{"as_of":"2026-08-11T06:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d54f1ca20e63d0b4edb70563b9ddaf45b85f6fc54bc1f030660d0e8e70c6e1ed","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:57:28.430194Z","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":"2026-08-11T06:34:44.6726+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/2507.12954/citation-record","integrity":"/paper/2507.12954/integrity","json":"/paper/2507.12954/citation-record.json","paper":"/paper/2507.12954"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.09928","last_updated":"2025-03-13T01:00:16Z","snapshot_observed_at":"2026-08-10T07:56:17.802538Z","submitted_at":"2025-03-13T01:00:16Z","title":"On filtered algebraic $K$-theory of stacks I: characteristic zero","version":1},"cited_work":{"arxiv_id":"2503.09928","doi":null,"metadata_source":"pith","pith_arxiv_id":"2503.09928","snapshot_observed_at":"2026-08-06T16:57:28.759195Z","title":"On filtered algebraic $K$-theory of stacks I: characteristic zero","venue":"math.AG","work_id":"190cab45-973c-498b-b077-c617749f3640","year":2025},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:27.686426Z"},"links":{"cited_paper":"/paper/2503.09928","citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:6fe3375f36cc7498be5ef3fe6c0a0fd606133a0fc06f2d9ea50b52b08afc1b6e","observation_id":"b75753a0-ff01-4beb-b3fd-b151f0e6b1ba","resolution":{"observed_at":"2026-08-06T16:57:28.827264Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.07473","last_updated":"2025-04-10T05:55:43Z","snapshot_observed_at":"2026-08-10T07:56:17.406689Z","submitted_at":"2025-04-10T05:55:43Z","title":"Standard $t$-structures","version":1},"cited_work":{"arxiv_id":"2504.07473","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.07473","snapshot_observed_at":"2026-08-06T16:57:28.573866Z","title":"Standard $t$-structures","venue":"math.CT","work_id":"bfab3b48-7294-4b8d-96ab-ef9cdb6b47b9","year":2025},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:27.840716Z"},"links":{"cited_paper":"/paper/2504.07473","citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:d52bae5cd9f80ff06e64cf5a6075830a22ac9c9cb81cea91e47c7e67f4e9f3ed","observation_id":"a5e44101-629e-41f7-a834-9c0412b4c651","resolution":{"observed_at":"2026-08-06T16:57:28.645978Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.17141","last_updated":"2022-04-01T07:12:19Z","snapshot_observed_at":"2026-08-10T23:28:31.006640Z","submitted_at":"2021-03-31T15:06:12Z","title":"Yoneda's lemma for internal higher categories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.17141","snapshot_observed_at":"2026-08-06T16:57:28.058748Z","title":"[Mou21] T","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:28.058748Z"},"links":{"cited_paper":"/paper/2103.17141","citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:e73496ae674fea80b07eee29a25762aa44693b6f0fecf7a59c49037b567e9869","observation_id":"7649b798-565e-4a6d-b683-83436242f15c","resolution":{"observed_at":"2026-08-06T16:57:28.058748Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.05103","last_updated":"2025-03-24T10:24:02Z","snapshot_observed_at":"2026-08-11T04:49:18.598412Z","submitted_at":"2022-09-12T09:16:27Z","title":"Presentability and topoi in internal higher category theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.05103","snapshot_observed_at":"2026-08-06T16:57:28.158106Z","title":"[Qui72] D","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:28.158106Z"},"links":{"cited_paper":"/paper/2209.05103","citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:357287829c9a33720caaff5a115a69f3d84e0fcf6d16348d3123989d90a654c6","observation_id":"3ed81737-69e2-4615-a9bf-8f9e705deafa","resolution":{"observed_at":"2026-08-06T16:57:28.158106Z","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":"2026-08-06T16:57:29.216337Z","title":null,"venue":null,"work_id":"3636ab89-b210-4964-af25-0a7e36303e23","year":1990},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:28.430194Z"},"links":{"citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:fd0ebd8ee3f41327395654fe6ce165de17bd9c178eaf7850037eff08c4b3f05c","observation_id":"4d4e797e-bc3f-49a6-9d26-722b22d32937","resolution":{"observed_at":"2026-08-06T16:57:29.290974Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:57:30.112724Z","title":null,"venue":null,"work_id":"74c72616-e247-474e-95b2-c77780566ebc","year":2017},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:27.448258Z"},"links":{"citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:e78991af965dba166e5ff7f18a3e1e164494ade844ff1485107e79f6770f83b5","observation_id":"07acd004-ee62-4950-8839-55e99f905c90","resolution":{"observed_at":"2026-08-06T16:57:30.191681Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:57:29.791648Z","title":"Princeton University Press, Princeton, NJ, 