{"as_of":"2026-08-21T15:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fcb4b216bbff9146d89ef59059dbe2b252c764435718c4468f090cb7a44f5e40","coverage":[{"denominator":55,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":55,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T18:55:15.173537Z","state":"measured"},{"denominator":55,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":55,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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/2508.13856/citation-record","integrity":"/paper/2508.13856/integrity","json":"/paper/2508.13856/citation-record.json","paper":"/paper/2508.13856"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:55:15.784038Z","title":"The transfer matrix of cascaded BSs forming a cavity is simply the product of individual matrices [5], unlike the Red- heffer star product for scattering matrices","venue":null,"work_id":"f3d093b6-c8ae-4ebe-85c1-a9de636b1b5f","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.016987Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:baaa83dc2c82c36f3316180ce6a475ef5ffe65b078d15fc1f9f5fc48cb2ccef2","observation_id":"f0e657bc-2728-4c59-a44a-95ec27fa86fb","resolution":{"observed_at":"2026-08-05T18:55:15.787452Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.775287Z","title":"Such an operation can be described by a symplectic matrixFwhich determines the Bogoliubov trans- formation to the creation and annihilation operators","venue":null,"work_id":"4593e860-9612-4720-9961-36b496686924","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.021009Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:2d1a4ad9b98aad0b90e6fe6203823da59e3e4fcd41b25d17fd94c69421084160","observation_id":"d8a5186d-0824-4696-8e7c-a65825074ea1","resolution":{"observed_at":"2026-08-05T18:55:15.778184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.767046Z","title":"This method cannot determineargC U","venue":null,"work_id":"c880a8c8-62b1-4ff6-90cd-7cb7815c7ff2","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.024417Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:ccf4a37a6286a98462d5d8ab635e1b364f514e712b11a951d0a1882e2e303c6c","observation_id":"438d25c9-8061-4c80-89f8-8603b30bfb59","resolution":{"observed_at":"2026-08-05T18:55:15.769890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.757975Z","title":"One can find thatT ii =T ∗ ss andT is =T ∗ si [50]","venue":null,"work_id":"ce268a2e-7d32-4fe4-a494-1f3ebcb52739","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.028072Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:dbd1a795404118580e9b1034aa21ffd6bc7f703f418f76ba6fc7e8a20033aff0","observation_id":"99eafaf6-37ac-4d54-8401-5a7fdde1b61f","resolution":{"observed_at":"2026-08-05T18:55:15.761003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.749461Z","title":"Dell’Anno, S","venue":null,"work_id":"efaf7f52-4067-4822-ba22-0980d336c918","year":2006},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.041070Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:485f0ac8e420960007cf9a7e2f010959d3495421c8350bc9f7c8b5f1d778fd1c","observation_id":"8cd7314c-b2ef-435e-8328-c40946e770b3","resolution":{"observed_at":"2026-08-05T18:55:15.752314Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.043846Z","title":"Fabre and N","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.043846Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:8e8be209c12b84a506690ff97d178e34272842728347b7ebe95a353db1b874e4","observation_id":"a2a817e3-b1c7-46b7-8226-775235a2189e","resolution":{"observed_at":"2026-08-05T18:55:15.043846Z","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":"2026-08-05T18:55:15.735086Z","title":"Quesada, L","venue":null,"work_id":"52c1748d-8e26-4963-8cee-66855cef61b5","year":2022},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.047314Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:f48b3493ba4cfae53ac1de518b359e8ea2a3545b39384cf53dcc6e5a648ef38b","observation_id":"fa61aca6-3dc0-4f02-9c47-1b80da4aabea","resolution":{"observed_at":"2026-08-05T18:55:15.737985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.726872Z","title":"Zhang, C","venue":null,"work_id":"85d06ba4-1e36-4d4d-8439-791a13bfcc34","year":2024},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.050085Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:86f62ef87fc8456a5e17e118a323b05537894e662dfc53678ddea3a5ed498052","observation_id":"f1624369-d623-4771-b13a-9c2758ac707b","resolution":{"observed_at":"2026-08-05T18:55:15.729624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.718028Z","title":null,"venue":null,"work_id":"a9dfe1f6-a10d-4702-a529-28a5784397dd","year":2025},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.052752Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:feef7b6641ff0183716d725a1a92593eb86bc08509d900a8763ee0a9d871a945","observation_id":"59c24567-5133-4012-a8af-e1daadb91d38","resolution":{"observed_at":"2026-08-05T18:55:15.721172Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.709583Z","title":null,"venue":null,"work_id":"5c5efa9a-65bc-4744-ab1f-332d5583e826","year":2016},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.055476Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:c6ee54d8c0523b0aeba683e5bc77ad301c7e6cc864e3a45eb7ea1debd14486c3","observation_id":"9fce2e0e-e2f9-475e-b676-9e03504347d1","resolution":{"observed_at":"2026-08-05T18:55:15.712430Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.701373Z","title":"Jin, Z.-Q","venue":null,"work_id":"3147de7d-f934-49de-8269-8d6dab00d2cf","year":2024},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.058306Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:93bc11d3394ed5b5680acf7caeed3211d74e1161a730431186a7d401c1711e2c","observation_id":"60eef260-3a15-4a3e-ab13-07c7d6b2c98e","resolution":{"observed_at":"2026-08-05T18:55:15.704027Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.692478Z","title":null,"venue":null,"work_id":"7198c4a8-015a-4c28-bc77-bfd7f05a11f8","year":2044},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.060943Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:6e5ee8c0ca5e9c4781c225dfbe463fdd683090bcb182a93ce5f308a9ac515fa2","observation_id":"479c8fa2-6904-4747-a0b2-a9ae3fc110ef","resolution":{"observed_at":"2026-08-05T18:55:15.695663Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.683919Z","title":"Bouchard, A","venue":null,"work_id":"b5504e64-8940-498a-80ca-a527e1633c0b","year":2020},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.063569Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:d4f28cf91bf51add7d05aadbe9762c25534feb01129f45c684fc1f9f37093e7e","observation_id":"10047720-e1ee-46bb-9704-0233baacd6d0","resolution":{"observed_at":"2026-08-05T18:55:15.686657Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.675907Z","title":null,"venue":null,"work_id":"2d34d2fd-30a4-4bde-a116-f19734af4128","year":2021},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.065978Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:5725dd6139c1c96717255abd5a7323f35f5662c5b4d201271e32830e6e94d027","observation_id":"b24acf2f-34e0-4b5a-9dd0-801a35f144a5","resolution":{"observed_at":"2026-08-05T18:55:15.678558Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.667059Z","title":null,"venue":null,"work_id":"b948c4ca-e20c-4f26-b5e2-26a3f39ee2ea","year":2013},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.068725Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:9f67e6833fa94048c7b3cabb634866b991d6c0e1439e476fb7cca47a7b56a3f6","observation_id":"1c92ebcb-63b4-4421-b07c-509a4eae692b","resolution":{"observed_at":"2026-08-05T18:55:15.669867Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.659029Z","title":"Tillmann, B","venue":null,"work_id":"82259530-b0dd-475d-8944-7a8a78dc61a5","year":2013},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.071521Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:4ac592faf84cb5b99330abd41e051e4de1b2a3510248d2fd8f7087353524b157","observation_id":"b03177f1-8af6-4e66-afbf-99395b0c6add","resolution":{"observed_at":"2026-08-05T18:55:15.661724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.649936Z","title":null,"venue":null,"work_id":"dd9ff97b-85eb-402c-9b26-4aa04bed09fe","year":2014},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.074070Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:30ff142eab4473301f2dcd1936227401e6af370a610df010eb17dd1d8de90283","observation_id":"6b38f037-62a5-4f04-8141-12533c31312e","resolution":{"observed_at":"2026-08-05T18:55:15.653044Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.076409Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.076409Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:4d02265ffa65fefad63fd8a54c4bd7ed2fd98e45216c01c33f149f183ab73c35","observation_id":"e5f27916-da5c-46b0-bdc0-b34df54766bf","resolution":{"observed_at":"2026-08-05T18:55:15.076409Z","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":"