{"as_of":"2026-08-18T08:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e726a10c5f1be75d2f963a05fbdaeb093cf61e6c53efdc846e96dfc03a68d332","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-08T01:11:35.146386Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2607.05175/citation-record","integrity":"/paper/2607.05175/integrity","json":"/paper/2607.05175/citation-record.json","paper":"/paper/2607.05175"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-08T01:14:27.651425Z","title":"Representation Learning: A Review and New Perspectives","venue":null,"work_id":"f2614774-729f-4f95-8556-c0cc78d4479b","year":2013},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:8a11eb97bc5e798741c3138d62e4a57ff1d5c90766d7bdb0bb131d8b5739e3d2","observation_id":"768dd08c-983f-499d-9cf4-8b2c2aaf3961","resolution":{"observed_at":"2026-07-08T01:14:27.652784Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1702.08608","last_updated":"2017-03-02T19:32:10Z","snapshot_observed_at":"2026-08-17T15:51:42.391912Z","submitted_at":"2017-02-28T02:19:20Z","title":"Towards A Rigorous Science of Interpretable Machine Learning","version":2},"cited_work":{"arxiv_id":"1702.08608","doi":"10.48550/arxiv.1702.08608","metadata_source":"pith","pith_arxiv_id":"1702.08608","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Towards A Rigorous Science of Interpretable Machine Learning","venue":"stat.ML","work_id":"45958f3f-1e35-4e8a-8ed0-e3989a6c8be5","year":2017},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1702.08608","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:7c6ee4bc997294666b7abddbbcc5b38a26c8985e381df04b8060a93e7cd55ff1","observation_id":"39a93a1f-6a6d-481c-9b0c-e73b996f834b","resolution":{"observed_at":"2026-07-08T01:14:27.344496Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-04T01:08:05.309026+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-04T01:08:05.309026+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/s42256-019-0048-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Stop explaining black box machine learning models for high stakes decisions and use interpretable models instead","venue":"Nature Machine Intelligence","work_id":"18c848b5-10c9-4a25-b846-a14d66710fde","year":2019},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:830926b3eaa44e6a71d43ff6e09a24aa4a9a4df16fc5c6e070518e3116245bd8","observation_id":"c3cc8103-c39c-4534-b650-13941d8dcdf8","resolution":{"observed_at":"2026-07-08T01:14:27.340798Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-17T21:38:08.03913+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-17T21:38:08.03913+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1705.07874","last_updated":"2017-11-25T03:53:32Z","snapshot_observed_at":"2026-08-14T20:59:00.743160Z","submitted_at":"2017-05-22T17:38:10Z","title":"A Unified Approach to Interpreting Model Predictions","version":2},"cited_work":{"arxiv_id":"1705.07874","doi":"10.1002/9780470754856.ch2","metadata_source":"pith","pith_arxiv_id":"1705.07874","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A Unified Approach to Interpreting Model Predictions","venue":"cs.AI","work_id":"6e44af7c-1e6a-465f-aef5-0e4fa461e0ef","year":2017},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1705.07874","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:f5d8b96c21e2c85f14504ffa9aea67c6d4928009b44d691be28ee0606c2dbdd7","observation_id":"c05eeadb-5c86-4890-ae1b-5f64e901e71c","resolution":{"observed_at":"2026-07-08T01:14:27.357559Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1109/iccv.2017.74","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Selvaraju, Michael Cogswell, Abhishek Das, Ramakrishna Vedantam, Devi Parikh, and Dhruv Batra","venue":null,"work_id":"cea663cf-1775-4bde-ae02-57f8ba3348c0","year":2017},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:44450ed4d3454832abbacd3a9f4317f4ce5d44f55039201da8942b007ac3e1fa","observation_id":"b2c270a0-8300-434b-a760-280642bc02ff","resolution":{"observed_at":"2026-07-08T01:14:27.382579Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-03T18:08:40.116052+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-03T18:08:40.116052+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.01365","last_updated":"2017-06-13T01:52:38Z","snapshot_observed_at":"2026-08-14T21:44:23.381879Z","submitted_at":"2017-03-04T00:18:49Z","title":"Axiomatic