a2ba40","year":2014},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:29.989045Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:b94ef49adfd888de4132702480d5edf3c1bd8044b85e1626dc2aba1136da62f3","observation_id":"66ba282b-87af-4c71-9528-49b571ef0d6a","resolution":{"observed_at":"2026-08-07T04:17:35.057545Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:34.772274Z","title":"Medvedev, The continuum limit of the Kuramoto model on sparse random graphs, Communications in Mathematical Sciences, 17(4):883-898, 2019","venue":null,"work_id":"ba4e11da-2373-4659-bf2e-905339988aa6","year":2019},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.084266Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:64af4b91a5e556bb5c9ad90fb991637950d443135fc1dc5cd0fba9a8d3c6f93b","observation_id":"f180a018-9d6e-486e-988c-549326b73994","resolution":{"observed_at":"2026-08-07T04:17:34.883930Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:34.545981Z","title":"Kaliuzhnyi-Verbovetskyi and G.S","venue":null,"work_id":"de7c87e7-d834-4cb8-99a1-e1140a4c3772","year":2022},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.122500Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:fc44f52ace4a27afea8c2bb345b0d1a53a15692385f30e12d4031bc892fc4d21","observation_id":"186e6d16-50b4-468e-9dc1-1e9daa552336","resolution":{"observed_at":"2026-08-07T04:17:34.645877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:34.314109Z","title":"Medvedev and G","venue":null,"work_id":"383ba893-05d3-405c-a3be-08720a741e8e","year":2023},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.224863Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:4630ade1f94c3a7ab258bd5e70589c525a4dd56b64adcf4cab6fc96c7758d9a0","observation_id":"6545becb-4409-411d-b2b7-85706d08eccf","resolution":{"observed_at":"2026-08-07T04:17:34.419103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:34.108074Z","title":"Sanjari, N","venue":null,"work_id":"82ecdb46-3c95-4f61-9247-242bd8ad60f0","year":2024},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.302069Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:f3f66e296b76fb271db120e608c3e46420c8db40eac68524267f5fd57fc19489","observation_id":"cf80cbd4-e52f-41f1-b96a-ce3d0e9d8fe9","resolution":{"observed_at":"2026-08-07T04:17:34.215107Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.11345","last_updated":"2025-02-08T17:59:43Z","snapshot_observed_at":"2026-08-03T03:19:56.535270Z","submitted_at":"2024-03-17T21:11:55Z","title":"Independent RL for Cooperative-Competitive Agents: A Mean-Field Perspective","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.11345","snapshot_observed_at":"2026-08-07T04:17:30.346967Z","title":"uz Zaman, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.346967Z"},"links":{"cited_paper":"/paper/2403.11345","citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:87796df8c4ed0d05268a3d175a9f0de96ad8e504b00c48e48222aae8259d7507","observation_id":"055f6279-92bf-431d-976d-10e4092b1be1","resolution":{"observed_at":"2026-08-07T04:17:30.346967Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T04:17:33.943366Z","title":"Carmona, K","venue":null,"work_id":"4385d0aa-7c14-4300-8dcf-18805bbc959e","year":2020},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.416406Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:9fb23b789c97488699f3bec604758685cc37575fe095bbb1e1911828c2b71a24","observation_id":"e2df061b-54a5-450a-8c50-b68df801dfda","resolution":{"observed_at":"2026-08-07T04:17:34.018327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:33.762030Z","title":"Coppini, A note on Fokker-Planck equations and graphons, Journal of Statistical Physics, 187(2):15, 2022","venue":null,"work_id":"214bb7ac-564e-4762-baad-482e4f936ff8","year":2022},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.501058Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:17769dac3a4f4898921799a4e1f11690762303e6795d10f4938a2b8fe4e9d3c7","observation_id":"bbfc7ef5-811b-483f-b762-7c80f5c151fd","resolution":{"observed_at":"2026-08-07T04:17:33.855405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:33.546112Z","title":"Fouque