{"as_of":"2026-08-08T23:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:52a0d0e7a9cc68ea0f8bc600b5845a75105cc34728e5ab0c7a8295934695e5b0","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:38:15.461221Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2507.13194/citation-record","integrity":"/paper/2507.13194/integrity","json":"/paper/2507.13194/citation-record.json","paper":"/paper/2507.13194"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:38:19.898513Z","title":"Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration","venue":null,"work_id":"956c7adc-736f-4021-9265-83e32b745dec","year":1964},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:12.239272Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:f2d83efc22eb71ad718bfdd49acb2935263061b785d8cdd228676ddecd419955","observation_id":"90fef768-5d63-45a3-a130-c5b9968b63ee","resolution":{"observed_at":"2026-08-06T16:38:20.073788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:16.575997Z","title":"It is also possible to use this experiment in 2D by setting the Z-axis coordinate to 0 for each cluster center, resulting in clusters lying in the XY-plane","venue":null,"work_id":"0745618a-7a11-4405-96a8-68518e29b455","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:15.172128Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:2513e12bb11bb65c1841cf7ea731b131dd017d84d6faf300a1dd25e3da77835a","observation_id":"8fbc7e29-9020-4acf-9de5-1521e86471b4","resolution":{"observed_at":"2026-08-06T16:38:16.625204Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:16.826089Z","title":"For example, given samples θ11,ϕ,","venue":null,"work_id":"ae0b9638-11c3-43c2-9d23-01f30bc319d8","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.970150Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:d8fae5d99eee88ecdd92812a87856a988d1d074675646cbcde9edd3b9d8dfa4b","observation_id":"ba802975-7947-4482-92a9-eae3c14cc620","resolution":{"observed_at":"2026-08-06T16:38:16.872255Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:19.533884Z","title":"The radon transform on r n","venue":null,"work_id":"ecf6d1ed-6877-425d-8144-c968c2bdd92f","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:12.822330Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:ab38e50ed9bc05bf1dd95004820a7c1c705ae127ce4fdb9877461eac69639f50","observation_id":"59e84af1-e159-48c9-b4f8-67d4bd234593","resolution":{"observed_at":"2026-08-06T16:38:19.607998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1605.00316","last_updated":"2016-05-01T22:37:24Z","snapshot_observed_at":"2026-07-06T04:54:43.929613Z","submitted_at":"2016-05-01T22:37:24Z","title":"Directional Statistics in Machine Learning: a Brief Review","version":1},"cited_work":{"arxiv_id":"1605.00316","doi":null,"metadata_source":"pith","pith_arxiv_id":"1605.00316","snapshot_observed_at":"2026-08-06T16:38:15.951698Z","title":"Directional Statistics in Machine Learning: a Brief Review","venue":"stat.ML","work_id":"8edacad0-7bcd-4805-87e1-80ab2eb11613","year":2016},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:13.200621Z"},"links":{"cited_paper":"/paper/1605.00316","citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:a7f954affaa8363b79be4bb7f7676288859d5237387117430dddfd04cecfcb21","observation_id":"10dfb101-056a-454d-a00a-2c9bcd00ba94","resolution":{"observed_at":"2026-08-06T16:38:16.087003Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.10124","last_updated":"2022-10-20T08:13:22Z","snapshot_observed_at":"2026-08-08T13:36:41.291317Z","submitted_at":"2019-05-24T10:18:52Z","title":"Sliced Gromov-Wasserstein","version":4},"cited_work":{"arxiv_id":"1905.10124","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.10124","snapshot_observed_at":"2026-08-06T16:38:15.681528Z","title":"Sliced