Attribution for Deep Networks","version":2},"cited_work":{"arxiv_id":"1703.01365","doi":"10.48550/arxiv.1703.01365","metadata_source":"pith","pith_arxiv_id":"1703.01365","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Axiomatic Attribution for Deep Networks","venue":"cs.LG","work_id":"477b01a5-d0db-4fd3-82bb-fd705dc04457","year":2017},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1703.01365","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:0f1e3d6e1602edebb2068657fcf413f06cf75e600e966fc7745509ac72b89c6e","observation_id":"041576cf-09c8-4ed3-b60e-068859b9b3af","resolution":{"observed_at":"2026-07-08T01:14:27.335083Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:18.207207+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:18.207207+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1602.04938","last_updated":"2016-08-09T17:54:52Z","snapshot_observed_at":"2026-08-14T22:10:11.360520Z","submitted_at":"2016-02-16T08:20:14Z","title":"\"Why Should I Trust You?\": Explaining the Predictions of Any Classifier","version":3},"cited_work":{"arxiv_id":"1602.04938","doi":"10.48550/arxiv.1602.04938","metadata_source":"pith","pith_arxiv_id":"1602.04938","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"\"Why Should I Trust You?\": Explaining the Predictions of Any Classifier","venue":"cs.LG","work_id":"d881b780-1040-4e82-a8c0-e5da600ca81e","year":2016},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1602.04938","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:578f3741fe041aa95e774d13cbc76188c715face0de3ec3c33d4c3faf19940f6","observation_id":"ec3ac864-446f-4f3f-9863-df5ae28108fa","resolution":{"observed_at":"2026-07-08T01:14:27.385376Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:18.467691+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:18.467691+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.48550/arxiv.physics/0","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-08T01:14:27.322975Z","title":"The Information Bottleneck Method","venue":null,"work_id":"20044516-65e7-41d9-a28b-b09015d688d1","year":1999},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:c4cb6649cc84f6348e80c1613b98125234b084ad0e3c8935c3f83105ea9c048d","observation_id":"6e71af33-f02c-4337-8a9d-2135b4639fcd","resolution":{"observed_at":"2026-07-08T01:14:27.324774Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:18.730657+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:18.730657+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.00810","last_updated":"2017-04-29T17:32:47Z","snapshot_observed_at":"2026-08-14T21:13:52.487817Z","submitted_at":"2017-03-02T14:53:14Z","title":"Opening the Black Box of Deep Neural Networks via Information","version":3},"cited_work":{"arxiv_id":"1703.00810","doi":"10.48550/arxiv.1703.00810","metadata_source":"pith","pith_arxiv_id":"1703.00810","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Opening the Black Box of Deep Neural Networks via Information","venue":"cs.LG","work_id":"3b14f412-2206-469d-bfd3-c387c75ea711","year":2017},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1703.00810","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:36add8b8c5cdf2358c70f3540fee14e66332c6310040c07c3e17062dd238affc","observation_id":"25284895-6581-4525-8e41-4f94921a077d","resolution":{"observed_at":"2026-07-08T01:14:27.366891Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:18.979424+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:18.979424+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1612.00410","last_updated":"2019-10-23T22:47:44Z","snapshot_observed_at":"2026-08-16T15:45:06.346529Z","submitted_at":"2016-12-01T20:12:40Z","title":"Deep Variational Information Bottleneck","version":7},"cited_work":{"arxiv_id":"1612.00410","doi":"10.1093/cercor/6.3.498","metadata_source":"pith","pith_arxiv_id":"1612.00410","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Deep Variational Information