{"as_of":"2026-08-13T13:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:540e0bb7ed3c1b6d5564d927d23541498f722c9cfa20367835b0bbb34bd998de","coverage":[{"denominator":15,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T09:05:48.584725Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T07:25:04.505025Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T05:31:00.478350Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2510.17500","snapshot_observed_at":"2026-08-03T07:25:04.505025Z","title":"Goatin, S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.20494","last_updated":"2026-08-12T12:24:07Z","snapshot_observed_at":"2026-08-13T12:25:53.444972Z","submitted_at":"2026-01-28T11:17:05Z","title":"Monotone-based Numerical Schemes for Two-Dimensional Systems of Nonlocal Conservation Laws","version":3},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-03T07:25:04.505025Z"},"links":{"cited_paper":"/paper/2510.17500","citing_paper":"/paper/2601.20494"},"observation_digest":"sha256:b0d91fee6a65ca20651cea6d182b9ec811b4fb2dc7feb75c4f2d2491f162972d","observation_id":"cb866a2d-016f-43e1-8efc-202dea94c8d3","resolution":{"observed_at":"2026-08-03T07:25:04.505025Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"cited_work":{"arxiv_id":"2510.17500","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2510.17500","snapshot_observed_at":"2026-07-14T02:20:19.295956Z","title":"Anon-local model forheterogeneousmaterialflow on conveyor belts","venue":null,"work_id":"6661776b-c1ad-4796-b0c5-fff1d6d57aa3","year":2025},"citing_paper":{"arxiv_id":"2604.08904","last_updated":"2026-04-10T03:12:19Z","snapshot_observed_at":"2026-08-11T16:20:02.284940Z","submitted_at":"2026-04-10T03:12:19Z","title":"Existence and uniqueness of nonlocal nonlinear conservation laws via fixed-point methods","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-10T18:05:27.682712Z"},"links":{"cited_paper":"/paper/2510.17500","citing_paper":"/paper/2604.08904"},"observation_digest":"sha256:fcfc905ea5ba400b73387c32eef6e62621e39fa104415f4bcc047ef77107a3a6","observation_id":"2b11729f-2889-4a70-8567-79234984ebd6","resolution":{"observed_at":"2026-07-14T02:20:19.295956Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2510.17500/citation-record","integrity":"/paper/2510.17500/integrity","json":"/paper/2510.17500/citation-record.json","paper":"/paper/2510.17500"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:05:47.532747Z","title":"Aggarwal, R","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:47.532747Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:2067325803e0b86b6a1590874e12c63042ddcc441a0db105b5a1f96b57e5d54b","observation_id":"98b5cd02-2a14-4ef9-a599-117391818d28","resolution":{"observed_at":"2026-08-04T09:05:47.532747Z","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":"2026-08-04T09:05:47.582355Z","title":"Amorim, R","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:47.582355Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:f146ee98d425327aea184ff5934d2dc5ac09fd4ab8c4bbce40b482ceac303995","observation_id":"2cc52de5-98b2-4de4-b3e7-bfedf5367c7e","resolution":{"observed_at":"2026-08-04T09:05:47.582355Z","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":"2026-08-04T09:05:47.703894Z","title":"Blandin and P","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:47.703894Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:dc44d9b3feacc898478ea671247ab930f21af281f3506135b6f3fa17ad1f3352","observation_id":"34955fa5-c1cd-4ecb-a345-c4c6b3a648e8","resolution":{"observed_at":"2026-08-04T09:05:47.703894Z","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":"2026-08-04T09:05:47.778219Z","title":"B¨ urger, P","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:47.778219Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:eff6726574bb23d25ec20345d581452ec778ba2bac248b1a923d6e10010c1382","observation_id":"ad9de88b-9f73-4a2f-818f-1b5828d93ca1","resolution":{"observed_at":"2026-08-04T09:05:47.778219Z","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":"2026-08-04T09:05:47.839809Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:47.839809Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:a3b5974cdc20060b175a0362e206fc2c2a874132f3a7a0e764fd52ed1f16f0bb","observation_id":"37d6e42d-36f7-49cb-8d9f-8ba0c0047548","resolution":{"observed_at":"2026-08-04T09:05:47.839809Z","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":"2026-08-04T09:05:47.887294Z","title":"Crandall and