{"as_of":"2026-08-14T13:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fa4d7cdd4ba4d4176d1a1615230b67c7f9c952c77f071155a5713fdd1598d0f6","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":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":11,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T05:35:48.895686Z","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":"2026-07-04T12:49:52.590107Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-07-15T13:04:19.076240Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.07782","last_updated":"2026-05-26T15:14:22Z","snapshot_observed_at":"2026-08-13T18:31:04.748708Z","submitted_at":"2026-03-08T19:50:03Z","title":"Continuous-Time Heterogeneous Agent Models with Recursive Utility and Preference for Late Resolution","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-15T13:04:19.076240Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2603.07782"},"observation_digest":"sha256:10911590407f41bb956bbc160a35fb1a747a7766dc30de65e227704a2cdef5a5","observation_id":"c82b95a7-5f80-4170-a215-1f57a65f95bd","resolution":{"observed_at":"2026-07-15T13:04:19.076240Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":"2406.13726","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-07-04T12:49:52.590107Z","title":"P., Faisal, A","venue":null,"work_id":"e3178423-b918-43f7-a215-7d726202f917","year":2024},"citing_paper":{"arxiv_id":"2605.03357","last_updated":"2026-06-08T10:04:16Z","snapshot_observed_at":"2026-07-06T23:16:15.509235Z","submitted_at":"2026-05-05T04:33:40Z","title":"Population-Aware Imitation Learning in Mean-field Games with Common Noise","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-07T17:25:36.968635Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2605.03357"},"observation_digest":"sha256:c1dd4b7e232430cad7133ceed4e8f21aa673f11312e269f54176abb1b63a5ae4","observation_id":"8b5aff2a-f0cc-4e4d-b129-9b11d186a2bc","resolution":{"observed_at":"2026-05-11T23:21:14.738543Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":"2406.13726","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-07-04T12:49:52.590107Z","title":"P., Faisal, A","venue":null,"work_id":"e3178423-b918-43f7-a215-7d726202f917","year":2024},"citing_paper":{"arxiv_id":"2605.03357","last_updated":"2026-06-08T10:04:16Z","snapshot_observed_at":"2026-07-06T23:16:15.509235Z","submitted_at":"2026-05-05T04:33:40Z","title":"Population-Aware Imitation Learning in Mean-field Games with Common Noise","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-30T23:49:00.370009Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2605.03357"},"observation_digest":"sha256:e838fae5721546cc44677888e9d6ad41af011c7a134d59272b565bdf3b7741ef","observation_id":"b2d2a485-7e65-4bb6-8dbb-b3c2147eeee2","resolution":{"observed_at":"2026-07-01T13:15:45.916746Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":"2406.13726","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-07-04T12:49:52.590107Z","title":"P., Faisal, A","venue":null,"work_id":"e3178423-b918-43f7-a215-7d726202f917","year":2024},"citing_paper":{"arxiv_id":"2605.05127","last_updated":"2026-07-31T21:01:00Z","snapshot_observed_at":"2026-08-11T01:02:22.267127Z","submitted_at":"2026-05-06T16:55:58Z","title":"Automation, Income Incidence, and Capital Accumulation in Incomplete Markets","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-05-08T16:10:02.166601Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2605.05127"},"observation_digest":"sha256:6d376bbf7901af3b74cb40043c4699363677673e405736b61abd3eddf5c89b76","observation_id":"8769c2fa-3036-494f-a2a6-cb65023feaf4","resolution":{"observed_at":"2026-05-11T18:21:09.651670Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-08-04T05:20:16.315103Z","title":"Lauri\\`ere, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.05127","last_updated":"2026-07-31T21:01:00Z","snapshot_observed_at":"2026-08-11T01:02:22.267127Z","submitted_at":"2026-05-06T16:55:58Z","title":"Automation, Income Incidence, and Capital Accumulation in Incomplete Markets","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-04T05:20:16.315103Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2605.05127"},"observation_digest":"sha256:606504c479baddbea3c48ba0d596b919f56aa8797a5c489d899e137e2b13bdba","observation_id":"d66286a8-9633-4770-8efd-8ed83875a867","resolution":{"observed_at":"2026-08-04T05:20:16.315103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":"2406.13726","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-07-04T12:49:52.590107Z","title":"P., Faisal, A","venue":null,"work_id":"e3178423-b918-43f7-a215-7d726202f917","year":2024},"citing_paper":{"arxiv_id":"2605.14493","last_updated":"2026-05-14T07:33:36Z","snapshot_observed_at":"2026-08-11T15:36:23.431435Z","submitted_at":"2026-05-14T07:33:36Z","title":"Deep Learning for Solving and Estimating