{"as_of":"2026-08-11T16:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eb1de184e3addca76bfc91cd09adb577126a15900b0b0972f4797159764637a7","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":15,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:08:37.629898Z","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":"2026-07-04T14:49:56.302424Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-08-07T05:08:37.629898Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.08752","last_updated":"2025-06-10T12:46:00Z","snapshot_observed_at":"2026-08-10T02:38:40.016556Z","submitted_at":"2025-06-10T12:46:00Z","title":"New Trends in Kinetic Theory Towards the Complexity of Living Systems","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-07T05:08:37.629898Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2506.08752"},"observation_digest":"sha256:66eecc10b6fc8952842593b4f9dac3ecdc55d89146d4db1647b50e27b5cce01b","observation_id":"9af25f47-c5e6-4d81-9009-cee20d668c46","resolution":{"observed_at":"2026-08-07T05:08:37.629898Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-08-07T00:26:30.911913Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.14309","last_updated":"2025-08-18T15:23:45Z","snapshot_observed_at":"2026-08-10T02:40:27.464190Z","submitted_at":"2025-06-17T08:36:37Z","title":"Kac's Program for the Landau Equation","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T00:26:30.911913Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2506.14309"},"observation_digest":"sha256:aa5d027cf515607131a7ce7f9875cba8e62c9379d3b96aa8c063a04cb9477ee7","observation_id":"b46e26b8-1fd4-467e-bc26-693c6f45d69d","resolution":{"observed_at":"2026-08-07T00:26:30.911913Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-08-07T00:14:37.844606Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.15015","last_updated":"2025-06-25T14:27:16Z","snapshot_observed_at":"2026-08-10T02:38:41.621255Z","submitted_at":"2025-06-17T23:05:31Z","title":"Triangular and tetrahedral number differences of sumset sizes in additive number theory","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T00:14:37.844606Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2506.15015"},"observation_digest":"sha256:5a14725236b91942eeacfa82e73075bce9369ae3b19c4e4d5f333909fb4cc0b6","observation_id":"ecd6c652-cb37-444f-8df0-97ada35eac48","resolution":{"observed_at":"2026-08-07T00:14:37.844606Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-08-04T14:42:42.499996Z","title":"Hilbert’s sixth problem: derivation of fluid equations via boltzmann’s kinetic theory,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.23975","last_updated":"2026-05-25T00:40:49Z","snapshot_observed_at":"2026-08-10T02:38:40.078363Z","submitted_at":"2025-09-28T17:01:53Z","title":"Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T14:42:42.499996Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2509.23975"},"observation_digest":"sha256:1aac57ee22bfe8d4526392b3340c67a3db765be0f50843d3f418ab8515f2dc72","observation_id":"92af19d5-73b0-48b8-9543-3b87983c8469","resolution":{"observed_at":"2026-08-04T14:42:42.499996Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":"2503.01800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-07-04T14:49:56.302424Z","title":"Hilbert’s sixth problem: derivation of ﬂuid equations via B oltz- mann’s kinetic theory","venue":null,"work_id":"afa531ea-b326-4ed8-8e93-0070e5e5cdf3","year":2025},"citing_paper":{"arxiv_id":"2603.17493","last_updated":"2026-04-16T15:07:28Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-03-18T08:55:45Z","title":"DustNET: enabling machine learning and AI models of dusty plasmas","version":4},"reference_index":111,"source":"pdf_text","source_observed_at":"2026-05-15T08:59:41.316490Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2603.17493"},"observation_digest":"sha256:4e8a4ddc443d74fc79fb59b4f6ce99857a940809d335c6880022e382a73bb14c","observation_id":"328dae60-7449-4766-a5ae-6a1cf83cff03","resolution":{"observed_at":"2026-05-15T08:59:52.900191Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":"2503.01800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-07-04T14:49:56.302424Z","title":"Hilbert’s