{"as_of":"2026-08-12T21:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:59975adb28bdbe125900fa68bd5a050b3068495d00a5e14a7a88434cd52813f4","coverage":[{"denominator":54,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":54,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T21:30:23.329885Z","state":"measured"},{"denominator":57,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":57,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-11T01:53:17.687536Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T04:15:55.547446Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"cited_work":{"arxiv_id":"2603.14116","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.14116","snapshot_observed_at":"2026-06-25T02:18:12.248819Z","title":"On some results of K orobov and L archer and Z aremba's conjecture","venue":null,"work_id":"253af0c2-9137-4036-93af-3c4435bc56f1","year":2026},"citing_paper":{"arxiv_id":"2604.19094","last_updated":"2026-04-21T05:19:53Z","snapshot_observed_at":"2026-07-06T23:05:48.885141Z","submitted_at":"2026-04-21T05:19:53Z","title":"Independent Sets and Continued Fractions","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-05-10T02:50:26.211092Z"},"links":{"cited_paper":"/paper/2603.14116","citing_paper":"/paper/2604.19094"},"observation_digest":"sha256:4398585670162e035a7b9057df7ae10df56a0b3c0b50498b2925d87eb292f50f","observation_id":"8beab579-1d09-4ad4-969a-d64426a9aa18","resolution":{"observed_at":"2026-06-25T02:18:12.248819Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"cited_work":{"arxiv_id":"2603.14116","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.14116","snapshot_observed_at":"2026-06-25T02:18:12.248819Z","title":"On some results of K orobov and L archer and Z aremba's conjecture","venue":null,"work_id":"253af0c2-9137-4036-93af-3c4435bc56f1","year":2026},"citing_paper":{"arxiv_id":"2605.02518","last_updated":"2026-05-08T15:40:58Z","snapshot_observed_at":"2026-08-12T14:42:26.396038Z","submitted_at":"2026-05-04T12:18:19Z","title":"Expansion in $\\text{SL}_2(\\mathbb Z/q\\mathbb Z)$ and Zaremba's conjecture","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-08T19:05:09.049795Z"},"links":{"cited_paper":"/paper/2603.14116","citing_paper":"/paper/2605.02518"},"observation_digest":"sha256:dc5b58ca76765889af9855d7832cc14d97b92aa88d125bcf7242b62bb2689765","observation_id":"aca82477-9c4a-44da-a0ac-7410fb59b276","resolution":{"observed_at":"2026-06-25T02:18:12.248819Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"cited_work":{"arxiv_id":"2603.14116","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.14116","snapshot_observed_at":"2026-06-25T02:18:12.248819Z","title":"On some results of K orobov and L archer and Z aremba's conjecture","venue":null,"work_id":"253af0c2-9137-4036-93af-3c4435bc56f1","year":2026},"citing_paper":{"arxiv_id":"2605.02518","last_updated":"2026-05-08T15:40:58Z","snapshot_observed_at":"2026-08-12T14:42:26.396038Z","submitted_at":"2026-05-04T12:18:19Z","title":"Expansion in $\\text{SL}_2(\\mathbb Z/q\\mathbb Z)$ and Zaremba's conjecture","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-11T01:53:17.687536Z"},"links":{"cited_paper":"/paper/2603.14116","citing_paper":"/paper/2605.02518"},"observation_digest":"sha256:568997aa1c98db6393701b14d3177c12858ce9d800cbf3996e29015bfd447f02","observation_id":"ab646ad6-9963-412e-b3c2-305a9e61b891","resolution":{"observed_at":"2026-06-25T02:18:12.248819Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2603.14116/citation-record","integrity":"/paper/2603.14116/integrity","json":"/paper/2603.14116/citation-record.json","paper":"/paper/2603.14116"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T21:30:23.329885Z","title":"Bourgain and S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:5e3a2dcb3be4e3f8ab0def260c898d436d7f889d17eaba5b97d764c4868a4a25","observation_id":"ebb6aad9-fa25-4f93-af41-720898f98dbf","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Bourgain and S","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:41a97c5a15dcc0ad7bbed93f22aee64239b05d875c48659e27d25fa82c786069","observation_id":"488a3d84-0bfd-4124-a7a1-56ebb26886ea","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Bourgain and