{"as_of":"2026-08-22T12:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:73fc9e09d7410f35f7e8dcd3588aa422759a66129370a34cc904f7e3dd08a7ea","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T09:03:54.998200Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+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/2606.11967/citation-record","integrity":"/paper/2606.11967/integrity","json":"/paper/2606.11967/citation-record.json","paper":"/paper/2606.11967"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/3-540-48285-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Differentially uniform mappings for cryptography","venue":"Lecture notes in computer science","work_id":"04c90c22-89f1-47d3-824a-c080a03718b3","year":1993},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:39b00cdf4618daba934619865fa9c78acee87463b48d58075ffa21628a5d4b87","observation_id":"77e5c8c7-df77-47db-a171-250595f3598b","resolution":{"observed_at":"2026-06-27T09:10:47.003781Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-25T13:23:30.453679+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T13:23:30.453679+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf00630563","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Differential cryptanalysis of DES-like cryptosystems,","venue":"Journal of Cryptology","work_id":"dabe95fe-5f1f-4dce-a88e-df43c0131014","year":1991},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:6fe685356cb43326317a55d85326b8a844bc07513ad929cdc0c84a457077bbef","observation_id":"3bea0278-5800-4ee3-8873-d95fcb826c06","resolution":{"observed_at":"2026-06-27T09:10:47.009587Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1023/a:1008344232130","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Codes, bent functions and permutations suitable for DES-like cryptosystems,","venue":"Designs Codes and Cryptography","work_id":"4d02f417-50f8-422a-bb29-46d7000d5245","year":1998},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:8c484211feea911f014d03e7c199c36c46c9e73c702953306f05d90ee35a2b2e","observation_id":"e07b392e-c3bd-4577-9f79-e06e1d458d5d","resolution":{"observed_at":"2026-06-27T09:10:47.008670Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1968.105410","doi":"10.1109/tit.1968.1054106","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Maximal recursive sequences with 3-valued recursive cross-correlation functions,","venue":"IEEE Transactions on Information Theory","work_id":"1c7b1979-d82f-4e0d-9ace-3fc85ea76add","year":1968},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:d992ba14090e273cb411850a80a4b51a2ff83de9c678148b3bb78c32f63494e7","observation_id":"6fee2ae6-3c9b-404b-b033-a2565cc53c03","resolution":{"observed_at":"2026-06-27T09:10:47.011193Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0019-9958(71)90473-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The weight enumerators for several classes of subcodes of the second order binary Reed-Muller codes,","venue":"Information and Control","work_id":"48c28715-af5d-4ba9-a7fe-1ac9983c811d","year":1971},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:eada5635940c6a41f9a8d4a5bb1cd203743918692a74742ea2ca151ca2207d49","observation_id":"3fa15551-9575-4d67-86cd-4c36538705ca","resolution":{"observed_at":"2026-06-27T09:10:47.017054Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3934/amc.2009.3.59","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A new almost perfect nonlinear function which is not quadratic,","venue":"Advances in Mathematics of Communications","work_id":"e0698fc1-4df1-4abe-883c-35d39ca2fb7e","year":2009},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:b529cddf46ef3a4da79a8eb4d453ee0e51d322b78c34ccfc6c43e4579f0c6859","observation_id":"db5fb8f5-abfa-45e9-84a1-69179accecf3","resolution":{"observed_at":"2026-06-27T09:10:47.001329Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10623-014-9955-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A matrix approach for constructing quadratic APN functions,","venue":"Designs Codes and Cryptography","work_id":"31c24043-d559-4547-b784-904f7b23302e","year":2014},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:d2c63332e1fe4d0c01706771dda53ce283b921ec62ff9f0e6b755660550d8b8c","observation_id":"368333be-9638-4fc0-92b2-8b54e5ce887d","resolution":{"observed_at":"2026-06-27T09:10:46.997792Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T09:03:54.998200Z","title":"On quadratic almost perfect nonlinear functions and their related algebraic object,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:e8997a70b60a0a89d90c332cf23654555319ed03f11f39d85d09a04e91a406ea","observation_id":"328f2f60-47db-4c5b-b7cd-69feb259a6c3","resolution":{"observed_at":"2026-06-27T09:03:54.998200Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T09:03:54.998200Z","title":"On