{"as_of":"2026-08-09T05:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:99e34b086c491160bc81dcbb819a88a0305fe9c07b00feff66d9575e285662e8","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T13:15:43.165972Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2608.02180/citation-record","integrity":"/paper/2608.02180/integrity","json":"/paper/2608.02180/citation-record.json","paper":"/paper/2608.02180"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T13:15:41.183593Z","title":"Adjunction of roots, algebraic K-theory and chromatic redshift","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.183593Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:d5666da1c0c397154d54977bbe27a99c24e16217fa749bc020775655dee1cf5e","observation_id":"7b9b6985-2b51-438b-a60d-beb87718a5f3","resolution":{"observed_at":"2026-08-04T13:15:41.183593Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2602.14380","last_updated":"2026-06-10T16:37:35Z","snapshot_observed_at":"2026-08-07T09:34:29.474553Z","submitted_at":"2026-02-16T01:12:50Z","title":"Syntomic cohomology of truncated Brown--Peterson spectra","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2602.14380","snapshot_observed_at":"2026-08-04T13:15:41.249818Z","title":"Syntomic cohomology of truncated Brown--Peterson spectra","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.249818Z"},"links":{"cited_paper":"/paper/2602.14380","citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:3913436a4c3d5732fb9b5b01ee3e6c6265f40771e5ef273f3f913c8392442ff4","observation_id":"fe381db8-4209-4fb9-9ac0-af3e8a7b623b","resolution":{"observed_at":"2026-08-04T13:15:41.249818Z","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":"2026-08-04T13:15:41.307730Z","title":"Algebraic K-theory of topological K-theory","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.307730Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:f24d4aec8f7569f41d13a89fa03f7538d29f40271a917f82cd6325bffd58b554","observation_id":"89df64d9-d52a-4001-a2f3-5368d63e551d","resolution":{"observed_at":"2026-08-04T13:15:41.307730Z","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":"2026-08-04T13:15:41.380258Z","title":"The chromatic red-shift in algebraic K-theory","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.380258Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:bb684942cdb76ceec9238a7093d9d1d1e72605362d2c544d99ded73f5c058989","observation_id":"325b41cb-e3cd-4705-995a-d73c4c736ea6","resolution":{"observed_at":"2026-08-04T13:15:41.380258Z","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":"2026-08-04T13:15:41.443064Z","title":"Schlank, and Lior Yanovski","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.443064Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:9e17fa4169e07901085b203edf99bb518060fd3651bb1ad6f6878b3069fb4ea9","observation_id":"19814612-a583-4ac1-b472-4e70c1743fd2","resolution":{"observed_at":"2026-08-04T13:15:41.443064Z","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":"2026-08-04T13:15:41.531994Z","title":"Galois extensions of Lubin-Tate spectra","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.531994Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:3459f65666275969100d387583eda5537e095b81fa6b8c6a0694346df6a3a6a9","observation_id":"e9b6afb7-6ba3-4eb1-84b2-6b0e0247c389","resolution":{"observed_at":"2026-08-04T13:15:41.531994Z","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":"2026-08-04T13:15:41.620414Z","title":"Schlank, and Allen Yuan","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.620414Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:f4e37fcda0070ce46004304440f8c14e4ec50ef653728e67c0520adc71c53e60","observation_id":"81208dcf-a123-4cd5-9683-f13a8ee3bebe","resolution":{"observed_at":"2026-08-04T13:15:41.620414Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.08399","last_updated":"2024-07-11T11:04:16Z","snapshot_observed_at":"2026-07-06T18:44:45.459377Z","submitted_at":"2024-07-11T11:04:16Z","title":"Normed equivariant ring spectra and higher Tambara functors","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.08399","snapshot_observed_at":"2026-08-04T13:15:41.698114Z","title":"Normed equivariant ring spectra and higher Tambara