{"as_of":"2026-08-16T04:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:21dfd699b55da39e91349710ec7f2bc6e0902aec865400955c31674e7c10bfb5","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:56:29.937405Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/1908.04365/citation-record","integrity":"/paper/1908.04365/integrity","json":"/paper/1908.04365/citation-record.json","paper":"/paper/1908.04365"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:30.236660Z","title":"Berndt, H","venue":null,"work_id":"8ed94d82-92e9-4116-8deb-a47f899d12e5","year":1999},"citing_paper":{"arxiv_id":"1908.04365","last_updated":"2019-10-07T07:52:23Z","snapshot_observed_at":"2026-08-14T19:14:24.402960Z","submitted_at":"2019-08-12T20:18:59Z","title":"On $q$-deformed real numbers","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:29.870046Z"},"links":{"citing_paper":"/paper/1908.04365"},"observation_digest":"sha256:f9f1205e710cce7beb7a17d8bcb66a7a40471a57a4dd43b3972a2f1c3b968926","observation_id":"7dd2f5e3-2421-467e-8209-93f1b4d9f2e5","resolution":{"observed_at":"2026-08-14T13:56:30.245762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:56:30.208518Z","title":"Borwein, A","venue":null,"work_id":"3e422034-0e69-4350-b25b-12600825b049","year":2014},"citing_paper":{"arxiv_id":"1908.04365","last_updated":"2019-10-07T07:52:23Z","snapshot_observed_at":"2026-08-14T19:14:24.402960Z","submitted_at":"2019-08-12T20:18:59Z","title":"On $q$-deformed real numbers","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:29.876341Z"},"links":{"citing_paper":"/paper/1908.04365"},"observation_digest":"sha256:5cb9fd80bdab25f2af90812fbbc1f2366d80accfd3bf3107a092f9c284ce98ac","observation_id":"adbe27c2-af5c-4e63-a953-749bd053891c","resolution":{"observed_at":"2026-08-14T13:56:30.219064Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1707.04654","last_updated":"2017-10-23T15:10:04Z","snapshot_observed_at":"2026-08-14T20:47:32.500143Z","submitted_at":"2017-07-14T22:12:18Z","title":"Automated Proofs of Many Conjectured Recurrences in the OEIS made by R.J. Mathar","version":2},"cited_work":{"arxiv_id":"1707.04654","doi":null,"metadata_source":"pith","pith_arxiv_id":"1707.04654","snapshot_observed_at":"2026-08-14T13:56:30.020940Z","title":"Automated Proofs of Many Conjectured Recurrences in the OEIS made by R.J. Mathar","venue":"math.HO","work_id":"db040a32-b164-4377-88a8-c548a8c3db0d","year":2017},"citing_paper":{"arxiv_id":"1908.04365","last_updated":"2019-10-07T07:52:23Z","snapshot_observed_at":"2026-08-14T19:14:24.402960Z","submitted_at":"2019-08-12T20:18:59Z","title":"On $q$-deformed real numbers","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:29.885024Z"},"links":{"cited_paper":"/paper/1707.04654","citing_paper":"/paper/1908.04365"},"observation_digest":"sha256:4890f57381fde5dd3aa2c981049b9040449c24ef35430fb0998f9b8b64c076f8","observation_id":"5deff700-eabb-426c-8a8c-b2ae6f530296","resolution":{"observed_at":"2026-08-14T13:56:30.030805Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:56:30.180947Z","title":null,"venue":null,"work_id":"d3809d6d-03c3-4c6f-8a17-f9a0975b8907","year":2008},"citing_paper":{"arxiv_id":"1908.04365","last_updated":"2019-10-07T07:52:23Z","snapshot_observed_at":"2026-08-14T19:14:24.402960Z","submitted_at":"2019-08-12T20:18:59Z","title":"On $q$-deformed real numbers","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:29.892846Z"},"links":{"citing_paper":"/paper/1908.04365"},"observation_digest":"sha256:f256b7498ebc6af50f7b1da7382675056cdc8cd50a45736422386106106e3c63","observation_id":"291f63f2-b0f8-4b0e-bf8b-b8ede71d2a3c","resolution":{"observed_at":"2026-08-14T13:56:30.188038Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:56:30.157095Z","title":"Morier-Genoud, V","venue":null,"work_id":"65f0ca82-0c0c-4077-bddf-4a1e3f137e73","year":2019},"citing_paper":{"arxiv_id":"1908.04365","last_updated":"2019-10-07T07:52:23Z","snapshot_observed_at":"2026-08-14T19:14:24.402960Z","submitted_at":"2019-08-12T20:18:59Z","title":"On $q$-deformed real numbers","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:29.901718Z"},"links":{"citing_paper":"/paper/1908.04365"},"observation_digest":"sha256:33aa7d4fc58dfaf89a711b7b1c21fca7f9d0edcf3019d25e2302b76f369ef23e","observation_id":"44504191-ad2f-4e93-8d77-1daa38fd76eb","resolution":{"observed_at":"2026-08-14T13:56:30.165837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1812.00170","last_updated":"2020-02-13T08:33:57Z","snapshot_observed_at":"2026-08-14T19:14:06.980205Z","submitted_at":"2018-12-01T07:43:35Z","title":"$q$-deformed rationals and $q$-continued fractions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.00170","snapshot_observed_at":"2026-08-14T13:56:29.912842Z","title":"Morier-Genoud, V","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.04365","last_updated":"2019-10-07T07:52:23Z","snapshot_observed_at":"2026-08-14T19:14:24.402960Z","submitted_at":"2019-08-12T20:18:59Z","title":"On $q$-deformed real numbers","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:29.912842Z"},"links":{"cited_paper":"/paper/1812.00170","citing_paper":"/paper/1908.04365"},"observation_digest":"sha256:48d8eadb55f686395335ec5e0e871c8163b8aa49679729d8694fc21d28cf5134","observation_id":"5e211970-0116-4fa3-a12e-eb8a8ee19e22","resolution":{"observed_at":"2026-08-14T13:56:29.912842Z","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":"2026-08-14T13:56:30.130104Z","title":null,"venue":null,"work_id":"8ee9b714-40b1-4cbf-b95f-be36e3950cb4","year":null},"citing_paper":{"arxiv_id":"1908.04365","last_updated":"2019-10-07T07:52:23Z","snapshot_observed_at":"2026-08-14T19:14:24.402960Z","submitted_at":"2019-08-12T20:18:59Z","title":"On $q$-deformed real numbers","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:29.920143Z"},"links":{"citing_paper":"/paper/1908.04365"},"observation_digest":"sha256:6be4984c3b5bf83cf5f1a4a3d8c62d4494519902b1c395eca37feb17311d4d85","observation_id":"de7b25fc-a61e-4a86-9132-2dfdeaa4e83f","resolution":{"observed_at":"2026-08-14T13:56:30.138631Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:56:30.082406Z","title":"Stanley, Enumerative combinatorics","venue":null,"work_id":"6e0ac47f-baf5-460b-8e98-681fa88bfee2","year":2012},"citing_paper":{"arxiv_id":"1908.04365","last_updated":"2019-10-07T07:52:23Z","snapshot_observed_at":"2026-08-14T19:14:24.402960Z","submitted_at":"2019-08-12T20:18:59Z","title":"On $q$-deformed real numbers","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:29.928398Z"},"links":{"citing_paper":"/paper/1908.04365"},"observation_digest":"sha256:fe0bd0655ec02fe7f3a292ab6eabec890b58425b4e69e9b01de40aff76adf243","observation_id":"b5f7fbd5-2b37-477c-b9b7-e8ec583d5b9c","resolution":{"observed_at":"2026-08-14T13:56:30.089917Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:56:30.051669Z","title":"Zeilberger, The C-finite ansatz , Ramanujan J","venue":null,"work_id":"64c58247-f832-42a7-9903-2562f699f6ca","year":2013},"citing_paper":{"arxiv_id":"1908.04365","last_updated":"2019-10-07T07:52:23Z","snapshot_observed_at":"2026-08-14T19:14:24.402960Z","submitted_at":"2019-08-12T20:18:59Z","title":"On $q$-deformed real numbers","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:29.937405Z"},"links":{"citing_paper":"/paper/1908.04365"},"observation_digest":"sha256:69d6aa20ae6221024c41231ede5bb8af029a2ddcaa0df74d7c4c20ae92cef02a","observation_id":"91caf3a6-16d3-4337-8810-9c73fe9f3905","resolution":{"observed_at":"2026-08-14T13:56:30.064975Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.04365","last_updated":"2019-10-07T07:52:23Z","latest_version":3,"primary_category":"math.QA","snapshot_observed_at":"2026-08-14T19:14:24.402960Z","submitted_at":"2019-08-12T20:18:59Z","title":"On $q$-deformed real numbers"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":1,"verified_fuzzy":5},"total_outbound_references":9},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:1908.04365."}