{"as_of":"2026-08-08T04:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9f5cf7ca995f8c619bf92b3e0aaa58594c262f86a051251732ab049638b88ce9","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:00:39.944580Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2506.01279/citation-record","integrity":"/paper/2506.01279/integrity","json":"/paper/2506.01279/citation-record.json","paper":"/paper/2506.01279"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:00:45.361631Z","title":"Ambrosio, N","venue":null,"work_id":"5a2e1154-ae09-4eba-9013-cac78dccf9d4","year":2005},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:37.786403Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:e45a8156fa1d831ae66d953caa63ffce21de242c25ce0dbe72d4c990f3fb9a83","observation_id":"c7ed2551-45a7-44d2-b802-4089112902f3","resolution":{"observed_at":"2026-08-07T12:00:45.426256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:45.182292Z","title":null,"venue":null,"work_id":"41ad92c0-f840-4ca4-bc9c-b3202232cb27","year":1980},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:37.866422Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:fda484bcda58a32fd9d681e65bb5adca378823011534cb0f54ae35667018bdcf","observation_id":"58e2aa1b-85ca-41a5-befe-2666bc1134cf","resolution":{"observed_at":"2026-08-07T12:00:45.270923Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:45.028739Z","title":"Benamou, Y","venue":null,"work_id":"06ff981b-e301-47fe-b531-08d3b6fb0f81","year":2000},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:37.924833Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:bd5b653cbfa16be69be3cf2185b07a435e53b00c0af356c3132dc812c00f995b","observation_id":"9a0c5d68-6a3d-4d70-a3d3-997eed9d2a4a","resolution":{"observed_at":"2026-08-07T12:00:45.097330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:44.849961Z","title":null,"venue":null,"work_id":"e836f09f-e057-4c8c-8b1c-586fdd512095","year":2012},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.030686Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:b432a8eddb42be98fca786481800230143508c676799e8d0c7ff8bf10347c97c","observation_id":"4b441604-ced6-456c-93e1-480ee441d443","resolution":{"observed_at":"2026-08-07T12:00:44.933772Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:44.654162Z","title":null,"venue":null,"work_id":"b2c4bca8-c6ae-4195-aaca-31a287a192d9","year":2010},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.103522Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:ea95d108c74435c7e087e72c1b638284777255e65c557842b10b085acbff8801","observation_id":"a5a1f06b-2d0a-498d-81ae-ed735928a40a","resolution":{"observed_at":"2026-08-07T12:00:44.749208Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:44.467708Z","title":"Erbar, K","venue":null,"work_id":"44714057-2e3e-406b-8534-e18a61d2a5ca","year":2015},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.174731Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:c6df3436e870eb1b9a839b054168c9ffc53fe5b6e52f6239851e2cd72ebfe370","observation_id":"b90893ed-30dd-4efb-a985-fc7ea0c3e259","resolution":{"observed_at":"2026-08-07T12:00:44.556152Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:44.335962Z","title":"Jordan, D","venue":null,"work_id":"0f2a2ea2-a305-460d-9ea8-e963e912bda1","year":1998},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.280252Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:afed0058c9ffa9844f3d371286cdd24124e5d13005bab5bda39fdc923ebe6152","observation_id":"91642a7b-68f1-4bf0-b2df-1b43d6f17f66","resolution":{"observed_at":"2026-08-07T12:00:44.399884Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:44.122075Z","title":"Kantorovich, On the translocation of masses","venue":null,"work_id":"aeec7501-7727-484f-acfa-885f78d7fcc7","year":1942},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.344989Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:a1054cde17c5c6da83ff7e59740ff0521d2cbb49c74dac1b57e8385085eed005","observation_id":"a8d57fe7-7495-4411-bf36-7ba60b61e48a","resolution":{"observed_at":"2026-08-07T12:00:44.257228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:43.948029Z","title":"Kantorovich, G","venue":null,"work_id":"ed4493dc-feba-484e-8748-f2defbbfae78","year":1958},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.440180Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:ae7b1ac0c6aa106678305809e261c115459d20fba81636fb591c89f2ca897186","observation_id":"c33c00ed-9400-42b4-9224-bae28b95f1b9","resolution":{"observed_at":"2026-08-07T12:00:44.040058Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:43.754939Z","title":"Kotschwar, L","venue":null,"work_id":"1b27f13e-2374-4110-a5b0-30fdc0411f14","year":2009},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.509456Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:d01055e1d261b0c750eb3aae8a365e21ff57a9e92a4a8370e75fd783bd92aec5","observation_id":"8c683789-5c6e-4da3-9f46-a88c031ecca0","resolution":{"observed_at":"2026-08-07T12:00:43.852260Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:43.561211Z","title":null,"venue":null,"work_id":"8e333b5b-af2e-4527-8f4e-6f864bd95a14","year":1975},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.593080Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:b62478d6c2b21a4b5ac8723ecc8f0d23b34c1add923436f7fdd3adcc22d09a5a","observation_id":"2d51d3b0-7d69-4915-bf35-aa2c132ccd99","resolution":{"observed_at":"2026-08-07T12:00:43.682645Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.20369","last_updated":"2024-10-27T08:06:57Z","snapshot_observed_at":"2026-07-06T19:40:17.497219Z","submitted_at":"2024-10-27T08:06:57Z","title":"Langevin