{"as_of":"2026-08-20T16:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8f6de73a9e2dc97db152ed8bf83a47c690aa0057a3dbe3ba8ece9e9c2aebf27d","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T10:20:38.083220Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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/2412.16748/citation-record","integrity":"/paper/2412.16748/integrity","json":"/paper/2412.16748/citation-record.json","paper":"/paper/2412.16748"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:20:38.405304Z","title":"Guidelines: • The answer NA means that the abstract and introduction do not include the claims made in the paper","venue":null,"work_id":"63f6395e-70cc-4b67-bd88-6ee61cfd268b","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:37.975116Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:d2adcf8c6c6c7fd4e998ecf32223d7320e914fa6e4427c552aa531f615f9d8e7","observation_id":"f1fe8706-076b-4561-969f-9356cf43b4ba","resolution":{"observed_at":"2026-08-11T10:20:38.408957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.394927Z","title":null,"venue":null,"work_id":"e898f90b-9ca5-4baa-ad7e-d1d513c48cd3","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:37.980346Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:ced721e31f20f38f21b7a60c78e3989df5d9e104e7e06e4b33f90e4b9d6dc84a","observation_id":"3a069829-fe3a-40b3-9550-64d9f2abcf6c","resolution":{"observed_at":"2026-08-11T10:20:38.398328Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.385375Z","title":null,"venue":null,"work_id":"887ade4d-5a48-4114-a691-ba97bd9892e1","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:37.984383Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:9811d532e993d77b6a5324e8f35abf03bc0fc34ff0278cf8e5f6b0c7a312de33","observation_id":"1bed6d34-9948-4735-b278-b993417379d3","resolution":{"observed_at":"2026-08-11T10:20:38.388714Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.375718Z","title":null,"venue":null,"work_id":"6b89564b-93b0-4aab-8d92-9b0491babbf6","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:37.988452Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:0c9ca83106eae4fab69a4f78d95615982be711e62255c29c452e839ecdba6e15","observation_id":"c4663246-2855-4164-8c58-4f00d53e685b","resolution":{"observed_at":"2026-08-11T10:20:38.379126Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.364656Z","title":"The authors will release code upon acceptance","venue":null,"work_id":"6b43421a-536e-4013-bf5c-13c66dbfc4b5","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:37.992569Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:a8f510050b0c2b98dba0eb15fa3db02efea2610a64f79edcbb813dba3dd2a159","observation_id":"78b31413-11ca-43fe-87cc-52e1c20de64c","resolution":{"observed_at":"2026-08-11T10:20:38.368433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.354628Z","title":null,"venue":null,"work_id":"f4458688-6dd0-4a06-9a8d-cabd1b4f9fc2","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:37.996772Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:0a7242cf2e045cd6a232d3de4d6646a2ab0aac83aa931d0f392dcf8f1a4d4107","observation_id":"c421cb6f-354a-434c-b9af-e2d1971ca563","resolution":{"observed_at":"2026-08-11T10:20:38.358022Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.343984Z","title":null,"venue":null,"work_id":"76234426-9592-47c6-b9df-6e4af7777787","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.001347Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:a945b10bb72174c0d26356c274984a2dcbd4b626ceb7b454a5d61147caa71f68","observation_id":"253fae16-6deb-4108-9a1f-797fc99c542b","resolution":{"observed_at":"2026-08-11T10:20:38.347918Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.333684Z","title":null,"venue":null,"work_id":"c28a8094-aaa1-454b-bd56-33e06cb2389a","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.005760Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:ec012fb98c3e44481caee5a5dc79d5f7a2615ef75d5f3d638b199a90c51adcb7","observation_id":"9b937aaf-fb5f-4ff2-84e2-827a526a21b3","resolution":{"observed_at":"2026-08-11T10:20:38.337283Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.323964Z","title":null,"venue":null,"work_id":"94d63e54-de2a-4c06-80c6-6804eeebb23d","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.009457Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:0bb6f8c30a38fb667f96b8b05b41879ed166c68342ef2cd31364a109f5c9eba0","observation_id":"4a39ca0f-3946-474a-8723-d79b612370ae","resolution":{"observed_at":"2026-08-11T10:20:38.327277Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