{"as_of":"2026-08-13T03:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:96ea80df35bf75ab2d615d2f39334e8bab5ab5686967cdb005d841dc26e967f8","coverage":[{"denominator":46,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":46,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T14:21:27.414695Z","state":"measured"},{"denominator":47,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":47,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T15:14:26.116280Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T10:56:06.194574Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"cited_work":{"arxiv_id":"2411.15496","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.15496","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"34bc64f2-06a7-4c9f-a00a-a77cb3082682","year":2025},"citing_paper":{"arxiv_id":"2604.11902","last_updated":"2026-06-11T16:31:17Z","snapshot_observed_at":"2026-08-03T01:42:22.914253Z","submitted_at":"2026-04-13T18:00:15Z","title":"Universal formulae for correlators of a broad class of models","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-05-10T15:14:26.116280Z"},"links":{"cited_paper":"/paper/2411.15496","citing_paper":"/paper/2604.11902"},"observation_digest":"sha256:c6c2d58529cd7a41d740a2409256abd6e78c880b368b00f58ab30ff8bd939a56","observation_id":"06046dca-3ef6-42ec-a940-2a4d347d38fc","resolution":{"observed_at":"2026-05-11T10:56:06.197846Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2411.15496/citation-record","integrity":"/paper/2411.15496/integrity","json":"/paper/2411.15496/citation-record.json","paper":"/paper/2411.15496"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.158015Z","title":"Arsie, A","venue":null,"work_id":"0b9d3887-ecde-492b-9952-0bac227b455f","year":2021},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.224596Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:7b3ab60d5f491bfab5b773769100c94f4ec8dcf644acfad5426a378570e7abbc","observation_id":"3bdc29a1-d223-491f-9e60-32910459d257","resolution":{"observed_at":"2026-08-12T14:21:28.162041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.146490Z","title":"Arsie, A","venue":null,"work_id":"b82d2dbd-2d6d-4101-90b2-fdd4b1efcd08","year":2023},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.229033Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:32dba45e12ab6dc484aaaed683070370b83f919020d9221e29e241fc4b75ee22","observation_id":"3afa8625-e804-473e-bf71-7b8dca674539","resolution":{"observed_at":"2026-08-12T14:21:28.150314Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.12334","last_updated":"2025-05-28T12:51:20Z","snapshot_observed_at":"2026-08-13T00:03:30.873744Z","submitted_at":"2024-05-20T19:06:14Z","title":"On the strong DR/DZ equivalence conjecture","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.12334","snapshot_observed_at":"2026-08-12T14:21:27.233013Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.233013Z"},"links":{"cited_paper":"/paper/2405.12334","citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:1fb9b2f13c654f49d0f44760441fdc4d3bfff0480ace538e78287b971feb30e0","observation_id":"bc32bf66-1142-49cb-9505-277fb2ca0193","resolution":{"observed_at":"2026-08-12T14:21:27.233013Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.134498Z","title":"Brini, G","venue":null,"work_id":"7dc22339-1383-4e08-8cd1-5541ca868071","year":2012},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.237832Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:b505964c4207fb8e4a83da511d5416edc4f96d7fbf2fa69d2bcdd73e3c904a4e","observation_id":"b9d3d8a5-2af6-43de-aa4c-61855adf6d15","resolution":{"observed_at":"2026-08-12T14:21:28.138534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.121850Z","title":"Buryak, Double ramification cycles and integrable hie rarchies, Comm","venue":null,"work_id":"85a15bb6-a31e-4701-8dd4-bf7debfbf425","year":2015},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.242980Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:c793e9d5d31e351ac1e832cc9706221fbd3cc1423f43cc76348819f088ff1dc9","observation_id":"3376c2b1-aa99-4c6c-9cd8-7ed1379ed2db","resolution":{"observed_at":"2026-08-12T14:21:28.125881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.108730Z","title":"Buryak, H","venue":null,"work_id":"6f390fca-ecb7-47c0-8c6c-71d26b1f3951","year":2012},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.247178Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:dd5a6a038866ba7b5436a28f765e31e854cfccd32828020ca128b91bf897f6e5","observation_id":"47873155-f288-4a8d-8818-70711f26b60a","resolution":{"observed_at":"2026-08-12T14:21:28.113481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.095614Z","title":"Buryak, H","venue":null,"work_id":"ce1d41f3-4ff4-46e9-bfa1-3e1b0c2344f6","year":2012},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.251076Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:482c3c51b8baefe01cee66c4ed4dae148fbc2815097e99d7b980d7b5abb177fd","observation_id":"028cd0ef-e285-4e07-8bd0-48dba974cbd9","resolution":{"observed_at":"2026-08-12T14:21:28.099460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.082405Z","title":"Carlet, B","venue":null,"work_id":"dafa7884-c408-4532-9a7e-f49849bbf334","year":2004},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.255569Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:6375f0024fddd6cc069d7aba3be17081dbb42242194591a6e739367b04eec0b8","observation_id":"88ce35be-c248-4350-b898-8548af98b13a","resolution":{"observed_at":"2026-08-12T14:21:28.086956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.15621","last_updated":"2025-09-07T18:26:42Z","snapshot_observed_at":"2026-07-06T13:15:46.719493Z","submitted_at":"2022-05-31T09:05:39Z","title":"Relations on $\\overline{\\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.15621","snapshot_observed_at":"2026-08-12T14:21:27.259621Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.259621Z"},"links":{"cited_paper":"/paper/2205.15621","citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:bdaa80c1961dc7b3cddc7936dae22ea188c8cd0b70e8c9263c9da23df8e49a67","observation_id":"60d32ef8-12ec-47e0-8fe1-eb7280098f10","resolution":{"observed_at":"2026-08-12T14:21:27.259621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.069651Z","title":"Dubrovin, Geometry