{"as_of":"2026-08-06T22:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b825fe082254d356b6962b48b27644e5ce5ba1f73116e80d91fda1badd54496b","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":"2026-05-12T02:06:30.317027Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-11T11:50:26.030339Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":9,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"cited_work":{"arxiv_id":"2605.06300","doi":"10.24963/ijcai.2022/492","metadata_source":"pith","pith_arxiv_id":"2605.06300","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","venue":"cs.LG","work_id":"c6b16897-f0b1-464d-8965-99a47db713a4","year":2026},"citing_paper":{"arxiv_id":"2606.21687","last_updated":"2026-06-19T18:55:46Z","snapshot_observed_at":"2026-08-01T23:19:56.196948Z","submitted_at":"2026-06-19T18:55:46Z","title":"Expressivity Saturation: Reduced Affine Region Usage Under Increasing Task Complexity","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/2605.06300","citing_paper":"/paper/2606.21687"},"observation_digest":"sha256:9e40347d3b6d0e16db19287be74e12b067841eebcd4f20b52b00d68e0c50e3ff","observation_id":"a3fc5db9-85f5-402b-b169-78aa9af680d8","resolution":{"observed_at":"2026-06-26T14:39:31.943019Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2605.06300/citation-record","integrity":"/paper/2605.06300/integrity","json":"/paper/2605.06300/citation-record.json","paper":"/paper/2605.06300"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"On the Number of Linear Regions of Deep Neural Networks , booktitle =","venue":null,"work_id":"2db06671-423f-4d43-8702-ba82830f57e2","year":null},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:159e7eaaca93e46346c4640edbd482ba0da530c1aa80bb9d99d004feab0c3935","observation_id":"a1eb86f2-ee3b-4f6f-8046-3d7c07a5437a","resolution":{"observed_at":"2026-05-13T00:06:58.126112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Advances in Neural Information Processing Systems , volume =","venue":null,"work_id":"2c1e991f-e016-4771-9f7c-05704cc22ddc","year":null},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:9fc69f30d36ee2451c23bfd5569146f6e1bcb2c03fc8246426a53772c9f580d5","observation_id":"cc44c6e7-b0c3-4d7a-8bfe-8a6c2def4aea","resolution":{"observed_at":"2026-05-13T00:06:58.093306Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Baraniuk , title =","venue":null,"work_id":"a38c1715-4ac5-441b-bcb4-56300a65dce1","year":2018},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:2894dc392eda0e0389a4b8d34bda44ef6c638be744aacfba78c74010377328f3","observation_id":"b3cd5b5b-fea2-447e-b0ba-2b89b59747d6","resolution":{"observed_at":"2026-05-13T00:06:58.080510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Advances in Neural Information Processing Systems , year=","venue":null,"work_id":"4a1253db-831d-4147-a924-94afb0818f48","year":null},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:5340cc894a3c99912939797098e7a4859873e71fc264e78abdeddabeac8db7e3","observation_id":"be567eb7-6775-4508-b8f5-7334c2fbfc11","resolution":{"observed_at":"2026-05-13T00:06:58.083788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Proceedings of the 27th international conference on machine learning (ICML-10) , pages=","venue":null,"work_id":"a249e13d-5d54-4e75-b74d-604464c5f566","year":null},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:0c3e1285b55a20b2c29075b92352abc669f167e80d158a4e0b2264db1cfe1ca9","observation_id":"4ef451d9-717c-4d1d-b324-4351f7326db5","resolution":{"observed_at":"2026-05-13T00:06:58.071513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Maas and Awni Y","venue":null,"work_id":"80a2717c-7bf1-4bd8-b125-c65104f964f4","year":2013},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:e175ebfc48ad9cfe503d11020310e9d1ee073618261729a7758535538dd40d46","observation_id":"7c0f8843-c52d-4ec5-8230-76c703072c8c","resolution":{"observed_at":"2026-05-13T00:06:58.077578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1606.08415","last_updated":"2023-06-06T01:53:32Z","snapshot_observed_at":"2026-07-06T05:01:27.910364Z","submitted_at":"2016-06-27T19:20:40Z","title":"Gaussian