A","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:47.887294Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:437c7f42e96f8b410ccb548ccecd54489d00bdb8ca2f96c14b31a8e07e6fb1a4","observation_id":"d0d7a41d-3a17-4a11-9bd8-290dfbdc6359","resolution":{"observed_at":"2026-08-04T09:05:47.887294Z","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":"2026-08-04T09:05:47.912390Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:47.912390Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:971881cab395940f4646f51831e04ca87648694b688746c78b53c6a926370ce9","observation_id":"c84e8b35-1137-4d62-95c3-d4ff434d7ac2","resolution":{"observed_at":"2026-08-04T09:05:47.912390Z","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":"2026-08-04T09:05:47.968173Z","title":"Goatin, D","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:47.968173Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:ba20ef04cf529b7a56bff44fe2adcde21f1e5fe57124878bce05f6d9a7dfbb22","observation_id":"28dc39b9-bb7f-466f-8999-82c2458fdf25","resolution":{"observed_at":"2026-08-04T09:05:47.968173Z","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":"2026-08-04T09:05:48.005203Z","title":"Goatin and E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:48.005203Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:a5f4f09e182fd421ce8d3bc709ff3a6980786f13706bc9ce029dbdfe4785c4e5","observation_id":"674c2420-294b-49a8-827c-c83176ae0c1e","resolution":{"observed_at":"2026-08-04T09:05:48.005203Z","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":"2026-08-04T09:05:48.054192Z","title":"G¨ ottlich, S","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:48.054192Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:144274e3153085f1dc559c6eaedb0a327d7a96c4c79e9ad61972987adbbe413c","observation_id":"c72be6cd-b6e2-4b91-afd0-b4454d8839de","resolution":{"observed_at":"2026-08-04T09:05:48.054192Z","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":"2026-08-04T09:05:48.108600Z","title":"Keimer and L","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:48.108600Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:99afd3198ff494e03917810194045e042bdb67d0c7067980789b1476134252ca","observation_id":"8d863ef9-3982-4de0-8213-1ad212d10c57","resolution":{"observed_at":"2026-08-04T09:05:48.108600Z","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":"2026-08-04T09:05:48.196113Z","title":"Keimer, L","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:48.196113Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:615b687b2b778ef20189c9cff6d8630a58ef434c0966767134668eb46f194dc3","observation_id":"356e6a0f-98d7-4281-8c57-cc24c34c5e14","resolution":{"observed_at":"2026-08-04T09:05:48.196113Z","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":"2026-08-04T09:05:48.298174Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:48.298174Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:78e690951edc9f19eaeaa8c8d41926ebb2ab17b3cfc6169da61b9b5f42121654","observation_id":"bc539d0a-0783-4072-af5c-efff31c3d33a","resolution":{"observed_at":"2026-08-04T09:05:48.298174Z","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":"2026-08-04T09:05:48.459330Z","title":"Rossi, J","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:48.459330Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:65bebd6a01abfa405d82507192052ef003b1daadb5de8cc3cceb3dd840079ae2","observation_id":"297776ff-3f03-4279-995b-760d4e41adec","resolution":{"observed_at":"2026-08-04T09:05:48.459330Z","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":"2026-08-04T09:05:48.584725Z","title":"Van Lint, S","venue":null,"work_id":null,"year":2088},"citing_paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T09:05:48.584725Z"},"links":{"citing_paper":"/paper/2510.17500"},"observation_digest":"sha256:b1ded777e95c536d844d2764382d066939ece14de1ce0deec5d02a3c71775052","observation_id":"ba36f473-f7a4-43eb-9663-726e8de0f97a","resolution":{"observed_at":"2026-08-04T09:05:48.584725Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2510.17500","last_updated":"2026-07-12T19:48:30Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-11T23:59:24.373598Z","submitted_at":"2025-10-20T12:54:03Z","title":"A nonlocal model for heterogeneous material flow on conveyor belts"},"reference_resolution":{"displayed":15,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":15},"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 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2510.17500."}