quadratic almost perfect nonlinear functions and their related algebraic object,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:91483f8e141167b1d9511a08eb8e9365a47896f6435e9e054bd0ee56ce63dd1c","observation_id":"84e31d23-43ac-4f77-8279-46aa93be8a05","resolution":{"observed_at":"2026-06-27T09:03:54.998200Z","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":"10.1007/s10623-018-00598-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"On some quadratic APN functions,","venue":"Designs Codes and Cryptography","work_id":"1a89c756-8c47-4683-a242-9356809f2f92","year":1973},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:d5240305139a3a45f13cd8f1449251ae92bd756f2e2ad9452ee475478fe63b93","observation_id":"15ad17df-a9ee-44a9-8401-2e2acec5b603","resolution":{"observed_at":"2026-06-27T09:10:47.007946Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2021.307153","doi":"10.1109/tit.2021.3071533","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Linearly self-equivalent APN permutations in small dimension,","venue":"IEEE Transactions on Information Theory","work_id":"d2da9fd8-1362-47f0-a41e-a220c26b3960","year":2021},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:5b4fb7548456f352c90b8af510ea0391a579085eaa7360812c4ef22a4f45d397","observation_id":"214de1d1-05c9-480f-81a4-f4e91c588838","resolution":{"observed_at":"2026-06-27T09:10:47.012311Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2021.312069","doi":"10.1109/tit.2021.3120698","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"New instances of quadratic APN functions,","venue":"IEEE Transactions on Information Theory","work_id":"02a06769-6e13-41f7-b287-6c792916f6b6","year":2022},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:24214a43fbe7c13f6aca14a2923880049ead9ac687e897b55a8b5bf42e373fb0","observation_id":"e19ae3fc-25fc-4461-aab1-4478e5a20e72","resolution":{"observed_at":"2026-06-27T09:10:46.995763Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10623-022-01024-4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Trims and extensions of quadratic APN functions,","venue":"Designs Codes and Cryptography","work_id":"2ca409bd-03c5-4a87-bff4-67ea9ce88a89","year":2022},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:fef9159fa3dd7eac1c2b21cf54cbd040e55942e569e3b55ff80a01dea7eef7ff","observation_id":"02fcf8c6-a55c-473a-b531-d5da6b4340b8","resolution":{"observed_at":"2026-06-27T09:10:46.999499Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5281/zenodo.16752428","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Millions of inequivalent quadratic APN functions in eight variables,","venue":"Zenodo (CERN European Organization for Nuclear Research)","work_id":"b989bbc2-13b7-4700-88b9-396c8536f05a","year":2025},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:3ff72fd162d82b670ffdb2a5cb2c45dab0893747f6db75aded18b13cc0115cee","observation_id":"d24ae1b2-a361-4720-8b41-3aa41ec2ec2f","resolution":{"observed_at":"2026-06-27T09:10:47.018824Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2022.316669","doi":"10.1109/tit.2022.3166692","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Recovering or testing extended-affine equivalence,","venue":"IEEE Transactions on Information Theory","work_id":"766840d2-4347-46e6-a1ad-9f2a3f59480c","year":2022},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:4af58163d91ec26815a81409f60822face23015f4bc686b4bd671291c9c4f9e1","observation_id":"9e2b18a9-3f74-4c5e-9c53-b5498f25d18d","resolution":{"observed_at":"2026-06-27T09:10:47.015032Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10801-011-0309-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Equivalences of quadratic APN functions,","venue":"Journal of Algebraic Combinatorics","work_id":"f6227111-c812-408a-93dd-321ac6701c75","year":2012},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:23f005153360df78ce90bbf6b46ba2110118d36a7c209dd984c186d6a12bd48f","observation_id":"b8b5286b-8b63-48b2-8761-4657440fb42c","resolution":{"observed_at":"2026-06-27T09:10:46.978785Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10801-016-0680-z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Equivalences of power APN functions with power or quadratic APN functions,","venue":"Journal of Algebraic Combinatorics","work_id":"b96e6e53-038b-4bc4-a7ed-6308891bf0a2","year":2016},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:8ec6fff4f6ded07f5662ee9e306fe4235be051cdd45d73d67c63556fdfc782cc","observation_id":"ad97042d-b14e-4727-8cf5-1640d1d45f81","resolution":{"observed_at":"2026-06-27T09:10:47.015056Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2020.297447","doi":"10.1109/tetc.2020.2974478","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Constructing