{"as_of":"2026-08-14T06:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:81e0d1b28eb2e3c9490a727a975caefbd1ed2993214629b8a8dfa00c1a987d53","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T20:23:04.822393Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2607.16670/citation-record","integrity":"/paper/2607.16670/integrity","json":"/paper/2607.16670/citation-record.json","paper":"/paper/2607.16670"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:00.595731Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:00.595731Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:1c9a22fe2b806cd11d2e2630c6b78f175e6c63541c67bfb93d5349df72459cc5","observation_id":"12a5c740-6287-410d-bf68-0fdf525e51b9","resolution":{"observed_at":"2026-08-01T20:23:00.595731Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:00.672699Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:00.672699Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:9aad9d4eaa833a964a7645ee35ebbfcb52734d22759f2820916ca6f96f0a38f1","observation_id":"7bb44447-b777-4335-914f-4863bca191d8","resolution":{"observed_at":"2026-08-01T20:23:00.672699Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:00.789788Z","title":"and Rogers, B","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:00.789788Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:6fd209dbf4bd5218982890bde14fda626d8e8e1a3c8b5bb3fadfff148e1a73ea","observation_id":"e55471c5-6aad-43e7-b3cb-d9446951c248","resolution":{"observed_at":"2026-08-01T20:23:00.789788Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:00.905175Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:00.905175Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:ef8e3ce817b09724cfc14dfcbc3934b49a90c24742b55d77639c2805c9e99004","observation_id":"eb4063be-11a2-4266-93e1-a12e2889c811","resolution":{"observed_at":"2026-08-01T20:23:00.905175Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:01.029823Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:01.029823Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:0fbc63ce7f11cdd8669c4d79f97e33801488f2ab79ee8393d1d88097ffe4d357","observation_id":"5370ddf8-0a2e-43ab-b193-30b989f872c2","resolution":{"observed_at":"2026-08-01T20:23:01.029823Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:01.151889Z","title":"Role of volatility and thermal properties in droplet spreading: a generalisation to","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:01.151889Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:ceb422040b5cae1e4c30a0922b7fbe747ccc3cbbf2769c96a9e90575a71bf8a2","observation_id":"8c1525b3-d56b-42b3-af14-08ec8a7efe02","resolution":{"observed_at":"2026-08-01T20:23:01.151889Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:01.289943Z","title":"Interface Sci","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:01.289943Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:95304e14eb3c5ef3e56ca4caadde8f7fccf3c26d9dbaad409ed6d2a8768603e1","observation_id":"aad77e56-462c-4380-9d19-fee03f428069","resolution":{"observed_at":"2026-08-01T20:23:01.289943Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:01.389114Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:01.389114Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:51be147015e25bcef86b026b867a0a7d8a369bff414d867c33305f3706b6d518","observation_id":"6b95ee43-a197-4347-9348-f558865b29e8","resolution":{"observed_at":"2026-08-01T20:23:01.389114Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:01.498282Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:01.498282Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:7f3a5117448bb9c6635ca83e57f825a64963f9c01560d9bc5303b8597e614983","observation_id":"51a555f8-bd18-4dcd-9682-d123c69f6ce7","resolution":{"observed_at":"2026-08-01T20:23:01.498282Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:01.699915Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:01.699915Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:9d175c802947abfba1308074b4713c4e22ac0615f385d8cb4d8b222e54a4e4d0","observation_id":"8bff63fa-e20c-472b-902d-8706469e2970","resolution":{"observed_at":"2026-08-01T20:23:01.699915Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:01.924442Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:01.924442Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:2fa8993c7a2bf3ed43d86ca358007689ce501243f861965d663fd6d2970453ab","observation_id":"be8a75a5-89ca-4d03-bfa8-7df1a530a453","resolution":{"observed_at":"2026-08-01T20:23:01.924442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:02.074339Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:02.074339Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:0020f528761e54b62f25cba3965fbbc4cbbd86481a178233e1249e13c5113a45","observation_id":"e5ade7f0-df83-49dc-969c-dc3f62ee8793","resolution":{"observed_at":"2026-08-01T20:23:02.074339Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:02.307870Z","title":"and Oger, G","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:02.307870Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:f2b2ad63c0798c3b26a36afdcf4c78c11c2837ec4a2822638def5a20b8a54080","observation_id":"a706c95e-012c-4be2-930c-144a4770d353","resolution":{"observed_at":"2026-08-01T20:23:02.307870Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:02.500387Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:02.500387Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:f01e4b4b7006fb60de65fa0db4eb1315cbbed83f54c7c4887c933d1b06502ed0","observation_id":"1c104c4f-4791-4397-8650-5f358c7bffd5","resolution":{"observed_at":"2026-08-01T20:23:02.500387Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:02.634382Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:02.634382Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:18018c91bea291f5f6370f4d3bff1303e86969a999fb9012f0754ed238b44ede","observation_id":"c2d465a5-26d5-4497-baa5-9595b06818eb","resolution":{"observed_at":"2026-08-01T20:23:02.634382Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:02.815470Z","title":"Nanotechnol","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:02.815470Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:e8e46d60d2b744100285df6fa3876828e4946b9a2b77480c5360fdc91b0af2a9","observation_id":"309744db-967a-4d2c-94ed-9f8dcc3e32f3","resolution":{"observed_at":"2026-08-01T20:23:02.815470Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:02.954658Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:02.954658Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:7d5fdcf430b1da610e5df17b8d25337dcd4dbeb50663f0293e41ea2499584293","observation_id":"2899a453-82e5-4492-9e57-da96633e1a86","resolution":{"observed_at":"2026-08-01T20:23:02.954658Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:03.086880Z","title":"Agronomy , volume=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:03.086880Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:2f423780913c7cf0bf46dcc3b8c2956b87a5c71f33ef7212850688e81b9e71c1","observation_id":"e63c8674-4064-4c1a-8d41-2ef85083eab6","resolution":{"observed_at":"2026-08-01T20:23:03.086880Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:03.170472Z","title":"Global Challenges , volume=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:03.170472Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:38190a6496d298684751f46b8ebbcec6a02be85f4aea318e5d5bf7db52e03f59","observation_id":"f0251a22-a008-480f-8dc5-8c7e6e1e6ee8","resolution":{"observed_at":"2026-08-01T20:23:03.170472Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:03.251696Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:03.251696Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:23a6638a68c0e9e195b9136ab94ed27b55bdeba07cb7a3fb7d680cc15dc6e39d","observation_id":"4b082c37-5afa-4c3f-a564-4fd956e2c135","resolution":{"observed_at":"2026-08-01T20:23:03.251696Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:03.366902Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:03.366902Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:c006097ca6b58a27b36e5cab64b2af564c138aea6a3d27b8bcfad9694753719d","observation_id":"76841a26-e7e4-4d96-8439-357ea42dff08","resolution":{"observed_at":"2026-08-01T20:23:03.366902Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:03.434885Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:03.434885Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:4d4eae76c2f9b92fbe002874a64a09db1f9465bb4bd49f20fe3167ba81e0a760","observation_id":"a5be9c28-c1ee-4104-b139-cfcd9f72fc8b","resolution":{"observed_at":"2026-08-01T20:23:03.434885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:03.492413Z","title":"and Menon, Dileep and Govind, Rahul and Sanka, Suraj and Sebastian, Amal S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:03.492413Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:4530adc2a13596e6485d50fad1bf09e25dec2609956065264805679ead47023f","observation_id":"6f3c68ca-becd-4e25-95c0-5becd817f598","resolution":{"observed_at":"2026-08-01T20:23:03.492413Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:03.554771Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:03.554771Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:147627fbc4543ba87b39d2994e19a29f32bf1f7344d40d7e39b835fe82094b80","observation_id":"c52d9088-cb48-49f9-b27f-96c6eba893b0","resolution":{"observed_at":"2026-08-01T20:23:03.554771Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:03.759408Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:03.759408Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:c61136b8bda7a825bc5f3dafd5923870a346dd5c18375d3f6d5b6cd53939c294","observation_id":"41973116-27b8-4ebd-8b6d-b6edb02d2360","resolution":{"observed_at":"2026-08-01T20:23:03.759408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:03.851835Z","title":"A unified variational framework and lattice","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:03.851835Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:70d6f09bcd4b0bd48b095884248fcfacfcd91582b750833e9907fece9deea1f1","observation_id":"0749e032-64d2-43bc-91f2-352e16503c45","resolution":{"observed_at":"2026-08-01T20:23:03.851835Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:04.007303Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:04.007303Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:d27d40f32e132874dd9d5cbe205eb803b2565c53a67a17ca60e5767d7b7535ce","observation_id":"5ea6b5b0-1dbc-49d5-903f-9ed94c21ebfb","resolution":{"observed_at":"2026-08-01T20:23:04.007303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:04.224147Z","title":"and Fox, Patrick J","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:04.224147Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:abe323dcdeb2a2a24db3c6fa8fc114eba3b2da3f8e3bce81abc70289623827bb","observation_id":"9c66dd65-6320-4502-9fc0-35f10e363c62","resolution":{"observed_at":"2026-08-01T20:23:04.224147Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:04.393548Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:04.393548Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:3c5c5224f4c17b3baa17fd1cd873c36b7371ecd5202682fc628533a95ff8f8aa","observation_id":"3b49d972-7e26-46eb-abd2-fc53d07d63b5","resolution":{"observed_at":"2026-08-01T20:23:04.393548Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:04.505588Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:04.505588Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:f836349589e6f3b8c4f4c496e635e1bb38809e0076993fdd851dd426db0a2cc1","observation_id":"80d91f0a-f302-4679-bc6a-b8604bd4d9dc","resolution":{"observed_at":"2026-08-01T20:23:04.505588Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:04.671326Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:04.671326Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:1412ef5908ba5b7b58141f8f2b7f17fc311c86ef5154b79f5eac0ea16198be19","observation_id":"6fe1a857-8306-4169-8cb1-1edfac7e15de","resolution":{"observed_at":"2026-08-01T20:23:04.671326Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T20:23:04.822393Z","title":"A high-order","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-01T20:23:04.822393Z"},"links":{"citing_paper":"/paper/2607.16670"},"observation_digest":"sha256:58545c078cd98d2c77ac88848d5d81eadc6fea35312f36009337f4260325d7dc","observation_id":"d4326dd4-ab76-46ea-93eb-d04bab129f82","resolution":{"observed_at":"2026-08-01T20:23:04.822393Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.16670","last_updated":"2026-07-18T06:57:08Z","latest_version":1,"primary_category":"physics.flu-dyn","snapshot_observed_at":"2026-08-13T06:08:46.795075Z","submitted_at":"2026-07-18T06:57:08Z","title":"An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":32,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":32},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.16670."}