{"as_of":"2026-08-16T17:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2eb744324585f3203b88e5286df9bd0701679ed2b107ef9bfcfb22e14d9f5547","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T11:44:40.365916Z","state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:25:03.899249Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-08T09:44:49.503132Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.15111","snapshot_observed_at":"2026-08-10T20:25:03.899249Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.09266","last_updated":"2025-01-16T03:31:37Z","snapshot_observed_at":"2026-08-14T11:35:22.091511Z","submitted_at":"2025-01-16T03:31:37Z","title":"Spectral gaps on thick part of moduli spaces","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-10T20:25:03.899249Z"},"links":{"cited_paper":"/paper/2412.15111","citing_paper":"/paper/2501.09266"},"observation_digest":"sha256:7ca0d29a11ed641eb51d45eaa709983963e7bc71dc41778c68243717ac9070be","observation_id":"f2f14625-f967-4774-bb25-ad48480620ed","resolution":{"observed_at":"2026-08-10T20:25:03.899249Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"cited_work":{"arxiv_id":"2412.15111","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.15111","snapshot_observed_at":"2026-07-08T09:44:49.503132Z","title":"Limit points of uniform arithmetic bass notes","venue":"math.SP","work_id":"0f19034b-884d-480a-814e-8a6789c18fcc","year":2024},"citing_paper":{"arxiv_id":"2607.06331","last_updated":"2026-07-07T14:27:15Z","snapshot_observed_at":"2026-08-16T11:48:26.207989Z","submitted_at":"2026-07-07T14:27:15Z","title":"Bass notes of random hyperbolic surfaces of large genus","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-08T09:35:43.652006Z"},"links":{"cited_paper":"/paper/2412.15111","citing_paper":"/paper/2607.06331"},"observation_digest":"sha256:8c007d758103c8ac3b65ff2a321b506678ac830343dda56a556f9e09622bda50","observation_id":"812cafc7-16d4-41c2-ae31-246798bb8018","resolution":{"observed_at":"2026-07-08T09:44:49.504638Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.15111/citation-record","integrity":"/paper/2412.15111/integrity","json":"/paper/2412.15111/citation-record.json","paper":"/paper/2412.15111"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:44:40.334011Z","title":"Linear programming bounds for hyperbolic sur- faces","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.334011Z"},"links":{"citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:bac5ff440cca88c5583eec3b5244bd6f734b9c5ce47c2cd89bf97f707c815bbb","observation_id":"e63d6a30-2c14-4de5-8e31-352e280bd80e","resolution":{"observed_at":"2026-08-11T11:44:40.334011Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.00928","last_updated":"2024-04-02T20:08:15Z","snapshot_observed_at":"2026-08-16T14:13:38.008333Z","submitted_at":"2024-03-01T19:16:58Z","title":"The limit points of the bass notes of arithmetic hyperbolic surfaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.00928","snapshot_observed_at":"2026-08-11T11:44:40.345011Z","title":"The limit points of the bass notes of arithmetic hyperbolic surfaces","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.345011Z"},"links":{"cited_paper":"/paper/2403.00928","citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:66dfeb37f0ae8560d4f659a96e33178072d6f00b9dba8076870958b7552d5f81","observation_id":"ca6cb2e9-a159-46be-90f7-cb74316488f7","resolution":{"observed_at":"2026-08-11T11:44:40.345011Z","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":"2026-08-11T11:44:40.721559Z","title":"Strong convergence of unitary and permutation representations of discrete groups","venue":null,"work_id":"cd17c0fa-c11a-4b27-ba4c-0c1a38a2d743","year":2024},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.350444Z"},"links":{"citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:f5cbf76ee7f912fcce5c1f9f154f6d7c9e9264891cc97f105b131e6cae9ea6ba","observation_id":"d8596ca6-4b12-4fd2-9f06-a221c4eeb012","resolution":{"observed_at":"2026-08-11T11:44:40.726925Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.09570","last_updated":"2024-12-12T18:51:27Z","snapshot_observed_at":"2026-08-16T13:00:06.552110Z","submitted_at":"2024-12-12T18:51:27Z","title":"Arbitrary Spectral Edge of Regular Graphs","version":1},"cited_work":{"arxiv_id":"2412.09570","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.09570","snapshot_observed_at":"2026-08-11T11:44:40.680622Z","title":"Arbitrary Spectral Edge of Regular Graphs","venue":"math.SP","work_id":"ef4c081b-524b-42c3-ac78-a39986ea5e91","year":2024},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":1969,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.322307Z"},"links":{"cited_paper":"/paper/2412.09570","citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:d55651df9432db05507cf3d5335283c93ddb9764659d0781ef5551d2acfbacb2","observation_id":"c6f6a31d-7097-4f25-ae4c-06374395f5a7","resolution":{"observed_at":"2026-08-11T11:44:40.685887Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.01281","last_updated":"2023-10-13T03:14:26Z","snapshot_observed_at":"2026-08-16T15:43:05.730604Z","submitted_at":"2023-04-03T18:18:07Z","title":"The limit points of the top and bottom eigenvalues of regular graphs","version":2},"cited_work":{"arxiv_id":"2304.01281","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.01281","snapshot_observed_at":"2026-08-11T11:44:40.704597Z","title":"The limit points of the top and bottom eigenvalues of regular graphs","venue":"math.CO","work_id":"fd9a139a-f551-47ce-a0e6-77557f6831bb","year":2023},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":1999,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.298875Z"},"links":{"cited_paper":"/paper/2304.01281","citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:0f2dc00d625a125982b7cf6ecdef650593af9775a9caa97ef007934cf09005ba","observation_id":"c48a75b5-1056-452c-806b-4f9cbcad300d","resolution":{"observed_at":"2026-08-11T11:44:40.710184Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.00863","last_updated":"2023-09-22T21:52:26Z","snapshot_observed_at":"2026-08-16T15:11:29.095056Z","submitted_at":"2023-08-01T22:24:35Z","title":"Strongly