2026-08-05T18:55:15.636401Z","title":"Kruse, C","venue":null,"work_id":"99f2f1d8-ffa2-43f2-8963-dfec3890ce24","year":2019},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.078995Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:9d8aba825ce7df21c3ab5776bb893392f8d207c3ab78b76e49d5c89cdd087b80","observation_id":"7f224011-41dd-4131-92e5-9f5ff83d8285","resolution":{"observed_at":"2026-08-05T18:55:15.639164Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.628199Z","title":null,"venue":null,"work_id":"fda06efe-a488-4441-8810-7db90c8bbd00","year":1991},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.081963Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:0bd8835dabca1f63c7f9d758eb1f69a1d5da16c4111b0444763e25be92fb22ce","observation_id":"8f6fe668-b00d-4dc0-acd3-d1f009fd21d9","resolution":{"observed_at":"2026-08-05T18:55:15.630964Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.619804Z","title":null,"venue":null,"work_id":"6ee019e4-31d3-42cd-be91-1fd202f4e525","year":1991},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.084605Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:c36ca24d133cf73069e2bf78287783857a29250b2f622a65c9d9860495ea78f8","observation_id":"7683f340-3f0d-419e-8f6d-9b840a59e92b","resolution":{"observed_at":"2026-08-05T18:55:15.622502Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.611692Z","title":"Krenn, X","venue":null,"work_id":"2ac23b13-f456-40b2-8cea-0a30c835fb4c","year":2017},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.087045Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:a933b1bc88eaa72b2fee7ca0da2fce25085be5dc6423cc6e0f96a3a75a80cc29","observation_id":"a455d4b3-ae0c-439e-bf62-94980da49753","resolution":{"observed_at":"2026-08-05T18:55:15.614224Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.603559Z","title":"Hochrainer, M","venue":null,"work_id":"66ab2536-6001-4616-bb42-bf737ccf7523","year":2022},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.089457Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:c30341c92a6fe0f70755a61fac1871938847cb65786c2ba3a0d91f650b9336c1","observation_id":"9203059b-eb81-49ab-b251-5957eb4f82f0","resolution":{"observed_at":"2026-08-05T18:55:15.606213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.595259Z","title":null,"venue":null,"work_id":"47a3422b-5ebf-476c-976f-11ad4d61f3f7","year":2023},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.091975Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:ea075944183dd9a21c92a4bdd55d84caf6e4606efaac35032937eb5208584ae6","observation_id":"f6b7627f-842a-4141-bb0e-9929f5210a55","resolution":{"observed_at":"2026-08-05T18:55:15.598051Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.587008Z","title":null,"venue":null,"work_id":"f3b36ccf-46a7-4347-b3c8-3aaaa3f4b819","year":2014},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.094624Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:5c02c9078aefef7a5df9a55311f673fcef86e780bcac330465cb3fdc07ff2385","observation_id":"65b353da-fc51-4fd7-ae5b-e442a8125d3d","resolution":{"observed_at":"2026-08-05T18:55:15.589913Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.579202Z","title":"Lahiri, R","venue":null,"work_id":"575edaf5-fbac-4f64-b9f1-8f78670e3422","year":2015},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.097270Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:c618fdb17006a4b6c4c6ebcaf8b7b1f5e4967f72f1df5e5aa36dc4e239459bd1","observation_id":"c2ca2e6b-58d0-4670-8d93-858a8d09734a","resolution":{"observed_at":"2026-08-05T18:55:15.581733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.571560Z","title":null,"venue":null,"work_id":"3e27c3f7-2551-481f-ae86-d5eb897684ac","year":2022},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.099974Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:61960cfe197cc66c576d935e24c7e259ae5d5b2d3051963a6789325ce9cce5cb","observation_id":"5643ea8d-9157-46f6-bfdf-3438db406858","resolution":{"observed_at":"2026-08-05T18:55:15.574086Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.563170Z","title":"Leonhardt, Quantum physics of simple optical