{"as_of":"2026-08-08T13:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:901eacb8f5451d2358b080ffcfcebf8a8ccbff95fd66250c917a6e81fbcba2ce","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T06:05:13.983783Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2506.06640/citation-record","integrity":"/paper/2506.06640/integrity","json":"/paper/2506.06640/citation-record.json","paper":"/paper/2506.06640"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.455622Z","title":"Alladi, A multi-dimensional extension of Sylvester's identity, Int","venue":null,"work_id":"69b79047-3cf7-4dd5-9379-e873df311992","year":2017},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.854439Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:fb2d22b469346c7a503c896608c7d4f431f87623b86e5ccec9872715f8858e44","observation_id":"eacaffca-d521-4f12-b57c-66192dd35a3b","resolution":{"observed_at":"2026-08-07T06:05:14.458974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.445844Z","title":"Alladi and A","venue":null,"work_id":"173f5733-3a99-490f-8d92-6c4485d1e4fe","year":2004},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.858462Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:af0d6b38a7b2505486cd969c3e494be48be19be22c2a82565ab4a594cc159fe5","observation_id":"4cb4b900-1e3f-4598-9428-db433dd75517","resolution":{"observed_at":"2026-08-07T06:05:14.448686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.436854Z","title":"Alladi and B","venue":null,"work_id":"4144af57-2ad2-4117-87c8-79dd5aac65c2","year":1993},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.862280Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:7fc82e3e7f69e752fa01aab76d4d204173d604416952f94412a613e2c2187d14","observation_id":"bf04c1b5-1759-464f-abcf-ad28c06ba3bc","resolution":{"observed_at":"2026-08-07T06:05:14.440026Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.426296Z","title":null,"venue":null,"work_id":"e576bd00-1c8f-40ef-8334-fd21b7b25bc5","year":1972},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.865382Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:548dfc7fb2d6496471e73b24f75a814536b5945089f4e5d4dabf6a298a5f7c2a","observation_id":"21f92f3c-590e-4953-98cf-55667b8a9d1c","resolution":{"observed_at":"2026-08-07T06:05:14.429306Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.415092Z","title":null,"venue":null,"work_id":"eafdd838-6576-4709-bb6e-828b841d832d","year":1979},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.868997Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:7cc1c4bb2f0dc07468752e21dffaaff95434d27ea03c5de581310ef662ace4f8","observation_id":"1f3196f8-83d5-47ab-91bb-0bf1068f2227","resolution":{"observed_at":"2026-08-07T06:05:14.418333Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.404218Z","title":null,"venue":null,"work_id":"f97b0d7b-3ff9-4460-9bdb-f97b4debd736","year":1998},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.872020Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:48162cb181bcea555d6100e046976eee8973dd423ca8ff22eba79d3250feb9ca","observation_id":"5a13f4e0-a0c2-442a-a182-78499414d1a2","resolution":{"observed_at":"2026-08-07T06:05:14.407590Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.393146Z","title":null,"venue":null,"work_id":"2548aca5-50c4-4217-928e-600c90f3fe30","year":2025},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.875425Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:e0665274be744b711d84879ff94a54e2b4d02a7b1288956799589454a118c376","observation_id":"f56f68c3-18df-43bf-bd8c-68e7f3fea5f7","resolution":{"observed_at":"2026-08-07T06:05:14.396510Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.383178Z","title":"Chen and S","venue":null,"work_id":"82319442-5139-4ed8-a75d-9b668bd3d4bc","year":2024},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.878225Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:7c7cc18f68f7870933ec8ffe389866d678625a96cd36bbcbebb0f4b82acb559d","observation_id":"4829ec4f-540b-4e0a-9903-cf0e7e4ea76b","resolution":{"observed_at":"2026-08-07T06:05:14.386059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.372897Z","title":"Corteel and