2009, pp","venue":null,"work_id":"09fc94ed-83af-4d9d-b2c0-174f56fdb37c","year":2024},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":170,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:27.954702Z"},"links":{"citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:a25a73c14756f33062d126a7f3067da3201a4137752305fb390d7bc7f269828d","observation_id":"a438d0ca-ec5f-4469-ab65-bd66be9d05a2","resolution":{"observed_at":"2026-08-06T16:57:29.889185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:57:29.590636Z","title":"Springer, Berlin-New York, 1973, pp","venue":null,"work_id":"a3561fe6-6162-42ea-a31e-d719dd82028b","year":1973},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":341,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:28.243247Z"},"links":{"citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:2224ae56aac748cd304e0981b70d74e53a1ab48a01a9480626e0588f559064bf","observation_id":"62d8da60-dfcc-4f20-b400-539e6f1c1255","resolution":{"observed_at":"2026-08-06T16:57:29.687229Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:57:29.973416Z","title":"[Hoy17] M","venue":null,"work_id":"a53c1d90-d30a-444d-98a7-b8f785517d1e","year":2017},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:27.759892Z"},"links":{"citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:546385364f78eef3e547585c369178964c42a1b559d55748bf399335a0ecd2b1","observation_id":"c0252954-9db7-49c4-99c5-1b17661725df","resolution":{"observed_at":"2026-08-06T16:57:30.040898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:57:29.374655Z","title":null,"venue":null,"work_id":"db1b83d8-595b-4a09-bf1c-b37fc81164a8","year":1985},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:28.351130Z"},"links":{"citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:4fe9c4fee4db8cbe8bc9f719aa3137764515f8071379236a8d63bdbeb6591d88","observation_id":"dcd3a8bb-7212-4a25-9953-cc01bb5107ad","resolution":{"observed_at":"2026-08-06T16:57:29.503843Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.10325","last_updated":"2022-06-30T22:55:41Z","snapshot_observed_at":"2026-08-06T19:31:59.110732Z","submitted_at":"2020-10-20T14:49:57Z","title":"Galois reconstruction of Artin-Tate $\\mathbb{R}$-motivic spectra","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.10325","snapshot_observed_at":"2026-08-06T16:57:27.520410Z","title":"[CLL25] B","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:27.520410Z"},"links":{"cited_paper":"/paper/2010.10325","citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:769da7c7da80c1874aede773d334da41ee8f82a2e5ed96929a7b93326306296a","observation_id":"374422de-15c1-4cc9-bf1c-bef60f1ed497","resolution":{"observed_at":"2026-08-06T16:57:27.520410Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.09390","last_updated":"2024-10-04T18:28:32Z","snapshot_observed_at":"2026-07-06T19:02:03.017798Z","submitted_at":"2024-08-18T07:19:07Z","title":"Chow rings of quasi-split geometrically almost simple algebraic groups","version":2},"cited_work":{"arxiv_id":"2408.09390","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.09390","snapshot_observed_at":"2026-08-06T16:57:29.087253Z","title":"Chow rings of quasi-split geometrically almost simple algebraic groups","venue":"math.AG","work_id":"823e3fbd-de99-4e4e-b96b-a92ef0e68412","year":2024},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:27.373763Z"},"links":{"cited_paper":"/paper/2408.09390","citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:f69ae8aa4274e08538a18c0d51d7462ba7ae7be580fcf236abe293883ac7fcea","observation_id":"bfac31ee-1b9a-48ca-9763-41f9c3c9e057","resolution":{"observed_at":"2026-08-06T16:57:29.140629Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.11001","last_updated":"2025-05-06T16:18:59Z","snapshot_observed_at":"2026-07-06T15:56:34.157958Z","submitted_at":"2023-07-20T16:29:19Z","title":"Partial parametrized presentability and the universal property of equivariant spectra","version":2},"cited_work":{"arxiv_id":"2307.11001","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.11001","snapshot_observed_at":"2026-08-06T16:57:28.906310Z","title":"Partial parametrized presentability and the universal property of equivariant spectra","venue":"math.AT","work_id":"f2578268-b220-4fdf-8581-ae19680e6af4","year":2023},"citing_paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:27.597195Z"},"links":{"cited_paper":"/paper/2307.11001","citing_paper":"/paper/2507.12954"},"observation_digest":"sha256:55a458ce5f413b4935d54db396653b6aa46469fa2abd8701a41209781b100761","observation_id":"a78cfa21-6faf-4146-aca5-2c06598d2166","resolution":{"observed_at":"2026-08-06T16:57:28.998599Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.12954","last_updated":"2025-07-17T09:49:27Z","latest_version":1,"primary_category":"math.KT","snapshot_observed_at":"2026-08-10T08:51:42.669767Z","submitted_at":"2025-07-17T09:49:27Z","title":"On the K-theory of algebraic tori"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":6,"verified_exact":3,"verified_fuzzy":3},"total_outbound_references":13},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2507.12954."}