instruments, Rep","venue":null,"work_id":"ff126d77-3959-4a56-9f9c-3deb28186402","year":2003},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.102833Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:be405d435b8ce0ad182476aac78d4a5a20395851fd741515da179ca63a89a392","observation_id":"6fd1d9ac-5c96-4bb7-8a3d-18b10a136b96","resolution":{"observed_at":"2026-08-05T18:55:15.565881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.555049Z","title":null,"venue":null,"work_id":"a6ed229b-badd-40dc-bad3-97f1ed0148e2","year":2020},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.105339Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:da8de2b264128500a773055190c3fe34e325ecf0acd30a92bfabf720d5b3b71b","observation_id":"7e1daa24-d228-4347-8a8d-f1fa3e802ef1","resolution":{"observed_at":"2026-08-05T18:55:15.557620Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.546895Z","title":null,"venue":null,"work_id":"a5be7349-a2e3-4ac1-9753-fc5d11e95c78","year":1924},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.108134Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:e7dff36667e239479b779af9f79aa260d330286d64ee97861db7daeef17c29e4","observation_id":"3e710fae-53a9-4fc0-92ac-0ba517480006","resolution":{"observed_at":"2026-08-05T18:55:15.549772Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.538486Z","title":"Zheng, J.-S","venue":null,"work_id":"8fe05401-0799-4b20-a0e1-5687785cc8c5","year":2024},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.110859Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:c9453b16b6fc1718e78d7496223974b6765559728b62add919ab51aa67b1115c","observation_id":"d8ed5716-1695-4f96-b18c-9cd9095ea697","resolution":{"observed_at":"2026-08-05T18:55:15.541184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2310.20416","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:55:15.342402Z","title":null,"venue":null,"work_id":"8190891c-d9e5-4082-a707-d8af94592d4b","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.113399Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:79b78a01195b175265487ff9360f06573dc4bf0d41676851096bc78e89f18c73","observation_id":"687af696-4bb5-4636-873e-f90af836f9f1","resolution":{"observed_at":"2026-08-05T18:55:15.346539Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.529448Z","title":null,"venue":null,"work_id":"9f24824b-84b7-42f2-af94-af6e1cdf23db","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.115977Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:5de654480d4c035ad87df0e1dddb288bfc24757e6f767ff7413e129079a76068","observation_id":"77ed68ec-cef5-42b1-adaa-6c77dc7c2788","resolution":{"observed_at":"2026-08-05T18:55:15.532118Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.01480","last_updated":"2025-02-03T16:15:50Z","snapshot_observed_at":"2026-08-21T11:55:46.504940Z","submitted_at":"2025-02-03T16:15:50Z","title":"Two-particle quantum interference in a nonlinear optical medium: a witness of timelike indistinguishability","version":1},"cited_work":{"arxiv_id":"2502.01480","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.01480","snapshot_observed_at":"2026-08-05T18:55:15.202509Z","title":"Two-particle quantum interference in a nonlinear optical medium: a witness of timelike indistinguishability","venue":"quant-ph","work_id":"ffaebe3b-8c4d-4aa6-a106-3697c9136cef","year":2025},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.119108Z"},"links":{"cited_paper":"/paper/2502.01480","citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:5733b085a3c6e05a123f66df3f8b10747a049ee6152190fec04fd602c38bc96a","observation_id":"29ded190-cdd3-497e-b2a1-6017dc2e6ee2","resolution":{"observed_at":"2026-08-05T18:55:15.208006Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.520792Z","title":null,"venue":null,"work_id":"ceed4f90-4e6a-40b7-8718-6a140954fbbc","year":1988},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.122110Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:8ed899de3774afe150100a2d168a0bee1b9a62a89952d86ae639bbd7216f0525","observation_id":"be5d40f4-8b92-42be-b522-d73a1b28c107","resolution":{"observed_at":"2026-08-05T18:55:15.523794Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.512102Z","title":null,"venue":null,"work_id":"7c56ccc6-1225-48a5-89be-1d481471e2a9","year":1988},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.124991Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:e9e2eb1d6cd5f664c3039e987c2ce9a962ba19d4b2b76b169529b8983a3fc884","observation_id":"46937fe2-a551-4f7a-90d2-d57aa9a526f5","resolution":{"observed_at":"2026-08-05T18:55:15.514985Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.503134Z","title":null,"venue":null,"work_id":"bd342a1c-902e-4874-b738-6d7186d3587d","year":1995},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.127403Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:c16676e05727b7878c3aee0ba