Bottleneck","venue":"cs.LG","work_id":"52c66038-d680-46bf-be0c-f2d29c4daf08","year":2016},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1612.00410","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:feb2dcadd3c47e859307110bd1ea6ecbf27676a306d1200ae4d86349c8780299","observation_id":"9c844005-8808-4ca1-a2d6-78013084f25e","resolution":{"observed_at":"2026-07-08T01:14:27.380587Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.04062","last_updated":"2021-08-14T18:35:05Z","snapshot_observed_at":"2026-08-14T19:55:44.931753Z","submitted_at":"2018-01-12T05:42:58Z","title":"MINE: Mutual Information Neural Estimation","version":5},"cited_work":{"arxiv_id":"1801.04062","doi":"10.48550/arxiv.1801.04062","metadata_source":"pith","pith_arxiv_id":"1801.04062","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"MINE: Mutual information neural estimation","venue":"cs.LG","work_id":"7215937e-1350-4d94-b86d-25fa83c3d13f","year":2018},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1801.04062","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:7396fcb10f9b4cb0e6730a83be02809141b5b134b1e440a748a1c0043d57380e","observation_id":"237ef97b-7681-4aed-b16e-427a2e9c5ffa","resolution":{"observed_at":"2026-07-08T01:14:27.360857Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:19.464851+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:19.464851+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.629473Z","title":null,"venue":null,"work_id":"6048b6cb-388e-4e65-85ac-72659d3a916d","year":1957},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:c051e3f8757a26f74f8caf6051bb7a8636484b153913280a603f72b958d9324e","observation_id":"52ebafa6-9cee-4ef9-93a0-17f42ea4d4bd","resolution":{"observed_at":"2026-07-08T01:14:27.630797Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.631388Z","title":null,"venue":null,"work_id":"266cb6d4-355c-430f-b4e6-e05220626012","year":1980},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:ceb3e7e3ef33fa26ffd61b083245a2c947313f596e3655f3728abed0e16519db","observation_id":"04588898-a445-4322-b84d-4d3769f7a424","resolution":{"observed_at":"2026-07-08T01:14:27.632760Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.647513Z","title":null,"venue":null,"work_id":"c859870a-ed4c-44a0-bd65-285b1be3e69d","year":2007},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:df3eb930e6e26e40a38f7fec3a744e90c3b58c992fe11daa38a99b5f31d39d5d","observation_id":"f2a15c38-e0c2-4ae6-bc0c-0a52fdcf6a38","resolution":{"observed_at":"2026-07-08T01:14:27.648784Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.637106Z","title":null,"venue":null,"work_id":"672c235e-1c84-40ed-84bb-9611e848ceb3","year":2002},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:59f4862a2256e5d202a2f79b2a48e54d9f474668bab6e0a8e6684e0c62d7be07","observation_id":"47483382-e7aa-431c-8ca7-b0b2340495bd","resolution":{"observed_at":"2026-07-08T01:14:27.638496Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0002-9947-1950-0051437-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Aronszajn","venue":"Transactions of the American Mathematical Society","work_id":"3d293de8-03ea-4c27-bfa3-eb4531244dc9","year":1950},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:035a7419bb395be9a3cdfdf32233cb280c5b40e7e940b43b7d1bcc4c4c7310c8","observation_id":"7f31b84f-5f69-411a-a8df-d46246ebfb6f","resolution":{"observed_at":"2026-07-08T01:14:27.374627Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:19.752675+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:19.752675+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.633330Z","title":null,"venue":null,"work_id":"96fae674-c36f-4689-8cde-236cf28166f7","year":2002},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:dc8ef3f10c51036a1a13f3cd40841a29f995f65d7647352860ce9ebe071f0bb8","observation_id":"04cd8280-910c-4bde-b252-81f312639410","resolution":{"observed_at":"2026-07-08T01:14:27.634570Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11222-007-9033-z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Statistics and Computing 17: 395--416","venue":"Statistics and Computing","work_id":"0375804a-40b6-4b8f-ac46-a9c0e880131b","year":2007},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:cfb0fb4a59bb5a165af7b989fd9310bf078c9f9c05c9cc8b8402f2027e8701b3","observation_id":"530c075f-5dd5-43bd-a0f1-5aa70865479d","resolution":{"observed_at":"2026-07-08T01:14:27.380051Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-09T08:49:06.303333+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-09T08:49:06.303333+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.635120Z","title":"On