J","venue":null,"work_id":"00351448-aa78-4bfb-8895-ddbc78e63ceb","year":2004},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.881014Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:5cea9ecfded5d2e0a32a65997b14f4c607185517b732f9c1c3986b93da2c7d13","observation_id":"d62e23cd-0689-4fd7-8e2c-6601517b5fef","resolution":{"observed_at":"2026-08-07T06:05:14.376034Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.361644Z","title":null,"venue":null,"work_id":"eea5fcc4-c23c-4792-abdb-f462566ac15c","year":1987},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.883842Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:849c699724f46b9e9202b71f28737e70238fe353c453346dd2006edbe6706c29","observation_id":"eb236d0d-8c7f-43ce-85d6-1be21c2b1467","resolution":{"observed_at":"2026-08-07T06:05:14.365114Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.350778Z","title":null,"venue":null,"work_id":"4f9ed0b8-0b89-4a2d-897c-5a21e462ee64","year":2015},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.886834Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:b9924e6150ff3fafac161b264d68dcf2c4d4a3692ae9c042d1b7489ae20d6898","observation_id":"ee70d6d4-207a-41bc-bd29-0c0b46dfd3c1","resolution":{"observed_at":"2026-08-07T06:05:14.353880Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.340276Z","title":null,"venue":null,"work_id":"c4617c51-678d-4e26-8a31-10570869ee17","year":2021},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.889832Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:217f09181f88af97226a1498fd487736913d0a3f4b1f01f609360d32eb59b6a9","observation_id":"48e6dc35-d6fa-4d23-9e3b-5381dfb20299","resolution":{"observed_at":"2026-08-07T06:05:14.343556Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.329562Z","title":null,"venue":null,"work_id":"0ad0010a-31af-4183-826c-be34caf9ca9d","year":2022},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.892510Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:673dbd0a57ac7b2604e08e43a5e0e7db5d067cb8678055ef70e2c5f7dfdfc4eb","observation_id":"bf22ac28-6c26-44b9-a069-a7f9102bf492","resolution":{"observed_at":"2026-08-07T06:05:14.332640Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.319137Z","title":null,"venue":null,"work_id":"8626242d-2c80-417c-be67-a8e5f942e6a1","year":2022},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.895269Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:de3443add8adf8ecebdbe24b663cc0d970ad91ba1af1cfa7639c0b6e3d4e9a1a","observation_id":"9c5d2147-ad8f-4ace-b27d-7930874c6213","resolution":{"observed_at":"2026-08-07T06:05:14.322255Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.308220Z","title":"Berkovich and A","venue":null,"work_id":"8516e9f8-1f42-4573-bf9d-41ea3b814d81","year":2019},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.897988Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:0a0eefbefaaba9f95a7f48d8b31b0186a37ca2a6fe45555d9f117534a2be3575","observation_id":"8c7b5b72-e9e2-4d0e-ad88-81cc4fc02171","resolution":{"observed_at":"2026-08-07T06:05:14.311848Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.297285Z","title":"Bessenrodt, A bijection for Lebesgue's partition identity in the spirit of Sylvester, Discrete Math","venue":null,"work_id":"a3f16fc8-9b1f-4883-a67b-ddc2ef253e6c","year":1994},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.901126Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:f45a409cc51061df3f3f8ddc7357858735e322e42ceae400cd1816b29687ed05","observation_id":"214bd94d-cfbb-47f5-ab3d-b7f528254efa","resolution":{"observed_at":"2026-08-07T06:05:14.300858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1002.0135","last_updated":"2010-04-12T03:32:25Z","snapshot_observed_at":"2026-08-02T11:23:40.922861Z","submitted_at":"2010-01-31T15:36:50Z","title":"An Iterated Map for the Lebesgue Identity","version":2},"cited_work":{"arxiv_id":"1002.0135","doi":null,"metadata_source":"pith","pith_arxiv_id":"1002.0135","snapshot_observed_at":"2026-08-07T06:05:14.054460Z","title":"An Iterated Map for the Lebesgue Identity","venue":"math.CO","work_id":"f9c60937-24d2-49a1-8eea-ea382284f6b5","year":2010},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.903908Z"},"links":{"cited_paper":"/paper/1002.0135","citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:9103a4373984372d6f1d72a4a58772edf9686f2dbebf3568fe967815830186fa","observation_id":"d3c1b79e-a115-4da0-b1c9-c8a01d31661a","resolution":{"observed_at":"2026-08-07T06:05:14.058316Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.286386Z","title":"Chern, S","venue":null,"work_id":"d050110b-f83f-45e9-bac7-c3edbc89d79a","year":2020},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.907546Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:517772b41ac9c0194957d45ee23ab54f4c3f39cb640fcc1b6915d2a5572c7087","observation_id":"47d1f8ec-6565-48d6-b376-9053c107e8ac","resolution":{"observed_at":"2026-08-07T06:05:14.289679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.275122Z","title":"Corteel and J","venue":null,"work_id":"1c687e6a-bf95-4ef9-93b4-aa3132fd8dd4","year":2004},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.910371Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:fda1f69ab5a20d2310cb9064565b7801fdcce370ea96a3dbb90342e5e8ce42ab","observation_id":"82663448-188a-49e1-89fd-7b6ab5021cf1","resolution":{"observed_at":"2026-08-07T06:05:14.278374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.265132Z","title":"Dousse and B","venue":null,"work_id":"0eab6e7e-571f-492f-a1d9-8dcd7a6ecd2e","year":2018},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.914405Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:5b3cb77ab67856e3f997e57666535c3db3000c54a8eff26f9e30f0ca7322f5da","observation_id":"ba6169d7-4230-4698-856f-fc617c451c56","resolution":{"observed_at":"2026-08-07T06:05:14.268370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.254267Z","title":"Fu and H","venue":null,"work_id":"6edefb17-0369-41d7-8d76-ffd86828afa4","year":null},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.917151Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:2caafff4445cb3e5638c24382eefc2fbeb928e31a16610472938f59aa7fc7702","observation_id":"765cf045-23d5-4edf-a571-92438f09273e","resolution":{"observed_at":"2026-08-07T06:05:14.257565Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.242407Z","title":"Fu and H","venue":null,"work_id":"c784bb47-ed11-40d6-adcf-7e4569338610","year":null},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.920143Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:228814d39f07e850635b371b52dfa7c94b0c429e5911d5a3d972a2b264965041","observation_id":"3e017530-ae88-46a9-b1ae-72f19ac824ac","resolution":{"observed_at":"2026-08-07T06:05:14.245725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.232244Z","title":"Fu and H","venue":null,"work_id":"a4361607-5b3c-4c05-adb2-21984131161e","year":null},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.923130Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:2634faa29c5ce515f73d64d0bb05375c7149a7235146d38a0d5f5bee4037b234","observation_id":"b1975813-eb29-4a39-a796-8daf8852e105","resolution":{"observed_at":"2026-08-07T06:05:14.235491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.222223Z","title":"Fu and D","venue":null,"work_id":"1dd36ec1-58b6-4031-994d-4be65c5f4598","year":2018},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.926497Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:387fa3f025681fc345e786b83e28c0eeaa752588b18998d6f5ff19a827ea4398","observation_id":"c39aeb98-b5e9-40b7-9bf5-250fba88f28b","resolution":{"observed_at":"2026-08-07T06:05:14.225446Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.212423Z","title":"Gasper and M","venue":null,"work_id":"62eb9dbb-664d-4f70-971c-490ebdeae757","year":1990},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.929890Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:7305d20d75dbcfbaae99612073abd5555c09385033547e65f8dc9361d46d2d47","observation_id":"4397be87-62ad-4ec3-a8fa-b70d93909f15","resolution":{"observed_at":"2026-08-07T06:05:14.215370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.202596Z","title":null,"venue":null,"work_id":"f7340261-17c1-467b-a88a-99de9d609d56","year":2024},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.932942Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:d8ba4467961cfa42e15e42860288fa4019e98b8a52148e3816b91f87f85a6da3","observation_id":"a4967603-8eba-4f06-afa9-8e96022f0f72","resolution":{"observed_at":"2026-08-07T06:05:14.205573Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.192106Z","title":"Kur