{"as_of":"2026-08-13T03:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f27e744183adeac403f91b0d83dc82e6807de774ad59e26d8e5e1be94f8b050f","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T09:50:34.188715Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2607.20684/citation-record","integrity":"/paper/2607.20684/integrity","json":"/paper/2607.20684/citation-record.json","paper":"/paper/2607.20684"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T09:50:31.775972Z","title":"1994 , doi =","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:31.775972Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:530db439b4484a565b8df66072e68dfa426ed2b4e769da98b6ab27835758d243","observation_id":"58bb2c8f-e359-49e9-8df6-9b679bfc8d92","resolution":{"observed_at":"2026-08-01T09:50:31.775972Z","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":"2026-08-01T09:50:31.857970Z","title":"Annals of Mathematics , volume =","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:31.857970Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:4dfa4686f396480e30495f88e29a0a57457b75a9f3809d9fcb53dcda6c6ec005","observation_id":"0f79d5af-641d-4c0f-a728-dde8c6f155f7","resolution":{"observed_at":"2026-08-01T09:50:31.857970Z","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":"2026-08-01T09:50:32.013151Z","title":"A Review of Mathematical Topics in Collisional Kinetic Theory , booktitle =","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.013151Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:610233ec485b71fbb28236cc8a49abce8f2548b7b8a85a96f3fca0eea1d5b2c5","observation_id":"22bdf1b7-d857-465a-b3e4-b5a69a8a1090","resolution":{"observed_at":"2026-08-01T09:50:32.013151Z","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":"2026-08-01T09:50:32.198831Z","title":"On the Spatially Homogeneous","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.198831Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:2371c30741ae84cd7062ecc5ef2c835362fbc9db589a59af9e0e68ed7a4e29bd","observation_id":"776fc529-c3e0-435f-b1d4-dbd4d71e8015","resolution":{"observed_at":"2026-08-01T09:50:32.198831Z","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":"2026-08-01T09:50:32.308305Z","title":"Microreversible Collisions for Polyatomic Gases and","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.308305Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:5687502931c0d1fe62cff7f3b0626610e1a76dd388c13dd5ec546fbe8955255c","observation_id":"2091d7d2-1570-4bb9-bc52-93c37754f72b","resolution":{"observed_at":"2026-08-01T09:50:32.308305Z","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":"2026-08-01T09:50:32.418250Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.418250Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:1f496d686372e886ca04febc0466ac949031ed2f1415b7ba4944dc68844d9fe0","observation_id":"e1d99607-2930-4984-80dc-017138623728","resolution":{"observed_at":"2026-08-01T09:50:32.418250Z","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":"2026-08-01T09:50:32.516033Z","title":"Bernoulli , volume =","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.516033Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:018b63af723265202d181b4d6b8c5f6981a6c92b4171ef9be30bae5fc073f784","observation_id":"22abeb97-c03a-4d58-a1d8-7bae15e4cb5c","resolution":{"observed_at":"2026-08-01T09:50:32.516033Z","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":"2026-08-01T09:50:32.608272Z","title":"Analytic Methods for Coagulation-Fragmentation Models, Volume","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.608272Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:87e335e6ca8a558a675385bb63ddf9426e2588b6232a5a88c275d229de3593aa","observation_id":"20926cf3-ad92-4d86-88df-a90fec4033dc","resolution":{"observed_at":"2026-08-01T09:50:32.608272Z","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":"2026-08-01T09:50:32.645351Z","title":"Journal of Statistical Physics , volume =","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.645351Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:1d38ecceb85a83e795dc5c4bc6ba9bbfedfb4aeb073006230ff6be40036c01a6","observation_id":"7aa9c0a2-bc18-476f-9121-817d9c9a4608","resolution":{"observed_at":"2026-08-01T09:50:32.645351Z","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":"2026-08-01T09:50:32.673317Z","title":"1977 , doi =","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.673317Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:f670d44c8de6e9c27ac0a346188e94b21bddaaf1edabcd1014824615a36397f4","observation_id":"12559b2d-3d4a-4ab8-ae00-22c55475d27b","resolution":{"observed_at":"2026-08-01T09:50:32.673317Z","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":"2026-08-01T09:50:32.741335Z","title":"Matematicheskii Sbornik (N.S.) , volume =","venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.741335Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:4dab813dc23a4e75d1aa740af38e99b853697e3a490ecb64452126695ea62ef4","observation_id":"9765c132-1bd4-4ff1-9afe-4ab98fc4d3a6","resolution":{"observed_at":"2026-08-01T09:50:32.741335Z","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":"2026-08-01T09:50:32.770662Z","title":"Archive for Rational Mechanics and Analysis , volume =","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.770662Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:ae5f2512f45da13c942f357249f4684557bb420dd71fd63346a908d9ac01c155","observation_id":"f2b1ac56-52f8-40c4-8554-159ad169f60e","resolution":{"observed_at":"2026-08-01T09:50:32.770662Z","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":"2026-08-01T09:50:32.810551Z","title":"Journal of Statistical Physics , volume =","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.810551Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:7c0f2cffe3091a6f7acd09e07062642ef3ed541356d7142a0923208e36bf54ee","observation_id":"bfb20e93-f081-4af7-9dd8-d6b1d5348a3b","resolution":{"observed_at":"2026-08-01T09:50:32.810551Z","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":"2026-08-01T09:50:32.923176Z","title":"Transport Theory and Statistical Physics , volume =","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:32.923176Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:cee6a300e8184e00156c7de857b721d11f97b87830a0d04e476099f34a7305bd","observation_id":"69a99dd7-a704-47d5-9134-e2cc91960354","resolution":{"observed_at":"2026-08-01T09:50:32.923176Z","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":"2026-08-01T09:50:33.090196Z","title":"1977 , doi =","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:33.090196Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:12c54f347545fa3d441ef5876055db98fb498a9d2ff65d9c4e6379182c9a8af8","observation_id":"265411b5-28df-4520-9bed-d85c717b490c","resolution":{"observed_at":"2026-08-01T09:50:33.090196Z","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":"2026-08-01T09:50:33.152572Z","title":"On Measure Solutions of the","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:33.152572Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:82751a8162428e0d6e18c20fab4b00fc1f57250ab29d3114d1459b776f8a40c5","observation_id":"d46663dd-7672-4f6d-874e-1ec2f0078942","resolution":{"observed_at":"2026-08-01T09:50:33.152572Z","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":"2026-08-01T09:50:33.263094Z","title":"2015 , doi =","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:33.263094Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:39e5f643a524bfc20c8de45650d27eea0cabf1728ce1e2b9e06d127ebcb156e8","observation_id":"ccbd146d-3579-47fa-91be-a57b7ebd1e9c","resolution":{"observed_at":"2026-08-01T09:50:33.263094Z","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":"2026-08-01T09:50:33.375068Z","title":"On a kinetic equation for coalescing particles , journal =","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:33.375068Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:846923580848ebce3fc676aef8d6317f996ca2ba81d3fa1d01782d41c990c59c","observation_id":"ff169a10-06e4-404e-a5a3-55b176b1a89c","resolution":{"observed_at":"2026-08-01T09:50:33.375068Z","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":"2026-08-01T09:50:33.571737Z","title":"Annales de l'Institut Henri Poincar","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:33.571737Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:e137f264429413fed5e661e3f205c03b1caac316c9d2e49beb37b08c52b6432c","observation_id":"1c968111-f449-4c83-86d6-05f567c48324","resolution":{"observed_at":"2026-08-01T09:50:33.571737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.01316","last_updated":"2025-09-01T10:01:12Z","snapshot_observed_at":"2026-08-12T14:32:32.018756Z","submitted_at":"2025-09-01T10:01:12Z","title":"The continuous version of the generalized exchange-driven growth model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.01316","snapshot_observed_at":"2026-08-01T09:50:33.702559Z","title":"The continuous version of the generalized exchange-driven growth model , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:33.702559Z"},"links":{"cited_paper":"/paper/2509.01316","citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:88c49fc108c25281d59fda681a4e6ee8dfd943b71131fadd61824ccf7a790342","observation_id":"aa1a709a-85da-4f84-b9b1-2476ec491bd2","resolution":{"observed_at":"2026-08-01T09:50:33.702559Z","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":"2026-08-01T09:50:33.819092Z","title":"Convergence of a stochastic particle system to the continuous generalized exchange-driven growth model , journal =","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:33.819092Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:8c3e1534eb5fe940597dc1abf1815e5c237c64cb2ffbe2312e912fbdaede0464","observation_id":"08ae7fbe-d074-47b7-9ec2-0c2999de0633","resolution":{"observed_at":"2026-08-01T09:50:33.819092Z","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":"2026-08-01T09:50:33.925517Z","title":"Physical Review E , volume =","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:33.925517Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:7170a3e468b3f2923f2e9cd1984ea37d6df7eb1089b2abd835f3497db4884d6c","observation_id":"06576f4a-72fc-41ad-9fe5-beab3fa018a9","resolution":{"observed_at":"2026-08-01T09:50:33.925517Z","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":"2026-08-01T09:50:34.085290Z","title":"Journal of Statistical Physics , volume =","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:34.085290Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:01a48c69e9a42260f08c7e2ece3bfe31a64af1b7269176f1ef4315fcfafc1e50","observation_id":"a9d64ca9-7a30-490a-a7be-27265a25b77a","resolution":{"observed_at":"2026-08-01T09:50:34.085290Z","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":"2026-08-01T09:50:34.188715Z","title":"Journal of Statistical Physics , volume =","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-01T09:50:34.188715Z"},"links":{"citing_paper":"/paper/2607.20684"},"observation_digest":"sha256:7dffcd37a5b823aa9232ab272f7db41744e928675e52892ab5a3c87dd5e091da","observation_id":"7ffc92b0-5917-4df4-b267-1986186c91c4","resolution":{"observed_at":"2026-08-01T09:50:34.188715Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.20684","last_updated":"2026-07-22T19:33:35Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-01T19:50:28.196756Z","submitted_at":"2026-07-22T19:33:35Z","title":"On the Spatially Homogeneous Boltzmann Equation with Mass Exchange"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":24,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":24},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.20684."}