{"as_of":"2026-08-16T21:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:381851f1e65e170341fc00b9a728123812332b1cb602745b6aab5e33fafcf136","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:44:22.125213Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.04853/citation-record","integrity":"/paper/1908.04853/integrity","json":"/paper/1908.04853/citation-record.json","paper":"/paper/1908.04853"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.545953Z","title":"Balcerzak, P","venue":null,"work_id":"4b46044b-2d6c-48bf-b80e-04dad117a8d3","year":2015},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:21.998627Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:529fee1d0cb838fc3814df3cc6bd2f4e751415f76f4a8b63ac10a828a6089765","observation_id":"15f9c6a5-cbf5-4ad3-8988-22b3feed3dde","resolution":{"observed_at":"2026-08-14T13:44:22.550466Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.531889Z","title":null,"venue":null,"work_id":"519d6728-54a6-40f4-8814-bd2b200dfe98","year":2015},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.003466Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:61557c824c883eb8eac44bd5f6b0d6757b66c19ee4cf35792c7450d42fc71c54","observation_id":"d87b3e74-89a2-4b39-a426-478bcc67e89a","resolution":{"observed_at":"2026-08-14T13:44:22.536217Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.518229Z","title":"Chen and C.-T","venue":null,"work_id":"0cd0bc87-8312-422b-9639-c4c398e2ba83","year":2007},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.007834Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:2062ddba55a02c9b7f6fcdae5a06802908f4db622022e234c1a2e2796a63bb37","observation_id":"b9bd87cf-3404-4ecd-b3d1-3e4d948087d0","resolution":{"observed_at":"2026-08-14T13:44:22.522526Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.504394Z","title":null,"venue":null,"work_id":"6af973e7-76f4-4c6d-8d99-721037b62f1f","year":null},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.011847Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:fd7c3bcbfe07ca3213973cb06abb07a5e3dd6fcdad8ff9bc72319e465652102b","observation_id":"f3894622-f452-4d0e-bcad-9fe020c95ccc","resolution":{"observed_at":"2026-08-14T13:44:22.508819Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.490571Z","title":null,"venue":null,"work_id":"7641c5fe-e66b-442d-afbc-3d725e9dce9a","year":2011},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.015954Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:4762324034f5668100a92910b8fce181524addba3b5701bf8d5c4bc919ee8b59","observation_id":"130b770a-af70-4e86-85ab-2c4ef5d326de","resolution":{"observed_at":"2026-08-14T13:44:22.494916Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.476649Z","title":"Das and E","venue":null,"work_id":"b5bfc8de-a1d7-4923-94fd-6df8af117bbc","year":2011},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.020385Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:9567614f72524051cc2cbad1fe978e531a5c1bfe236c40ad501e81fb866f81c8","observation_id":"256d8bec-3a7a-485b-92d2-61a562a1f866","resolution":{"observed_at":"2026-08-14T13:44:22.480844Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.463464Z","title":"Di Maio and L","venue":null,"work_id":"3455543e-b129-4b2b-8fc3-7ee8f1e1fefe","year":2008},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.025036Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:77da6edb71b40322c51db9d41f50a3932cf53daa6827a73784112d289322f85d","observation_id":"ffb6b11d-ea08-430b-a985-920dee73bb40","resolution":{"observed_at":"2026-08-14T13:44:22.467866Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.448960Z","title":"Di Nasso and R","venue":null,"work_id":"9e97f49c-c2e8-4580-ac21-6c3f9661119e","year":2018},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.030322Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:3f97f37e023af8404e125f055292a75186c5453aba10706ebea7e0a9dada1c8d","observation_id":"b020a9a6-51ec-4b15-ae82-cf8a3a5caf5d","resolution":{"observed_at":"2026-08-14T13:44:22.453713Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.435461Z","title":"Dutta and S","venue":null,"work_id":"9cdb67e1-8978-457f-bfc9-3f71edd2530e","year":2019},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.036259Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:55ad131d98799148ca0581d1a645cf7eb85d7c0b134565e30cc165feed67c9e2","observation_id":"5d41cc49-7a37-4d92-8d31-8a0864f74457","resolution":{"observed_at":"2026-08-14T13:44:22.439795Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.421402Z","title":"Farah, Analytic quotients: theory of liftings for quotients over an alytic ideals on the