{"as_of":"2026-08-20T20:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:500041babb0b02421b1053ebfb1daabeac33b5c0830779c08a7911ce8b01dc07","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T23:22:54.852148Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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/2501.18503/citation-record","integrity":"/paper/2501.18503/integrity","json":"/paper/2501.18503/citation-record.json","paper":"/paper/2501.18503"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:22:55.732096Z","title":"Bosse, (Almost) matrix-free solver for piecewise linear functions in abs-normal form , Numerical Linear Algebra with Applications, 26 (2019), p","venue":null,"work_id":"4581353d-5a42-48f9-93cf-e637bc074299","year":2019},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.729203Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:7ad128ecda8ee5f984ac65d0666eab9cbd0b19e5688f693e1ecfee273d5b2c47","observation_id":"691f00dc-d87c-4e70-9384-3574a5bff418","resolution":{"observed_at":"2026-08-09T23:22:55.736837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.717473Z","title":null,"venue":null,"work_id":"4a35fed0-73f8-4c66-8455-e9ae15729980","year":2021},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.735443Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:3100d4179ec4bae4e1cbbabd490e97bf37dc69dc7fe9d135ef2231d3ea0d12b4","observation_id":"700aaed1-b13d-4981-8f83-f2cc80e90340","resolution":{"observed_at":"2026-08-09T23:22:55.722323Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.701506Z","title":null,"venue":null,"work_id":"3edc9a21-0220-4abc-8166-48874f83467b","year":2009},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.740585Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:64732eccb5b9cf1dfa84fe9bde3fb6e2dd868bb009072c3531f3ddaf2b943d76","observation_id":"099e97f5-48a8-4019-b94e-1e63ae2eaba1","resolution":{"observed_at":"2026-08-09T23:22:55.706327Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.687190Z","title":null,"venue":null,"work_id":"8b92a3fb-c0b8-4a60-9166-bd52ad37e020","year":1995},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.746158Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:c8db58fa9f154fe99da45713b794de13d2a92057f70f343cf2c45eef2426c48f","observation_id":"a78428d7-7acf-4c78-a29c-d451c55876e7","resolution":{"observed_at":"2026-08-09T23:22:55.691682Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.671584Z","title":null,"venue":null,"work_id":"99a57db6-0469-429c-a2fb-17aba7ebf8ce","year":1999},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.751656Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:97ddbd937230fe70724cbde3351b87d4081b1d76610dd0ea0275278e8ec2b4a9","observation_id":"aaa6c2bf-3eda-4f80-8c6d-8bcd1b9e39f8","resolution":{"observed_at":"2026-08-09T23:22:55.677203Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.656821Z","title":"Fiege, A","venue":null,"work_id":"0a9abbd5-b6ba-4268-823d-1c2f2f9dad33","year":2018},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.756781Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:ef38c6cf6de673e825ec4038d1b38567768982b88cfc23d48e3046dc1fa90f60","observation_id":"830697dc-3936-4c96-9ad8-adf31c9d0f2d","resolution":{"observed_at":"2026-08-09T23:22:55.661556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.641595Z","title":"Fukushima and J.-S","venue":null,"work_id":"e3deee97-f382-4eb6-b028-10e5b7e40ea5","year":1998},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.762172Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:c473af7a8abeeb562a5583d6e20163f5cf0993ffde31b887045cf057f0fc0db6","observation_id":"cf50084c-b9e4-4c84-8aef-0481b3cbe0c7","resolution":{"observed_at":"2026-08-09T23:22:55.646466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.625881Z","title":"Griewank, On stable piecewise linearization and generalized algorithmic differentiation , in The 6th International Conference on Automatic Differentiation, Colorado, 2012","venue":null,"work_id":"f12cf290-56b4-4e01-a0ff-fb64d0003829","year":2012},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.767262Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:edf37a009469054f27a700be178ca1a3745e2c44281a74ec992a628533a7df95","observation_id":"187f7af4-9ce9-4714-82eb-19fa139a865d","resolution":{"observed_at":"2026-08-09T23:22:55.631221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.611172Z","title":"Griewank, J.