A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:3ebbd222830a0d4dbd1f09c949f220705fb9622228c91ef1e77360a2c2791dac","observation_id":"547e411c-b23c-4173-9000-1c5484eca2bc","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Bourgain and A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:afac4adbdd9998213ba8c1b3cd3ebb99288259fee0299e50b26fc8edd0877b38","observation_id":"15d8f9a3-0f08-42fd-9b4c-b01b101d59a0","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Bourgain, A","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:1ba013c1e942a4f7173590e5da15e12d00ae69bb61612c41bc90c64e08cbcbda","observation_id":"9c0056f3-9fed-4457-8ba5-711b3ce30945","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Bourgain and A","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:4dd43591a0415849d9b543a6a683e49999aabddbd387277da95c91baa4a8b8f8","observation_id":"ab568550-e323-4a3c-bcc1-a70df4237912","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Bourgain and A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:8ba59321a1ec4ea4aca5ea567fd7d8b9966edf357d7b64b696a82b771d45d12f","observation_id":"346a0219-ff03-4947-92e1-a97acdd8dd60","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.18782","last_updated":"2025-06-30T19:14:26Z","snapshot_observed_at":"2026-08-12T10:51:05.385410Z","submitted_at":"2024-11-27T22:11:33Z","title":"Spanning trees and continued fractions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.18782","snapshot_observed_at":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"cited_paper":"/paper/2411.18782","citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:923a3adcaf09655a7eef3f2233444b42ea1161d1e45e3c07a4d5c9d7c61e9fe2","observation_id":"f4bc98bb-c5e6-4d67-a8a5-9c603566e1ae","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.19168","last_updated":"2025-05-25T14:36:42Z","snapshot_observed_at":"2026-08-09T08:14:08.349650Z","submitted_at":"2025-05-25T14:36:42Z","title":"Effective resistance in planar graphs and continued fractions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.19168","snapshot_observed_at":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"cited_paper":"/paper/2505.19168","citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:735db67979a90498beabe5edad1413e59195cb910a147f4fa1fec60cf6682811","observation_id":"38391ca5-7b5e-4cdc-912f-e2e0221dfa69","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:acd80a30b826d9d1b347816afb791a812b02da149edc86993feec384ec3f05f6","observation_id":"1377fd41-da68-4e87-8d08-81390150dabb","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:e1b5752402c32520f27ece5895d26444e57901fe68b20250c39c0bda57ad66a5","observation_id":"b9e9c6ec-0ada-42a2-b60b-e7379a62c779","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:aa233f1a70feb949cdfaa424d11ec63d17e120ee409315c6f96904c60faebd47","observation_id":"acd005ec-f139-4030-82d8-984718a64244","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:8d713c52be1dc63a8304beae9571f6b24ecce6ab00296c0e7f583c97aeb815da","observation_id":"619ac21b-585b-45e7-9528-175b216fae3b","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Dyatlov and J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:560474d426037b693fc9d7d71990afab761fab9902371070f2b79b9c2a73a245","observation_id":"5dba85aa-5008-4ea2-9ee6-c6f07f667bcc","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:a01908cff54c0c6f9c894a6f8798bbc3397c487416eef71d832b8ed949bb5ca9","observation_id":"e263ad3c-23ee-4d56-86e4-2edc96306411","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:8ccfcc0fd11357e8a5808819eb7c4f543e0e129e03a0b1c210933cf017bbe310","observation_id":"9fc11e2c-cfd2-4d5e-9344-d5b7e35670e2","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:0edde0b6c58ec67a4798f69d1ce4ce61049cf92c95ffdd4cc52fcfee2d523400","observation_id":"fe8f6cb3-1746-4a46-a40e-05fcc205b5be","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:91fccc6b03f111b2d9f2e8fc6c8eb2d0c52ecd7a9a9205bca8cd321897f82ec5","observation_id":"5a6a07bb-6def-4e73-92d1-ad11b008b29b","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:b5c719ce6aa1a8ce6213201fed2280cc7cd5597b2652db0651390aee049a9258","observation_id":"4394bece-91f3-43bc-b1ac-39cf86b730b8","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:4d232a951c7bbb863a219b9741a515f54a68056b199b6b7840