{"as_of":"2026-08-04T09:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:275678c58d94081d7c7f556eeea5bce9cbe5c5a9835e938df15803cc7dadd1db","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T16:58:15.756761Z","state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-04T06:34:03.388597+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":"2026-08-01T13:59:41.892713Z","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":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.08773","snapshot_observed_at":"2026-08-01T13:59:41.892713Z","title":"Reductive Group Schemes","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.18992","last_updated":"2026-07-21T11:25:52Z","snapshot_observed_at":"2026-08-02T21:55:43.036869Z","submitted_at":"2026-07-21T11:25:52Z","title":"On the Fields of Moduli of Curves of Genus Six","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T13:59:41.892713Z"},"links":{"cited_paper":"/paper/2604.08773","citing_paper":"/paper/2607.18992"},"observation_digest":"sha256:0d12ee1a5056351ce8d81e032649e54274ebd95b7a44e9681ee65f914752d5de","observation_id":"aede2419-eaf5-43c3-82be-32af61951d70","resolution":{"observed_at":"2026-08-01T13:59:41.892713Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2604.08773/citation-record","integrity":"/paper/2604.08773/integrity","json":"/paper/2604.08773/citation-record.json","paper":"/paper/2604.08773"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2402.00862","last_updated":"2024-02-01T18:58:07Z","snapshot_observed_at":"2026-07-06T17:23:55.166594Z","submitted_at":"2024-02-01T18:58:07Z","title":"Murphy's Law for Algebraic Stacks","version":1},"cited_work":{"arxiv_id":"2402.00862","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2402.00862","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bragg & M","venue":null,"work_id":"e2d3e389-49be-4152-873c-d186849bc8fa","year":2008},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"cited_paper":"/paper/2402.00862","citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:3dba63d585b2aae2c3dec077a8882f73dfd8f4268dc9d912cec6dc70d5f03d95","observation_id":"3fd4392a-27a7-4eb0-920b-116a10b43a7a","resolution":{"observed_at":"2026-05-11T07:45:59.125329Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Geom.8(2021), no","venue":null,"work_id":"1dc859cb-690b-4aa7-adb5-1a22f6fefe55","year":2021},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:7750168b9dc66894103c4c14955210a3e326b0e1bf45f08900e10eadd6ad5a56","observation_id":"0629ec38-8dff-454e-987a-c8ed0224d2bb","resolution":{"observed_at":"2026-05-17T12:41:48.790073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.12192","last_updated":"2026-06-17T09:38:28Z","snapshot_observed_at":"2026-08-03T12:58:00.558656Z","submitted_at":"2023-09-21T15:58:53Z","title":"Real versus complex plane curves","version":2},"cited_work":{"arxiv_id":"2309.12192","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2309.12192","snapshot_observed_at":"2026-06-19T17:10:41.322322Z","title":null,"venue":null,"work_id":"81109a73-43fd-4231-a17f-f08183c9ef91","year":null},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"cited_paper":"/paper/2309.12192","citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:5e14d2515e70ec82ee5f588d9e9761f342222b953e24a316a7cbc7b911b2cbd4","observation_id":"7b763282-662d-4464-bbca-a100013c80a5","resolution":{"observed_at":"2026-06-19T17:10:41.322322Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.03621","last_updated":"2024-05-06T16:36:20Z","snapshot_observed_at":"2026-07-06T18:10:33.673157Z","submitted_at":"2024-05-06T16:36:20Z","title":"Uniform bounds for fields of definition in projective spaces","version":1},"cited_work":{"arxiv_id":"2405.03621","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.03621","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"bad4535b-0b7a-4471-b245-5e47382680ba","year":2024},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"cited_paper":"/paper/2405.03621","citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:9c030be6ea1f0cdcdeae5e05647200accb7113f19aeec68f56648305cd204581","observation_id":"7f3ead72-fdf2-4919-9980-d664d4bb4f75","resolution":{"observed_at":"2026-05-11T07:45:59.116046Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.07923","last_updated":"2025-05-01T16:50:53Z","snapshot_observed_at":"2026-07-06T19:14:12.404382Z","submitted_at":"2024-09-12T10:44:28Z","title":"The