{"as_of":"2026-08-16T18:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ce9550fb526e2ad4d2bcfc138e58b2fbff580b8c941817021c3f3b7ddbd316ba","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:19:28.025346Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"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/1908.01690/citation-record","integrity":"/paper/1908.01690/integrity","json":"/paper/1908.01690/citation-record.json","paper":"/paper/1908.01690"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:19:28.429655Z","title":"Ballot, Divisibility of Fibonomials and Lucasnomial s via a general Kummer rule, Fibonacci Quart","venue":null,"work_id":"5f3f6a0a-d597-4707-a057-325ec6535b1d","year":2015},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.920836Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:c157293ee563512af25f37dcfb760131516055ca422e6a83fa15976737a491e7","observation_id":"47cb0d95-ef5e-4da9-abb5-8e21bc3922e0","resolution":{"observed_at":"2026-08-14T15:19:28.434959Z","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":"2026-08-14T15:19:28.409432Z","title":"Ballot, The congruence of Wolstenholme for generaliz ed binomial coeﬃcients related to Lucas sequences, J","venue":null,"work_id":"3883c130-8340-443e-95fb-f032f686a2d9","year":2015},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.926374Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:dd1adba479748a5a08da9a0ebc525ada3e31d520c247b87b850d6f1322a0e2a4","observation_id":"7908157e-6bc7-45a1-8989-b68ec352839c","resolution":{"observed_at":"2026-08-14T15:19:28.415178Z","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":"2026-08-14T15:19:28.391987Z","title":"Ballot, Lucasnomial Fuss-Catalan numbers and relate d divisibility questions, J","venue":null,"work_id":"fbab2da9-76db-493e-836a-dc85595023a9","year":2018},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.931133Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:30fa9fc83c224063a1b0b0f6ad5ca83a238774fcd9e3ddab26eb6c18fe065e71","observation_id":"011d0237-ae7e-4b80-b88e-2a3101433f9e","resolution":{"observed_at":"2026-08-14T15:19:28.396746Z","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":"2026-08-14T15:19:28.375057Z","title":"Ballot, Divisibility of the middle Lucasnomial coeﬃc ient, Fibonacci Quart","venue":null,"work_id":"2d1970e6-e290-4c1f-9c14-8121ae72fcae","year":2017},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.936703Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:bf83fa60cb6e4e02782cc10885484985affbb7462c562272bc29745befeea96e","observation_id":"7c7fb702-dc04-4e20-8bce-7fe31b0d92f6","resolution":{"observed_at":"2026-08-14T15:19:28.381161Z","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":"2026-08-14T15:19:28.358932Z","title":null,"venue":null,"work_id":"28a05f1a-28dc-42fd-8757-90cc7f3eb363","year":1994},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.941671Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:4a7a9148adda870e95d762add743edf448e0b66f4807e4cfc6431b328c932198","observation_id":"4e270651-0af3-4c47-948e-fe0c4b5e3c10","resolution":{"observed_at":"2026-08-14T15:19:28.363588Z","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":"2026-08-14T15:19:28.343103Z","title":"Khaochim and P","venue":null,"work_id":"3aad8efe-7f3c-4a24-8ccb-9a401910936c","year":null},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.946732Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:f1aa00f34d6b9429246c86c8701d4f5895db2feed956e9f16bdb42afde4ce497","observation_id":"09729d4b-5751-46e7-8362-08ff01142726","resolution":{"observed_at":"2026-08-14T15:19:28.347931Z","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":"2026-08-14T15:19:28.324990Z","title":"Khaochim and P","venue":null,"work_id":"2c334c84-f141-4379-b701-94ef2d4e24d2","year":2018},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.952622Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:26f5048a64498da4d1ba5752e167407ac083161358358721e7c96b66550d81ec","observation_id":"304d1abd-5bc4-4d6a-b042-f924f270e1ca","resolution":{"observed_at":"2026-08-14T15:19:28.330981Z","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":"2026-08-14T15:19:28.306729Z","title":"Knuth and H","venue":null,"work_id":"1565ed61-fcb7-40db-b802-c03fd0812798","year":1989},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.958616Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:5898da968bbefc23aaf54e19d09e40a262e050f29ad808ff3283a93fcafd2427","observation_id":"6104f658-8c6e-4f01-97cf-ec07c2920464","resolution":{"observed_at":"2026-08-14T15:19:28.312182Z","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":"2026-08-14T15:19:28.283378Z","title":"Marques and P","venue":null,"work_id":"183a735e-08bc-421b-a578-8128657cf15e","year":null},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.965371Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:9854f4e985ce0c859f10e39e924da5b3a2ac3af58cfdbda8f673b61af95513b6","observation_id":"bef84e08-505f-4af0-a323-145c6fc8198f","resolution":{"observed_at":"2026-08-14T15:19:28.288502Z","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":"2026-08-14T15:19:28.265936Z","title":"Marques and P","venue":null,"work_id":"ec6b8e06-4ea9-43fe-9423-13f66f210934","year":2012},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.970791Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:6598b80ba30d88f0ce87c5460e2b04fe3e193c30dedb2ad578813e26058b74e2","observation_id":"a56a6be8-7f73-436d-952a-8a504bebbbcf","resolution":{"observed_at":"2026-08-14T15:19:28.271586Z","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":"2026-08-14T15:19:28.242919Z","title":"Onphaeng and