and Z","venue":null,"work_id":"81e1a1ff-b3ab-470e-9c6e-3074dee6855b","year":2018},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.546725Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:6fe0b72d9525d497b8772b48146a54874772e019f7e71584b8e43144da78edff","observation_id":"1e3b813e-d013-486c-851a-dbf7368c79eb","resolution":{"observed_at":"2026-08-07T04:17:33.684035Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.01012","last_updated":"2025-08-08T21:55:28Z","snapshot_observed_at":"2026-07-06T17:38:26.164353Z","submitted_at":"2024-03-01T22:21:43Z","title":"Hilbert Space-Valued LQ Mean Field Games: An Infinite-Dimensional Analysis","version":5},"cited_work":{"arxiv_id":"2403.01012","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.01012","snapshot_observed_at":"2026-08-07T04:17:31.820610Z","title":"Hilbert Space-Valued LQ Mean Field Games: An Infinite-Dimensional Analysis","venue":"math.OC","work_id":"5e632e12-c4a7-40ac-b3cb-14005443edfa","year":2024},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.667286Z"},"links":{"cited_paper":"/paper/2403.01012","citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:8014775c2a732f7e4709fcc8033649a98a2455c211790caaff3d8b5b895f32dd","observation_id":"71643789-140a-4d40-bfed-6e25ff4889f1","resolution":{"observed_at":"2026-08-07T04:17:31.910567Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.00637","last_updated":"2025-04-01T10:45:48Z","snapshot_observed_at":"2026-08-07T16:17:53.424273Z","submitted_at":"2025-04-01T10:45:48Z","title":"Linear Quadratic Nash Systems and Master Equations in Hilbert Spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.00637","snapshot_observed_at":"2026-08-07T04:17:30.701043Z","title":"Ghilli and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.701043Z"},"links":{"cited_paper":"/paper/2504.00637","citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:e246a9fd091770487effa962bac15301e04716701971dacc679ebf59dc0a1b08","observation_id":"7afac266-49cc-453e-a003-15c94aca1518","resolution":{"observed_at":"2026-08-07T04:17:30.701043Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.14604","last_updated":"2025-09-04T11:20:31Z","snapshot_observed_at":"2026-08-08T04:41:25.861821Z","submitted_at":"2024-11-21T22:08:22Z","title":"On Mean Field Games in Infinite Dimension","version":3},"cited_work":{"arxiv_id":"2411.14604","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.14604","snapshot_observed_at":"2026-08-07T04:17:31.551843Z","title":"On Mean Field Games in Infinite Dimension","venue":"math.AP","work_id":"808cb0be-5131-4f43-a010-21cc4bb1a4e5","year":2024},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.743936Z"},"links":{"cited_paper":"/paper/2411.14604","citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:472382656cf8b424a2e1f1d7974da343c19f2db626355bc4075fddeec3d82489","observation_id":"5a32d66a-8a4d-41fd-9f9f-a24d41af4693","resolution":{"observed_at":"2026-08-07T04:17:31.602101Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:33.405229Z","title":"Gao and P.E","venue":null,"work_id":"2cc50474-5855-41c7-9c17-cf023d439b13","year":2019},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.829406Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:9f95425811a73ac67f3c9cf7d326609b385767476f6f6ca52fc442a13c0acd88","observation_id":"e7ecff9e-1d34-4b08-ac91-14ee9ee215eb","resolution":{"observed_at":"2026-08-07T04:17:33.467163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:33.252234Z","title":"Gao and P.E","venue":null,"work_id":"86899cbc-935d-4e68-979a-20d65cae846e","year":2019},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.867236Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:3547661ae2fd7c7c03fabbaf61b6e979b251544d878ef664431537e689e64fa0","observation_id":"493271b0-c9e4-4a2e-8b88-8f98897c58c7","resolution":{"observed_at":"2026-08-07T04:17:33.321164Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.09030","last_updated":"2025-07-02T03:33:28Z","snapshot_observed_at":"2026-08-08T21:01:29.337875Z","submitted_at":"2024-01-17T07:55:52Z","title":"Linear-Quadratic