e147be3ba480b0","observation_id":"62f339bc-998c-4aa2-bccb-ab7b3a71c75f","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:dd48f39f2b1aa754a61d733d7ae4405d21e9e9e2e16ede5e3f39dcce4d930948","observation_id":"f274c99e-5293-4efa-9df1-e6abe640a507","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:5479fc0f42dbb32195b9a4d2ee9c3295580ca497c87ec2ed4d4af5b92f9a3fe0","observation_id":"9b85b81d-d2e1-4d64-918d-d32af2f9a4c5","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:a324006187a54a77c8903266fe9cd23847136f83c3d1a67aa2d279c5992bf7e0","observation_id":"d99bde14-3824-4840-9e1a-358b6b35121d","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:eec45aae28adc7532ad4e8fd797c901cf74f35a07ee1e93e96c25afde3f983e6","observation_id":"9162e32c-9c8a-498c-ae83-04287d4ad329","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:9955b934d74ab72378a34bef8e0f670145d824438ba069967121e3ea96cb1dd2","observation_id":"a5441f11-9a56-4b90-8685-008b2b23a7df","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1942},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:8a008597f7e1cd0929dfe87e13fb7bf94a90b7af3b5d1fed51d64558badff15b","observation_id":"590c5880-d2ed-4d92-93ec-669ea7f5d718","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Kontorovich","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:d85675673d4ee1c4f6f995deb4eb81b34f8d77002ee8d5f8970c8d99f75b000c","observation_id":"3bd3de7c-2d27-4217-b0c5-e37d9249fc80","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:67b996bff29fb47b22827fecdc481af888749b33bf4af8de2e118105a6e15891","observation_id":"6c01bf51-4364-449b-b92c-736be205e599","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:7fa29d508e6a593b3e953cbb1b1141a2c31e94cb8eb8452eec35a2c6b104aa01","observation_id":"1a07e145-c845-463b-a383-ed947fe6af18","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:fff6d15dad4df99d80356904bba31f5328863160478c8549e08710f095053d42","observation_id":"6a15d3e0-58c0-41a7-a7e0-9b209d4a2ad6","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:e75c9d08d10fff47f9426bf04e12d5570c408f8f839f0ea6f8065c6109b01730","observation_id":"02b1bffc-d431-4728-a4f3-7b15198d4fb4","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Kravitz and A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:357c7caefea77707acc6ea52d3be62db372b19846e3e4359f09e468e6792765b","observation_id":"a822e873-1a08-4f3c-bf73-ea0e26249967","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Kuipers and H","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:61c1cbaf256b5bed38635617295c54f9933f8ebb762c4118f4f567c03dced24b","observation_id":"3fe1e779-9872-4a1f-99bf-b3f20914886f","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:9286ad20a054a18461160313973f1f542f98f99cab5eaac235569adcf0b03a08","observation_id":"c3e93c98-4f09-4cdd-9eb8-799ecf88eb90","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:df77d98a8552e38cf123028b7a6b00e6c9578928b840e6f769d9706c81779d72","observation_id":"f261b66a-ccb9-4c88-8ac0-0afb67f8b30a","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:124397bfd7c17e060796c2c2bee9931d1ebf931f4e358d5df5b9e15d9f028cb1","observation_id":"9c06dd9c-df7d-4f18-8869-996ad2d8532d","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:76b72883b891ceed50a96b53849effb040010af83fb10a83f817b63852e53f9c","observation_id":"7639c2af-8d49-4fd0-81b6-c345d5634723","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Moshchevitin and I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:927adcc914271504423d8bd8709f130362659a93cfeb67c90e6600daa6a845e1","observation_id":"0bf9e404-8856-4e79-9294-1148562920c7","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Moshchevitin, B","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:80d85c2c04a26c049b29f4cb36438446e386c1227ae7d3d5fc081cac54f7a684","observation_id":"92846ed2-677c-40d4-a93f-e8c2be73b749","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Moshchevitin, B","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:a7dc0f986fa08156eda41b8075ba6783772ba048dda4cd498e9f745973f09e57","observation_id":"913ea369-4395-4f4a-8075-8a40b4d26eaa","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:3bf348064e6dc2d57a8b5dc1eccd2eab362f0efacbe9be71a2d0bac012692ed8","observation_id":"6316faaa-850f-41f5-b979-00cbc635cb1b","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1202.4539","last_updated":"2012-12-22T07:07:54Z","snapshot_observed_at":"2026-08-11T03:36:33.132621Z","submitted_at":"2012-02-21T06:47:47Z","title":"On