P","venue":null,"work_id":"25af189d-e294-450c-9fd5-5ca0d59ab293","year":2014},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.978192Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:f7243c92fa4e949f682c272c90688eff7e877d7f3bbe69b509595c08b0c95d5d","observation_id":"ab81a716-9ec4-4522-b035-aeadd03b79a8","resolution":{"observed_at":"2026-08-14T15:19:28.249929Z","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":"2026-08-14T15:19:28.224275Z","title":"Onphaeng and P","venue":null,"work_id":"fedc38b0-295c-494c-b4ee-470d45e07ee4","year":2017},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.982964Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:e226c56308e859bc65ad5c9558c29820892dbf1dc282b60480a3733e1ac8d78b","observation_id":"a999fe9f-f2bc-49a2-b8cb-570e8ec34b98","resolution":{"observed_at":"2026-08-14T15:19:28.229246Z","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":"2026-08-14T15:19:28.208438Z","title":"Onphaeng and P","venue":null,"work_id":"e6bdd772-28d4-4862-a666-854709fb39c6","year":2018},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.988748Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:114a22f7d1fe7a46dcf14ba118d4338915cd874b52c670dece29f4ea806f3b7e","observation_id":"0ca725f5-8e75-469d-becd-4eb6062075da","resolution":{"observed_at":"2026-08-14T15:19:28.213280Z","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":"2026-08-14T15:19:28.188309Z","title":"Phunphayap and P","venue":null,"work_id":"6a22df7e-96c6-41c2-9dd0-25bc0ccc8e4a","year":2018},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:27.994797Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:64c8102e1f2e27c3d7b7113aafb12a10a950ab666a2b816d244621cee90332d9","observation_id":"fb3dcde2-1724-4207-b276-64ed6b66e375","resolution":{"observed_at":"2026-08-14T15:19:28.194749Z","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":"2026-08-14T15:19:28.166780Z","title":"Pongsriiam, Exact divisibility by powers of the Fibo nacci and Lucas number, J","venue":null,"work_id":"97f877fd-71c2-480e-936f-c7199a097396","year":2014},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:28.000181Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:5ccb99e2ce91719721a9d37162dc3f56ed37d89f816a4929a010f2e3c0b3bcd7","observation_id":"9ce08537-8425-4bc8-bd33-a3af59b4133d","resolution":{"observed_at":"2026-08-14T15:19:28.173211Z","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":"2026-08-14T15:19:28.147671Z","title":"Pongsriiam, A complete formula for the order of appea rance of the powers of Lucas numbers, Commun","venue":null,"work_id":"10f10af8-83df-4a6e-aed0-32cbf3179d18","year":2016},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:28.005205Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:13a26bb1b9796570b61bc23ab315e7893ba0182d766d1b929dca26b139fad7a9","observation_id":"970ea2be-e417-4108-9e80-0cb3cdde4cf9","resolution":{"observed_at":"2026-08-14T15:19:28.153187Z","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":"2026-08-14T15:19:28.122347Z","title":"Pongsriiam, Factorization of Fibonacci numbers int o products of Lucas numbers and related results, JP J","venue":null,"work_id":"8e6c09c7-1815-40b3-90ce-0839a7e1f33d","year":2016},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:28.010007Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:d4c197e581a200773542d1990aec2abf4eb272987e016bb3557530d282991871","observation_id":"31b17c2e-7c6b-4222-9478-175230c442ce","resolution":{"observed_at":"2026-08-14T15:19:28.130734Z","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":"2026-08-14T15:19:28.102278Z","title":"Pongsriiam, Local behaviors of the number of relativ ely prime sets, Int","venue":null,"work_id":"8882ceab-6a11-45ea-b23d-347b1b5191d4","year":2016},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:28.014488Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:09716ad0818c9d1d35a9b14d373461b4c911195fe56f3911ad59da2e2b10b584","observation_id":"e7d733ef-adf3-49d2-a4a8-ddb043ac0526","resolution":{"observed_at":"2026-08-14T15:19:28.108487Z","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":"2026-08-14T15:19:28.082969Z","title":"Pongsriiam, Fibonacci and Lucas numbers associated with Brocard-Ramanujan equation, Com- mun","venue":null,"work_id":"a454cb97-467a-47e7-aa24-5d5180f6957b","year":2017},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:28.020311Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:1a5de66a20d2265d0d9ebe11bafd16a1b15535c953797ad0166667bca41c279d","observation_id":"dfebef09-59a4-459f-ae25-61a4543753f8","resolution":{"observed_at":"2026-08-14T15:19:28.089658Z","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":"2026-08-14T15:19:28.063452Z","title":"Pongsriiam, Fibonacci and Lucas Numbers which are on e away from their products, Fibonacci Quart","venue":null,"work_id":"701ffb92-6677-4a5a-9422-083e3f1805c4","year":2017},"citing_paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:19:28.025346Z"},"links":{"citing_paper":"/paper/1908.01690"},"observation_digest":"sha256:4f72180cb9fca8d843935c5100aa4a428d46ddae70c413f30cebb9d77bb241fb","observation_id":"00ff5426-e86a-47cd-ba85-b7a9955c3b72","resolution":{"observed_at":"2026-08-14T15:19:28.070827Z","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"}}],"paper":{"arxiv_id":"1908.01690","last_updated":"2019-08-05T15:25:44Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-14T15:03:48.413092Z","submitted_at":"2019-08-05T15:25:44Z","title":"Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":19},"total_outbound_references":20},"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 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.01690."}