s ung\\\" o z, Parity considerations in Andrews-Gordon identities, European J","venue":null,"work_id":"7b56d9b1-b375-4c9d-bc52-dafdefa2e418","year":2010},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.936119Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:399c85e1452531f86a3c531cbc8549dcf7653833947f05429651cb642ef84b49","observation_id":"6e27c24a-f578-4e3d-ae5f-66104ef12971","resolution":{"observed_at":"2026-08-07T06:05:14.195429Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.182184Z","title":"Li and L","venue":null,"work_id":"f85bec12-3f04-4194-a09d-34a0abe89b31","year":2024},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.939469Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:f2042196e0d74bf32cd0f92a986c1b59ba0c6169f7ba34d8ee868f13eddb0a80","observation_id":"fd3c2ee4-13c3-4239-892e-b1f9b62fff70","resolution":{"observed_at":"2026-08-07T06:05:14.185133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.172239Z","title":null,"venue":null,"work_id":"854aa05b-fc7d-4ce1-a311-a040fc5cf89c","year":1915},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.942806Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:9346cc48af841409e6f088d324be9861ef597315f5897779ca4810718cdad047","observation_id":"8792866a-6da8-473f-bc7d-54697c1eda65","resolution":{"observed_at":"2026-08-07T06:05:14.175272Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.161920Z","title":"Gupta, The rank-vector of a partition, Fibonacci Quart","venue":null,"work_id":"16211d7e-6eb4-4ef4-a8a5-6a78ac3b3309","year":1978},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.946413Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:edaf0359936fbe5bc2d0006509eb5adbd0040ceef3601e5d06dbb8e5bc63b178","observation_id":"098aa40e-2112-4830-8d65-dd272895405c","resolution":{"observed_at":"2026-08-07T06:05:14.165053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.151871Z","title":null,"venue":null,"work_id":"64e6c1aa-4a1d-4ce7-8254-6757d18a7ad0","year":2011},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.949425Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:a4a0e5cc3820e1df7fcfc2314e2c4a07739ea98ba3a3612d5ac1d5095c7293d2","observation_id":"4d2d360e-4706-4f41-b183-9345d7e529a1","resolution":{"observed_at":"2026-08-07T06:05:14.154927Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.141413Z","title":"Lovejoy and R","venue":null,"work_id":"3d6ef3aa-cc85-4ef6-a5ec-e567e6ccf2aa","year":2009},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.952731Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:c685f0dd4a31a6a40fc18959500a99964ad65dedab4e83ee8b02d17c069e349f","observation_id":"0ea86b4a-615d-481d-aa52-6b1dc2b265e0","resolution":{"observed_at":"2026-08-07T06:05:14.144653Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.131114Z","title":null,"venue":null,"work_id":"96dd330a-cc86-49b4-8a5f-d62ba766152e","year":1923},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.956243Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:e96d5dd186c65c31478df318d756d4984d02df7e2dd245953d025f091d9c8b7c","observation_id":"7014973b-c88f-4cc2-aee6-d97e3de0c158","resolution":{"observed_at":"2026-08-07T06:05:14.134208Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.121240Z","title":"Pak, Partition bijections, a survey, Ramanujan J","venue":null,"work_id":"faf1389e-8a22-47b8-a1f3-6134c4dd4c91","year":2006},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.959525Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:5b9bab338039ca2427249efb1d9c915406266884e299b152665e3fea34d559b0","observation_id":"0e0b899e-75cd-461d-acca-26ddbec110bc","resolution":{"observed_at":"2026-08-07T06:05:14.124369Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.110213Z","title":"Rogers, Second memoir on the expansion of certain infinite products, Proc","venue":null,"work_id":"371a549d-4a94-4d86-96dd-d4cc8cf24b3d","year":null},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.962602Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:6df2cf1cecc4aa1eefce9aa2680dd537505626ebedce6c8571a4f293b405a2b8","observation_id":"0c3d975c-a68f-4ee0-99e7-cf8e72e9e727","resolution":{"observed_at":"2026-08-07T06:05:14.113473Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.19309","last_updated":"2025-02-26T17:07:19Z","snapshot_observed_at":"2026-08-07T17:45:35.715375Z","submitted_at":"2025-02-26T17:07:19Z","title":"Rogers--Ramanujan