{"as_of":"2026-08-21T13:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:02646958321b2afcabd62343b797211b4ada109b3f05745bf82fda3ed50e29a0","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T11:54:07.087929Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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":"2026-05-13T17:51:29.832500Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-13T17:53:05.011955Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"cited_work":{"arxiv_id":"2504.14356","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.14356","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Mathe- matical Programming Models for Exact and Interpretable Formulation of Neural Networks","venue":null,"work_id":"552be5b1-0fb1-4baa-a5b9-b12c0ce09f63","year":2025},"citing_paper":{"arxiv_id":"2604.16426","last_updated":"2026-04-04T17:50:07Z","snapshot_observed_at":"2026-08-15T07:37:41.798158Z","submitted_at":"2026-04-04T17:50:07Z","title":"Functional Similarity Metric for Neural Networks: Overcoming Parametric Ambiguity via Activation Region Analysis","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-13T17:51:29.832500Z"},"links":{"cited_paper":"/paper/2504.14356","citing_paper":"/paper/2604.16426"},"observation_digest":"sha256:0441939f925d2dd6447c20455908e945e660bf4f16f935cf15eddccd28bcc14b","observation_id":"17eb4842-3047-4b35-a2b1-4bd935abf28f","resolution":{"observed_at":"2026-05-13T17:53:05.014666Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2504.14356/citation-record","integrity":"/paper/2504.14356/integrity","json":"/paper/2504.14356/citation-record.json","paper":"/paper/2504.14356"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.316271Z","title":"Nature Machine Int elligence 1(5), 206–215 (2019)","venue":null,"work_id":"51314c87-d589-46a7-85ab-b984e532350d","year":2019},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.019340Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:002b7469e281e7d4917789f18050b6dacdbeb7a41bb2b995bb01dad002a15a69","observation_id":"7c9cebfc-27e7-4a8f-97b1-e2a6fd983908","resolution":{"observed_at":"2026-08-16T11:54:07.320096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.305486Z","title":"Communication s of the ACM 61(10), 36–43 (2018)","venue":null,"work_id":"5ed2839b-a70f-4715-9e86-84a2391af8a9","year":2018},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.024007Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:55b85ec90673a9b004be7f74761e149059c692fdd6b360e4dc8feadac779e065","observation_id":"17ff5ef4-738f-4d21-9fb8-a57f314bbed4","resolution":{"observed_at":"2026-08-16T11:54:07.309240Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1312.6034","last_updated":"2014-04-19T11:54:52Z","snapshot_observed_at":"2026-08-17T14:45:30.096775Z","submitted_at":"2013-12-20T16:45:54Z","title":"Deep Inside Convolutional Networks: Visualising Image Classification Models and Saliency Maps","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.6034","snapshot_observed_at":"2026-08-16T11:54:07.028134Z","title":"arXiv p reprint arXiv:1312.6034 (2013)","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.028134Z"},"links":{"cited_paper":"/paper/1312.6034","citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:7e8222bf99d576690a3483f507b8117853d3b751f5eee5490e57068ccf0bb2be","observation_id":"bc3f2b04-5f73-4288-b641-b9ba0a80599f","resolution":{"observed_at":"2026-08-16T11:54:07.028134Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.294366Z","title":"In: Proceedings of the 22nd ACM SIGK DD Inter- national Conference on Knowledge Discovery and Data Mining, pp","venue":null,"work_id":"3362a3b5-1330-49dd-a557-4442595d3eb3","year":2016},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.032295Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:e60b177274df5482019bc93b3f5103c77a045d3d60b01a565a8a02fbf3218eb2","observation_id":"648bcb4a-d4a3-4ca3-8f74-8eeddd4bb37f","resolution":{"observed_at":"2026-08-16T11:54:07.298448Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.282796Z","title":"Advances in Neural Information Processing Systems 30 (2017)","venue":null,"work_id":"c8319a1d-c2b9-4a6e-b5de-27c62c6b4652","year":2017},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.036557Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:20ed51487f85f97f4f16539e19e7d0704120e82609cb00c0a44a9129f3b24f2b","observation_id":"1c627432-f079-439a-9c15-69ccb553b8f1","resolution":{"observed_at":"2026-08-16T11:54:07.286874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.271965Z","title":"Knowled ge-based Systems 8(6), 373–389 (1995)","venue":null,"work_id":"67654b2c-92c5-4566-9288-1d7308a7becf","year":1995},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.040666Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:98e96f1fc7ac03f660553b3c077fc2c11747a530d936be9bfab0c7e5b7813c88","observation_id":"2907f48a-cd53-4628-8856-9c96cfd1bd8b","resolution":{"observed_at":"2026-08-16T11:54:07.275674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.260152Z","title":"FLAP 6(4), 611–632 (2019)","venue":null,"work_id":"e4c65af8-6dbe-482c-93e2-98ab1933470a","year":2019},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.044880Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:391fba73c273b362d1eeb6984f746fb54d320e38d36ad6714d91f80b77b593f5","observation_id":"8d7ae7d0-adee-435d-b6d1-fa46d9eaae64","resolution":{"observed_at":"2026-08-16T11:54:07.264279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.00149","last_updated":"2016-02-15T06:25:40Z","snapshot_observed_at":"2026-08-04T16:59:47.843960Z","submitted_at":"2015-10-01T09:03:44Z","title":"Deep Compression: Compressing Deep Neural Networks with Pruning, Trained Quantization and Huffman Coding","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.00149","snapshot_observed_at":"2026-08-16T11:54:07.048316Z","title":"arXiv pr eprint arXiv:1510.00149 (2015)","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.048316Z"},"links":{"cited_paper":"/paper/1510.00149","citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:39e7f671845728d7c3d5edd1258235b72516b39cd3e5a712f9806df8b87187ad","observation_id":"7dfe46cc-98ac-485b-a84a-50313d18f4c9","resolution":{"observed_at":"2026-08-16T11:54:07.048316Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.247678Z","title":"In: Adva nces in Neural Information Processing Systems, pp","venue":null,"work_id":"11e9c8f0-769b-4450-a23f-8d8ca0a71e24","year":1990},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.052021Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:06aefc2a49eef6a9f42282e42b75e8d45d2d8efd7f5890839cd7ecce93b224d1","observation_id":"283825c3-ddbf-4d7b-9cc4-1fbcdf724107","resolution":{"observed_at":"2026-08-16T11:54:07.251825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.07356","last_updated":"2019-02-18T04:39:10Z","snapshot_observed_at":"2026-08-17T22:18:35.161858Z","submitted_at":"2017-11-20T15:05:33Z","title":"Evaluating Robustness of Neural Networks with Mixed Integer Programming","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.07356","snapshot_observed_at":"2026-08-16T11:54:07.055581Z","title":"arXiv preprint arXiv:1711.07356 (2017)","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.055581Z"},"links":{"cited_paper":"/paper/1711.07356","citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:9e3ae8c8d0ccf6128a83142d001c1bfb4c1a8e23e51b2d6693148c4fbe824ba9","observation_id":"471b8289-061b-4271-978b-fc92cd28b0db","resolution":{"observed_at":"2026-08-16T11:54:07.055581Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.235483Z","title":"In: International Confer ence on Machine Learning, pp","venue":null,"work_id":"953efe45-9876-4271-8965-f99b86559673","year":2020},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.060103Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:061cd2c0876fe40e57945f4e424bffcc450cb53fa86ba4dec927d932a86ebe0f","observation_id":"781240d6-0a13-4496-89a0-0aa384314a72","resolution":{"observed_at":"2026-08-16T11:54:07.239866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.223961Z","title":"Mathemat- ical Programming 183(1), 3–39 (2020) 19","venue":null,"work_id":"a9040253-9d3c-48ff-ac4b-cfa239a19e62","year":2020},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.063648Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:a68912abc423b2aad7bcdbdd4d5f16b7fc7957de1f2cb7dc98c51aa095546d32","observation_id":"6ad42eb6-9573-4f32-9206-01f2fd92c8d9","resolution":{"observed_at":"2026-08-16T11:54:07.227567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.13349","last_updated":"2021-07-29T13:41:25Z","snapshot_observed_at":"2026-08-16T18:56:28.610181Z","submitted_at":"2020-12-23T09:33:11Z","title":"Solving