section conjecture for the toric fundamental group over $p$-adic fields","version":4},"cited_work":{"arxiv_id":"2409.07923","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.07923","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"org/abs/2409.07923","venue":null,"work_id":"b348fb0e-af8a-49df-9938-e2d8604231d4","year":null},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"cited_paper":"/paper/2409.07923","citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:14767e8718b968c585dc5618afd91fd482e1907c1ace905fa96014d966b8c166","observation_id":"44cf0888-9bf2-4c9a-98cb-a838b32b38a1","resolution":{"observed_at":"2026-05-11T07:45:59.108043Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Algebraic Geom.24(2015), no","venue":null,"work_id":"20f11ec6-d266-47cf-9567-a07f98cf6ceb","year":2015},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:5d18f8809fe479dd3ffc5fa8cf3d740d8d0b3d27eea752bec5705960055ab60e","observation_id":"b103ca9a-84b1-4a0e-9170-ee0fe066fe7f","resolution":{"observed_at":"2026-05-17T12:41:48.792697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Algebra106(1987), no","venue":null,"work_id":"11746dd1-c88f-486e-9800-9516e4399fef","year":1987},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:87869bac168cf6b5cd9f4ef516dde627261df808630d65bc5c747fcc535bcac7","observation_id":"0623255d-91e3-4d6c-b06c-0f62394b1446","resolution":{"observed_at":"2026-05-17T12:41:48.795216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Groups 21(2016), no","venue":null,"work_id":"6ec0e37e-b462-419e-be4f-ffe87bb8ff87","year":2016},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:360199de0dc2ff1dcc4d4bdea1876994452d3202ae68d8edfcca8cc002ba4313","observation_id":"65379d40-4d61-4cdc-85e6-08fc27b50569","resolution":{"observed_at":"2026-05-17T12:41:48.800792Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.04196","last_updated":"2025-06-24T16:02:26Z","snapshot_observed_at":"2026-08-01T19:53:26.512544Z","submitted_at":"2024-12-05T14:34:46Z","title":"Malle's conjecture and Brauer groups of stacks","version":3},"cited_work":{"arxiv_id":"2412.04196","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.04196","snapshot_observed_at":"2026-07-08T05:04:31.259095Z","title":"Malle’s conjecture and Brauer groups of stacks","venue":"math.NT","work_id":"336e697e-43d2-4064-9d74-bf018074ebbe","year":2024},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"cited_paper":"/paper/2412.04196","citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:213ddd7e80509d5188dc44425ae24261067e7c358860e1ea861e1287b8798ed4","observation_id":"0234a6b2-f17d-40c4-b7f0-2dff891c0362","resolution":{"observed_at":"2026-05-11T07:45:59.112285Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Matsusaka,Polarized varieties, fields of moduli and generalized Kummer varieties of polarized abelian varieties, Amer","venue":null,"work_id":"3641f46e-1eb0-4c87-a846-955a8bed961b","year":1958},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:b414b3ae058a83b9ddd1240c0ce7f6f9952d600a4926d4764d19fabccabc9a1f","observation_id":"e9a5378c-4a62-4470-9fc4-b694a0c7758d","resolution":{"observed_at":"2026-05-17T12:41:48.796517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"70b724c5-16b4-4fd9-a353-2d795bb2afbf","year":1959},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:9b9bc748c891a8c7fdc79e6e18030dcdd10b8c82a4a93b3e97c7c7bca06b0cde","observation_id":"853d01ea-f787-48a0-9856-aa23b1e92362","resolution":{"observed_at":"2026-05-17T12:41:48.798120Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"661286cd-a555-4967-a026-ce1288400d24","year":1956},"citing_paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-10T16:58:15.756761Z"},"links":{"citing_paper":"/paper/2604.08773"},"observation_digest":"sha256:864b715f73694276c9d166fb620ff0fd72d6c84978c18a8bf7961475aa69c588","observation_id":"30a66208-cb85-4eb5-a082-23657cb098d6","resolution":{"observed_at":"2026-05-17T12:41:48.787310Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.08773","last_updated":"2026-04-09T21:18:51Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-07-06T22:57:50.266735Z","submitted_at":"2026-04-09T21:18:51Z","title":"Neutral representations in dimension $\\leq 3$ and fields of moduli"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":5,"verified_fuzzy":5},"total_outbound_references":12},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2604.08773."}