Error Linear Units (GELUs)","version":5},"cited_work":{"arxiv_id":"1606.08415","doi":"10.18653/v1/n19-1122","metadata_source":"pith","pith_arxiv_id":"1606.08415","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Gaussian Error Linear Units (GELUs)","venue":"cs.LG","work_id":"0466fd22-03a1-4a61-af0a-a900e77bb023","year":2016},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"cited_paper":"/paper/1606.08415","citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:3177c3380d5d200bc7c49b01a0b7b774d65d479e8f4dbafddbac9e7228c14224","observation_id":"03f58c04-76c3-47b3-b4e3-6a817d5628bb","resolution":{"observed_at":"2026-05-12T07:42:07.984966Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"On the Expected Complexity of Maxout Networks , booktitle =","venue":null,"work_id":"f4fb2d60-8cb7-4c23-935d-0619009db329","year":null},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:972d0fe5e0679603144471e0a2fc5c3b9c42457cdac14b0a38ae69e105b5c1db","observation_id":"b897bf87-66eb-4167-b14d-d7ee448cdf6a","resolution":{"observed_at":"2026-05-13T00:06:58.100020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"691470f2-05cb-4805-a09d-5da12537b732","year":2023},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:7f953742d0bb6d578cdbf760623d8d34f59348d40b57f2744bd11575def58424","observation_id":"ca2dce54-3c30-44b5-a22c-fbc28ebc8543","resolution":{"observed_at":"2026-05-13T00:06:58.096449Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Baraniuk , title =","venue":null,"work_id":"64b3eb6c-d175-412d-8980-254782a018e9","year":2023},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:92454b3af2f75017c7c3ae1f5deac84ba9104bc2a6816a8d36e7007a3eb11d98","observation_id":"09790466-5aee-4c36-a186-4e7a188649a2","resolution":{"observed_at":"2026-05-13T00:06:58.111607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Neural Networks , volume =","venue":null,"work_id":"8762ac59-e4b2-4447-b14d-da9c2c1c969e","year":2023},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:c49d50070e6645b39a058365a133d569f567a0c091e80de54630064853e1171b","observation_id":"0c8396a4-1904-4778-bca6-5b2febc2a38a","resolution":{"observed_at":"2026-05-13T00:06:58.121600Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7995a891-af4c-4177-b3b1-663e61a49b6c","year":2024},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:2297d3b450a857833f183325c9d952d2651f9f99ec1c93da031db1cd1b9f7eae","observation_id":"2d54d51f-d83e-4a8b-b979-2e5c624c70d3","resolution":{"observed_at":"2026-05-13T00:06:58.105194Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"82ee73cd-6276-4ca9-8658-ec3f33b088c6","year":2023},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:4a95e19f98e6ca4aca15ae8eba5a9e8b96b894c0b9bf0deb49ad275c3ac5f9fb","observation_id":"07326240-f042-43ab-bde8-3fda86de9021","resolution":{"observed_at":"2026-05-13T00:06:58.102653Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"On the Local Complexity of Linear Regions in Deep","venue":null,"work_id":"a552c9f0-bc12-448c-8b85-35e53449d92a","year":2025},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:a16becba37996c2fc0f6f0a15851046c75e24642f0dc48411d1b507012476d5f","observation_id":"2c2c1c70-41a2-4c91-8b48-9b149dbe3052","resolution":{"observed_at":"2026-05-13T00:06:58.007342Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Advances in Neural Information Processing Systems , volume =","venue":null,"work_id":"8a7674fa-4597-47ef-9356-d151e057bda1","year":null},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:7290bd9351cc9c428ab653edb0a44c782f4568dff93017df013f1f832f12191f","observation_id":"dc280f7c-a306-416b-847a-323ac19a635d","resolution":{"observed_at":"2026-05-13T00:06:58.022047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Elisenda Grigsby and Kathryn Lindsey , title =","venue":null,"work_id":"77b8d0f1-4574-4204-a0ee-e65f556230cd","year":2022},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:dc431b4eb8620ee052dd300765d7e84b15162b4c267212ea0fae575e8d62042c","observation_id":"c98bcc4e-fcb2-4aa9-85e5-b46dc860eafc","resolution":{"observed_at":"2026-05-13T00:06:58.090227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7b1420cf-1c3e-4c6e-a6a9-8d5aeef712f0","year":2024},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:ed0ad51d32a708ffa6255c370cea580d6d6ce234f2c0bf6ef21faac5ea6dd9d1","observation_id":"8da5dccb-37c3-4369-a39e-273885b67c2b","resolution":{"observed_at":"2026-05-13T00:06:58.014292Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Jeong and David Rolnick , title =","venue":null,"work_id":"4cf2733d-ac5d-4053-ba9a-c8af037cce73","year":2022},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:1a7049b03d4032d15238bab1f53d8f70592eac4aa9b8d11fea653519b788a7df","observation_id":"3dbfa990-b9c3-4832-a32b-342c986e93e6","resolution":{"observed_at":"2026-05-13T00:06:58.018521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3837b59f-42b2-4a53-a31d-f92a49313b03","year":2022},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:f920fc452c925745af951edbab9aa0e4b2cdc9a203043836d57cf80d2c0765e4","observation_id":"a49a2818-adc7-4e98-b356-6ac16e1b743f","resolution":{"observed_at":"2026-05-13T00:06:58.028738Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Advances in Neural Information Processing Systems , volume =","venue":null,"work_id":"4e6b3835-50c9-4370-8cbf-43547df326f1","year":null},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:6429a904aaa54d5f5e1089ca68b3fcbeba30b907b1da6bcc8dfdd3ccf52dfab7","observation_id":"29d2b71c-730f-4bef-a6d6-66df912609c2","resolution":{"observed_at":"2026-05-13T00:06:58.051372Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Kording , title =","venue":null,"work_id":"053e994f-2a51-449d-b038-38c1d3744ac3","year":2020},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:80243769b428abcb488aeace3dbb53599d437b83fc71a89c628ad352f10c5963","observation_id":"f7ae7e51-7e45-4718-ad97-9f2421ef6eaa","resolution":{"observed_at":"2026-05-13T00:06:58.057457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"cb5f795a-17f8-4d64-8b9b-5c85e09dc200","year":2020},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:7f4ecb663f00e607f82ba48483f65d354061c7005d81835db4007648e774328e","observation_id":"bc972993-2018-45d1-a956-be424c19d098","resolution":{"observed_at":"2026-05-13T00:06:58.086681Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1034b757-334b-453f-87e0-f72de86238e8","year":2021},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:39df505a9143011da5c4eceb79c566606318c81031e1f195c92dfa2d9818ec1c","observation_id":"b0c2ccb0-9e54-4626-932d-b8e18209b329","resolution":{"observed_at":"2026-05-13T00:06:58.047988Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Journal of Computational Mathematics , volume =","venue":null,"work_id":"c72d8b52-bba6-4fb4-bdc8-6229eaabeded","year":2020},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:9fcc9e27496e0492066b5dfe0a9bc0634b3aaaab44397c19d2fe6f8bda13d8a8","observation_id":"4045ca02-66c3-4da2-8f8d-4c3645fd59eb","resolution":{"observed_at":"2026-05-13T00:06:58.044472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"2023 , doi =","venue":null,"work_id":"aa5924e8-9085-4f94-8e8b-c89449dcd1c2","year":2023},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:eb701d0c92418072a12f961d4505974f5e9347149e21314ef191cccf569a9801","observation_id":"7f332d6d-e99d-4e9c-9d75-7ba23ad51798","resolution":{"observed_at":"2026-05-13T00:06:58.025465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Rao , title =","venue":null,"work_id":"12e062d5-9afc-4e56-b36d-0dbc9cff7b78","year":null},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:6a897eaf6872a4237faf239b1f3acde9e33bd9c41a8b5585cc943ddfa3907783","observation_id":"7a9dcfde-2a85-4e81-8881-09b425f0e404","resolution":{"observed_at":"2026-05-13T00:06:58.074464Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6c0967da-4d57-480e-9607-aeaac610a704","year":2023},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:577d367860f11266de99716260b55bdc083090f9ad643f65b969d9db7df29405","observation_id":"0bc19797-5c11-4833-a193-88940afa6c2e","resolution":{"observed_at":"2026-05-13T00:06:58.060654Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6713952b-49ca-4f57-96e5-c110a5de76b9","year":2025},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:f773c6fc865dd0490c022fdb735b758d67dd8b06b474b516e670d6150d12f69a","observation_id":"3321dcb1-899b-4f7a-abeb-0cab12a3f970","resolution":{"observed_at":"2026-05-13T00:06:58.054509Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"2022 , doi =","venue":null,"work_id":"db4240f7-5860-4603-a80a-b050a527a0e1","year":2022},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:66ef72b2eefd3c821ac30bc1935a48e5aa9f5f67640bfb3321df16bdb60a1050","observation_id":"0faf2e50-fdb8-44e9-9aa5-771a866d0f3c","resolution":{"observed_at":"2026-05-13T00:06:58.064243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"Laine , title =","venue":null,"work_id":"6ba1cc54-849b-4a8b-9597-0e1914c76b16","year":2025},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:0636b2d1a9a96887368c11800dbbda89f08fdb7ca4db8bfc8f78fce792c2083d","observation_id":"2abf17aa-977b-4e76-bf0e-7408853afdef","resolution":{"observed_at":"2026-05-13T00:06:58.129348Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-11T03:47:54.372474Z","title":"Proceedings of the IEEE conference on computer vision and pattern recognition , pages=","venue":null,"work_id":"da360c40-6481-4088-bd96-8e73e0280a6b","year":null},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:d047e82500c6a97c9a6959bc17bb58940ec869522ed2ba3f8812e26d88f13969","observation_id":"2655dfca-2783-468b-bc4d-4e460b76b154","resolution":{"observed_at":"2026-05-13T00:06:58.040299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-06T17:42:44.000479Z","title":"International conference on machine learning , pages=","venue":null,"work_id":"35543f21-3d84-4b03-9c92-cd5d72edf6d1","year":2015},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:8785a22f7958848dde456e1d8126e74c0183fd5e39bf7ad94f5bb18e027a2553","observation_id":"0b8a2c09-cddc-4fd5-b50b-0a5d99170f80","resolution":{"observed_at":"2026-05-13T00:06:58.068138Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-11T03:47:54.543821Z","title":"2009 IEEE conference on computer vision and pattern recognition , pages=","venue":null,"work_id":"0287b3d7-3294-4d36-bdf0-64add6c6c84b","year":2009},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:4cc54bdc6b5f6749f96741d4563b9cfa3ade7bf09409a8cc7451cd97e8a19860","observation_id":"b5a22f6a-0a5f-41a5-bd42-499361d00854","resolution":{"observed_at":"2026-05-13T00:06:58.108337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.1556","last_updated":"2015-04-10T16:25:04Z","snapshot_observed_at":"2026-07-06T03:53:32.549552Z","submitted_at":"2014-09-04T19:48:04Z","title":"Very Deep Convolutional Networks for Large-Scale Image Recognition","version":6},"cited_work":{"arxiv_id":"1409.1556","doi":"10.48550/arxiv.1409.1556","metadata_source":"pith","pith_arxiv_id":"1409.1556","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Very Deep Convolutional Networks for Large-Scale Image Recognition","venue":"cs.CV","work_id":"1c4b4409-c14b-488b-a086-c57a5aab8a29","year":2014},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"cited_paper":"/paper/1409.1556","citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:dfede4f2bc60fd2782391867ecbeb599fa6f08e4bb066a053050cf4464321e33","observation_id":"5a75d5f9-302b-4fda-af83-f97f1ca236c3","resolution":{"observed_at":"2026-05-12T07:42:08.216169Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-07-12T23:51:07.915518+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T23:51:07.915518+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.11929","last_updated":"2021-06-03T13:08:56Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2020-10-22T17:55:59Z","title":"An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale","version":2},"cited_work":{"arxiv_id":"2010.11929","doi":"