Mixed Integer Programs Using Neural Networks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.13349","snapshot_observed_at":"2026-08-16T11:54:07.067165Z","title":"arXiv preprint arX iv:2012.13349 (2020)","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.067165Z"},"links":{"cited_paper":"/paper/2012.13349","citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:f4e53bb3041832c61bd945ff98aa349870096de722932abc8144bc5168804e26","observation_id":"67e65e3a-c57e-4498-9fdf-16040064c482","resolution":{"observed_at":"2026-08-16T11:54:07.067165Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.212061Z","title":"Chemical Engineering Research and De sign 88(1), 55– 60 (2010)","venue":null,"work_id":"c67d5d14-eb59-4e20-b27e-63bb590ef64a","year":2010},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.070755Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:fcd2ee86e605b02c35d3d2f7d377d6b978eb0675dfc20a30fc933da574b1d2a8","observation_id":"d0c58dde-c8a3-40f7-81d2-c043b3371273","resolution":{"observed_at":"2026-08-16T11:54:07.216253Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.200863Z","title":"Plos one 18(2), 0261029 (2023)","venue":null,"work_id":"83eb2e95-a014-40a4-b707-c4b311cb72b5","year":2023},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.074023Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:b8a3dc7c475ae44512e9c708f98e5660b816f0914c16e8517191b9495ab8cb69","observation_id":"50058438-fa26-477b-8bdf-645294779dfc","resolution":{"observed_at":"2026-08-16T11:54:07.204349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.189256Z","title":"IEEE Transactions o n Automatic Control 68(12), 7514–7529 (2023)","venue":null,"work_id":"5592eeac-91c5-4846-9b41-82db7d666bdd","year":2023},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.077805Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:95c07815f90329e7ac4e37ff8b428735887f9d9f17285cf9c21ea63597a0b631","observation_id":"931957d0-0a88-41d4-a595-fedfc2aaede3","resolution":{"observed_at":"2026-08-16T11:54:07.193682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.178358Z","title":"Constraints 23, 296–309 (2018)","venue":null,"work_id":"bb358121-510a-465c-b26b-00a766c7f62b","year":2018},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.081252Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:13c89bd46aa235d320aaa79b9d638a74637dc9fde97f8da8b53c7daa499409a7","observation_id":"e6e25f69-9f12-42bd-972f-4e514bea4d0b","resolution":{"observed_at":"2026-08-16T11:54:07.182108Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.167670Z","title":"In: International Conference on Artiﬁcia l Intelligence and Statistics (AISTATS) (2022)","venue":null,"work_id":"8f407e4a-d8b0-4d71-aa24-3054f827727b","year":2022},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.084611Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:dda729be960847bb4f83fb31e4b00f000e0f01eb89a9cfbb4d7383a2d871104a","observation_id":"9c1773c1-021d-4847-951b-e900ba02d050","resolution":{"observed_at":"2026-08-16T11:54:07.171554Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:54:07.154382Z","title":"In: Pr oceedings of the AAAI Conference on Artiﬁcial Intelligence, vol","venue":null,"work_id":"7ac21eca-7371-48bc-a77a-3ab8808c26b1","year":2020},"citing_paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:07.087929Z"},"links":{"citing_paper":"/paper/2504.14356"},"observation_digest":"sha256:aed0b39895c68cf5227f76301797c337c1e4cb34f2f3f187de72e897c2777a30","observation_id":"87a999a6-7b2e-46b2-93e1-fb028fb78c03","resolution":{"observed_at":"2026-08-16T11:54:07.159370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2504.14356","last_updated":"2025-04-19T16:50:17Z","latest_version":1,"primary_category":"cs.AI","snapshot_observed_at":"2026-08-19T04:54:32.271097Z","submitted_at":"2025-04-19T16:50:17Z","title":"Mathematical Programming Models for Exact and Interpretable Formulation of Neural Networks"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":15},"total_outbound_references":19},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2504.14356."}