{"as_of":"2026-08-16T18:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bd31e0360c972b5b72333f5c5b26b404886e144ae4db94fa836be4203e2f9563","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:17:04.541969Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"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/1908.07785/citation-record","integrity":"/paper/1908.07785/integrity","json":"/paper/1908.07785/citation-record.json","paper":"/paper/1908.07785"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:17:05.087044Z","title":"Feckan, Y","venue":null,"work_id":"c0152970-0a7f-4ff7-8087-83c0a22e7427","year":2012},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.371129Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:44c4aecfc1fac47a72d4e74a92e85a8612c2a3efd1c02e4ddb48a042ac271acf","observation_id":"f3e970aa-1aa0-479e-aa48-e7ed53a893db","resolution":{"observed_at":"2026-08-14T12:17:05.092192Z","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":"2026-08-14T12:17:05.074307Z","title":null,"venue":null,"work_id":"97bcd740-750c-495e-b7d2-48fd191a4ed1","year":2014},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.375942Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:5917b8ec99f22c81a11bd77d193d0e09b4e82a39b8233746a096a3e79ff998e1","observation_id":"8e538672-9bd5-4d65-891d-59a1a5697df1","resolution":{"observed_at":"2026-08-14T12:17:05.079175Z","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":"2026-08-14T12:17:05.061391Z","title":null,"venue":null,"work_id":"083771fd-9e95-4585-b4ec-99e536216ea2","year":2014},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.380668Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:074e44e3ed6756c341907ec40f86b21e32be7ae5784419c802e99dca99c55e1d","observation_id":"afdd5771-1b0d-4116-95fa-b8b3303f2693","resolution":{"observed_at":"2026-08-14T12:17:05.065525Z","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":"2026-08-14T12:17:05.048455Z","title":null,"venue":null,"work_id":"64be0e07-3646-4096-8409-d037fd54c748","year":2012},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.384839Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:04ef9a6e2d2b59b6453526aa5f8b5dbe764eb51fa40a2358b55bab8bec5b8d87","observation_id":"b296aa54-0215-4fbb-af27-871836f3b749","resolution":{"observed_at":"2026-08-14T12:17:05.052244Z","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":"2026-08-14T12:17:05.037958Z","title":null,"venue":null,"work_id":"712a44ea-258a-4bea-80c6-23ad235a8d36","year":2012},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.388827Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:ebdffe0328106e8dd4132fde4b9c2ec7143911c7fe0daa60cb5354e527f454e7","observation_id":"a1e53f81-c53f-4beb-ba01-a7f1a8c56516","resolution":{"observed_at":"2026-08-14T12:17:05.041265Z","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":"2026-08-14T12:17:05.025956Z","title":"Benchohra, F","venue":null,"work_id":"f153802c-7a64-4073-be27-da73a95a8de5","year":null},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.392674Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:e11289a48a7c188f6d68a7e73c6be3aaa5973c33d2c006dc3839e10a274799e1","observation_id":"3512addc-5380-4723-b5c1-ef7c75da2f9e","resolution":{"observed_at":"2026-08-14T12:17:05.030121Z","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":"2026-08-14T12:17:05.013279Z","title":null,"venue":null,"work_id":"e079b4bf-9f8b-40b8-989e-23236bc12037","year":2010},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.396784Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:9406855f4c8d9394c57a4e46e220d99af9700d688a89851bae0df75e5714b448","observation_id":"8cc6b2af-7928-4f51-bafd-bab9efac6952","resolution":{"observed_at":"2026-08-14T12:17:05.017473Z","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":"2026-08-14T12:17:04.997675Z","title":"Zhang, G","venue":null,"work_id":"3d484d8f-fb6f-4adf-88ab-49fb010d7d20","year":2011},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.400918Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:4478585b9464f9970513e22417eb45b18f69e8c0554b704feb4ca0a34a82bfa2","observation_id":"d631197d-aeea-4c8d-aae5-03b8a8b49e2a","resolution":{"observed_at":"2026-08-14T12:17:05.004284Z","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":"2026-08-14T12:17:04.985824Z","title":"Ahmad, S","venue":null,"work_id":"4db588f8-9129-4f9b-8033-0e3daad72259","year":2010},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.404775Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:4643a3135b36adb9ff5948628704c6bf134d1a6ca5681f08e3e2b58b853c724a","observation_id":"de1e1ede-50f1-4c12-b928-d61526f0d811","resolution":{"observed_at":"2026-08-14T12:17:04.990144Z","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":"2026-08-14T12:17:04.972813Z","title":"Liu , X.Li, Existence and uniqueness of solutions for the nonlinear impulsive frac- tional diﬀerential equations, Commun Nonlinear Sci Numer Si mulat 18 (2013),1362- 1373","venue":null,"work_id":"92e64933-7ce0-4847-9c57-b00c867c0352","year":2013},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.408977Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:d213ea07c62d6c04fa2bfc81bb2fa6c6db10a7788a0eebd20c1a35a1a49aaa96","observation_id":"ef5d8ef2-4878-47d6-9660-df5dd69dbf97","resolution":{"observed_at":"2026-08-14T12:17:04.977668Z","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":"2026-08-14T12:17:04.960697Z","title":"Fe˘ckan , Y","venue":null,"work_id":"35cc546c-4c51-4807-bdea-c2224bdc1bd3","year":2012},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.412764Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:36bc94e79c105d9f0da3e916c25d82297b6a609a5c28434b0018a0d4f7500ba6","observation_id":"4039c63e-5cfc-4776-b7f7-3312eb3aa4bb","resolution":{"observed_at":"2026-08-14T12:17:04.964079Z","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":"2026-08-14T12:17:04.950365Z","title":null,"venue":null,"work_id":"fe8bbb6d-8f8a-4440-a87b-ea25397557b4","year":2019},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.416883Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:3b7c3d00a22086ec2d1c53497dc286b7f1a6950c1da970dc802b0d6bf6a0604c","observation_id":"4e788718-2130-48de-8430-09e27bb8c6d9","resolution":{"observed_at":"2026-08-14T12:17:04.953826Z","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":"2026-08-14T12:17:04.939099Z","title":null,"venue":null,"work_id":"7aa32e53-60f5-48a4-a6c8-0b59fb99bb84","year":2012},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.421048Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:ad17209c9f49e30cc0d2a170bacea902ef51e4508d81b411552bc01c9093dd81","observation_id":"c266dc53-84a9-4dba-bbd5-fe9bcac2ead6","resolution":{"observed_at":"2026-08-14T12:17:04.942868Z","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":"2026-08-14T12:17:04.927858Z","title":"Fe˘ckan, Y","venue":null,"work_id":"668acb2d-47b4-4d21-8deb-78fd25f5f3f1","year":2012},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.424880Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:850e70517f799b7dafe1fd6a6613c3cf7e92fd6430ff6c815810bdf4f960c538","observation_id":"2bc2eb0d-a92e-47c1-9700-62cbdbeaffb4","resolution":{"observed_at":"2026-08-14T12:17:04.931670Z","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":"2026-08-14T12:17:04.916679Z","title":"Benchohra, B","venue":null,"work_id":"35fbf8b2-4c1d-4b5d-a022-18472a668f39","year":2009},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.429173Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:af2054eafd6e117d7de97bd9add8efee791c15fb23c667b077387db766fe5687","observation_id":"4488c069-b3d1-4178-8786-ddcf7b1d1e66","resolution":{"observed_at":"2026-08-14T12:17:04.920511Z","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":"2026-08-14T12:17:04.904236Z","title":"Benchohra, D","venue":null,"work_id":"8c85af6f-e2b2-4c9b-965f-e3873457eafa","year":2009},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.433237Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:87d26c14792f7aff0917bcff47d7584a5d311a92743361e98353f744fb028cbc","observation_id":"cace1ca9-03ac-49ea-8b91-044f4547f443","resolution":{"observed_at":"2026-08-14T12:17:04.908464Z","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":"2026-08-14T12:17:04.892375Z","title":"Benchohra, B","venue":null,"work_id":"533a14a0-2842-41b6-a62f-2679677a4ae9","year":2009},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.437454Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:4059640d2a5aaca8e6836dc170471f3cda2135bf1739f5dc491a0e73596a8efd","observation_id":"bf195c31-9e66-43b9-b880-f91ecb50e577","resolution":{"observed_at":"2026-08-14T12:17:04.896535Z","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":"2026-08-14T12:17:04.880773Z","title":"Ahmad , S","venue":null,"work_id":"8c49d96b-26e0-47a6-81bb-dd232abb742d","year":2009},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.441423Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:f2e971f63965bdecd0c46ccb531320648a19f4e5d2f9444d14e1a8c35103dd83","observation_id":"c6f47da9-31aa-46ec-8d4d-7de8e6030efd","resolution":{"observed_at":"2026-08-14T12:17:04.884675Z","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":"2026-08-14T12:17:04.870303Z","title":"Benchohra ,D","venue":null,"work_id":"ae37f008-8249-4890-8cd7-414781e06b0f","year":2009},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.445569Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:84991a5839987a5d0d9a5a5bf5c10c297932027c0cda986820e26f0aad57775a","observation_id":"c8867bbb-d3cb-438b-8b33-d757114b1e85","resolution":{"observed_at":"2026-08-14T12:17:04.873706Z","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":"2026-08-14T12:17:04.856339Z","title":"Balachandran ,S","venue":null,"work_id":"9b011bca-7b23-449b-ad6e-5e451f9d4ec7","year":2010},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.449283Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:4c69fe305f17bdc31d2656da823e603854bfddffff3eee77aaf6fe019f587be7","observation_id":"35a84e4b-b601-40c5-a576-688202fdaae9","resolution":{"observed_at":"2026-08-14T12:17:04.861157Z","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":"2026-08-14T12:17:04.844500Z","title":"Wang , B","venue":null,"work_id":"94ec1f73-9b49-4bda-95d2-1a09056b1937","year":2011},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.453487Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:34a48b619de0fa195c564331676a980a9a3af30cfdd6f3bd2bce00c35dc0bdad","observation_id":"7acafe8e-db15-4eae-baf0-d1f8fa96b024","resolution":{"observed_at":"2026-08-14T12:17:04.848550Z","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":"2026-08-14T12:17:04.833082Z","title":"Harrat, J","venue":null,"work_id":"f3447ac2-4356-4262-8ce5-09a96e364868","year":2018},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.457714Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:3d2a0d9d8a8f672e91dca952a8fab95afec8cead2411696d89df3dcfcf672af6","observation_id":"4e75aed1-404b-4aed-9819-e762a0cddf6c","resolution":{"observed_at":"2026-08-14T12:17:04.836881Z","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":"2026-08-14T12:17:04.821823Z","title":"Harikrishnan , K","venue":null,"work_id":"8bb21eee-ca30-495d-87e5-f7fbfffdc5f2","year":2018},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.462070Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:e0e02146496bfae9826c18a7b67a22403c5cb3226ab5ce12588dbfb68b2b75d6","observation_id":"3fb7b463-9858-42be-b903-e6466c16bc84","resolution":{"observed_at":"2026-08-14T12:17:04.825709Z","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":"2026-08-14T12:17:04.808752Z","title":null,"venue":null,"work_id":"0a9738c5-b946-492d-a4d6-6aa5381a443d","year":2018},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.467522Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:2d1ab0f92d135306e28caff9d9e8dba4e3ec3efbd86b468b73d323e93b68c323","observation_id":"cf3d994d-4d8a-458f-bee9-f6c192811a40","resolution":{"observed_at":"2026-08-14T12:17:04.812509Z","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":"2026-08-14T12:17:04.796937Z","title":"Fernandez, M","venue":null,"work_id":"d6a2883e-1547-4972-93e0-c546952e722a","year":2019},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.472221Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:cfb3e5c229f720b9fd28d40171f4b86c395550a9cb3d5b610ed1de029e6938ab","observation_id":"eedd7a18-e632-4255-b36e-4130354a2bba","resolution":{"observed_at":"2026-08-14T12:17:04.801100Z","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":"2026-08-14T12:17:04.786565Z","title":null,"venue":null,"work_id":"16816973-be95-47ad-9c23-a4e49d572277","year":2006},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.477603Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:07faf103cddf868f8054a583f79520d53a958e666eff0442c295bc581619b32c","observation_id":"faf8d1d1-1784-4488-b0cb-d4980b98173d","resolution":{"observed_at":"2026-08-14T12:17:04.790297Z","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":"2026-08-14T12:17:04.774663Z","title":"Almeida, A Caputo fractional derivative of a functio n with respect to another func- tion , Commun","venue":null,"work_id":"2ea329f9-c8da-4038-81d1-65d11868b246","year":2017},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.482768Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:006f6127e87533e450bb8fc709504f8dedd9e760b1e1c3ce9733008e501815c0","observation_id":"237daa6a-5b52-49dd-b0ac-91e5d5c3c4d6","resolution":{"observed_at":"2026-08-14T12:17:04.779006Z","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":"2026-08-14T12:17:04.761177Z","title":"Ameen, F","venue":null,"work_id":"8938fa86-74ef-4efe-8a06-df3e1c7f406f","year":2018},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.486526Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:2a68a86cf1720b8b7759a44b3025f9956c8a01d97082788b4dbc3b1a51077f4b","observation_id":"b6600da0-241b-468d-b22a-4aa96e5e594a","resolution":{"observed_at":"2026-08-14T12:17:04.765421Z","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":"2026-08-14T12:17:04.746060Z","title":"Jarad, S","venue":null,"work_id":"cbb1303c-afd6-4b16-99a3-40f793d45614","year":2018},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.491481Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:2f8bdd91615edd589dfffdeede550d90e099a128bacfdf56cb49f71fdca0d0b0","observation_id":"2215b652-742b-4d52-a786-3f654b941706","resolution":{"observed_at":"2026-08-14T12:17:04.750831Z","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":"2026-08-14T12:17:04.732592Z","title":"Jarad, T","venue":null,"work_id":"92cfddc4-5702-405b-bde5-cc2e824be85b","year":2019},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.494875Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:ea9e6a62f93b36c1da35efe46c66a92fc58cc4a92c9ec393371956ed4f9750c6","observation_id":"ba0df0bd-74a7-4fbd-958f-1f546b1b0117","resolution":{"observed_at":"2026-08-14T12:17:04.736530Z","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":"2026-08-14T12:17:04.720419Z","title":"Sousa, Oliveira E","venue":null,"work_id":"ed35bca8-9cab-4785-8879-ba437810cd85","year":2018},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.498275Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:cbaedc19af50c24dc5904e2b71effea75904d892d4c303d298471af92333b096","observation_id":"52a06d05-ecfa-4f34-957d-5937af590799","resolution":{"observed_at":"2026-08-14T12:17:04.724401Z","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":"2026-08-14T12:17:04.708395Z","title":"Hilfer, Applications of fractional calculus in Phys ics, World Scientiﬁc, Singapore, 2000","venue":null,"work_id":"1b64425c-eb48-4f92-8bfa-c6e7eb4dd007","year":2000},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.506785Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:0a77192e18cd7b2c01818532d72072406691300f4bac45419a57b74304635255","observation_id":"a14f0ecc-c253-4eca-99cb-88e2302604db","resolution":{"observed_at":"2026-08-14T12:17:04.712670Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1709.03634","last_updated":"2017-09-12T00:47:19Z","snapshot_observed_at":"2026-08-14T20:34:10.656638Z","submitted_at":"2017-09-12T00:47:19Z","title":"A Gronwall inequality and the Cauchy-type problem by means of $\\psi$-Hilfer operator","version":1},"cited_work":{"arxiv_id":"1709.03634","doi":null,"metadata_source":"pith","pith_arxiv_id":"1709.03634","snapshot_observed_at":"2026-08-14T12:17:04.657376Z","title":"A Gronwall inequality and the Cauchy-type problem by means of $\\psi$-Hilfer operator","venue":"math.CA","work_id":"c817bcaf-cc20-40cd-affd-397506ca1a6e","year":2017},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.510842Z"},"links":{"cited_paper":"/paper/1709.03634","citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:8c308c93c70e1eb1db4dce9d207dbba34112534d57c4e82be087ab2f4383028d","observation_id":"711e9557-b3ad-4341-b4f5-c12e2464b091","resolution":{"observed_at":"2026-08-14T12:17:04.662101Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s40314-019-0833-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:17:04.593074Z","title":"Kucche, A","venue":null,"work_id":"70c8a7ef-a05e-41d8-b1b8-e69df61a080c","year":2019},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.515393Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:2093d952f5121dd6266457beeebce41c31038c4fc727c84a194d00b7eabafa5a","observation_id":"455bf873-80b2-4b0f-bf05-dbceb947a12e","resolution":{"observed_at":"2026-08-14T12:17:04.597447Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.01814","last_updated":"2019-02-22T11:53:39Z","snapshot_observed_at":"2026-08-14T17:34:16.945299Z","submitted_at":"2019-01-07T14:05:56Z","title":"On