Gromov-Wasserstein","venue":"stat.ML","work_id":"202ca8e0-038a-4908-92d4-5538d34a8f14","year":2019},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:13.291868Z"},"links":{"cited_paper":"/paper/1905.10124","citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:1eba4f6eaaf062611d3d9469323c0bf05e9644b256d45ed23b891bbd518265e4","observation_id":"7672c04e-18d9-49e0-91ba-c939bb27b57e","resolution":{"observed_at":"2026-08-06T16:38:15.827216Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:19.334765Z","title":"We then discuss some related works in B","venue":null,"work_id":"3c922676-eb74-4d31-841b-c3982ec25b6e","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:13.388263Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:747ea74b29c8ec08880fe671983caa4082792ccad4976f796fa1f989a4e3dc02","observation_id":"5277aad9-6794-4ff5-9b92-820171db87c4","resolution":{"observed_at":"2026-08-06T16:38:19.372164Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:19.187699Z","title":null,"venue":null,"work_id":"223570b2-65bd-4241-81e9-33fba5ed906f","year":2019},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:13.489516Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:7753e90d4503e4ba6b9ed2d626347c3460fffcd499a942707d225f78be7e6ac8","observation_id":"4939ca30-8503-4c95-bace-fcfeaa20fcbe","resolution":{"observed_at":"2026-08-06T16:38:19.240273Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:19.030587Z","title":"Since σRA(θ; µ, ν, σk) is continuous due to the continuity of σk, we have GWp(θ♯µ, θ♯ν) = 0 for all θ ∈ Sd−1","venue":null,"work_id":"1a055d1d-1a89-412f-9ca0-2b8d750bcb5d","year":2019},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:13.615418Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:55009ef611cfdd483f8fd8bf409c17313dfe94ae48787abf9c3f17d6e38d6437","observation_id":"ae1bf40d-32a1-4330-b5eb-a2c7d8f1fabe","resolution":{"observed_at":"2026-08-06T16:38:19.110104Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:18.890308Z","title":", θL ∈ Sd−1","venue":null,"work_id":"66664a6d-60b1-4d27-83be-76178e85c3ce","year":2023},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:13.716186Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:e3bf2e9af6186807c707081a0721bb1105aac65e711e2eb581eb594288eaeda6","observation_id":"c2d0f9ed-27a3-4554-8ee3-1ff3d66d2b8a","resolution":{"observed_at":"2026-08-06T16:38:18.951814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:18.754163Z","title":null,"venue":null,"work_id":"221584d7-5182-4d13-a05a-efe761f0561b","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:13.798323Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:8e0ebc543dd98214ec4dc65c73306480867aec16cb637070027ee6d08f0ba987","observation_id":"52f9fce5-18ec-4b9a-a0b0-5af301051dfd","resolution":{"observed_at":"2026-08-06T16:38:18.826896Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:18.574441Z","title":"Therefore, we have σRA(θ; µ, ν, σκ) → U(Sd−1)","venue":null,"work_id":"7d4abfff-5c0f-4fb5-9314-e1d06c267f76","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:13.890112Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:e887131388fedc13e9072093c9b4fbba24640bb03ba74458f4b4ee1ac9d65cee","observation_id":"775f64ab-05e9-42dc-bf9f-7d73e3bd5e81","resolution":{"observed_at":"2026-08-06T16:38:18.671517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:18.414332Z","title":null,"venue":null,"work_id":"6517f8ff-69f6-434d-85f3-94d3014764f4","year":2024},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:13.983035Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:cece00ed0dca7d35cc5f2b673156edb56b804add91db05562d9e72ffb15ce257","observation_id":"f8fc5548-438f-4277-85bf-0fc4ce21002a","resolution":{"observed_at":"2026-08-06T16:38:18.489237Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:18.236751Z","title":"sup A∈A |µn(A) − µ(A)| # ≤ vuutE","venue":null,"work_id":"705296d4-a540-43c2-8191-677fb8c84373","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.076851Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:992eb58f974b89e5308287816770286639a7785b8cee720ffb60250abf85f3f9","observation_id":"376ba5f0-afe5-4dfd-91ec-6d0d0f39d1fb","resolution":{"observed_at":"2026-08-06T16:38:18.307433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:18.095148Z","title":"As