Type Identities for Rank Two Partial Nahm Sums","version":1},"cited_work":{"arxiv_id":"2502.19309","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.19309","snapshot_observed_at":"2026-08-07T06:05:14.038053Z","title":"Rogers--Ramanujan Type Identities for Rank Two Partial Nahm Sums","venue":"math.NT","work_id":"bd12bd3e-8e31-4d84-9637-926181e42985","year":2025},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.966304Z"},"links":{"cited_paper":"/paper/2502.19309","citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:f2536d2a0d3fd177a9c40a0edabea2a5ebb5919908692fcf999417eb301dd0d3","observation_id":"ab0fc43f-ef2f-45b7-bd33-943d75c422e3","resolution":{"observed_at":"2026-08-07T06:05:14.041956Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.00357","last_updated":"2024-08-28T14:24:17Z","snapshot_observed_at":"2026-07-06T14:47:00.945435Z","submitted_at":"2023-02-01T10:36:56Z","title":"Multidimensional Rogers-Ramanujan type identities with parameters","version":3},"cited_work":{"arxiv_id":"2302.00357","doi":null,"metadata_source":"pith","pith_arxiv_id":"2302.00357","snapshot_observed_at":"2026-08-07T06:05:14.017044Z","title":"Multidimensional Rogers-Ramanujan type identities with parameters","venue":"math.CO","work_id":"999a1419-0c0d-44b5-9742-8e74e4844ef5","year":2023},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.970435Z"},"links":{"cited_paper":"/paper/2302.00357","citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:cbce659c411025072cda45511a58eb573b0e7baa6e75d6954310bc8dd42cb909","observation_id":"11b6c1de-94c0-4686-93f0-7d20dd10a2fe","resolution":{"observed_at":"2026-08-07T06:05:14.022990Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.099979Z","title":null,"venue":null,"work_id":"0882a370-9961-4ce6-871c-0c7deb17ba28","year":2021},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.974141Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:0496e004e77b89562c7b62480b1578afa9432cd5d569acd0e440d2a610b83a34","observation_id":"1e4a0ef7-db59-47f4-93a2-636b0a61bdfa","resolution":{"observed_at":"2026-08-07T06:05:14.103039Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.088483Z","title":null,"venue":null,"work_id":"b4228967-a95b-427a-9b81-9d5e4ff70c03","year":2011},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.977358Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:a14bc5484a22dfab998dd415c83888f7d42ff1e208910abd00c12fa7f8cc6e9a","observation_id":"4dbef988-c684-4bdc-be63-cede32b63cd5","resolution":{"observed_at":"2026-08-07T06:05:14.092045Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.077557Z","title":null,"venue":null,"work_id":"449d3417-23b3-47e8-845d-acc7b290d785","year":1997},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.980595Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:d1cbbf7acc509e6033404cbece17717ffdcce6b50e4d83aa4494e7b9f3961c27","observation_id":"2c65b6b9-ffc5-456b-a682-bc66c537b42c","resolution":{"observed_at":"2026-08-07T06:05:14.080844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:05:14.066282Z","title":"Zeng, The q -variations of Sylvester's bijection between odd and strict partitions, Ramanujan J","venue":null,"work_id":"be7defae-b4c3-4ed7-8496-a673db350dff","year":2005},"citing_paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-07T06:05:13.983783Z"},"links":{"citing_paper":"/paper/2506.06640"},"observation_digest":"sha256:c070be0a27141e7a56f13b58f1db1ce7487fc481c6485caec3d7b7cf3edd3ee3","observation_id":"a7bc8481-7d77-4524-8cb4-e2c93acaaa16","resolution":{"observed_at":"2026-08-07T06:05:14.069789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.06640","last_updated":"2025-06-17T02:38:56Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-07T05:50:30.238511Z","submitted_at":"2025-06-07T03:28:04Z","title":"The combinatorics of identities involving overpartitions with distinct parts"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":3,"verified_fuzzy":22},"total_outbound_references":41},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2506.06640."}