Spectral Clustering: Analysis and an Algorithm","venue":null,"work_id":"636cfcc0-ce8c-4b20-b2e9-185ca286c94e","year":2001},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:38ae66ba771eeb418de133b5acca7240f20551e39eb0cdcef981422ba73fd894","observation_id":"a0782cc0-c565-4ef3-b541-6ae60474a613","resolution":{"observed_at":"2026-07-08T01:14:27.636483Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.639095Z","title":null,"venue":null,"work_id":"7861523b-7c48-4500-8b55-2753eca4100a","year":2016},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:36b569c24d28f34c04ad1533c0b9919de1c181eeb6764f1e4442f1edc8997c74","observation_id":"a4035a40-52ac-4b80-92c7-37a82ebdbbbf","resolution":{"observed_at":"2026-07-08T01:14:27.640434Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"princeton/9780691","doi":"10.23943/princeton/9780691144023.001.0001","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"2014 , publisher =","venue":"Princeton University Press eBooks","work_id":"4f948edd-e764-4d08-9a54-928bcc946990","year":2018},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:aef6f45c3972ec85071d2f2e3b3e16aef8d75d7d37ee5bd0c59695eba4098e7d","observation_id":"9051572b-8c59-492a-8782-e3b4ae635f87","resolution":{"observed_at":"2026-07-08T01:14:27.374815Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-05-25T08:23:41.364541+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T08:23:41.364541+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.649393Z","title":null,"venue":null,"work_id":"8a351fbb-5554-4a7a-bd10-28f883de90fb","year":2010},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:9c78e5fbe7db9c92b5be7e7ab5cd529b891f0f03967f5ae7d41d0b584ff10769","observation_id":"22f4ec05-c47a-4ef0-9add-291fdc702e03","resolution":{"observed_at":"2026-07-08T01:14:27.650619Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreva.101.032308","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Schuld, A","venue":"Physical review. A/Physical review, A","work_id":"7a0a6454-154a-49eb-8a29-1b8470fd0054","year":2020},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:9aa4a95c81f4a37304b44db730c3dcff8ef12e1a74d8821854e316f14647ddb7","observation_id":"6a5f3191-e94b-4e74-96f6-eb288de27698","resolution":{"observed_at":"2026-07-08T01:14:27.369278Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-17T17:38:04.50783+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-17T17:38:04.50783+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/nature23474","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"[Online]","venue":"Nature","work_id":"650ece8b-8133-410e-838f-d26117a6b8d7","year":2017},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:81c116d1c46cb7ec425a379f68d00f0f0ddcd49ec63fdb4378f914601bd450e7","observation_id":"c0a9676c-844c-4b22-b116-db9f0954434c","resolution":{"observed_at":"2026-07-08T01:14:27.341356Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-01T04:39:15.107553+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-01T04:39:15.107553+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevlett.122.040504","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"& Killoran, N","venue":"Physical Review Letters","work_id":"1f9590ef-47be-4962-bb24-380f7828a23b","year":2019},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:fa38d5f9d207aa4e589b03039cdb09ed1babcc8c68dad97a920dbd49d7404d4c","observation_id":"08c21cf0-9bee-49c3-93a4-c7c435c157ba","resolution":{"observed_at":"2026-07-08T01:14:27.382804Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:20.909699+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:20.909699+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/s41586-019-0980-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"doi:10.1038/s41586-019-0980-2","venue":"Nature","work_id":"30ac2fa2-18c9-4817-9e8e-6866e90a09d2","year":2019},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:e7b405b1490e6d8d0aeff172cce6a404f03faee279cf0eaacc6ff3eaaf66b6bc","observation_id":"580a1df0-fe6b-4e4a-a241-c8ad0b9255e9","resolution":{"observed_at":"2026-07-08T01:14:27.338358Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-15T01:38:16.408523+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-15T01:38:16.408523+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1503.02531","last_updated":"2015-03-09T15:44:49Z","snapshot_observed_at":"2026-08-16T18:00:58.008096Z","submitted_at":"2015-03-09T15:44:49Z","title":"Distilling