sixth problem: derivation of ﬂuid equations via B oltz- mann’s kinetic theory","venue":null,"work_id":"afa531ea-b326-4ed8-8e93-0070e5e5cdf3","year":2025},"citing_paper":{"arxiv_id":"2603.23298","last_updated":"2026-05-20T08:50:40Z","snapshot_observed_at":"2026-07-06T22:50:19.273712Z","submitted_at":"2026-03-24T14:58:50Z","title":"Kruskal-style algorithm for cubic Schr\\\"odinger equation molecule reduction","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-21T10:37:29.222348Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2603.23298"},"observation_digest":"sha256:fc47698731f96d3e69de13a3c92222c4d5d7faabefd45920b52354d16f419be0","observation_id":"fb344e40-bb78-4cbe-91db-52732a919de6","resolution":{"observed_at":"2026-05-21T10:40:00.674322Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-07-13T15:28:02.876977Z","title":"Hilbert’s sixth problem: derivation of fluid equations via Boltzmann’s kinetic theory,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.29969","last_updated":"2026-06-05T11:58:28Z","snapshot_observed_at":"2026-08-11T04:59:01.648854Z","submitted_at":"2026-03-31T16:32:38Z","title":"Hilbert's Sixth Problem and Soft Logic","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-13T15:28:02.876977Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2603.29969"},"observation_digest":"sha256:badcda38b0e36fa9452f83951f09ab0d398cd688cb0c0d0d9546a5d994e8e458","observation_id":"d235d1f5-68d1-4610-a121-a9fb076f5f1c","resolution":{"observed_at":"2026-07-13T15:28:02.876977Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":"2503.01800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-07-04T14:49:56.302424Z","title":"Hilbert’s sixth problem: derivation of ﬂuid equations via B oltz- mann’s kinetic theory","venue":null,"work_id":"afa531ea-b326-4ed8-8e93-0070e5e5cdf3","year":2025},"citing_paper":{"arxiv_id":"2605.19308","last_updated":"2026-05-19T03:40:44Z","snapshot_observed_at":"2026-07-06T23:30:02.207108Z","submitted_at":"2026-05-19T03:40:44Z","title":"Rigorous Derivation of the Wave Kinetic Equation for full $\\beta$-FPUT System","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-20T04:47:34.381286Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2605.19308"},"observation_digest":"sha256:572ca97c5af5b1ad71a7be73bc5ed7babdc798a336b5c798e681f9b12b451c34","observation_id":"286dd789-53ff-4d2c-b83f-47a5af1784c4","resolution":{"observed_at":"2026-05-20T04:48:06.050517Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":"2503.01800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-07-04T14:49:56.302424Z","title":"Hilbert’s sixth problem: derivation of ﬂuid equations via B oltz- mann’s kinetic theory","venue":null,"work_id":"afa531ea-b326-4ed8-8e93-0070e5e5cdf3","year":2025},"citing_paper":{"arxiv_id":"2606.26696","last_updated":"2026-06-25T07:28:02Z","snapshot_observed_at":"2026-08-07T18:17:58.319751Z","submitted_at":"2026-06-25T07:28:02Z","title":"Applicability of kinetic theory in strongly coupled thermal quantum systems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-26T02:11:50.653747Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2606.26696"},"observation_digest":"sha256:ccbb6117e73832a8e3499b4b6454c8762213ba4a945d0ebc5176af08bbd8c287","observation_id":"785c97ef-9181-4a10-a076-31f5e5e6c845","resolution":{"observed_at":"2026-07-04T14:49:56.304090Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-08-01T10:48:50.246393Z","title":"arXiv: 2503.01800v1 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.20134","last_updated":"2026-07-22T13:36:22Z","snapshot_observed_at":"2026-08-10T14:57:56.507605Z","submitted_at":"2026-07-22T13:36:22Z","title":"Derivation of the Boltzmann equation with no \"molecular chaos\"-type approximation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T10:48:50.246393Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2607.20134"},"observation_digest":"sha256:13486b585e45bdf56d74c5340d6be11b9f00550eedec1e4e3f5d085c0ca15bca","observation_id":"e3eef77e-35b2-47f6-a373-296ad451ecb4","resolution":{"observed_at":"2026-08-01T10:48:50.246393Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-08-02T10:22:58.515857Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21621","last_updated":"2026-08-04T06:41:56Z","snapshot_observed_at":"2026-08-10T17:04:54.016305Z","submitted_at":"2026-06-24T01:36:28Z","title":"A