{"as_of":"2026-08-10T02:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:db63ae96b7520f146b8c1aa8da71a502c69992cf64debdf6d5adf163dca87ea8","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-08-09T06:31:02.800959+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/2606.25641/citation-record","integrity":"/paper/2606.25641/integrity","json":"/paper/2606.25641/citation-record.json","paper":"/paper/2606.25641"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:5dca1bce35638eb139c46f20ede6603f70b8f0730ff94aa86811e0c7793f9199","observation_id":"6f80d825-232f-464a-9ab6-b14cd26c8a1b","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:e925ada40aa11548828def4a928b68519e81e7d9e8736f814f537225bde10249","observation_id":"7c13b732-7da8-4de0-99c6-4f17e43e89f1","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:b389b1060f3546cbefa949c672b01e078f481cf859975663b24893fae381260c","observation_id":"19beee03-491c-4f3a-85b3-949d53ac7bbd","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:d80827f16a8387039aae11cf4b8bea8494dd43c2fa38a3ff10d4175755533025","observation_id":"aef48e01-d6e4-4fbc-a009-91b3c369f2eb","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":"Israel J","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:35dfbef121207e1ac0e4c9091a948d6a8700e1d8126c121b1e47af8b20cc361a","observation_id":"b6f034c4-d869-4915-8b7e-ea6808007265","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":"Israel J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:3f679e49691683102b659dac43351f9dd3367e0d082fcb92875002648f28ed0d","observation_id":"cd6d64af-182f-4e24-bea3-ea0269a3ee88","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":"Pure Appl","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:eec2f7956dd615b08322696fb2e2b0ec6f1b624ff6bf1c7c6a4d987b3080afb3","observation_id":"dfe9a8c7-e168-419d-ada3-5daaa80895de","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:7f835a476a7f0d084ccd4bcc5f324ba2ab03279d57712d513b6fc5f89a3db829","observation_id":"88a000d4-d257-4eff-9b76-9d05e0cbea58","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:b94725363c693d1b7d80affe087e81334e41b798c21e1a39e48a196fa09d49c1","observation_id":"13c9adcf-2d5b-491c-ad44-2bd8d8716dd7","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:bc45571341a9fb4f59734ce0c6895575b0bbe83caac78bc781bf19997c2e3379","observation_id":"347ad759-00c8-48ef-9ff5-d971d2083245","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":"G.; Convolution of convex valuations","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:2d512ee4f9b5c2c24ecfc127dc299d776185cf3e10bd503e32ae9a15ccd07c97","observation_id":"24630359-3fc4-4269-9f80-334a3378d885","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.12294","last_updated":"2024-02-14T10:41:17Z","snapshot_observed_at":"2026-08-08T06:26:48.378328Z","submitted_at":"2023-12-19T16:17:02Z","title":"Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations","version":2},"cited_work":{"arxiv_id":"2312.12294","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.12294","snapshot_observed_at":"2026-07-04T21:00:09.083613Z","title":"Preprint arXiv:2312.12294","venue":null,"work_id":"0a6b9b64-18b1-4608-963a-156ca5f7846d","year":null},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"cited_paper":"/paper/2312.12294","citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:9267298e2608829fe9163b71b4eda187b30885f929b02881909a99b4690cc537","observation_id":"12e0838f-73be-4653-83f1-bf03b7de8a9a","resolution":{"observed_at":"2026-07-04T21:00:09.085269Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-06-25T19:18:51.799702Z","title":"D.; Zalgaller, V","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:b9b58e68e7d23101a8955c7e0815fa3920b6f29c37ca75eb514cb29fdecb90a8","observation_id":"26b06f12-0959-4d4e-9208-62dbe03998ca","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":"With a view toward algebraic geometry.Graduate Texts in Mathematics, 150","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:e78d56a456a0de7a786192e7469724738205f692aad2056a401bf3d43dc63946","observation_id":"be028077-5eb7-4e6a-b1f8-eab7681324ca","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:6a3fe7eb2b536221014f8ca4add18917e487564b5af0a8be2a67c74a3791ae0a","observation_id":"87cedfed-59da-4e0a-bfee-f76fe9d740a2","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:808ce25d96627caeeb873883febcdaae1d665b63d794676ad54f7e43caffb524","observation_id":"91b7a55d-1800-4855-9ba3-99d6701e15de","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":"Reprint of the 1978 original","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:56261942941fb4e93523b02b2cd7369de0f30bd42badc377501e5528083fff77","observation_id":"994da60a-cb13-4579-bad6-07b5cd5e1ad9","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":"Manuscripta Math","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:6e1377dc8b061839a4577ebf028181f77863fc46714301746b9ba821f2f8e5a1","observation_id":"c2adc340-e525-4b03-aab2-a4851c6ca0fb","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":"Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:182a74137972376e311020955108fbe595460130f1f99538e8128252e168b16b","observation_id":"1cb045e0-ecab-4042-a475-a68b5e37eae8","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":"Israel J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:d999b5293046c6a53cd989ac0ae316b8197a9672a6160bf13af4a64cd39ac35d","observation_id":"8db9cb92-dd4b-440f-8d08-36f0a78a3fa9","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:07ad9bb5187820c102f73bc8f899c365f0edff9275212f3529d6c1fed3d7df6d","observation_id":"38b3c89c-7dfd-4ec2-984b-329e2ebb2a8c","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:11d8319c755f56c6fc3c42d78662bb8ae6433078f341230a5f523563664c340c","observation_id":"8ed64dc6-b2e2-4930-b9cb-6dddf41ecefa","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:040e9834b2b5baf9482e22d8899c0c50a881fd6c7adaf4155f9489771e73548a","observation_id":"3bca4827-6c38-452c-a199-2a1ed9f4fcd1","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:c8136b48293442e84dd4355d7bc250f464e7b5672afb3eec83748941427951db","observation_id":"c0d89102-76ed-4f6a-acc4-83909b1e6779","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:fefc414b4929be09c6d0780fd7f94076dd421090e498580f9c2c0c4fd039b1db","observation_id":"6fafb965-ab16-4ba5-ae41-713d138454ce","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:9214fefad48fd6fb6e14f65750fa5c20353232acdcbf70d2baa22bc765a4bbcb","observation_id":"06871440-c123-4022-b051-a052940b9f85","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:2b88bbfaaa6f1301eae6109101e121775f5fd3e58e71986220d7d7b86f76b073","observation_id":"e9836fd3-1702-472c-8bfa-61e892d2d4a8","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","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":"2026-06-25T19:18:51.799702Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-25T19:18:51.799702Z"},"links":{"citing_paper":"/paper/2606.25641"},"observation_digest":"sha256:f840dc65ef9fc14cff2cf50c3bec30d25353bb016100871a1079e2f2eb5fa89b","observation_id":"fa6fe4ae-7b95-4d9e-b8e4-48e710e536a0","resolution":{"observed_at":"2026-06-25T19:18:51.799702Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.25641","last_updated":"2026-06-24T09:50:05Z","latest_version":1,"primary_category":"math.MG","snapshot_observed_at":"2026-08-02T21:25:25.664775Z","submitted_at":"2026-06-24T09:50:05Z","title":"Towards Hodge-Riemann relations for non-Archimedean analogs of valuations on convex sets"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":28},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2606.25641."}