the Knowledge in a Neural Network","version":1},"cited_work":{"arxiv_id":"1503.02531","doi":"10.1109/cvpr52733.2024.01515","metadata_source":"pith","pith_arxiv_id":"1503.02531","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Distilling the Knowledge in a Neural Network","venue":"stat.ML","work_id":"d927ab1f-17b8-4002-9d09-c3d55764fbad","year":2015},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1503.02531","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:55fbf29061ae41a8be2a3f82e8a6ded77c7b2d43f9e82995833e698a71c51a39","observation_id":"0cc3f28c-bdd2-4c94-9309-a52427edd8cb","resolution":{"observed_at":"2026-07-08T01:14:27.322204Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6550","last_updated":"2015-03-27T11:52:28Z","snapshot_observed_at":"2026-08-17T23:25:45.947983Z","submitted_at":"2014-12-19T22:40:51Z","title":"FitNets: Hints for Thin Deep Nets","version":4},"cited_work":{"arxiv_id":"1412.6550","doi":"10.48550/arxiv.1412.6550","metadata_source":"pith","pith_arxiv_id":"1412.6550","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"FitNets: Hints for Thin Deep Nets","venue":"cs.LG","work_id":"057e16e2-a9fd-4a16-8fa3-8806ac7d3165","year":2014},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1412.6550","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:8d3d88c99aff243031625e912d768f3769e9bcfc3d7705c3f8101c8724f469fa","observation_id":"c984187f-29cc-4d3d-a0a7-c973ab804caf","resolution":{"observed_at":"2026-07-08T01:14:27.332236Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:21.382784+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:21.382784+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.05068","last_updated":"2019-05-01T09:36:42Z","snapshot_observed_at":"2026-08-14T16:48:49.378448Z","submitted_at":"2019-04-10T08:52:14Z","title":"Relational Knowledge Distillation","version":2},"cited_work":{"arxiv_id":"1904.05068","doi":"10.48550/arxiv.1904.05068","metadata_source":"pith","pith_arxiv_id":"1904.05068","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Relational Knowledge Distillation","venue":"cs.CV","work_id":"1dd2a070-7355-4d1e-8ff9-98caaaa6cb94","year":2019},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1904.05068","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:81b9619db3e7fad519326df9a563e524e51116240c138845bab305e6a85a1c2e","observation_id":"da6b0d75-0b06-4e8d-98b1-250f08291622","resolution":{"observed_at":"2026-07-08T01:14:27.363520Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:21.602949+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:21.602949+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1910.10699","last_updated":"2022-01-24T19:12:34Z","snapshot_observed_at":"2026-08-10T18:58:30.893017Z","submitted_at":"2019-10-23T17:59:18Z","title":"Contrastive Representation Distillation","version":3},"cited_work":{"arxiv_id":"1910.10699","doi":"10.48550/arxiv.1910.10699","metadata_source":"pith","pith_arxiv_id":"1910.10699","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"URLhttps://arxiv.org/abs/1910.10699","venue":"cs.LG","work_id":"e0fc4057-ac4f-4c73-b04b-cc944c7701ad","year":2019},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1910.10699","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:e57a9d980bca0ce0c3fbef3f3e69143cbf4a2ab22160163ece59fb9014e0f84a","observation_id":"6d16a2ff-9800-443f-919f-58d5ded7f124","resolution":{"observed_at":"2026-07-08T01:14:27.363801Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:21.864262+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:21.864262+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1612.03928","last_updated":"2017-02-12T22:05:47Z","snapshot_observed_at":"2026-08-17T23:26:36.824318Z","submitted_at":"2016-12-12T21:15:57Z","title":"Paying More Attention to Attention: Improving the Performance of Convolutional Neural Networks via Attention Transfer","version":3},"cited_work":{"arxiv_id":"1612.03928","doi":"10.48550/arxiv.1612.03928","metadata_source":"pith","pith_arxiv_id":"1612.03928","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Paying More Attention to Attention: Improving the