31c9edb7f1c56f411d8e675d7b1c6bc31fda9d3","observation_id":"c1a02052-b5b1-42dd-aa02-348bba7fa4e5","resolution":{"observed_at":"2026-08-05T18:55:15.506157Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.494153Z","title":"Walborn, C","venue":null,"work_id":"7130c8d7-c8bd-4388-9885-8e0ccf7f0207","year":2010},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.129832Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:c7656782e1cb178918309dbe26926e3e34116cc1405da17f693ee096b9683eb5","observation_id":"553b9f69-cf9f-4745-9abe-eae29996131d","resolution":{"observed_at":"2026-08-05T18:55:15.497072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.132265Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.132265Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:dfa63b75c7dff835d3502fcb17a1ca69d67e94d7eaad7a28399579d8893cea0b","observation_id":"11e34f82-ef5a-4762-b99d-3a7df5054694","resolution":{"observed_at":"2026-08-05T18:55:15.132265Z","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":"2026-08-05T18:55:15.480711Z","title":"Chakhmakhchyan and N","venue":null,"work_id":"2bd30f85-ea5e-4363-9893-52da12e5f1e8","year":2018},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.134862Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:bc0c2ded597844eb75bb7883c153b77972f7605fdae1b9ee7885fcdab8ebb070","observation_id":"8cde9d87-f1c1-4749-a994-798bd1625bde","resolution":{"observed_at":"2026-08-05T18:55:15.483429Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.472454Z","title":null,"venue":null,"work_id":"275a1600-c07e-4687-8870-97ffcd86b2f0","year":1960},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.137441Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:2976a720b623797a011298aebfe357d01237c4d55d2351d667e02390fd767ce3","observation_id":"4add78c2-72e8-43e6-83d0-6a37fc167376","resolution":{"observed_at":"2026-08-05T18:55:15.475313Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.463848Z","title":"Li, Formulation and comparison of two recursive matrix al- gorithms for modeling layered diffraction gratings, J","venue":null,"work_id":"4c4c9f4b-ffe9-433f-ae17-51efa8cac6d5","year":1996},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.139936Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:328128a0251d0ad814f39ef38cb25e8e2066f28ab8cf37031efd187d865322de","observation_id":"11918fad-a1b5-465f-9dea-581d7f735c39","resolution":{"observed_at":"2026-08-05T18:55:15.466673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.454784Z","title":"If their product (the modulus of the determinant) is1, they are all1and the matrix is unitary","venue":null,"work_id":"aed47c5a-23ef-443f-9f76-d2815e49253b","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.142303Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:39b4b7cc3ec2293b32c8fcf43be97389f2c0dd3317276edfafecf07979b56b4a","observation_id":"77eab48d-7aab-4eef-8387-85d03f9c864a","resolution":{"observed_at":"2026-08-05T18:55:15.458183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.144910Z","title":"Yurke, S","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.144910Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:6abf070d9b5daef2e567582d8533b66063295cd813eff0c60cac096d16d3bab2","observation_id":"189a9ecc-96e3-4c06-8c9f-c754fe3b2fe6","resolution":{"observed_at":"2026-08-05T18:55:15.144910Z","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":"2026-08-05T18:55:15.439576Z","title":null,"venue":null,"work_id":"1c82b9d9-7277-4609-afc3-56ae1ed1e59f","year":2020},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.147282Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:cc51283527ee5725ef364dbdd4104e3b2172dcc4c204e0556ddb746c7983d638","observation_id":"624d482b-380c-48d7-bf59-b316ea8e23af","resolution":{"observed_at":"2026-08-05T18:55:15.443050Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.430164Z","title":null,"venue":null,"work_id":"f18e40f2-4ed1-4c78-be9a-0dc28af7c067","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.149625Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:ee2cc6e3d7cf4ab3937aad64dba351c77f941f5fe3fa91474d23e53c8cfbf4f2","observation_id":"4d6da740-7511-4366-aeb5-5b0ddeaf518d","resolution":{"observed_at":"2026-08-05T18:55:15.432953Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.152017Z","title":"Weedbrook, S","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.152017Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:b3edb7b90c7dc934a9cf65af3f67858b45a4189