-U","venue":null,"work_id":"4cbc1881-9d9b-450b-899c-2fa022e33dcc","year":2015},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.772309Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:bca147b8194b0d519afb6a231641a42f45e3416d86b15e6c46a31347e3721b40","observation_id":"d881099b-908f-4ffc-8646-5e9455404f8a","resolution":{"observed_at":"2026-08-09T23:22:55.615731Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.561896Z","title":"Griewank, A","venue":null,"work_id":"3118c925-cc87-4a5c-bf43-a32922ff753d","year":2016},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.776886Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:84b83de6f72b4de7ef7b33acf5ccd9b2d1c0916111e64940f7b6f1c84f1d5744","observation_id":"6b300aba-bea2-4ca5-87d3-e9e2c1309293","resolution":{"observed_at":"2026-08-09T23:22:55.600523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.463209Z","title":null,"venue":null,"work_id":"55ab3dd5-4b06-4ff7-909e-9163c274b65e","year":2020},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.781531Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:f6b67d7cc2ce9b545b1fa581f7ef9d648111eb6319d8df135ea7a76e51238411","observation_id":"065c8d8f-6570-447a-a935-d9b67d50bec1","resolution":{"observed_at":"2026-08-09T23:22:55.525533Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.388425Z","title":null,"venue":null,"work_id":"cdd580db-69a4-4330-9137-fbdf15dbd9b5","year":2020},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.786369Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:6052c3e2a464d4d67f4a964ae650df433be54c26abca6ac45e828ad1863ad0b0","observation_id":"81f14f08-fd4a-470a-8780-2a357faf59ba","resolution":{"observed_at":"2026-08-09T23:22:55.406814Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.373189Z","title":null,"venue":null,"work_id":"893be8ec-0edb-4a08-b9b6-a53f46f762e4","year":2012},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.791211Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:c5dea66ad0d0ee1e189fb08e5956ec5240b47b11d340dca38c36fc2a658490d4","observation_id":"f9d6c861-1a68-4ca5-a70f-97b75b362e9c","resolution":{"observed_at":"2026-08-09T23:22:55.378837Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.357702Z","title":"Kazda and X","venue":null,"work_id":"f5022e8f-6636-4c26-b257-652b9fd00afa","year":2021},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.796144Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:8a9a69acae3485d6a24b4973d12511275157834a42c55d3e564ef81e95146557","observation_id":"ea57d06a-810a-4738-8df6-461c869fe7f9","resolution":{"observed_at":"2026-08-09T23:22:55.362563Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.343665Z","title":null,"venue":null,"work_id":"7fca30df-3882-45ab-9cd3-741491f8a5eb","year":2012},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.801090Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:47baa1f9ee63c106093f562a052117a9b34919a6928fbafb4819ea30374b86ef","observation_id":"6c0147c3-64e8-4e1e-9c52-9c46e1226922","resolution":{"observed_at":"2026-08-09T23:22:55.348006Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.328656Z","title":"Kubota, Enumeration of subdifferentials of piecewise linear functions with abs-normal form , Optimization Methods and Software, 33 (2018), pp","venue":null,"work_id":"f6b1789d-b66c-4053-bdea-b91f0c60f39b","year":2018},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.805747Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:439d731a90cb7c0c6c3117d6b1c4b21f8a62f96bd2d3fcfd1a6d8643a630a0b2","observation_id":"28bb0f3d-c5f3-495e-9f8f-eb3bde72123d","resolution":{"observed_at":"2026-08-09T23:22:55.333476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.313829Z","title":"Kwon and