{"as_of":"2026-08-05T23:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:af5c9893c6a89c183604f7c0f0f2627ce321de72b23fe159d1eede13192184ba","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T19:55:19.080335Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+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":"2026-08-01T10:13:16.926399Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.07887","snapshot_observed_at":"2026-08-01T10:13:16.926399Z","title":"Fradelizi, A","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.20387","last_updated":"2026-07-22T17:13:36Z","snapshot_observed_at":"2026-08-04T11:32:56.200884Z","submitted_at":"2026-07-22T17:13:36Z","title":"Godbersen's conjecture and the $L_p$-Rogers-Shephard inequality","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T10:13:16.926399Z"},"links":{"cited_paper":"/paper/2606.07887","citing_paper":"/paper/2607.20387"},"observation_digest":"sha256:be132b28daf461ce79cb8468c0c0b8769fdf2d3e838d2e8ef3801da536719646","observation_id":"582a3a48-d067-4ec5-b0c5-a5afd8187bc1","resolution":{"observed_at":"2026-08-01T10:13:16.926399Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2606.07887/citation-record","integrity":"/paper/2606.07887/integrity","json":"/paper/2606.07887/citation-record.json","paper":"/paper/2606.07887"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T19:55:19.080335Z","title":"Alonso-Guti´errez,A reverse Rogers-Shephard inequality for log-concave functions, J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:91f7c64eecc84e24d744a60fc3a5f1389350c35d1cf69b47b0de2e43a8c4b795","observation_id":"49dd2eca-a4e4-4947-8dcc-e4606bffd766","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Alonso-Guti´errez, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:89e07efe0d474f9bef25de1d16fcc8ff052821a7e498fccceeb71530a3fff7e0","observation_id":"6a2eedfb-d9a3-49cf-866d-7ee89aa357b5","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Alonso-Guti´errez, B","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:09bda9c6f53a8089505f7364068f05038073acac436b2b1352cb14d3c818ca99","observation_id":"3936b95b-9fb3-44a8-840d-7384966eca8e","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Alonso-Guti´errez, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:35d36f936b63789963e17447a7ab42d371cf7db824b8633861cad2de1c9a06d9","observation_id":"bf295b7e-6593-416c-882f-4dce6a1528a3","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Artstein-Avidan, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:2381d3db1382c52f13f6a381a9282941d0fc46cd8b7e85a9eb45c1b3cc426389","observation_id":"2709cb31-5b4e-49fe-922a-58e9b6e2611f","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Bianchini and A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:e8cebf144136c946e3ee4b5155efe0ddd70cefe8369704574c5f9b32b9b23f47","observation_id":"762d76c8-da8b-4ad1-ba42-b05e2a282560","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Campi and P","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:0730f782274776ccf32a32193222621e95e2ac351d246dfa7d0b8b2573083fac","observation_id":"3694a571-330d-48f6-86db-7f733bd790ec","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Campi and P","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:355c3c9c819a3f5d1060b1042a10c8a864458bf360d31904c46b3987bd4bcc85","observation_id":"df5453ff-a3a7-4e80-9e9e-ba8b837c9f18","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Publ., Hackensack, NJ, 2006, pp","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:8222af2f5f59166863c9ce9b5d10aa46a3c54422a77b686b31e5b0d2644232a2","observation_id":"f052b595-2ab4-4dcd-8f72-a30a5ac1e716","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Chappell, T","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:cd7beb109cc6e7e7f748593be5ad21918aafec7324f653c0e8e3e9a0c8fc5b80","observation_id":"6510fe5c-ea8d-47c6-b96d-8936f1524956","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Colesanti,Functional inequalities related to the Rogers-Shephard inequality, Mathematika, 53 (2006), pp","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:cf42ae509785a163d6e46aba3a88453fc628741f91cbe29a8d7152c0de43b879","observation_id":"45ed231b-ba52-4513-8beb-f9c4385f3beb","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Fradelizi, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:9d03346ea9614b88c5f813855659b94be2ed48d9299b0d77c15822d51f460841","observation_id":"ce60a2b5-7e73-494e-8222-d871e98ba3b2","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":null,"venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:cefcd2b8372f9f0904f4aeff163984aa1c69fa3db4f75af16701d38fde0a3461","observation_id":"04df38b6-64d8-4cdd-ad4e-20d8b275f494","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":null,"venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:60a926ca5b6743d925169d60686d7f133707817e21de88ddb8ffbcb325170628","observation_id":"4b76a051-5745-44a1-b04e-43861fb8bd24","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:f554678d62b7cbe530eb8eea592283a4debca017490dad1eea0c8041cd3cfd44","observation_id":"bbf3b8c9-aba2-469c-85d5-d55c270ab059","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Kotrbat´y,On a generalization of Godbersen’s conjecture, International Mathematics Research Notices, 2025 (2025), p","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:2f9d73680e329c30bf340394c02cedf55df1b002705f8bb4f44b9dbd91c3bbf5","observation_id":"24af85d9-1e29-401b-8768-a88d6697a46e","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Lutwak,The Brunn-Minkowski-Firey theory","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:2fb3fe47d4e351fdf20be2f52db6fc9ef2f535d0a53a5c66d0da911cde3accd7","observation_id":"6ad7841e-ae3d-4e40-b9ec-f111013edd41","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:1e69ed24a06f08635a231a699f150c58bdf18730cbe53e4e337f40152b5703c2","observation_id":"5ab4817d-2c20-4f39-af17-ceaaede1e2ca","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Lutwak, D","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:3f6adece5031ef6c307e52543ed4af30f956134d9eb3902f8e134d952e6471ad","observation_id":"53afa79f-fdf2-4e30-908f-e0dac3a8f207","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Madiman, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:743724df56dd5f9d30f09642ad4c7f4a4d153f3a9d810a6902943ad9df311d04","observation_id":"d8a87f39-f786-4c3a-9a32-d444abcbd6cf","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Manui, C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:41d6e6b5e999a9e0c8b20facfd8838ebdd7a706a0b31ec8e42d0cda712867276","observation_id":"78dbf803-d6b8-43c9-9bc0-aceee95367cb","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Meyer,Convex bodies with minimal volume product inR 2, Monatsh","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:bbc6f8ebe3858f38dc299b946291b6315583d757323639abc94372727d3b36a6","observation_id":"4fb34743-6f65-4c1a-8223-3a7158ce6b16","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":null,"venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:fcc6f24c57b33dfee23018b60d6250cf6e3e558f63f3b4c26f054415ae7e0c8c","observation_id":"e6627aad-b0d6-4c26-a971-84cf69e6671f","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"London Math","venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:778ab6df521ab99dee208b9ab687f3dbaeb65aa51c9561dd41a295db297ddbef","observation_id":"63d5c7b9-0f53-49dc-9e05-0ad61ef2f2e2","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":null,"venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:64023c2ca64ace826ce81e5af8be427a5575bd0e37bf1c4528c284d3e30d171a","observation_id":"e159a085-5b03-41d4-be40-2fd58157bd03","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Sadovsky,Godbersen’s conjecture for locally anti-blocking bodies, Advances in Geometry, 25 (2025), pp","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:e59b45667d0851dbb512e7a3716af4e7c2c4de59407eaf1a14cd0a8fcc9e3835","observation_id":"41a869a6-bc8e-4a8a-98d7-ac140bf5287e","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","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":"2026-06-27T19:55:19.080335Z","title":"Schneider,Convex bodies: the Brunn-Minkowski theory, vol","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-27T19:55:19.080335Z"},"links":{"citing_paper":"/paper/2606.07887"},"observation_digest":"sha256:14d7ed68f573af6e45d30f8fc32cdf455cfc395537455ec77f10dcd28222f12b","observation_id":"d6111def-666b-4018-a657-95dd0dabf4b0","resolution":{"observed_at":"2026-06-27T19:55:19.080335Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.07887","last_updated":"2026-06-05T22:48:13Z","latest_version":1,"primary_category":"math.MG","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T22:48:13Z","title":"Equality cases for the $L_p$-Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in $\\mathbb{R}^n$"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":27},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2606.07887."}