.313710Z","title":null,"venue":null,"work_id":"d44593d8-842b-4dde-982d-fba1e262a07a","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.013291Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:0a31667de07f78b7b1528c24389ebc6d9b48ad85165eef515d3972ce6a1bf07c","observation_id":"10af3380-b143-4124-ab43-9b44963fddaf","resolution":{"observed_at":"2026-08-11T10:20:38.317085Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.303255Z","title":null,"venue":null,"work_id":"fc5f67bd-07f3-49ee-9ee6-7161fe385a6e","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.017140Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:957f335b3efc4f0c89d431cd4528562ad8efd363b6c08da53a54af02b652573b","observation_id":"5e43acf9-ca4a-4ecc-87c1-7b38aded9500","resolution":{"observed_at":"2026-08-11T10:20:38.306810Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.293070Z","title":null,"venue":null,"work_id":"9ea635f1-b2fc-4a09-b22b-f2ff8294cc9c","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.020987Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:2276e27d2ced6dffc68b948218bd08b3ffd4e6b8cbcf302f79b016d15d852185","observation_id":"ba1fe108-d8a3-4677-9478-14a4e36c2b00","resolution":{"observed_at":"2026-08-11T10:20:38.296557Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.282564Z","title":null,"venue":null,"work_id":"44f62732-a4e5-4990-80c9-b5451881e66e","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.024931Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:fa788a149ca4a078eb2aee14d77ca20b301d8b8b11e256a720340a406ebbe3c2","observation_id":"1cb87e02-7fb3-48e9-90cb-6c56288dc961","resolution":{"observed_at":"2026-08-11T10:20:38.285822Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.272119Z","title":null,"venue":null,"work_id":"0cbeaf38-79d7-4f1d-bab1-1aa36685747e","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.028963Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:5c537f0c3d51357e63ec86c0b9c39a9669da946ce2f6b4746be10d9ae3948bf6","observation_id":"d04b0b5a-48f9-41d6-a7ba-fbe2cdc54609","resolution":{"observed_at":"2026-08-11T10:20:38.275693Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.261240Z","title":null,"venue":null,"work_id":"373d328d-8f12-41f4-b988-03bf4fe993e8","year":1968},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.032845Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:d8a47fe77de908909e83ecf925a3b26449d127ee8fe74daa8e3c9c3013563114","observation_id":"c392310b-cfc6-4a51-915e-86510cc6eef0","resolution":{"observed_at":"2026-08-11T10:20:38.265010Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.251873Z","title":null,"venue":null,"work_id":"0d2fc23e-a4fe-40ea-a417-7fbb70f50342","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.037491Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:7de099eaf11639596235f0fd76f84306a41640e27c6e228ffdf6f0c0cc8c691f","observation_id":"bae0a7cd-c9e8-4316-9ea7-041c84b37a66","resolution":{"observed_at":"2026-08-11T10:20:38.254843Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.242118Z","title":"(35) that V (x0, 0) = ℓ(x0) we can obtain expressions for Vx and Vxx evaluated at ¯x0","venue":null,"work_id":"054ac84b-a9a6-4205-a2aa-e53e1c7ecb7b","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.041418Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:a84de6534b2bbdd114753e23a248eeb115d6259d597a77a55dda1c3a8fb5b994","observation_id":"6b489bf2-30a1-4ebb-ac4b-7ac24c6ae05b","resolution":{"observed_at":"2026-08-11T10:20:38.245484Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.231692Z","title":"(39)-(44) using {¯ut}1 t=T and {¯xt}1 t=T","venue":null,"work_id":"7e1cdc69-445a-4df8-a3c9-0bee43945c4c","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.045388Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:0ad97670b580e02fde6236b51620ad118193d38d16010bd4eeeef8639643da34","observation_id":"5e7232f7-9028-4d3a-87fd-b703e872e099","resolution":{"observed_at":"2026-08-11T10:20:38.235050Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.221176Z","title":null,"venue":null,"work_id":"1b6fba21-96d0-426d-a63d-413a13023a32","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.049149Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:3ebdc8bd3a47d4d528dc4f95ad467b5bb120153af1a82889f80e995e4048eb8e","observation_id":"08f69a4c-574e-4444-afd3-2f16783b1d01","resolution":{"observed_at":"2026-08-11T10:20:38.224702Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.210164Z","title":null,"venue":null,"work_id":"12a75c8f-5d21-44fa-ba82-9f7104e52f53","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