the Nonlinear Impulsive $\\Psi$--Hilfer Fractional Differential Equations","version":2},"cited_work":{"arxiv_id":"1901.01814","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.01814","snapshot_observed_at":"2026-08-14T12:17:04.637964Z","title":"On the Nonlinear Impulsive $\\Psi$--Hilfer Fractional Differential Equations","venue":"math.DS","work_id":"39217fce-9ccf-4f8d-a031-c9f3d2df7387","year":2019},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.520252Z"},"links":{"cited_paper":"/paper/1901.01814","citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:9d84a1e0dc622af23813991d2d5a0f130434eb6b0c949e4a3b7387ceeeeac86a","observation_id":"49e82082-ec20-4257-a686-719f9c0d641a","resolution":{"observed_at":"2026-08-14T12:17:04.642466Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:17:04.696877Z","title":"Sousa, K","venue":null,"work_id":"53f8e8ce-8d04-455b-bac8-773fd5de5f87","year":2019},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.524987Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:b98359b51c1ab898a3a21d3f6d15f4a97623f4ce7d1667e2a8ff2e3253ece310","observation_id":"c34d1395-46be-42e3-af7c-fd42344a67de","resolution":{"observed_at":"2026-08-14T12:17:04.700542Z","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":"10.1186/s13662-019-1997-4","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:17:04.575179Z","title":null,"venue":null,"work_id":"4be54926-ab60-471c-9b83-ee793ebb4a40","year":2019},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.528873Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:008ec6427fc7cd12452bb83cdd092d32d3a04768c2c7769490ea1a1589787ab3","observation_id":"e2f4be06-8398-43a9-8746-7997308efcab","resolution":{"observed_at":"2026-08-14T12:17:04.581425Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:17:04.685354Z","title":null,"venue":null,"work_id":"2a2abbf8-e8d2-49a4-9a2c-e5b36830c203","year":2016},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.532979Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:ce318c91702481fe5257b77c71ccb64d4307d6b6fa5366ea1d69840ffdd04bf3","observation_id":"73771826-5549-42b3-b73c-d2e6f6c8a17b","resolution":{"observed_at":"2026-08-14T12:17:04.689316Z","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":"2026-08-14T12:17:04.672573Z","title":"World scientiﬁc, 2014","venue":null,"work_id":"19d8f7cb-a891-4dc9-8f16-852eccb98762","year":2014},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.538046Z"},"links":{"citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:81a2262dcab9bdf2b2043c87ea2ee89d757704cffe8395475a6a109c2caf5cc2","observation_id":"3ee5bcaa-ea57-416d-bf48-243c72189f57","resolution":{"observed_at":"2026-08-14T12:17:04.676914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.09256","last_updated":"2018-11-22T17:51:22Z","snapshot_observed_at":"2026-08-14T17:54:59.795072Z","submitted_at":"2018-11-22T17:51:22Z","title":"A note on the mild solutions of Hilfer impulsive fractional differential equations","version":1},"cited_work":{"arxiv_id":"1811.09256","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.09256","snapshot_observed_at":"2026-08-14T12:17:04.618251Z","title":"A note on the mild solutions of Hilfer impulsive fractional differential equations","venue":"math.CA","work_id":"05e8093e-b657-494a-8d81-7cb4d83cc403","year":2018},"citing_paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T12:17:04.541969Z"},"links":{"cited_paper":"/paper/1811.09256","citing_paper":"/paper/1908.07785"},"observation_digest":"sha256:2842bb6ead697a39b5f218269f8a6dc0ab5174364a51e5c3106c0dfcb2282c5c","observation_id":"08115402-d414-4133-bf55-d64c70394e72","resolution":{"observed_at":"2026-08-14T12:17:04.623719Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.07785","last_updated":"2019-08-21T10:46:50Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-16T10:45:40.953464Z","submitted_at":"2019-08-21T10:46:50Z","title":"Analysis of Impulsive $\\varphi$--Hilfer Fractional Differential Equations"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":4,"verified_fuzzy":25},"total_outbound_references":40},"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 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:1908.07785."}