some open problems in Diophantine approximation","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.4539","snapshot_observed_at":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"cited_paper":"/paper/1202.4539","citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:01329a3135eb8e853e9c35aff9b36c6ebd46c519a93fa40a0662adfeb44a5905","observation_id":"acef7208-07ef-4a3f-9ef0-c9a01b90ecd6","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:d27b524bb1a056fa707d47298b375497344bb93e21dcbd50fc05d87e879e5b3d","observation_id":"306d6bc7-082a-4997-93ae-201c41da5e25","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:8887d0b41615b4cd59b22cda50db66ef624bdd598ae5aca595483c055035a34d","observation_id":"80313311-968a-4603-9291-c19f88b87f40","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Niederreiter","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:8cd8dab6fa5bb2fc04894d10b815874f1d5c1462b983588dbafdf97bb41ca7f2","observation_id":"21ba9ca4-0069-4b1c-a826-03adfa52a43c","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"Rukavishnikova","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:b9c515d81e3799b2fab28e14de3d626ec862d051cbfccb126931a415cfff3308","observation_id":"af274865-393d-4c0a-a474-2aa22197de76","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:306940cca77128b4b10afe95e0f4432d03142076695a0a0a2c4e4cb704813897","observation_id":"9c1d398d-4827-4a93-9f1a-413d9a2aaba3","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:6a85bb457e7b0a9e50f318e753e0b57394a0a67bf7a61bef7372153e48500d8e","observation_id":"b206a736-f09f-4789-a214-9167d71adf62","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1945},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:d7ca46d789c1e53ed4245b69cdd807c4df2fae74b21e7494b2b291a0e3bb8535","observation_id":"66d771ea-4411-465d-bcaf-34697b5838a4","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:cf8681542df10b0b6197b8533c5cd7d73a3fbc1605bd9bcdb3df69e0ed8464fb","observation_id":"ffef7ca7-cdcc-436a-ad82-0c0aeeb2f8e7","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.03156","last_updated":"2023-07-06T17:30:56Z","snapshot_observed_at":"2026-07-06T15:51:08.374279Z","submitted_at":"2023-07-06T17:30:56Z","title":"Some applications of representation theory to the sum-product phenomenon","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.03156","snapshot_observed_at":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"cited_paper":"/paper/2307.03156","citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:de19c743132612ad261723e3204cca524fb9349b889cfbc7e11c28a611725f76","observation_id":"ce3a6a20-abea-4723-8391-223628ee6e62","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:4994bce6376c42c8d353108dcfbb20e3d73e507fe785b5abbdb8275b64ba852c","observation_id":"e6cb34c7-73cb-4cf5-b234-ade4392795f6","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:b2f9a642376f515d3844feea4af1cb7b360e04a69ff8a8d8b27a9646ea652e3b","observation_id":"5a4f3fe4-363e-4c0b-a9ab-ca630c8ff522","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","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":"2026-07-14T21:30:23.329885Z","title":"bons treillis","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-07-14T21:30:23.329885Z"},"links":{"citing_paper":"/paper/2603.14116"},"observation_digest":"sha256:571e705ed844383a8963a50a03165549f47cd15f8cc704e52c63c7abf835ec15","observation_id":"3c32228c-b4d1-4aab-8beb-de68cf3b2326","resolution":{"observed_at":"2026-07-14T21:30:23.329885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2603.14116","last_updated":"2026-06-24T17:34:59Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-09T05:46:30.270364Z","submitted_at":"2026-03-14T21:05:48Z","title":"On some results of Korobov and Larcher and Zaremba's conjecture"},"reference_resolution":{"displayed":54,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":54,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":54},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 3 inbound Pith citation observations for arXiv:2603.14116."}