deformation for R\\'enyi entropy on Wasserstein space over Riemannian manifolds","version":1},"cited_work":{"arxiv_id":"2410.20369","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.20369","snapshot_observed_at":"2026-08-07T12:00:40.038821Z","title":"Langevin deformation for R\\'enyi entropy on Wasserstein space over Riemannian manifolds","venue":"math.PR","work_id":"7e2f4219-2bfb-44db-9ccb-32fcc67f4275","year":2024},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.668518Z"},"links":{"cited_paper":"/paper/2410.20369","citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:e562b66945ac451bda91b0c493d7e32887492eedb57eb4bfcfdada88abe4a45d","observation_id":"8e052f9f-9873-4af8-b30b-1b7b63a74536","resolution":{"observed_at":"2026-08-07T12:00:40.101688Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:43.282555Z","title":"Li, X.-D","venue":null,"work_id":"2aec0579-98e8-483f-87ca-8ae2805a7af3","year":2018},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.738201Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:387fb7a70c8c1b02f281582c74b4db7bb392c46159e16d727d9d8fec5a0818f3","observation_id":"63e65140-0215-4492-a5bb-52a93e2eb36c","resolution":{"observed_at":"2026-08-07T12:00:43.399706Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:42.987021Z","title":"Li, X.-D","venue":null,"work_id":"6037a28d-54cb-4e61-9b03-9447b3e223a4","year":2024},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.834276Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:40c9a2fa680391670d64116e4ede4f10b23f5909925ccff57e324e0d35c1ccb8","observation_id":"75dea4e2-4c75-4658-b1ea-7459fc4d843e","resolution":{"observed_at":"2026-08-07T12:00:43.108660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:42.748428Z","title":null,"venue":null,"work_id":"eaf56ad8-4cab-484b-850c-0f4eb4e92c34","year":2012},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:38.928890Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:efe9398d661793a0f91ecf1263e3269f9e7b5a592356202372f92aaee3bf6bff","observation_id":"b87ae73e-93fb-44b2-a3ca-9fbc340170dd","resolution":{"observed_at":"2026-08-07T12:00:42.868591Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:42.526849Z","title":null,"venue":null,"work_id":"0bf18bd7-e778-4498-aea6-0dab34a55811","year":2009},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.014924Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:3728c3b95d6e86d9bb96636ae38d86b562ad1da421f252f06264444bb390a325","observation_id":"1f2b0161-71e2-41a6-a337-627276505839","resolution":{"observed_at":"2026-08-07T12:00:42.609272Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:42.305272Z","title":null,"venue":null,"work_id":"2c696243-289c-48fa-8586-88412abc6c04","year":2009},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.116343Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:3ce6b2df3aa74768e641c5f0d779f689aca947a9a7d68aedda56fb21689f6056","observation_id":"fdb29f89-3cad-4d47-80c7-066e16d3d6ac","resolution":{"observed_at":"2026-08-07T12:00:42.441364Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:42.097595Z","title":null,"venue":null,"work_id":"3fb80a3e-88a4-486e-904b-650711af23d2","year":2001},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.190420Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:efafdbc3367576797be6cd90a019a4843360862d50d47ed5839429ddc5de6488","observation_id":"36dfff6e-a215-4149-a058-a16240aae305","resolution":{"observed_at":"2026-08-07T12:00:42.215932Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:41.875549Z","title":null,"venue":null,"work_id":"2d45b148-e80b-423b-aa96-c530a10423df","year":null},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.273273Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:d734eb0e73ac50dd92e87da47ef404d35ad95cc58f00b766a6b68f2160157668","observation_id":"d8868d4e-89fa-4224-8f82-5f2cf3bcffb5","resolution":{"observed_at":"2026-08-07T12:00:41.965552Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:41.635544Z","title":null,"venue":null,"work_id":"e7dbfe46-f1c6-43e6-9c96-ad25f7880221","year":2004},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.430974Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:091cf29ab41e4b45674d981797fc1158ea6f05cde5469d6197aa4013d2e4f175","observation_id":"1c2b658c-a1e4-46d4-8a24-563daa90fa86","resolution":{"observed_at":"2026-08-07T12:00:41.769662Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:41.463400Z","title":null,"venue":null,"work_id":"9907896d-cd82-4076-85f2-2e87e3844619","year":2001},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.496540Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:a78ee74e2c3916f4e3785eed7b2b5e411043baa45e8c0a3b9dcb37fa802b0eb2","observation_id":"cfa15cf4-b17c-4f56-a9a8-5fc213d67dae","resolution":{"observed_at":"2026-08-07T12:00:41.529556Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:41.244980Z","title":null,"venue":null,"work_id":"8f74f94f-8335-442b-98c0-b1efe97ddbc0","year":2000},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.578203Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:c6c8189ffbc5e7a6f8c4d767bb65a76c6c6f7682bec2893005ff76e38491f4d2","observation_id":"151e311a-695b-45fb-9ea3-33bff33a2359","resolution":{"observed_at":"2026-08-07T12:00:41.358579Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:41.059357Z","title":"Perelman","venue":null,"work_id":"eac068e8-cdf6-4582-950f-a395f2449afd","year":null},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.634848Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:0742ce7dd63fe0afaa6f11d3f1fe7da5933e189bf6138cd562a53bd9ee89e81a","observation_id":"9aa97119-6ffe-4ad4-84d6-63df45843b30","resolution":{"observed_at":"2026-08-07T12:00:41.135854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:40.894845Z","title":"Sideris, B","venue":null,"work_id":"15a337d9-9ccd-43c4-b380-ea84524af27f","year":2003},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.683935Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:210e7af6b056d7757ccd3e45ec487350447cf4618f44a92c0668994ca0dec821","observation_id":"fc4138eb-22f8-4dc0-940d-cbb7efa076b8","resolution":{"observed_at":"2026-08-07T12:00:40.979674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:40.717053Z","title":"von Renesse, K.-T","venue":null,"work_id":"9723248c-2cda-4434-b798-2d57d97c4399","year":2005},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.736598Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:082ee00d1b8fbed7b2650061177330e2fc833c84f1836a3043eefea1502c24fe","observation_id":"4adb0875-4717-4a6d-9f7c-af4cfa7b3152","resolution":{"observed_at":"2026-08-07T12:00:40.798466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:40.560596Z","title":null,"venue":null,"work_id":"92bd2a57-8863-4f07-a226-c5fb5de6f3bb","year":2006},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.791648Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:1bb9f9f4c79cc5f149b5c7768d9b5609d5abbbf406abe583580039b3258dec81","observation_id":"187b6af7-196b-40f7-be59-8db8ac02663f","resolution":{"observed_at":"2026-08-07T12:00:40.628724Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:40.421670Z","title":null,"venue":null,"work_id":"09a1ee10-1341-4244-81c7-a7b9f76c6c9a","year":2003},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.858738Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:9dd5cc39c18a9b29563c812b59b1a28d2d0b559fe9b5c15aefe91c4394f3f82f","observation_id":"89885e2b-2017-4acd-8212-707424b2055f","resolution":{"observed_at":"2026-08-07T12:00:40.480115Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:40.317186Z","title":null,"venue":null,"work_id":"d4e09375-8172-4624-96a6-60007475329f","year":2009},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.903968Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:d7fe585b4e83582bb970eddb846e0cf174e7f7d280f657e1eda4244fa44e9b9e","observation_id":"4a3c8645-db6c-4ad7-adf8-cfd94ca102ad","resolution":{"observed_at":"2026-08-07T12:00:40.369215Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:00:40.160558Z","title":null,"venue":null,"work_id":"9d5affcc-a658-45af-a755-6f71e1769446","year":2001},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.944580Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:90d226f686e7ec56d717c6c49365efc65e7cf9ee9218230ded188b8b1c5f7652","observation_id":"d55f99f1-a317-4b85-96cf-248c4f64ffca","resolution":{"observed_at":"2026-08-07T12:00:40.242934Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:00:39.367320Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T12:00:39.367320Z"},"links":{"citing_paper":"/paper/2506.01279"},"observation_digest":"sha256:53c02a4a6185d243cddd822fd49dc6eb23daa4db0c4aa74530e9471fb3383f7e","observation_id":"ceb6f85a-92a0-41bb-a211-2fe21636aebd","resolution":{"observed_at":"2026-08-07T12:00:39.367320Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.01279","last_updated":"2025-06-23T04:15:30Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-07T11:42:55.611755Z","submitted_at":"2025-06-02T03:21:36Z","title":"$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":1,"verified_fuzzy":12},"total_outbound_references":30},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.01279."}