a consequence, we obtain the conclusion of the proof","venue":null,"work_id":"a73e8894-36eb-4a6f-8c38-6b56397f4802","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.188134Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:000298dc440e93308790fbdb684580b8d4ee11dfb510146b9b1cdd6c5d406bad","observation_id":"7f6cfe35-e3fa-43fb-908b-78358376c3ec","resolution":{"observed_at":"2026-08-06T16:38:18.162024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:17.795897Z","title":"1: Sample index i ∼ Categorical(α1, ..., αk) 2: Sample v ∼ U(Sd−2) 3: b ← −2κi+ √ 4κ2 i +(d−1)2 d−1 , a ← (d−1)+2κi+ √ 4κ2 i +(d−1)2 4 , m ← 4ab (1+b) − (d −","venue":null,"work_id":"7f9a89ee-7e8f-4120-9ecd-79be3170cb13","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.350320Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:15d74304e99e347eb1174451d1beb1dcd6b3e34d01b1d983337d9807bffb866c","observation_id":"c8ad587a-9f41-4b82-9e81-c3cbd923c7b9","resolution":{"observed_at":"2026-08-06T16:38:17.851103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:17.643437Z","title":null,"venue":null,"work_id":"bb6e64a1-f05b-4bb4-b033-4309868ef0db","year":2020},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.421238Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:23af83991ff19dcfd4f10bd5fa196b327f703114b96d4db77ab5afe0ec963465","observation_id":"c4d8855f-9b36-4824-9c32-7c416f684ee5","resolution":{"observed_at":"2026-08-06T16:38:17.728046Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:17.515880Z","title":"lim κ→∞ Z Sd−1 g(x)f (x|ϵ, κ)dx = Z Sd−1 g(x)δϵ(x)dx","venue":null,"work_id":"51d9eac0-1aa5-4a94-9982-3e3b3d2711a7","year":2020},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.487932Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:c13d3c9d8a8811fde18e92bbbefdedb523544052b5bfc73f26b9ff5c40a05ace","observation_id":"df436f7d-e4b4-49b8-96e4-5960d82d5069","resolution":{"observed_at":"2026-08-06T16:38:17.573098Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:17.352217Z","title":null,"venue":null,"work_id":"3cad2e51-780a-42e8-a905-8120cf8c3d2a","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.589652Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:dfe255ca9219d7fab77d14cc36ffc3431b69048bec8291ca2d915a668ad1e23a","observation_id":"ea6260d0-23fe-4d9f-b9ab-1c91ac47d403","resolution":{"observed_at":"2026-08-06T16:38:17.451756Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:17.221039Z","title":"Here, W2(RIµ(·, θ), RIν(·, θ)) achieves its peak when θ = x0 ∥x0∥2 and measures zero for θ orthogonal to x0","venue":null,"work_id":"182c79e7-4981-4348-8b42-4e3c8101d904","year":2018},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.687768Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:a3c05956fc90dcd9a656caa98389360bd252ea481cccddf2140e5776718b1282","observation_id":"c0e47860-484a-4045-917d-2a9d7f8530bf","resolution":{"observed_at":"2026-08-06T16:38:17.280492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:17.114884Z","title":null,"venue":null,"work_id":"133ac889-8c32-4543-9232-6d355072cd46","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.769937Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:28641e8685c593df625c841d3468699b05d71dbb4d34e5a1d43a723dac008639","observation_id":"faa8bd27-9382-45c5-a8f3-6c6926ea7725","resolution":{"observed_at":"2026-08-06T16:38:17.161822Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:16.426481Z","title":"Now, we aim to generate a 3D distribution for this target 2D distribution","venue":null,"work_id":"71b51f07-ffcb-4b92-ab89-86deb0c38c9c","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:15.271641Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:15170b8f75d972052d004c0654f12ce8736de9d3ce2fcf4a6257998f740afa5b","observation_id":"cb619892-754c-44b6-b308-d17d80325e50","resolution":{"observed_at":"2026-08-06T16:38:16.486878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:16.314236Z","title":"FC\" and “Conv","venue":null,"work_id":"7d372fcb-2323-442c-b9f1-11b183a21be7","year":2015},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:15.362168Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:ffbb006a3f534078093b2b950845b868086803c2cb9e17926ac14ba8ced077ac","observation_id":"b0601f83-e535-4e30-8f2a-70c1b2522350","resolution":{"observed_at":"2026-08-06T16:38:16.364350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:16.191742Z","title":"Peak Signal-to-Noise Ratio","venue":null,"work_id":"3acf98a3-4c1d-4087-9a73-70853eb83ce8","year":2009},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:15.461221Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:94c91acd2b27ad6733626c4a35b47b02b2c3b428317743aea29cab5ed45fb6a5","observation_id":"decf50e7-8647-463d-8211-751b3d014a35","resolution":{"observed_at":"2026-08-06T16:38:16.247402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1611.02163","last_updated":"2017-05-12T23:52:12Z","snapshot_observed_at":"2026-08-06T19:27:06.159801Z","submitted_at":"2016-11-07T16:42:09Z","title":"Unrolled Generative Adversarial Networks","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.02163","snapshot_observed_at":"2026-08-06T16:38:12.988126Z","title":"Unrolled generative adversarial networks","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2011,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:12.988126Z"},"links":{"cited_paper":"/paper/1611.02163","citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:fad3dc530e91b181a7a21e7dee78483b17b3c1de3f1247ddae2ecf78ce8b322b","observation_id":"4c46c147-6f99-433c-8b54-31dd606c42e9","resolution":{"observed_at":"2026-08-06T16:38:12.988126Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.04437","last_updated":"2020-06-15T10:42:27Z","snapshot_observed_at":"2026-08-08T04:42:30.974844Z","submitted_at":"2020-06-08T09:51:43Z","title":"The Power Spherical distribution","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.04437","snapshot_observed_at":"2026-08-06T16:38:12.536644Z","title":"The power spherical distribution","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:12.536644Z"},"links":{"cited_paper":"/paper/2006.04437","citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:f97de7a667581fd12a8bcfb8e4aba898d9f60364b04f7617e7bd3482179b9359","observation_id":"fea134dd-3880-4610-8dc1-3bcf2f85f62a","resolution":{"observed_at":"2026-08-06T16:38:12.536644Z","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":"2026-08-06T16:38:19.686914Z","title":"Fast algorithms for computational optimal transport and wasserstein barycenter","venue":null,"work_id":"40cf530b-7c2d-4ff1-8561-675b27bd3006","year":null},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:12.740991Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:b26c384473af559bbe8eb1d4f872622e4200da62143f24b36958639842c1114f","observation_id":"2f6d4c0d-61fe-4623-8b14-2925164fd529","resolution":{"observed_at":"2026-08-06T16:38:19.779956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.08812","last_updated":"2022-03-17T12:14:25Z","snapshot_observed_at":"2026-08-01T17:40:34.925112Z","submitted_at":"2020-06-15T23:00:08Z","title":"Augmented Sliced Wasserstein Distances","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.08812","snapshot_observed_at":"2026-08-06T16:38:12.403990Z","title":"Augmented sliced wasserstein distances","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:12.403990Z"},"links":{"cited_paper":"/paper/2006.08812","citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:64a0200f46e228f0e9f2dd385366a84a62aed114dde13d8d74000e203a341f44","observation_id":"a85e1401-813b-441b-94bc-ed7670ce6b40","resolution":{"observed_at":"2026-08-06T16:38:12.403990Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1612.02136","last_updated":"2017-03-02T06:28:13Z","snapshot_observed_at":"2026-07-06T05:21:41.572083Z","submitted_at":"2016-12-07T07:45:38Z","title":"Mode Regularized Generative Adversarial Networks","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.02136","snapshot_observed_at":"2026-08-06T16:38:12.330439Z","title":"Mode regularized generative