integers, Mem","venue":null,"work_id":"85f01d34-6bfe-4bc6-9d1f-765e56eb54de","year":2000},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.040710Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:d931bc35c93c0c1569621c0cd7d5113d0842e888a8f9a81ef83e81b56a1a07fd","observation_id":"8831cd43-d9b1-4f0f-96e0-bbcb7185c33c","resolution":{"observed_at":"2026-08-14T13:44:22.426027Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.407403Z","title":null,"venue":null,"work_id":"a74a5073-f395-4ab6-ab2f-214e66566912","year":2002},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.045224Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:b6c5b0e0bf8be9d5d7fcc48dbb847b501304a8ccabd3876cefac73a6aa32019d","observation_id":"88f1f20c-d956-4c59-a619-d350fab6bf3d","resolution":{"observed_at":"2026-08-14T13:44:22.411576Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.393937Z","title":null,"venue":null,"work_id":"b298a1a6-127e-4e7d-bd5d-5e49e1d22438","year":2006},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.050123Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:2740b50ba374e3562915a6489b4f10b945c30a5762f16841491488c7a4590741","observation_id":"5b9b4f49-3a0e-4b97-8cb3-1e92a1b9e97c","resolution":{"observed_at":"2026-08-14T13:44:22.398102Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.380696Z","title":null,"venue":null,"work_id":"64a04f74-2a70-4bcf-a4cf-98f2dabf36a0","year":1985},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.054884Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:15786b5f725e043f310bed9125dfbae7f425092b00913d369073912c0ccfc044","observation_id":"1d012cad-9525-4ecf-8859-cf99ec7c0ab5","resolution":{"observed_at":"2026-08-14T13:44:22.385001Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.367084Z","title":null,"venue":null,"work_id":"0f743e23-8130-427d-9a2e-ba809356919b","year":1998},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.060022Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:1ad9fe87db9984bb7c2d03d8e913dd03b0b1f232a9e7f7d092594c3fa9fc3618","observation_id":"fad32d3e-555d-41d9-9170-7edbee7dd86e","resolution":{"observed_at":"2026-08-14T13:44:22.371464Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.354224Z","title":null,"venue":null,"work_id":"24f4d6c6-3550-4ea4-bcf9-d0286d1d1a62","year":2000},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.065009Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:11d9efae733e8946e429d90281e5d43cf522004eec879c73f3e603930dcc609b","observation_id":"2a3ad89b-c388-4868-b02a-98537f6a154c","resolution":{"observed_at":"2026-08-14T13:44:22.358293Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.340696Z","title":null,"venue":null,"work_id":"f227e01c-650f-46bd-b40b-7df0d4f994c5","year":2003},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.069613Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:147a1780ae8e225759d4c6bdb9cf4778e858ca3e838e509edb1ef2bf386cbc74","observation_id":"3f9c7613-5170-4542-b631-fa600995314c","resolution":{"observed_at":"2026-08-14T13:44:22.345046Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.327926Z","title":"Hernández, K","venue":null,"work_id":"f9016774-64e2-4f01-a374-a03255be3628","year":2016},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.074058Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:83f9858aeabb47f8350b8bb37cd0c75b8acf997f1cdffaf0a6705db4d2ce3f24","observation_id":"c960315e-02f2-4531-b3d0-05bcae860651","resolution":{"observed_at":"2026-08-14T13:44:22.331904Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.314565Z","title":"Hrušák, Combinatorics of filters and ideals , Set theory and its applications, Contemp","venue":null,"work_id":"4168f3a6-42fd-473c-81a3-368889fccdae","year":2011},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.078673Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:cee47b0f8f1d3ff288cc21822d1684911c01bea2bc25a2caa325eb4e96c5b545","observation_id":"64493f82-92ed-446d-9666-026eb3572133","resolution":{"observed_at":"2026-08-14T13:44:22.318943Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.301232Z","title":"Kostyrko, T","venue":null,"work_id":"11bbfcfe-e5aa-476a-9667-232c0122e348","year":2000},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.082750Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:49add2b5f4d3dddec0b59806cdad43fc50ed1885435d1c9e8ff9ee7ffb304b72","observation_id":"46bf0d2a-bf23-4b2f-ba84-a12a8100a66a","resolution":{"observed_at":"2026-08-14T13:44:22.305177Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.287486Z","title":"Leonetti, Limit points of subsequences , Topology Appl","venue":null,"work_id":"cf951dab-1d4a-464d-8781-66a5dfd6b783","year":2019},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.087025Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:9c7644405b9632d21c17204f705ed433a0e774dfc3dede2a79cdff0fed426e6f","observation_id":"836c358f-a524-4cd1-9d13-26cce7c66189","resolution":{"observed_at":"2026-08-14T13:44:22.292020Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.273182Z","title":"Leonetti