.052938Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:a9ed0e927817a8551fb24ff6e70eba01ff3187d4697f6c1b99447cef66f26577","observation_id":"e945aeee-2162-43d2-baec-695a179cfe02","resolution":{"observed_at":"2026-08-11T10:20:38.214182Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.199307Z","title":null,"venue":null,"work_id":"f50ca9e1-4561-4eaa-a699-4981f52da0fd","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.056456Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:3a10a53db9dd07e4e84b0573ef4167534b243785cfa55411d63a2d64ef9cae7b","observation_id":"b3a5bdc5-4618-474f-9944-1b0e3f775106","resolution":{"observed_at":"2026-08-11T10:20:38.203001Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.188201Z","title":null,"venue":null,"work_id":"1bba6ffd-dcd7-48c7-bfe2-a24a2c94d670","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.060493Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:ceaf191f3198befb1977d198261269f78c83590801aad6ac3ed3e8164001fc8c","observation_id":"c730d565-d345-490a-bf7c-aada9680877c","resolution":{"observed_at":"2026-08-11T10:20:38.191807Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.176388Z","title":"17 C Proofs Theorem 4.1","venue":null,"work_id":"5426efda-4a9d-4248-86a4-93e5e80bf10c","year":2017},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.063888Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:a05f36518c5fec3c0abdc499ec8a9de0eadf5a1448bb51b522141338bed43c29","observation_id":"16b2d7ed-ed1a-4463-9389-759888e55403","resolution":{"observed_at":"2026-08-11T10:20:38.180757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.163753Z","title":"2) We obtain AΩ = Y ∈ Rm×k","venue":null,"work_id":"5b505a2e-6954-4f39-96bb-127bf4c0f0b8","year":2011},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.068125Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:fca5c37e0ddac5ecfe3c6665de6c2824b307d012db2f805e7eb04e2fd3bb5543","observation_id":"232e23f5-deb9-4efd-bc49-af72d5bebe03","resolution":{"observed_at":"2026-08-11T10:20:38.167956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.137985Z","title":null,"venue":null,"work_id":"55969217-0729-4014-b72f-a5da9c4db8ed","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.076073Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:83349680f97177876e9c117425184709ca63055ba7e2be40c3cfa38134d0160a","observation_id":"3de84f86-2ffb-4f1f-8b23-f3f8516bf948","resolution":{"observed_at":"2026-08-11T10:20:38.142054Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.126220Z","title":null,"venue":null,"work_id":"3cce10b6-3308-4406-aa3a-6671d2563fe2","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.079555Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:8365fb028819b490ebb391203cac4e89ba57fd31c9916ac35608b6f57e6d233e","observation_id":"e1563a86-a61c-4a4d-a133-a27422123f99","resolution":{"observed_at":"2026-08-11T10:20:38.129952Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.111330Z","title":"Tikhonov Regularizer Table 5 demonstrates that our algorithm is relatively robust to the Tikhonov regularization parameter, except when α = 0","venue":null,"work_id":"f4cfe4c0-271c-47e1-b5ea-0ac8fa63d389","year":null},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.083220Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:9b4853d46a263835388572863f7dc204a3c6065b4bb1f564bbb104bd4282ed27","observation_id":"68e7d19f-7153-468b-a51b-4b156ba25d8c","resolution":{"observed_at":"2026-08-11T10:20:38.118147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:20:38.150689Z","title":"[2014], resulting in the action update ut = Pkt + Kt(xt − x′ t), (80) where P is the preconditioning matrix produced by the Adam optimizer","venue":null,"work_id":"7494607c-cb1d-4ade-b19f-f1b8ccf31cde","year":2014},"citing_paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-11T10:20:38.071948Z"},"links":{"citing_paper":"/paper/2412.16748"},"observation_digest":"sha256:4df027416440585daa444ca4cb948ec6020627b40c0a17055e980d906806cb19","observation_id":"ed567e59-ab0e-4eaf-8a5a-4ff7d370f766","resolution":{"observed_at":"2026-08-11T10:20:38.155421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.16748","last_updated":"2024-12-21T19:47:06Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-13T00:09:05.693809Z","submitted_at":"2024-12-21T19:47:06Z","title":"Solving Inverse Problems via Diffusion Optimal Control"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":0,"verified_fuzzy":8},"total_outbound_references":28},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2412.16748."}