O","venue":null,"work_id":"676420e7-447d-4c91-8e72-4e1d2f456aa3","year":2024},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.810441Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:9290ed1e94ec01e90857710fd1c8aa5f7eafcd0d3768cc7db367a18a15976431","observation_id":"e1a7189f-8979-4bc1-a169-1b2bac5a9cb8","resolution":{"observed_at":"2026-08-09T23:22:55.318610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.299364Z","title":"Lubin, O","venue":null,"work_id":"c16c101c-cdee-4429-ba97-5afd1dd4956a","year":2023},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.815250Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:e4e21ef8bc4de93d934fa041ad5ba7e9064c8e5211548cfd29c46d5fdc1bb131","observation_id":"3228fe84-e64d-4af4-8f24-18f8b9cfc331","resolution":{"observed_at":"2026-08-09T23:22:55.304041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.284375Z","title":null,"venue":null,"work_id":"f4c75546-aa67-4f09-bc82-995fabcbdd26","year":1988},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.820174Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:b571f41e3fd5100a08577fa86ffdce55ebb877de5b44b44084d0c05c9c3d7f4a","observation_id":"b542440d-4416-4eea-8eb6-c081a0f9db30","resolution":{"observed_at":"2026-08-09T23:22:55.289030Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.270436Z","title":null,"venue":null,"work_id":"91de59cc-6ed2-4b26-969d-ac2812756c7a","year":1998},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.824506Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:492eba06ca6be35108e03358b097e28e762853c3a2fcb107395bcfd51a177cfe","observation_id":"0457c545-8182-45ea-bccd-e63c2475b6f7","resolution":{"observed_at":"2026-08-09T23:22:55.274450Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.254827Z","title":null,"venue":null,"work_id":"f7fb212b-9f04-4f3e-8f67-6eec13a79d23","year":1996},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.829043Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:7a6e8e7eb03b43e29b1a3cc0a1282c585271007f3558b2025fdc08b6f2f55a62","observation_id":"1a4a35f8-eaf7-4545-8756-d812f24a6e7d","resolution":{"observed_at":"2026-08-09T23:22:55.260219Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.238374Z","title":"Scholtes, Introduction to piecewise differentiable equations, SpringerBriefs in Optimization, Springer, New York, NY, 2012","venue":null,"work_id":"67a320ba-52b3-46db-9509-b8b653396108","year":2012},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.833942Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:38c4c5ecfa03f15e69e81eb912e659a80f0daca13a98b7d341976f03ec2dd40e","observation_id":"bce60731-b962-4971-b5b8-11aa58f2e094","resolution":{"observed_at":"2026-08-09T23:22:55.243995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.171200Z","title":"Siebert, J","venue":null,"work_id":"f81a881d-0c37-49c4-a335-8fe46f77a16b","year":2024},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.838254Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:34c44d95549faa45a55770ac73980a607f3bd95ab0a3310e3608fb357b11ffc0","observation_id":"e7f01648-88d7-406b-a842-06716a86fbe5","resolution":{"observed_at":"2026-08-09T23:22:55.208444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:55.070620Z","title":"Streubel, A","venue":null,"work_id":"be00f342-4e18-498f-ad27-557d0713d729","year":2013},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.842636Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:12a4f623f568c8c0b3e2a55a835ea673b939db063df4e5ac70b14809fa800014","observation_id":"e588b2d4-8868-41ec-8934-9edd32968587","resolution":{"observed_at":"2026-08-09T23:22:55.114439Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:54.983725Z","title":"W alther and A","venue":null,"work_id":"7bdba519-fc5b-4a8c-884a-fbadda1424a0","year":2012},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.847500Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:97aacc268affec7c3aa2aabc6725dced29a958ecf6d347029bf2b56a2dbaba88","observation_id":"5c347c1c-002f-4a3e-8bc8-6172506c0abe","resolution":{"observed_at":"2026-08-09T23:22:55.019812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-09T23:22:54.895809Z","title":null,"venue":null,"work_id":"14f05aab-36da-476c-b6dc-7a990a57609e","year":2016},"citing_paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T23:22:54.852148Z"},"links":{"citing_paper":"/paper/2501.18503"},"observation_digest":"sha256:0d2ceba0e5b0ab3dca34af7763e20199774b138e00dbf7b2ea6dffc7681cce3c","observation_id":"20b21cb4-030a-40cd-9ed1-88b1ca421de8","resolution":{"observed_at":"2026-08-09T23:22:54.933964Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.18503","last_updated":"2025-01-30T17:13:07Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-13T15:02:06.702253Z","submitted_at":"2025-01-30T17:13:07Z","title":"New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":0,"verified_fuzzy":14},"total_outbound_references":26},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2501.18503."}