Spectral Criterion for Emergent Gravity","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-02T10:22:58.515857Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2607.21621"},"observation_digest":"sha256:af026100af36fc7b00e8fd1226dcc7cad7a8f81eae6e64c09d4354e545ca896e","observation_id":"9575b764-161f-4442-8770-85ba9157355a","resolution":{"observed_at":"2026-08-02T10:22:58.515857Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-08-01T11:09:22.392096Z","title":"Hilbert’s sixth problem: derivation of fluid equations via Boltzmann’s kinetic theory, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26672","last_updated":"2026-07-29T09:28:18Z","snapshot_observed_at":"2026-08-09T00:34:16.890744Z","submitted_at":"2026-07-29T09:28:18Z","title":"Relational Quantum Causal Processes: Exact Models, Continuum Limits, and the Boundary of Emergent Gravity","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T11:09:22.392096Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2607.26672"},"observation_digest":"sha256:da82ac9f7769f6486203641fdcfaf90761bb8662e326dc81a25e59fb529b025b","observation_id":"53d6f6b2-d26b-4d2f-bd15-9eb97b4defc5","resolution":{"observed_at":"2026-08-01T11:09:22.392096Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-08-01T06:07:15.824256Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.27540","last_updated":"2026-07-30T00:18:15Z","snapshot_observed_at":"2026-08-09T15:38:06.321339Z","submitted_at":"2026-07-30T00:18:15Z","title":"Gaussian non relativistic spontaneously stochastic hydrodynamics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T06:07:15.824256Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2607.27540"},"observation_digest":"sha256:010606f59989406716d67e2e8be68cb645390aa794af7335350eb213122c0ece","observation_id":"c5903a13-899a-4040-b606-3e7b67bf1ffe","resolution":{"observed_at":"2026-08-01T06:07:15.824256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-08-04T17:15:36.489021Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01989","last_updated":"2026-08-04T06:38:04Z","snapshot_observed_at":"2026-08-08T02:45:03.475208Z","submitted_at":"2026-08-03T09:50:42Z","title":"Coarse-Graining and the Classification of Long-Range Correlations in Quantum Field Theory","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T17:15:36.489021Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2608.01989"},"observation_digest":"sha256:7763c23373698188acf2e1b14f6e92241ea8ee38d381a8b92eeea26f7b3f3bfe","observation_id":"b4bbd970-2bdf-4806-bbff-cce132e037f7","resolution":{"observed_at":"2026-08-04T17:15:36.489021Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.01800","snapshot_observed_at":"2026-08-07T00:15:54.594760Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01989","last_updated":"2026-08-04T06:38:04Z","snapshot_observed_at":"2026-08-08T02:45:03.475208Z","submitted_at":"2026-08-03T09:50:42Z","title":"Coarse-Graining and the Classification of Long-Range Correlations in Quantum Field Theory","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T00:15:54.594760Z"},"links":{"cited_paper":"/paper/2503.01800","citing_paper":"/paper/2608.01989"},"observation_digest":"sha256:12d70c684d21b38d56151a5e00468511d1317cc7d3c2304ec34f8aac620578ed","observation_id":"fc610df7-6259-4e2b-85e5-fea89718d843","resolution":{"observed_at":"2026-08-07T00:15:54.594760Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2503.01800/citation-record","integrity":"/paper/2503.01800/integrity","json":"/paper/2503.01800/citation-record.json","paper":"/paper/2503.01800"},"outbound":[],"paper":{"arxiv_id":"2503.01800","last_updated":"2025-03-03T18:29:05Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-07T17:32:46.547277Z","submitted_at":"2025-03-03T18:29:05Z","title":"Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:2503.01800."}