and F","venue":null,"work_id":"8f6a93d3-00ba-4dfa-b04f-6149edbf5d55","year":2019},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.091407Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:ded8f7ac8ad4f11ba215e5b755ddd11c0aefba8100985520616cd445c891fa78","observation_id":"638c8b39-4ca3-48f8-96a4-467d10ef3b2b","resolution":{"observed_at":"2026-08-14T13:44:22.277713Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.258273Z","title":"Leonetti and S","venue":null,"work_id":"4227115a-80b4-4da3-9a5f-df04d571e1a9","year":null},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.096236Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:de3f23e5ba056ca85eb851520013ad29cf1d620d4efa5730f847286c8f5102e7","observation_id":"ff4c0da0-70c7-475e-913c-9ab80835cf7f","resolution":{"observed_at":"2026-08-14T13:44:22.262978Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.244030Z","title":"Louveau and B","venue":null,"work_id":"b36d98a7-8d58-4ecf-bf00-528cb4e206b9","year":1994},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.100771Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:b7899717b47525f253efcc242670ffe777736113946c695c58fd31dea343ce92","observation_id":"ee35a35a-4e94-47ab-bdef-e30d54689d18","resolution":{"observed_at":"2026-08-14T13:44:22.248864Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.228768Z","title":null,"venue":null,"work_id":"783f8886-0dd7-45fd-a9af-9754686f2926","year":1988},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.105038Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:35374838b7f1b3b06f0660fdcc84ddd2bd9e4f5037b5f335ad928104ddc1367a","observation_id":"72a53039-a8d8-47fc-bd8f-5c9cc9f5332f","resolution":{"observed_at":"2026-08-14T13:44:22.233992Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.213275Z","title":null,"venue":null,"work_id":"ed237389-653b-4b56-a16e-44d40e89bb8d","year":1989},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.109283Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:ba27c336c2ef29651b0da5b796d24642011e7b011e6ee4412e68606a7bd5edf5","observation_id":"585c9e12-08cc-4b39-b7be-fe8832b96005","resolution":{"observed_at":"2026-08-14T13:44:22.217875Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.197974Z","title":"Móricz, Tauberian conditions, under which statistical convergence follows from statistical summability (C, 1), J","venue":null,"work_id":"0209ea64-17ec-4fb1-9549-407ab3536d9e","year":2002},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.113323Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:74d36d3e8a08b9bd089cba6fb6ce13f1d84cd441c00e11bb4ecfa2be18ce6d83","observation_id":"74246bbd-6b12-4022-8f6e-e7ec8c125ef9","resolution":{"observed_at":"2026-08-14T13:44:22.203465Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.184158Z","title":null,"venue":null,"work_id":"d5f4db96-3156-47d3-9295-a34b9c59a4a6","year":2003},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.117192Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:d0ff886fe3393efa442ef0fb50e90dfc30f5059dd352645d5e3a37384f08c75f","observation_id":"9fe42cd3-039f-49a7-99d6-3cc0f06aa2a8","resolution":{"observed_at":"2026-08-14T13:44:22.188347Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.170038Z","title":null,"venue":null,"work_id":"8f2c216c-c25e-4735-9b76-2ba08654e999","year":2004},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.121070Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:ce72ec91c89d4c7492a6eab969947f9e761d6ed61223374964ee54ebd192ddcb","observation_id":"5499a297-eddf-4bcf-ba6b-439685e9d72a","resolution":{"observed_at":"2026-08-14T13:44:22.174558Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:44:22.154436Z","title":null,"venue":null,"work_id":"761f246e-e707-4a01-a130-fa326006acbc","year":1998},"citing_paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T13:44:22.125213Z"},"links":{"citing_paper":"/paper/1908.04853"},"observation_digest":"sha256:ff8e822f87deb915ba5a17b52fc536af007534e1d9ef8fdc70ef0bc0c4f969f6","observation_id":"2769da18-ebbc-4299-a3e1-750e00aced82","resolution":{"observed_at":"2026-08-14T13:44:22.159933Z","resolver_source":"raw_fallback","status":"unresolved"},"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"}}],"paper":{"arxiv_id":"1908.04853","last_updated":"2019-08-13T20:49:06Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-14T13:28:39.466697Z","submitted_at":"2019-08-13T20:49:06Z","title":"A Tauberian theorem for ideal statistical convergence"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":0,"verified_fuzzy":15},"total_outbound_references":29},"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 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.04853."}