functors","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.698114Z"},"links":{"cited_paper":"/paper/2407.08399","citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:69f76e586aaf39377905905a581b2f460a913f4b32a141042a21f9ec66dc1e18","observation_id":"dece6a7e-a9f3-4273-b1f2-bf1fe86aeb66","resolution":{"observed_at":"2026-08-04T13:15:41.698114Z","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":"2026-08-04T13:15:41.777416Z","title":"Descent and vanishing in chromatic algebraic K -theory via group actions","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.777416Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:42dc05030a0d4f6dabbec97b62b548fa5e5ab5f0a7ac6eac80b8af2045746023","observation_id":"1e052bcf-7b34-4afc-8153-586cd75be79a","resolution":{"observed_at":"2026-08-04T13:15:41.777416Z","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":"2026-08-04T13:15:41.865727Z","title":"Devinatz and Michael J","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.865727Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:d4f44dde6bee79535848042b087a8c1f8c0d7d50cd518c5dbb0822502004ee72","observation_id":"fab7ad0a-4c48-4d5d-ae16-d78538bc0dd1","resolution":{"observed_at":"2026-08-04T13:15:41.865727Z","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":"2026-08-04T13:15:41.959839Z","title":"On distributivity in higher algebra I: the universal property of bispans","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:41.959839Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:80fec8962329b8d71c9fa3eeb64cd0d3b7153b1bfb8b7eaa49c77588388a8df9","observation_id":"355a2302-f5be-4639-801f-f9db6e6ce30f","resolution":{"observed_at":"2026-08-04T13:15:41.959839Z","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":"2026-08-04T13:15:42.014300Z","title":"A Descent view on Mitchell's theorem","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.014300Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:01c5126a98d20450249bb0aa1389d3cc695d60360ce944e9003967cc86893c87","observation_id":"b211eb7a-66d3-4a57-88e2-d6c9d14cb5db","resolution":{"observed_at":"2026-08-04T13:15:42.014300Z","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":"2026-08-04T13:15:42.065465Z","title":"Equivariant chromatic localizations and commutativity","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.065465Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:0409cd1ebb6620de38dc757863e3a77fdc0b8202842aadab8033f238f0390fe2","observation_id":"d9530110-0eb6-4914-bd8a-8d7d84f09f85","resolution":{"observed_at":"2026-08-04T13:15:42.065465Z","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":"2026-08-04T13:15:42.132615Z","title":"Equivariant localizing motives and multiplicative norms on algebraic K-theory","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.132615Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:bfb1a933506cc0266d35dac61a1ecda5fd2bbfe83f9f9749621ff89332aee76d","observation_id":"12a2ac3a-b322-4659-ab09-58049e569480","resolution":{"observed_at":"2026-08-04T13:15:42.132615Z","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":"2026-08-04T13:15:42.201530Z","title":"Redshift and multiplication for truncated Brown--Peterson spectra","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.201530Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:97ebedaac3438bdbb053714c19961f0f43ade95376fdf8757bd58c7bc805a335","observation_id":"f4256a45-ea0b-4e0e-bbd7-572192518c0c","resolution":{"observed_at":"2026-08-04T13:15:42.201530Z","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":"2026-08-04T13:15:42.298905Z","title":"Tate cohomology and periodic localization of polynomial functors","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.298905Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:0340f305715cffa72cfa2867f5678bfd47605f38be789af99be499599f451b7e","observation_id":"0779c59f-17f0-488f-a859-accc6305d86d","resolution":{"observed_at":"2026-08-04T13:15:42.298905Z","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":"2026-08-04T13:15:42.363220Z","title":"Purity in chromatically localized algebraic K -theory","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.363220Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:e4089dab1fb1188b9569872684f0bd25af22a84bf0a76659ef4d62016ae5e5f0","observation_id":"a12d73c2-405b-47b8-84f2-12c1bcd67ffe","resolution":{"observed_at":"2026-08-04T13:15:42.363220Z","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":"2026-08-04T13:15:42.443501Z","title":"On the K -theory of