{"as_of":"2026-08-08T13:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c124bd70c060e2f137edab3d64b4fe6ac1471f69c2dd930de195fdb716580973","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:42:15.254496Z","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":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:21:09.780822Z","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":"2026-08-06T20:21:12.244940Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"cited_work":{"arxiv_id":"2506.12053","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.12053","snapshot_observed_at":"2026-08-06T20:21:12.244940Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","venue":"math.GM","work_id":"e6580d23-49b9-4000-9c99-d0eed9fc63fc","year":2025},"citing_paper":{"arxiv_id":"2508.14043","last_updated":"2025-07-03T18:43:17Z","snapshot_observed_at":"2026-08-06T22:24:18.225360Z","submitted_at":"2025-07-03T18:43:17Z","title":"A comparative study of some wavelet and sampling operators on various features of an image","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T20:21:09.780822Z"},"links":{"cited_paper":"/paper/2506.12053","citing_paper":"/paper/2508.14043"},"observation_digest":"sha256:45a4f583c88581f41ff7234107e28bbd6390a970aabc7f125eefd1ecf72429ca","observation_id":"5e296daa-7721-4f01-b593-2c7b0e3e769d","resolution":{"observed_at":"2026-08-06T20:21:12.311939Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.12053/citation-record","integrity":"/paper/2506.12053/integrity","json":"/paper/2506.12053/citation-record.json","paper":"/paper/2506.12053"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:19.636150Z","title":"Agrawal, R","venue":null,"work_id":"cd72d5bb-efe4-4e9a-94b4-29d31e888cec","year":2023},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.233831Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:b2aea3e84e747532861e24112cd558eb4432778a1f6b4eb29375d33c37d6449f","observation_id":"8f5bb16b-e85a-455a-b7b5-74eb68b4bb64","resolution":{"observed_at":"2026-08-07T12:42:19.702633Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:19.494536Z","title":null,"venue":null,"work_id":"cba64768-8aa8-4b0b-a4e6-618aa2ddc1c2","year":2025},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.279451Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:d324caad39fe8e88a1f03a08ea8dc215916c39189f884ebe8a125466aba8bbd0","observation_id":"1bcde3c1-110c-419a-90b7-22c6532ccd44","resolution":{"observed_at":"2026-08-07T12:42:19.573235Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:19.355395Z","title":null,"venue":null,"work_id":"543104d0-037e-4771-ab1c-1446ca4bae50","year":2013},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.363155Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:1bec276f8d58492c9243c3aeb8e242a3d031919767cc9cd67623ab9452f6f263","observation_id":"85f7e893-ca15-4a5b-8545-c1ea6535a44e","resolution":{"observed_at":"2026-08-07T12:42:19.410935Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:19.208979Z","title":"Bardaro, L","venue":null,"work_id":"d0b24b50-59e7-450a-9ec6-fa28e1000d62","year":2016},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.425459Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:e0bd369f70f844699ec36614a543ebd6b206f5f1723d60e38384f9b288eb2c0f","observation_id":"33827ca2-e83c-4329-99ac-d2c0a881638e","resolution":{"observed_at":"2026-08-07T12:42:19.266093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:19.070544Z","title":"Bardaro and I","venue":null,"work_id":"9aa75a32-a74a-4113-8682-ec630be097f5","year":2014},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.465451Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:3ac7f082a477e5fdc02c5d138d43c579e4a7591983d7515873e69e844ccccee4","observation_id":"94c2fb1a-1320-4b6f-a4d2-09f32d9cf2aa","resolution":{"observed_at":"2026-08-07T12:42:19.139876Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:18.913206Z","title":"Balser, & M","venue":null,"work_id":"c6f4cdaa-8a8e-40ba-98d7-875ae99953a9","year":1999},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.537566Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:2b2a80eedc93576ac820a1415d25ac43156260cb2ad2a8fd8282fd02297bbeda","observation_id":"c361a80b-6e6b-4129-87fd-120fccf4b8d8","resolution":{"observed_at":"2026-08-07T12:42:18.962173Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:18.801526Z","title":null,"venue":null,"work_id":"7b51df75-b289-4433-b476-056d71f9d5be","year":2000},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.615631Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:73427fedb555a742aba295abdea4ddb10cb7b6e46d13caf065d657a399b41c23","observation_id":"a07956ee-dd6c-4105-8f37-3cc8388bf6ab","resolution":{"observed_at":"2026-08-07T12:42:18.865386Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:18.697796Z","title":null,"venue":null,"work_id":"2dd7656f-4dde-4a90-88f9-45363e385111","year":2018},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.699201Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:dd24e6aed65f4fbcc774db1b0b85017e7d8a9fa9157b5228a74cf333968a7016","observation_id":"520cccfc-64a2-4340-877d-960ac57e7555","resolution":{"observed_at":"2026-08-07T12:42:18.735808Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:18.597464Z","title":null,"venue":null,"work_id":"a1a6bde4-dd14-41c9-a248-fe9b74b24f24","year":1992},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.770459Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:24919aa5107ceeb4cd92e6364d929dca30d26ad63cad7329fe0c88435b669e07","observation_id":"d32009c9-7b21-42df-91b7-1f4769a9a41f","resolution":{"observed_at":"2026-08-07T12:42:18.644719Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:18.466347Z","title":"Costarelli