10.1175/jcli-d-22-0357.1","metadata_source":"pith","pith_arxiv_id":"2010.11929","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale","venue":"cs.CV","work_id":"e96730e3-129b-4db6-b981-15ab7932e297","year":2020},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"cited_paper":"/paper/2010.11929","citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:8a9e64b8921485bef63fd1d14ee7e7f2314e768ebc26a075ffc5bfa6b07291bc","observation_id":"e0912b0a-9a5c-4d28-b505-8b7fdb75d93e","resolution":{"observed_at":"2026-05-12T07:42:07.916190Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-10T21:57:47.712205Z","title":"nature , volume=","venue":null,"work_id":"e6b92db6-c2c1-4e28-9c46-8d7bfebba8f1","year":2015},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:d41266346438a13e339639a0e28ae316e8c31a5469bbbf74da9c3ee5590adbd2","observation_id":"8174ffdc-6f7d-4ae7-8e5e-e1c3badbc6dc","resolution":{"observed_at":"2026-05-13T00:06:58.032706Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"2013 , publisher=","venue":null,"work_id":"e3c0630a-a92e-48f8-a94b-d3daa54323b4","year":2013},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:1c875e43798f675171f6f61aa5a1f60a20e6137384f07fff6adb9a47c5a12527","observation_id":"f18bbc8f-775b-410a-9423-b679aac6541f","resolution":{"observed_at":"2026-05-13T00:06:58.114539Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-10T17:37:26.304487Z","title":"the Journal of machine Learning research , volume=","venue":null,"work_id":"7f2543e1-055a-4bb8-b693-9ae31c0847e4","year":2011},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:bf11776d066b9aa32c31c4d7f0db2eb40f48ec9f4aa011ec097b065c4ea68b45","observation_id":"1e5b0b61-4eff-4bc0-914a-52e5cadfad6f","resolution":{"observed_at":"2026-05-13T00:06:58.117904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"International Conference on Neural Information Processing , pages=","venue":null,"work_id":"100af362-ce56-4dbf-940b-c0a0ffa7f13f","year":2023},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:c0dfdd5575d78034810fef4b7b3e36106df1b84c0d0392cfd784afcd47d91113","observation_id":"ab719dfa-6763-4991-b4ba-30f3f93580e8","resolution":{"observed_at":"2026-05-13T00:06:58.010875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-06-05T21:23:00.469572Z","title":"International Conference on Artificial Neural Networks , pages=","venue":null,"work_id":"afe51ea9-130c-45da-b918-37ee91f6592a","year":2023},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:2cfd90b8a7d9e1419d6bf7d2f8974458fd5ce787dbd110f4d8dd0ea4aad24cb2","observation_id":"0bb2055b-19ad-4a62-a53c-4cc84d2ac2eb","resolution":{"observed_at":"2026-05-13T00:06:58.036599Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.18725","last_updated":"2023-11-07T04:44:14Z","snapshot_observed_at":"2026-07-06T16:39:56.348150Z","submitted_at":"2023-10-28T15:04:53Z","title":"The Evolution of the Interplay Between Input Distributions and Linear Regions in Networks","version":2},"cited_work":{"arxiv_id":"2310.18725","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.18725","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2310.18725 , year=","venue":null,"work_id":"4f903c4f-874c-4025-a90b-6d4bdb372dc2","year":null},"citing_paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-05-12T02:06:30.317027Z"},"links":{"cited_paper":"/paper/2310.18725","citing_paper":"/paper/2605.06300"},"observation_digest":"sha256:71e49469307daadf41001a14042cf0ff983bed43c11ed696eae4136b5ebe5849","observation_id":"46a77a01-0a99-476f-9ebf-1954e0a9173a","resolution":{"observed_at":"2026-05-12T07:42:08.089499Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2605.06300","last_updated":"2026-05-09T16:04:30Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T23:18:46.145104Z","submitted_at":"2026-05-07T14:05:01Z","title":"Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":0,"metadata_mismatch":3,"parse_uncertain":0,"unresolved":9,"verified_exact":1,"verified_fuzzy":28},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2605.06300."}