Graphon Mean Field Games with Common Noise","version":4},"cited_work":{"arxiv_id":"2401.09030","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.09030","snapshot_observed_at":"2026-08-07T04:17:31.390690Z","title":"Linear-Quadratic Graphon Mean Field Games with Common Noise","venue":"math.OC","work_id":"4de9cdb6-4343-4a8e-8bb0-e7026b863467","year":2024},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:30.930030Z"},"links":{"cited_paper":"/paper/2401.09030","citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:5ebecd0a65b640fa312d1b34478222f34cebf99406a7a44092fe8cd69b95d064","observation_id":"bfc0abb5-7543-43e9-9344-517d999936fa","resolution":{"observed_at":"2026-08-07T04:17:31.452931Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:33.086680Z","title":"Lov´ asz, Large Networks and Graph Limits, vol","venue":null,"work_id":"cf4e31a9-769f-4a51-a1af-e26af116f005","year":2012},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:31.005043Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:d639d7c70c6b6e9ee14e07610139b4e4925c9e40458c1de6ad84a111c7dc5b0b","observation_id":"822580f2-d027-4dda-afbf-07ff593cbbd6","resolution":{"observed_at":"2026-08-07T04:17:33.150951Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:32.924404Z","title":"Ichikawa, Dynamic programming approach to stochastic evolution equations, SIAM Journal on Con- trol and Optimization, 17:152-174, 1979","venue":null,"work_id":"5bb0043c-ff24-4ad2-89e6-22b732aebd3a","year":1979},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:31.042855Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:d1176e3532d5a3b84b154ceadccf32ff8ed40acf6251bd8a073515a8f1a5d99a","observation_id":"b4a6af6e-07ef-4a0f-bca5-2ccf0d06a158","resolution":{"observed_at":"2026-08-07T04:17:32.983769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:32.635326Z","title":"Tikhonov, A.B","venue":null,"work_id":"8cefd744-5d05-4f6d-b3ab-50e8ff9f357c","year":1985},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:31.159942Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:5615deffd22303166deb22e0fa52d7ac2e409e89e8a788b76c28d716a3f2d819","observation_id":"c50f02c6-bc1c-4a89-81a5-6b21a1849b62","resolution":{"observed_at":"2026-08-07T04:17:32.817950Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:32.324497Z","title":"Guo, Nonlinear functional analysis, 2nd ed, (in Chinese), Ji’nan: Shandong Science and Technology Press, 2001","venue":null,"work_id":"03bedbd1-4c23-4570-adeb-eb908c11ec14","year":2001},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:31.202109Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:5bc70b6e630e618a69f5c59714897b05d32dff07db6439c4778c78577ecd9c16","observation_id":"c42f6dad-b71b-42a8-bc6f-736a5fde5873","resolution":{"observed_at":"2026-08-07T04:17:32.487575Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T04:17:32.085915Z","title":"Bensoussan, G","venue":null,"work_id":"92c41a37-7fe0-4c69-a15d-e3f2df76ffda","year":1993},"citing_paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T04:17:31.293024Z"},"links":{"citing_paper":"/paper/2506.11468"},"observation_digest":"sha256:9af5b388efdbfad139f62224baea77ab70880c530b4202c724d491154a1767af","observation_id":"83d82f1f-3f52-4663-b60d-f8371b9defcd","resolution":{"observed_at":"2026-08-07T04:17:32.162885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.11468","last_updated":"2025-06-13T05:00:40Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-08T20:45:33.225869Z","submitted_at":"2025-06-13T05:00:40Z","title":"Linear-quadratic stochastic nonzero-sum differential games between graphon teams"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":3,"verified_fuzzy":15},"total_outbound_references":20},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2506.11468."}