and G","venue":null,"work_id":"02a0330c-cb4e-4ba3-8096-5f8e5f8a046c","year":2019},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.817766Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:0c0f2989eab217fc33a6d4d436dd6c244b52a4d7a70816971ea4dc00c52c034f","observation_id":"4106fbcd-daf0-4004-82ca-93fc2b4162f7","resolution":{"observed_at":"2026-08-07T12:42:18.513431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:18.393212Z","title":"Vinti, An inverse result of approximation by sampling Kantorovich series , Proc","venue":null,"work_id":"b38c597b-259c-4b16-a20e-883eeab25b60","year":2019},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.894998Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:b5e8e89968c77a8a49dd0d34c79ecc26c1318174cb9e92254d112f13e3d4b373","observation_id":"942d6d5c-3236-43d8-89c6-d1008e8804a9","resolution":{"observed_at":"2026-08-07T12:42:18.435663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:18.276676Z","title":"Costarelli and G","venue":null,"work_id":"623a0a99-072b-4cdb-a50f-8b10cbaf69dd","year":2011},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:13.971056Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:aad5a53b163b8e92f61efbe4b4d2ec45ce14f050e889e6eabb55cccbb3cf48d8","observation_id":"241c56e6-136d-4c53-a601-f5ddcb15e93d","resolution":{"observed_at":"2026-08-07T12:42:18.330264Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:18.040645Z","title":"Costarelli and G","venue":null,"work_id":"eb85fcab-6356-4366-a2f4-ff16f0fd60af","year":2019},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.020799Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:704fe9f5c3a28c5e20710d45271d700ed220249d99e688ac7b80cec9be476feb","observation_id":"b61872d1-a4a3-4769-babb-cf951aae152a","resolution":{"observed_at":"2026-08-07T12:42:18.204889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:17.690841Z","title":null,"venue":null,"work_id":"383f7be7-555c-4a48-a653-c7314136062d","year":2022},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.100961Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:46e08dc45a17a3ce2c88e0c9d6fc37f3bb3cd43acffd0b2a4b685ba8f23a322d","observation_id":"22141a08-b6b0-49d8-a3ee-6ba8dc7213b1","resolution":{"observed_at":"2026-08-07T12:42:17.873141Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:17.414780Z","title":"D., Gadjiev, & C","venue":null,"work_id":"92d6b72c-d246-4a68-b4b0-05462d112359","year":2002},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.181655Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:ca82d3a59d88b4c500103f3a1f8e543fa9d0372a38ca67e6bae5b757649e5342","observation_id":"e928a9b9-82fe-4b1f-b1c6-190feef1b1df","resolution":{"observed_at":"2026-08-07T12:42:17.506248Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:17.235674Z","title":null,"venue":null,"work_id":"3e681c37-fa96-4a59-9f89-03c73783bde8","year":2005},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.229150Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:38d9c7136ff5053e780ed1e9f9c0460ad307153b287577491542baa062e20785","observation_id":"a6a2db07-2eda-4d05-b90b-b32a97e756d4","resolution":{"observed_at":"2026-08-07T12:42:17.369788Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:17.060636Z","title":"Bardaro, G","venue":null,"work_id":"71ef2ca4-7560-4379-9075-23bf89686cc8","year":2007},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.304652Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:b4e8a9ac16cf3fbb7174bf965bb4ae9a3d0abba6ea05e364a3ae44ba4b66812d","observation_id":"7532058b-ddc8-4f2f-a70b-225d018e7d55","resolution":{"observed_at":"2026-08-07T12:42:17.140181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:16.876590Z","title":"Demirci, S","venue":null,"work_id":"4baa8f1d-186b-4aaf-8890-0525856a38fd","year":2024},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.346642Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:f1da82b1a11c39e96e2c4d4ffd8f5fe53d42b0fe023a2354fcc10106230b6b8e","observation_id":"76b40b80-3e2e-4266-a3f0-bd31877a73c1","resolution":{"observed_at":"2026-08-07T12:42:16.974798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:16.727849Z","title":"Yurdakadim, Approximation properties of convolution operators via statistical conver- gence based on a power series , Commun","venue":null,"work_id":"b186eeb5-f9af-481b-a35e-24c6e45eb96f","year":2025},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.454270Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:bd0edc18969c09fa845dbfc64e8c47d2b1d54471647a178e43b78129731fbfab","observation_id":"1daaf1c0-9079-4c1b-adf6-c04dad73a995","resolution":{"observed_at":"2026-08-07T12:42:16.800336Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:16.551817Z","title":null,"venue":null,"work_id":"be8fd3ad-323b-42bd-ad9a-5216f522dbbf","year":2001},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.529922Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:0a0c65291b75f6210fcbbe834017d798689a04baeccd32264d2adde80ba5b2bf","observation_id":"eb3b3aba-8033-4e82-9e00-5f2cd9a78c68","resolution":{"observed_at":"2026-08-07T12:42:16.631709Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:16.346872Z","title":"Robinson, On functional transformations and summability , Proceedings of the London Mathe- matical Society 2.1, 1950, 132-160","venue":null,"work_id":"419e7ba2-5dc5-4f85-9e02-b4efb9996246","year":1950},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.596182Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:b69f0a6053c379272cb9cd7cb48711fd3813492baa9f29f04e9ddd156946faf7","observation_id":"2b40b18f-1d09-443a-97e3-6ac150baf558","resolution":{"observed_at":"2026-08-07T12:42:16.457743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:16.202071Z","title":"Shukla, P","venue":null,"work_id":"e71c637e-fb7c-4e58-9141-3335a572592c","year":2022},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.698279Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:13dbcc003904000b12e6b4c4cf2adb7ed1cc42bf20d4aa2fd67ca55b02f86b54","observation_id":"a46cca4c-1a11-424c-b7a9-d82eb4ff7b11","resolution":{"observed_at":"2026-08-07T12:42:16.265319Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:16.053086Z","title":"Singh and K","venue":null,"work_id":"a3a8ac4a-9145-4a4b-b70d-59a27c064338","year":2024},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.807831Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:ae49eb26f556448004db4a30b0877ba82d38ba84df285dc08be7b40e85a40fda","observation_id":"337efeef-11ad-468c-baa1-4d56585f54d0","resolution":{"observed_at":"2026-08-07T12:42:16.117035Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:15.917382Z","title":"S¨ oylemez, & M","venue":null,"work_id":"75206561-8fcb-47d5-a16b-e18be73d71da","year":2017},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.860065Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:e5cfcb28c1caa0cc00a04bf3680bbe8606e0b1df3ae7c20561ba7c13fe0f885a","observation_id":"989f3194-4759-4cb1-a55c-84bbdbbba7b7","resolution":{"observed_at":"2026-08-07T12:42:15.982950Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:15.770870Z","title":null,"venue":null,"work_id":"1ee25fd0-ccc1-41e3-b76e-8cf97aee884f","year":1999},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:14.957033Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:1520f9c1c1a430ede0acc9b96caf9e09e11ab60b87350ce46e634817f0d7e4e6","observation_id":"7d7a92fc-12de-4aac-97c1-22ac6e71e787","resolution":{"observed_at":"2026-08-07T12:42:15.846391Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11117-017-0467-z","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:15.347449Z","title":"Tas and T","venue":null,"work_id":"19ebdd64-51de-438a-9583-a2db16d7da11","year":2017},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:15.035957Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:633b2c801db51e59c9a5ead4ba9b9376be891f97bbb1c6e9597c4c86f6317dd4","observation_id":"bdf4d152-9c21-4ba3-b29d-1f41abcd92ae","resolution":{"observed_at":"2026-08-07T12:42:15.370476Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:15.630729Z","title":"¨Unver, Abel transforms of positive linear operators In 11th International Conference of Numerical Analysis and Applied Mathematics 2013: ICNAAM 2013, (Vol","venue":null,"work_id":"1fdea01d-40d4-4b8f-8367-8808b4b817df","year":2013},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:15.129312Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:3d741314aec7ba9b45d746c1f182ced8eb307226213e83da73a7e301ef862bc5","observation_id":"2f781c42-efdb-480e-be78-30561822c073","resolution":{"observed_at":"2026-08-07T12:42:15.701496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:42:15.456003Z","title":"Wang, A.C","venue":null,"work_id":"c689f077-cf7d-451f-8859-b9814b6be7fb","year":2004},"citing_paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T12:42:15.254496Z"},"links":{"citing_paper":"/paper/2506.12053"},"observation_digest":"sha256:dbca4d1aa1effd5d4b01ac81beb8ca206bb89807ec2d78c03a2505526b352c6b","observation_id":"d9abb5ba-4b79-483a-90ef-88aec20a41b2","resolution":{"observed_at":"2026-08-07T12:42:15.530704Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.12053","last_updated":"2025-05-29T20:40:31Z","latest_version":1,"primary_category":"math.GM","snapshot_observed_at":"2026-08-07T12:35:38.237140Z","submitted_at":"2025-05-29T20:40:31Z","title":"On a novel probabilistic Sampling Kantorovich operators and their application"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":1,"verified_fuzzy":18},"total_outbound_references":28},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2506.12053."}