{"as_of":"2026-08-10T10:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5da90b9ca6ccb727c7fcce9706c83d44e87a6eccd90ef755d179556ab3746c51","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:29:04.099568Z","state":"measured"},{"denominator":16,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":16,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2507.05892/citation-record","integrity":"/paper/2507.05892/integrity","json":"/paper/2507.05892/citation-record.json","paper":"/paper/2507.05892"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:07.517499Z","title":"The spectrum of prime ideals in tensor triangulated categories","venue":null,"work_id":"f07fc795-a3ec-4cbd-a35a-e94914be3c7d","year":2005},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:02.375563Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:6aada99d5f241bc89740ada9f7636d582115a37d4a5f4379844987aeece0df9c","observation_id":"6c64ccd4-c451-4013-b6c2-81d3e60c8275","resolution":{"observed_at":"2026-08-06T19:29:07.674220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:07.249941Z","title":"Spectra, spectra, spectra---tensor triangular spectra versus Z ariski spectra of endomorphism rings","venue":null,"work_id":"add92a38-8f9d-4b40-b24d-d6d43dba8050","year":2010},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:02.467312Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:c2f6f7f3ca6be38b5623959835f5e12a1de7e15842cffdd2bb3628bb3396fd63","observation_id":"cc20ba26-8d74-4d6d-a99e-3682748c5a10","resolution":{"observed_at":"2026-08-06T19:29:07.382266Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:07.025474Z","title":"Stacks of group representations","venue":null,"work_id":"9da17c1f-c27e-4efd-a08b-7288894220be","year":2015},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:02.564997Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:cf0506d446b5d2b3dc04f6280aad58c0eb57656164e7b3d3ee7afcb17d57ffb0","observation_id":"5c3bb341-26ff-4e27-b1c3-b8b1373342cb","resolution":{"observed_at":"2026-08-06T19:29:07.113622Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:06.747878Z","title":"Separable extensions in tensor-triangular geometry and generalized Q uillen stratification","venue":null,"work_id":"3d52bea0-863b-4c23-8aae-995ebb76f854","year":2016},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:02.686074Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:6a850cce14ca06a4f98307b1b970c5a9b4b950b1b3a11ea7db75cbea421aa146","observation_id":"4da984b4-e68e-4d7a-83f4-821dae8a1b5d","resolution":{"observed_at":"2026-08-06T19:29:06.870639Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.16271","last_updated":"2023-10-14T19:25:21Z","snapshot_observed_at":"2026-08-05T06:39:09.163384Z","submitted_at":"2023-07-30T16:38:22Z","title":"Lattices over finite group schemes and stratification","version":2},"cited_work":{"arxiv_id":"2307.16271","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.16271","snapshot_observed_at":"2026-08-06T19:29:04.490424Z","title":"Lattices over finite group schemes and stratification","venue":"math.RT","work_id":"e2ee5c9a-c2a4-4aa7-95b0-fbe6f1140bbf","year":2023},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:02.827043Z"},"links":{"cited_paper":"/paper/2307.16271","citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:a97dae0dc76c32b79e1df9a86a487d2d9d1a179d3705ffe2e7c63b6923210225","observation_id":"15116d90-373c-47b8-b29d-9b1c74226702","resolution":{"observed_at":"2026-08-06T19:29:04.599426Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T19:29:02.931881Z","title":"Generalized tensor idempotents and the telescope conjecture","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:02.931881Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:230f4ba317f99323171374ac3ce2f448ce54f28261d53ce574501b7db5c47fd0","observation_id":"b4cafd6b-7fba-449c-91a5-3a89d932e708","resolution":{"observed_at":"2026-08-06T19:29:02.931881Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:06.480086Z","title":"Permutation modules and cohomological singularity","venue":null,"work_id":"104dccbf-20bf-469f-8843-f7730a1b029c","year":2022},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:03.055339Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:627f09ba0f7fdaf75b59085ac527735942febea1d0d85a9d2a255e011611e84e","observation_id":"66effcfe-5dc2-424f-bc2c-7a735a806f71","resolution":{"observed_at":"2026-08-06T19:29:06.582891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:06.256676Z","title":"Finite permutation resolutions","venue":null,"work_id":"2efe457c-b3ee-43c8-8769-8a8f9f2379a5","year":2023},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:03.155889Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:94932e1d672f7b81ca3a279e6421fad4daea403b66dbe93f853c1546ef951d74","observation_id":"43d9e6b1-ad64-49e7-9476-254f35d07a54","resolution":{"observed_at":"2026-08-06T19:29:06.353623Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:06.010357Z","title":"The geometry of permutation modules","venue":null,"work_id":"a5f2aa14-c3d3-4643-8e97-0ea0ba098953","year":2023},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:03.299573Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:3b010f67794224c52931128150fc3f3bf427148a9bccd74f27b482f5879cd4b9","observation_id":"bc6578fb-c579-42b3-88d9-eb20fb55fd2f","resolution":{"observed_at":"2026-08-06T19:29:06.124130Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:05.769672Z","title":"Permutation modules, M ackey functors, and A rtin motives","venue":null,"work_id":"46533f7d-7e2f-43bf-85c5-a2dd9b437d32","year":2023},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:03.459144Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:0b6f844939e5bf5904e72ccaf51072b807b5133202e6ffdaf65ce4e3cd7f6486","observation_id":"9a454f17-b330-4376-a0b4-6d4ca7fa91a0","resolution":{"observed_at":"2026-08-06T19:29:05.879917Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T19:29:03.552227Z","title":"The spectrum of A rtin motives","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:03.552227Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:f79f1e530437e0aca07c94cd67902e67ccbfe5548bdad0864f557cd4cebce8e4","observation_id":"a3795b56-68af-449b-830f-f65a96b572c2","resolution":{"observed_at":"2026-08-06T19:29:03.552227Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12711","last_updated":"2026-05-18T08:35:06Z","snapshot_observed_at":"2026-07-06T20:24:17.280431Z","submitted_at":"2025-01-22T08:36:21Z","title":"Fiberwise building and stratification in tensor triangular geometry","version":2},"cited_work":{"arxiv_id":"2501.12711","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.12711","snapshot_observed_at":"2026-08-06T19:29:04.285648Z","title":"Fiberwise building and stratification in tensor triangular geometry","venue":"math.RT","work_id":"78025106-7368-41ac-a972-3288403cc027","year":2025},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:03.658334Z"},"links":{"cited_paper":"/paper/2501.12711","citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:8b5032b288a814755fc2a8c05bd9c1d36e5e2ea0348403cdeeebb91015142345","observation_id":"21b28938-6a34-4b2b-bc12-33d88dc5c93e","resolution":{"observed_at":"2026-08-06T19:29:04.346944Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:05.549730Z","title":"Dirac geometry I : C ommutative algebra","venue":null,"work_id":"8273ecfe-cb7a-4735-8f17-dec3aa7e71cd","year":2023},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:03.774498Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:c118730bd8742764b6c7896d62593f4eb05fa34e6dc18fd1d280a97620d8eed8","observation_id":"99a96e19-e9f3-4eec-982e-70ced0bea7cb","resolution":{"observed_at":"2026-08-06T19:29:05.640320Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:05.223393Z","title":"The B almer spectrum of certain D eligne-- M umford stacks","venue":null,"work_id":"85f5295d-69cc-4431-b0c0-64f8e0309588","year":2023},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:03.895904Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:f834dab899b8a05236e3021dd36f8dd6a0f803d3cbe9f0ed79ef9c977c2c729e","observation_id":"e5cbe3a7-1af4-4c71-8099-a7148b8b6c4d","resolution":{"observed_at":"2026-08-06T19:29:05.369417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:04.953636Z","title":"The classification of endotrivial complexes","venue":null,"work_id":"c09ca92a-9bce-4dec-8afa-a58a645f7eb7","year":2025},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:03.984507Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:3884ec6b0c616822994b6975925a7fe5204bb061ee3fd49b5f7691fbd77576e4","observation_id":"085a76cc-1884-444e-9d84-cd6eb4ca3e80","resolution":{"observed_at":"2026-08-06T19:29:05.081974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:29:04.699974Z","title":"Spectral reflections of topological spaces","venue":null,"work_id":"4f99e29d-f156-4848-a417-67620e2670b5","year":2017},"citing_paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T19:29:04.099568Z"},"links":{"citing_paper":"/paper/2507.05892"},"observation_digest":"sha256:89c86270238320c893e98a245b58677517f262797149d1e87aeadc487e0d0fc5","observation_id":"baea7292-7abb-4a01-8174-7b104aceabea","resolution":{"observed_at":"2026-08-06T19:29:04.795350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.05892","last_updated":"2025-07-08T11:27:31Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-06T19:13:21.456239Z","submitted_at":"2025-07-08T11:27:31Z","title":"The Balmer spectrum of integral permutation modules"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"verified_fuzzy":12},"total_outbound_references":16},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.05892."}