APN functions through isotopic shifts,","venue":"IEEE Transactions on Emerging Topics in Computing","work_id":"d034292e-293b-4f64-9475-725a98eb1038","year":2020},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:80c1cdb98492c1c1af6a0cdbd1dd3ade78be2e5e92f1a7744313c21f2c8d9bc9","observation_id":"e1a73aa8-2a9a-4851-b2eb-ef8f0e00f1e4","resolution":{"observed_at":"2026-06-27T09:10:46.991243Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-23T22:52:53.049772+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-23T22:52:53.049772+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s12095-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T09:10:47.015604Z","title":"On the EA-classes of known APN functions in small dimensions,","venue":null,"work_id":"ffcbeea3-030f-4213-97c7-f2f6f83b1552","year":2020},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:759aed63dc38d58bf8aad9c9ab837f446c905f5088dffb405ad1cff85c7d72d4","observation_id":"fcf3cfd4-df9c-488c-92f2-d7b414dfceaf","resolution":{"observed_at":"2026-06-27T09:10:47.016883Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/9781108606806","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Carlet.Boolean functions for cryptography and coding theory","venue":"Cambridge University Press eBooks","work_id":"efd3c6aa-7c4a-4fac-a658-4bb9e54bbf07","year":2021},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:1fa0d09da70a38f5c2d06afeca06068a72c16fb61bdae169d05d7782893d558c","observation_id":"8b054bb8-0d30-459c-aafd-fa209c7b35ae","resolution":{"observed_at":"2026-06-27T09:10:46.979646Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-25T17:53:45.441132+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T17:53:45.441132+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1996.0125","doi":"10.1006/eujc.1996.0125","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Bosma, J","venue":"European Journal of Combinatorics","work_id":"06215236-1c77-43c5-b35a-fbcef91b5ec6","year":1997},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:b89a4eae78614af60da694ea0f1dc5d97796cebbbbad64f81de0fcd39ed5eb42","observation_id":"de2eeb28-60ed-4ccd-9263-44d8bd52d88d","resolution":{"observed_at":"2026-06-27T09:10:46.984672Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T09:03:54.998200Z","title":"sboxU: Tools for analysing S-boxes,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:13e0cffe763698d640656e1938ab85b114a5e9dc71b137d189e67dc0af06583f","observation_id":"f849cfb1-6e1b-47b7-a356-96994186067e","resolution":{"observed_at":"2026-06-27T09:03:54.998200Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T09:03:54.998200Z","title":"An APN permutation in dimension six,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:e92d5c7b909d0561742fe1c4bdb749d2cbde8cb2d84fc67c2f285472e849b8d1","observation_id":"dd2ad4d9-8f4c-4aab-b378-376b54407f8c","resolution":{"observed_at":"2026-06-27T09:03:54.998200Z","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":"10.1007/3-540-36178-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Cryptanalysis of block ciphers with overdefined systems of equations,","venue":"Lecture notes in computer science","work_id":"df56608f-f2ab-45f0-b603-a798572ffd9e","year":2002},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:d250b4e136487c9834f71768136028378d88794a39b86ab05e6ce88f9e1300f8","observation_id":"5846c565-597b-4fb9-a121-70df62e3e2d6","resolution":{"observed_at":"2026-06-27T09:10:47.000019Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T09:03:54.998200Z","title":"The M4RI library,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-27T09:03:54.998200Z"},"links":{"citing_paper":"/paper/2606.11967"},"observation_digest":"sha256:81a6f9c97f8655ddadcce7085847ddf89b456569f0bbb452d0e0e099fd041648","observation_id":"f7456e26-6398-41fc-8908-dc790fb4b3e7","resolution":{"observed_at":"2026-06-27T09:03:54.998200Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.11967","last_updated":"2026-06-19T17:17:40Z","latest_version":2,"primary_category":"cs.CR","snapshot_observed_at":"2026-08-15T06:29:02.062418Z","submitted_at":"2026-06-10T11:45:12Z","title":"Quadratic APN Functions in Dimension 8 via Gr\\\"obner Basis Search in a Self-Equivalence Subspace"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":1,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":5,"verified_exact":17,"verified_fuzzy":0},"total_outbound_references":25},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2606.11967."}