be873c3846d33f8845a7c91ea","observation_id":"f73644cf-f5f4-4d9d-8809-a9d537db43c5","resolution":{"observed_at":"2026-08-05T18:55:15.152017Z","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":"2026-08-05T18:55:15.413314Z","title":null,"venue":null,"work_id":"a94cf919-e7a5-4ead-9019-282d01e2ee9a","year":2019},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.155421Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:63eb356d053a18bf0ce1836582d8e5ff4670e90516d1ce5837c48b47e3b5db2a","observation_id":"f8474f0e-34be-4195-9b59-27372feb6f53","resolution":{"observed_at":"2026-08-05T18:55:15.416811Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.403995Z","title":"Nevertheless, this theory is suitable for a well-calibrated setup which performs the PDC with almost no other influences on the optical field","venue":null,"work_id":"923386f6-1536-40b1-8d4d-676f850e38a8","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.158007Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:10e4b0f9040c4f04691eaeeda8e8325c8f08d2704f52436ea5af5d58d77794e9","observation_id":"3316d45b-1369-4d5b-9df7-bb2c114fa2dd","resolution":{"observed_at":"2026-08-05T18:55:15.406978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.394795Z","title":null,"venue":null,"work_id":"4e03a156-11dd-409a-9b9f-447a12d6e59c","year":2020},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.160516Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:e3d88a06391a013f7fa1d6f9cb0b55accd428afeedb710da973c726f3d3a071d","observation_id":"fe2aec2a-a555-4cf4-b45c-59f6b979c239","resolution":{"observed_at":"2026-08-05T18:55:15.397757Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.386229Z","title":"Bouwmeester, J.-W","venue":null,"work_id":"1b33c6ec-b71e-4b02-8d93-6935de8dbce4","year":1997},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.163328Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:d393daa912d54b898651f5b3e2322c6940d658139613eb9f5ef7a48755668ce1","observation_id":"f8d44ef1-c55a-4ae5-89e5-8723dfeed1a9","resolution":{"observed_at":"2026-08-05T18:55:15.388974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.377878Z","title":"However, perfect interference filters can be placed to totally ab- sorb lights with unwanted frequencies which are isolated from our considered ones","venue":null,"work_id":"f5f2275b-06e6-4fa7-8bd8-66c15b4c4814","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.165930Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:addcfba9a572ecf9eb24a5976523b52d4e214caaa15a9bee87b9b0a674aad8d2","observation_id":"74dac80b-9e81-4abb-b76e-aadc48564542","resolution":{"observed_at":"2026-08-05T18:55:15.380842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.369203Z","title":"Houde, W","venue":null,"work_id":"13597d82-7897-4ff2-9c7f-40e39a491b27","year":2024},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.168349Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:bd3c544bc68e32f76e535c81b8aeea45220fa06e4180ff2450cb8833ec0a3a24","observation_id":"1022039c-0b06-4b19-8c59-17397eccdb74","resolution":{"observed_at":"2026-08-05T18:55:15.372282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.360685Z","title":null,"venue":null,"work_id":"6ce02209-13d2-4fd5-9a21-c12912221447","year":null},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.171088Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:ac415437372ebc8753d9e2e7ff8c1f6aff997df3f9e2dd01b74b8f0b872c7589","observation_id":"0451037c-16aa-44a7-b6a3-0578e92666f4","resolution":{"observed_at":"2026-08-05T18:55:15.363296Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-05T18:55:15.173537Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-05T18:55:15.173537Z"},"links":{"citing_paper":"/paper/2508.13856"},"observation_digest":"sha256:b1907211e00e13a587948403d6ac616d84c4794a3a45113f2f4a252d5c8ad223","observation_id":"cd23b0cf-7c1f-4eee-a4eb-9bb15daa2984","resolution":{"observed_at":"2026-08-05T18:55:15.173537Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2508.13856","last_updated":"2025-08-19T14:17:25Z","latest_version":1,"primary_category":"cs.MA","snapshot_observed_at":"2026-08-12T02:28:04.469258Z","submitted_at":"2025-08-19T14:17:25Z","title":"The Multi-Stage Assignment Problem: A Fairness Perspective"},"reference_resolution":{"displayed":55,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":2,"verified_fuzzy":24},"total_outbound_references":55},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2508.13856."}