convergent unitary representations of right-angled Artin groups","version":2},"cited_work":{"arxiv_id":"2308.00863","doi":null,"metadata_source":"pith","pith_arxiv_id":"2308.00863","snapshot_observed_at":"2026-08-11T11:44:40.403518Z","title":"Strongly convergent unitary representations of right-angled Artin groups","venue":"math.GR","work_id":"3ebecfd0-026f-408f-a3b1-db1da860a698","year":2023},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":2003,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.365916Z"},"links":{"cited_paper":"/paper/2308.00863","citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:d481c4ea4dd187924b1bfd2a5fb7c33a1c0ec2c04fa0b538b281a01988883fde","observation_id":"22bb4a06-b8bc-487c-8c8d-c3d45f314a40","resolution":{"observed_at":"2026-08-11T11:44:40.410144Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:44:40.355355Z","title":"Diameter of a new model of random hyperbolic surfaces","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":2005,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.355355Z"},"links":{"citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:e7d5c9fd3f323bbcd9604708566a2a3d5f33e59633a81169180e5961c805401c","observation_id":"b57de37f-a4d2-43fc-a977-0173d85f58d2","resolution":{"observed_at":"2026-08-11T11:44:40.355355Z","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":"2026-08-11T11:44:40.754742Z","title":"[CFKS87] H","venue":null,"work_id":"f5042d57-cac1-4ae0-9b10-b58d23eb806e","year":1992},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":2010,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.311286Z"},"links":{"citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:41e71a6f23010a98335d4c3acad027dc1ab90424d05c723772c7c23bb3fea684","observation_id":"0f991c91-b4d4-41b6-90fe-3ad957fd1d95","resolution":{"observed_at":"2026-08-11T11:44:40.759793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1601.03342","last_updated":"2016-01-13T18:36:08Z","snapshot_observed_at":"2026-08-14T22:14:46.425111Z","submitted_at":"2016-01-13T18:36:08Z","title":"Counting Mapping Class group orbits on hyperbolic surfaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1601.03342","snapshot_observed_at":"2026-08-11T11:44:40.360291Z","title":"Counting mapping class group orbits on hyperbolic surfaces","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.360291Z"},"links":{"cited_paper":"/paper/1601.03342","citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:5fa3e2ba9de6c96ce88a34decfb7e0cddebbb16102d0f03a4635fdd3a6bbc351","observation_id":"7111f249-8e11-4377-a084-d78e59aaee33","resolution":{"observed_at":"2026-08-11T11:44:40.360291Z","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":"2026-08-11T11:44:40.771845Z","title":"[Bon22] J","venue":null,"work_id":"7c673a58-cd04-4992-bd15-61a058004fb2","year":2011},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.305366Z"},"links":{"citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:47f312c2d53d79402db7787f376d4e4c5f2ff83caf72aa7b56662a2e207d96f2","observation_id":"06fe7616-ca3d-4c67-a9c3-60a5af92eef9","resolution":{"observed_at":"2026-08-11T11:44:40.778175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.08953","last_updated":"2023-01-16T11:06:00Z","snapshot_observed_at":"2026-08-16T16:23:35.244007Z","submitted_at":"2022-10-17T11:48:13Z","title":"Strongly convergent unitary representations of limit groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.08953","snapshot_observed_at":"2026-08-11T11:44:40.339136Z","title":"Strongly convergent unitary representations of limit groups","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.339136Z"},"links":{"cited_paper":"/paper/2210.08953","citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:141c7142abe0d7e503af1f333d7e89d347cc8e7304d43f280e5402e7baf7d2df","observation_id":"beee780d-d7c4-427a-931d-2ad592f84ef4","resolution":{"observed_at":"2026-08-11T11:44:40.339136Z","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":"2026-08-11T11:44:40.738154Z","title":"[Dix69] J","venue":null,"work_id":"406edec4-ed8a-457c-90ad-180e49a9bf93","year":2023},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.316739Z"},"links":{"citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:585b0385605a298db1c656db57c545343dcae86ee6a912e0451f8882e86bcc69","observation_id":"ed553f8e-2fc5-4837-a670-e3e49f8466a4","resolution":{"observed_at":"2026-08-11T11:44:40.743183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.03504","last_updated":"2026-06-16T16:12:53Z","snapshot_observed_at":"2026-08-16T14:37:09.242841Z","submitted_at":"2023-12-06T14:01:45Z","title":"Three counterexamples to a conjecture of Colin de Verdi\\`ere on multiplicity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.03504","snapshot_observed_at":"2026-08-11T11:44:40.327625Z","title":"Two counterexamples to a conjecture of Colin de Verdi` ere on multiplicity","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-11T11:44:40.327625Z"},"links":{"cited_paper":"/paper/2312.03504","citing_paper":"/paper/2412.15111"},"observation_digest":"sha256:0520f615c4445b200cdbbc52f9726c9aca966be8035f31261ef06285442b6207","observation_id":"ad0c5551-ec70-4ab0-8058-d215939715ee","resolution":{"observed_at":"2026-08-11T11:44:40.327625Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.15111","last_updated":"2024-12-19T17:54:26Z","latest_version":1,"primary_category":"math.SP","snapshot_observed_at":"2026-08-11T11:35:10.817941Z","submitted_at":"2024-12-19T17:54:26Z","title":"Limit points of uniform arithmetic bass notes"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":3,"verified_fuzzy":4},"total_outbound_references":13},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2412.15111."}