Performance of Convolutional Neural Networks via Attention Transfer","venue":"cs.CV","work_id":"1e2bd9b4-867c-484f-bb3d-f2f9be85419a","year":2016},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1612.03928","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:e094ff4bfdb4055635405434599bbdd41c156a89dc46a0f8060fc6081f2cfdfb","observation_id":"ebbe29c3-d529-4c5c-b748-06106ec49764","resolution":{"observed_at":"2026-07-08T01:14:27.354249Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:22.086713+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:22.086713+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"7305.1948","doi":"10.1002/j.1538-7305.1948","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T11:50:26.030339Z","title":"The Bell System Tech- nical Journal27(3), 379–423 (1948) https://doi.org/10.1002/j.1538-7305.1948","venue":null,"work_id":"3a63a46f-71c1-4210-af1b-8883de24b497","year":1948},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:f054e1806e553cd0afdcceaf4c39e114f4eb5be59392371e78ff56ad3745db35","observation_id":"c751e9e7-f0b5-47bb-9888-ea2ba34196af","resolution":{"observed_at":"2026-07-08T01:14:27.349909Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-13T14:20:55.337964+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-13T14:20:55.337964+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.04612","last_updated":"2020-12-29T00:32:21Z","snapshot_observed_at":"2026-08-15T01:55:53.236561Z","submitted_at":"2020-07-09T07:47:28Z","title":"Concept Bottleneck Models","version":3},"cited_work":{"arxiv_id":"2007.04612","doi":"10.48550/arxiv.2007.04612","metadata_source":"pith","pith_arxiv_id":"2007.04612","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Concept bottleneck models","venue":"cs.LG","work_id":"3d08cc1d-aa19-4118-9ac4-e45cbde8f857","year":2020},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/2007.04612","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:feb995cb19f5b759b00dced27143ea879b52dfd95390ca399d1097550cb3d285","observation_id":"3959e96b-ed8b-4abe-8b02-08e664e971ee","resolution":{"observed_at":"2026-07-08T01:14:27.343646Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:22.347475+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:22.347475+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.11279","last_updated":"2018-06-07T04:33:27Z","snapshot_observed_at":"2026-08-14T20:08:31.137706Z","submitted_at":"2017-11-30T09:26:12Z","title":"Interpretability Beyond Feature Attribution: Quantitative Testing with Concept Activation Vectors (TCAV)","version":5},"cited_work":{"arxiv_id":"1711.11279","doi":"10.48550/arxiv.1711.11279","metadata_source":"pith","pith_arxiv_id":"1711.11279","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Interpretability Beyond Feature Attribution: Quantitative Testing with Concept Activation Vectors (TCAV)","venue":"stat.ML","work_id":"e4785f6f-2131-4f8e-bb53-1137ea630ec1","year":2017},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1711.11279","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:bcd0c06e3f8c066866d0c7edf95528ddc253855efcf14e2dd3deec7af94d8c85","observation_id":"a6b0c3e5-ee59-4d7c-9e2c-38ed3749f0e2","resolution":{"observed_at":"2026-07-08T01:14:27.369494Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-10T18:38:15.532039+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-10T18:38:15.532039+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.02893","last_updated":"2020-03-27T19:07:58Z","snapshot_observed_at":"2026-08-16T03:32:37.688772Z","submitted_at":"2019-07-05T15:26:26Z","title":"Invariant Risk Minimization","version":3},"cited_work":{"arxiv_id":"1907.02893","doi":"10.1038/s41591-023-02608-w","metadata_source":"pith","pith_arxiv_id":"1907.02893","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Invariant Risk Minimization","venue":"stat.ML","work_id":"d76c6842-b84d-44ec-bcea-b80cd8d07981","year":2019},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/1907.02893","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:ce5cbef409ba22c910feef33c1bf48db2ebb7695934e6ecac9de77faa134c6ac","observation_id":"4db199d8-02f4-42aa-b530-4110d0595d1f","resolution":{"observed_at":"2026-07-08T01:14:27.366322Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.11107","last_updated":"2021-02-22T15:26:57Z","snapshot_observed_at":"2026-08-16T18:43:53.864885Z","submitted_at":"2021-02-22T15:26:57Z","title":"Towards