pullbacks","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.443501Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:2f0f341e8697e265b160a0af8e7b112da63513c564ea380fec297515e431e591","observation_id":"3ded75c5-9bbe-47f4-97a4-e602fd0c4920","resolution":{"observed_at":"2026-08-04T13:15:42.443501Z","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":"2026-08-04T13:15:42.528597Z","title":"The Galois group of a stable homotopy theory","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.528597Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:aa18c7d77969e07b7499a4df1660b147620dd3caf85eace00b04ef0ac7afcd63","observation_id":"38098558-c180-4e86-be6f-2eaf12167c73","resolution":{"observed_at":"2026-08-04T13:15:42.528597Z","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":"2026-08-04T13:15:42.615593Z","title":"The Morava K-theory of algebraic K-theory spectra","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.615593Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:8d2f6dd7e127dc4093525062a738654bed5713a850913532bf9a2c1da34c5536","observation_id":"1f9eac0f-ea56-442d-a1ae-36044d1966dd","resolution":{"observed_at":"2026-08-04T13:15:42.615593Z","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":"2026-08-04T13:15:42.676378Z","title":"Algebraic K-theory of finitely presented ring spectra","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.676378Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:2c161cf25650c014923d31b1f48ffd36b6c6c92714f468a09a13bd9ff27cc792","observation_id":"f8948f4d-e1fd-4ff3-89e9-73beb8886ce9","resolution":{"observed_at":"2026-08-04T13:15:42.676378Z","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":"2026-08-04T13:15:42.754288Z","title":"Galois Extensions of Structured Ring Spectra","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.754288Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:d186537ba25b3102a4fb9886946d7a5563134f7eba6e9506845db810ef4ecd8d","observation_id":"41c293f6-57d4-49fb-9e37-d5d5c17e8c0e","resolution":{"observed_at":"2026-08-04T13:15:42.754288Z","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":"2026-08-04T13:15:42.801370Z","title":"Motivic cohomology with Z/2 -coefficients","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.801370Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:309d6ae420e872818c328749540398d7c3e6eff3e9d89204c797f243b0465fb2","observation_id":"ddcc7a83-b01d-46f3-9277-d4649869a35e","resolution":{"observed_at":"2026-08-04T13:15:42.801370Z","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":"2026-08-04T13:15:42.955452Z","title":"On motivic cohomology with Z/l -coefficients","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:42.955452Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:1f3a9c97720ce1bc1fdda0cef8a4f32551f643b2384775cf734358b061630e4d","observation_id":"94d3776f-4a54-4185-a922-5c731b809766","resolution":{"observed_at":"2026-08-04T13:15:42.955452Z","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":"2026-08-04T13:15:43.079263Z","title":"Algebraic K-theory of spaces, localization, and the chromatic filtration of stable homotopy","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:43.079263Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:e40e9f70135c5dd892afd0b12d1bb8f07637f08d7f298472da0e943cbfab1e9a","observation_id":"57bfa15f-02e1-4f43-b1a5-4938b00a6dd3","resolution":{"observed_at":"2026-08-04T13:15:43.079263Z","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":"2026-08-04T13:15:43.165972Z","title":"Examples of chromatic redshift in algebraic K -theory","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-04T13:15:43.165972Z"},"links":{"citing_paper":"/paper/2608.02180"},"observation_digest":"sha256:d5a752b41d8ce69571210984f8fe141fa119ccb00438c33410d1ee6965f5d058","observation_id":"75f923f5-8afb-4b3f-8519-879143f45213","resolution":{"observed_at":"2026-08-04T13:15:43.165972Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.02180","last_updated":"2026-08-03T13:01:46Z","latest_version":1,"primary_category":"math.KT","snapshot_observed_at":"2026-08-07T14:57:42.497115Z","submitted_at":"2026-08-03T13:01:46Z","title":"The Redshift Bound from Quillen-Lichtenbaum"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":26,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":26},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2608.02180."}