Dynamic Models in Economics and Finance","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-15T01:29:18.160292Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2605.14493"},"observation_digest":"sha256:991f9aef60029f7c1c5562a4ee81e97d44cdab3cec69968869c717bb985c1ccb","observation_id":"ab03b770-83ab-4be4-9bb7-6fbeec10e77f","resolution":{"observed_at":"2026-05-15T01:29:37.432147Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":"2406.13726","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-07-04T12:49:52.590107Z","title":"P., Faisal, A","venue":null,"work_id":"e3178423-b918-43f7-a215-7d726202f917","year":2024},"citing_paper":{"arxiv_id":"2606.07976","last_updated":"2026-06-06T04:32:48Z","snapshot_observed_at":"2026-08-09T03:09:21.101140Z","submitted_at":"2026-06-06T04:32:48Z","title":"A Measure-Consistent Operator Learning Method for Infinite-Dimensional Master Equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T19:48:35.367445Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2606.07976"},"observation_digest":"sha256:9c249ecb61b9f3a71257d0d0b21b9780488665096347a5b8c3d97c372f3cf3c0","observation_id":"6047d8b9-b6ee-4646-92c1-642add1f1b7e","resolution":{"observed_at":"2026-07-02T21:17:25.092828Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":"2406.13726","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-07-04T12:49:52.590107Z","title":"P., Faisal, A","venue":null,"work_id":"e3178423-b918-43f7-a215-7d726202f917","year":2024},"citing_paper":{"arxiv_id":"2606.23408","last_updated":"2026-06-22T14:33:29Z","snapshot_observed_at":"2026-08-10T21:49:43.087333Z","submitted_at":"2026-06-22T14:33:29Z","title":"Finite difference methods for a continuous-time heterogeneous agent model with recursive utility","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-26T07:29:02.111450Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2606.23408"},"observation_digest":"sha256:57aee797eb8d599a7b1673035ba5518740cfe1d65f0695c659dffe8fbcea805e","observation_id":"1a21fe0f-c3dd-49cd-9f3a-32d0b79ae9d8","resolution":{"observed_at":"2026-07-04T11:59:50.210117Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":"2406.13726","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-07-04T12:49:52.590107Z","title":"P., Faisal, A","venue":null,"work_id":"e3178423-b918-43f7-a215-7d726202f917","year":2024},"citing_paper":{"arxiv_id":"2606.23463","last_updated":"2026-06-22T15:12:02Z","snapshot_observed_at":"2026-08-12T01:18:36.052417Z","submitted_at":"2026-06-22T15:12:02Z","title":"Equilibrium World Models","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-26T05:54:23.588768Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2606.23463"},"observation_digest":"sha256:96f526656e2b602539f2873862533617e0e236e6811aa1c26ffbbd9e7f0a26a3","observation_id":"e588358a-5a85-4bd5-b1e3-2b2cb7e1e22b","resolution":{"observed_at":"2026-07-04T12:49:52.591635Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-08-01T19:13:29.746719Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.17073","last_updated":"2026-07-19T04:41:17Z","snapshot_observed_at":"2026-08-14T00:58:34.015683Z","submitted_at":"2026-07-19T04:41:17Z","title":"Faithful Decoding","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-01T19:13:29.746719Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2607.17073"},"observation_digest":"sha256:e8c96a0c5f9b695d91977e983e08e67ed35f5f7c50f2ff3bdd546670a33710b1","observation_id":"0ffab76e-7b30-48c8-beb7-2ae479dcf63b","resolution":{"observed_at":"2026-08-01T19:13:29.746719Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.13726","snapshot_observed_at":"2026-08-12T05:35:48.895686Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.11134","last_updated":"2026-08-11T16:53:36Z","snapshot_observed_at":"2026-08-14T13:12:57.538034Z","submitted_at":"2026-08-11T16:53:36Z","title":"Mastering Stochastic OLG Models in Continuous Time","version":1},"reference_index":104,"source":"arxiv_source","source_observed_at":"2026-08-12T05:35:48.895686Z"},"links":{"cited_paper":"/paper/2406.13726","citing_paper":"/paper/2608.11134"},"observation_digest":"sha256:c8eeca2cdd746ef74c09ae2f875eb9e18039b2701d3bb14f8b9c67c047f4c6cc","observation_id":"305a4213-e5fd-4082-ba2c-5bb898d92f32","resolution":{"observed_at":"2026-08-12T05:35:48.895686Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2406.13726/citation-record","integrity":"/paper/2406.13726/integrity","json":"/paper/2406.13726/citation-record.json","paper":"/paper/2406.13726"},"outbound":[],"paper":{"arxiv_id":"2406.13726","last_updated":"2024-06-19T17:42:53Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-12T23:39:00.129306Z","submitted_at":"2024-06-19T17:42:53Z","title":"Global Solutions to Master Equations for Continuous Time Heterogeneous Agent Macroeconomic Models"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2406.13726."}