Causal Representation Learning","version":1},"cited_work":{"arxiv_id":"2102.11107","doi":"10.48550/arxiv.2102.11107","metadata_source":"pith","pith_arxiv_id":"2102.11107","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"R., Kalchbrenner, N., Goyal, A., and Bengio, Y","venue":"cs.LG","work_id":"92c73a0f-bd00-4d89-8a74-bf00b2b1adcc","year":2021},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/2102.11107","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:f7facfa5107b5916390df0df91a4b54807882cc4766e6a25a82d3cba74fb8cb5","observation_id":"7e35b830-f2f4-45a5-870f-0e222acaccf9","resolution":{"observed_at":"2026-07-08T01:14:27.388179Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:23.038769+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:23.038769+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.645130Z","title":"On the General Theory of Control Systems.IRE Trans","venue":null,"work_id":"caf6febc-af14-4b97-8b99-5465c7be73b4","year":null},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:0e031b02b3aa9f279409fb403fb1dad5dc7237c87f3bb7cc6010e0bc91d40e6e","observation_id":"5839c200-6d31-4476-aba8-db80947a4c84","resolution":{"observed_at":"2026-07-08T01:14:27.646766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.642731Z","title":"Exact Matrix Completion via Convex Optimization.J","venue":null,"work_id":"1b2d0aab-d84a-4eba-9e66-99e930cbd464","year":null},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:f8715dda18d8612b1ed54e341c4b24b8d46f9b2e2f64cf7aacc91b3fbde04b9a","observation_id":"badc3d0f-50bd-4c86-98ed-64adbb718612","resolution":{"observed_at":"2026-07-08T01:14:27.644419Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-08T01:14:27.640989Z","title":null,"venue":null,"work_id":"653f5e76-ecaa-4c88-a556-4401c6740d41","year":2009},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:05094df2e27f28a083ef16f7943c1cb8a61debec81c34cb603d3eff1571fce68","observation_id":"92408b78-865c-4bf0-a807-cd4ac14fc4ae","resolution":{"observed_at":"2026-07-08T01:14:27.642195Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.07987","last_updated":"2024-07-25T09:33:50Z","snapshot_observed_at":"2026-08-06T11:02:06.607024Z","submitted_at":"2024-05-13T17:58:30Z","title":"The Platonic Representation Hypothesis","version":5},"cited_work":{"arxiv_id":"2405.07987","doi":"10.48550/arxiv.2405.07987","metadata_source":"pith","pith_arxiv_id":"2405.07987","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Platonic Representation Hypothesis","venue":"cs.LG","work_id":"950baa06-36a7-4010-a959-7304fb1ce08b","year":2024},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"cited_paper":"/paper/2405.07987","citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:08827a510b34c3756f9fbd7b0baa0cd8b93c6343e7ba89e2ae621fa95bed015f","observation_id":"56a3bf72-1864-4246-9bb6-4d1b2c474af8","resolution":{"observed_at":"2026-07-08T01:14:27.487020Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/biomet/28.3-4.321","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"doi:10.1093/biomet/28.3-4.321","venue":"Biometrika","work_id":"e8293fd5-66d3-4108-ba2c-0f3f0678c9ab","year":1992},"citing_paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-08T01:11:35.146386Z"},"links":{"citing_paper":"/paper/2607.05175"},"observation_digest":"sha256:7989fd6796ce74ebc897e879ce6ddb0654c38b753280c6c750041b08469904c8","observation_id":"dbca90d9-18be-43a7-b208-e1e1e289d24f","resolution":{"observed_at":"2026-07-08T01:14:27.371640Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-07-11T19:50:23.287871+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T19:50:23.287871+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.05175","last_updated":"2026-07-06T14:57:26Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-04T23:24:37.103099Z","submitted_at":"2026-07-06T14:57:26Z","title":"Platonic Projection Structures: Operator-Induced Observability in Representation Learning"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":2,"metadata_mismatch":16,"parse_uncertain":0,"unresolved":8,"verified_exact":12,"verified_fuzzy":3},"total_outbound_references":41},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.05175."}