adversarial networks","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:12.330439Z"},"links":{"cited_paper":"/paper/1612.02136","citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:d01d7db7fc6ace8e3d6900b1fe2298b7fe1345234c7586fab3b800d3e2e4a08a","observation_id":"364f138a-97e0-4d1c-bab2-7deb96f0e1ba","resolution":{"observed_at":"2026-08-06T16:38:12.330439Z","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":"2026-08-06T16:38:16.694282Z","title":"The Generator is designed as a four-layer Multilayer Perceptron (MLP)that processes a 256-dimensional input and produces a 2-dimensional output","venue":null,"work_id":"ad4ba7d3-1917-4993-86a4-e5cb14400fb3","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:15.067052Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:2b21007df2eb1fe0ceff0438990fea80e3f4e6b1aad0e1f17e44e3ad73c9e15a","observation_id":"c80c20aa-86b8-4ff8-93a6-bbacd3af65fe","resolution":{"observed_at":"2026-08-06T16:38:16.733922Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:12.637341Z","title":"Imagenet: A large-scale hierarchical image database","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:12.637341Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:bb661b280c817180ee0d2b9bb48271529de280fc98404ab17696d6f426ec2afe","observation_id":"f3a86dba-2f84-485e-a10a-efffbaad8065","resolution":{"observed_at":"2026-08-06T16:38:12.637341Z","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":"2026-08-06T16:38:17.932822Z","title":null,"venue":null,"work_id":"582dc425-7b6d-462d-9c0e-e7d4239c4b9f","year":2021},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.258163Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:85a9e927b91d2420fc2595c682d1f72d0a79bcd6d7184dbce7d9f8a422f4c31b","observation_id":"a7599fc0-be35-4d1e-a50c-c00170ef6aa8","resolution":{"observed_at":"2026-08-06T16:38:18.015135Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:19.377654Z","title":"Gromov-wasserstein averaging of kernel and distance matrices","venue":null,"work_id":"d8456a5a-e0bd-467c-b728-1fddd4dc402e","year":2025},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:13.083597Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:2e872bb02afeaafc07311e158a5a935032a92f44c51e60918b63a96e39ea5e99","observation_id":"1014e764-4558-4514-9840-db60fae83765","resolution":{"observed_at":"2026-08-06T16:38:19.435474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:38:16.963311Z","title":null,"venue":null,"work_id":"12d2465c-4a2c-4e74-a47c-954c8b579d4c","year":2019},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:14.871383Z"},"links":{"citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:6a635fe23a11c03618e12b1fc13ead386b7ff707e158b948185de26eaa08c7bd","observation_id":"37e460aa-78f4-4376-b032-a30a61bf9a08","resolution":{"observed_at":"2026-08-06T16:38:17.048297Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1312.6114","last_updated":"2022-12-10T21:04:00Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2013-12-20T20:58:10Z","title":"Auto-Encoding Variational Bayes","version":11},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.6114","snapshot_observed_at":"2026-08-06T16:38:12.890516Z","title":"Auto-encoding variational bayes","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-06T16:38:12.890516Z"},"links":{"cited_paper":"/paper/1312.6114","citing_paper":"/paper/2507.13194"},"observation_digest":"sha256:87db323a492181129d5a1921d27a217530fd0feab5c3165d1b6faa5c454fcf9c","observation_id":"883a574c-9bb5-412c-b993-dd74c61df2a2","resolution":{"observed_at":"2026-08-06T16:38:12.890516Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.13194","last_updated":"2025-07-17T15:03:25Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-08T13:36:13.176830Z","submitted_at":"2025-07-17T15:03:25Z","title":"Relation-Aware Slicing in Cross-Domain Alignment"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":2,"verified_fuzzy":17},"total_outbound_references":35},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2507.13194."}