of 2D topological field theories, In: Integrable systems and quantum groups (Montecatini Terms, 1993), Lecture Notes in Math., 1620, Springer, Berlin, 1996, pp","venue":null,"work_id":"65feb1e4-777f-4a23-ac6e-825ec20b6eb8","year":1993},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.264491Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:dffdcf40b23a67bdff33941659c811bcacebe176dacdab1c8e236990681d5854","observation_id":"de286707-d184-4f08-b515-84559209f449","resolution":{"observed_at":"2026-08-12T14:21:28.073978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.056671Z","title":"Dubrovin, Integrable systems and classification of 2 -dimensional topological field theories, In: Integrable Systems, Progress in Mathematics , vol","venue":null,"work_id":"ccaf4f71-86a3-4d91-acc9-26de64a3d089","year":1993},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.268107Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:b32991133216f8e281055fa9f2b8726e88a48e1918e91eb1e9168ee8c1fba299","observation_id":"a11f8eee-ef8a-4f70-be06-9d53807e0d23","resolution":{"observed_at":"2026-08-12T14:21:28.062025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.039460Z","title":"Dubrovin, Painlev´ e transcendents in two-dimensio nal topological field theory, In: The Painlev´ e property, CRM Ser","venue":null,"work_id":"27c0413f-c0df-4522-a42c-f43cb4850c88","year":1999},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.271834Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:3c233378354dbbdae2ed19261bc869c29a68afb0a8acfa9248a12c2ec39c057e","observation_id":"3ef455d9-b7d5-44f8-a799-7a74a71df7b0","resolution":{"observed_at":"2026-08-12T14:21:28.046876Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:28.024620Z","title":"Dubrovin, S.-Q","venue":null,"work_id":"d2a19e88-423e-416a-a4ca-9e45d4291585","year":2018},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.275768Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:fb5ce2e130b8e05ccb52d59d3fb622b52ae0f197267ecb17399b97e6731877c5","observation_id":"8d537764-6f8b-44cd-b69f-885dd03d18d3","resolution":{"observed_at":"2026-08-12T14:21:28.028746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.995906Z","title":"Dubrovin, Y","venue":null,"work_id":"7226c8cb-bbbb-4b73-b6d6-25a2642152a7","year":1999},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.279555Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:b0bbdfc02d228f27a6a6388e852eef4fe49ec94ad6ffde7fc5d5f55fedc2ac72","observation_id":"03226e9b-01dc-4f7f-bbc8-255d3ec1abcc","resolution":{"observed_at":"2026-08-12T14:21:28.002724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"h/0108160","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.614812Z","title":"Dubrovin, Y","venue":null,"work_id":"de77bb91-b693-4e2a-9640-f45c691178b3","year":null},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.283155Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:51acf85ca7560630ba56ae4f4f35951152de0739774d214ce4fd6b32600fe1b1","observation_id":"a0ae43cc-067b-44f1-a67a-0204f301d1db","resolution":{"observed_at":"2026-08-12T14:21:27.620513Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.984389Z","title":"Dubrovin, Y","venue":null,"work_id":"6a36e507-c9e3-44ab-84a5-e6a7778c0cc0","year":2004},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.286907Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:c7271eb5b88e3214abdb42dc47105a5dce940c345681dcd95414206d46dc4e91","observation_id":"a14d090f-cd3e-44e7-b161-1a8bdf1a7e7e","resolution":{"observed_at":"2026-08-12T14:21:27.988593Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.972694Z","title":null,"venue":null,"work_id":"fdaefcbc-d8aa-4a32-9eeb-54ab00d86c75","year":2013},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.290386Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:aba5fabb946416f3b7537427ea750b5ee949cb64fd667ebb656db47c4f4c88c7","observation_id":"68414c94-5691-4216-995f-d92ede47354c","resolution":{"observed_at":"2026-08-12T14:21:27.976176Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.961700Z","title":"Feigin, L","venue":null,"work_id":"78b90b03-3dbb-4514-98fe-8f9c3e3eef04","year":2024},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.293565Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:fab3b68cb4d487798d1c62d1848ffb79d779db95243cb7d8749034554e3e216a","observation_id":"1ad8d89a-1134-431a-a49a-5d789f383a08","resolution":{"observed_at":"2026-08-12T14:21:27.965876Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.949659Z","title":"Getzler, The jet-space of a Frobenius manifold and hi gher-genus Gromov-Witten invariants, In: Frobenius manifolds, Aspects Math., E36, F riedr","venue":null,"work_id":"194c6345-0940-4aeb-a10d-74e0ff0ae850","year":2004},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.296970Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:87984043577f57595392e15556ec1163e37459f1134bdd25a03eddf0ecf85358","observation_id":"528735c8-e79a-4883-a2dc-58705ad92fdd","resolution":{"observed_at":"2026-08-12T14:21:27.954232Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.938482Z","title":"Getzler, The Toda conjecture, In: Symplectic geomet ry and mirror symmetry (Seoul, 2000), World Scientific, River Edge, NJ, 2001, pp","venue":null,"work_id":"8739fc5f-f729-4091-8fe1-256cb9503e1d","year":2000},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.300572Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:2e7ffffb8d5b8647a565b369b7641b8c239515172981695c895e7417a84e145a","observation_id":"89b66d23-ab74-4a69-94b9-b0053fc41863","resolution":{"observed_at":"2026-08-12T14:21:27.942301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.926365Z","title":"Givental, Gromov-Witten invariants and quantizati on of quadratic Hamiltonians, Mosc","venue":null,"work_id":"07fdfc4c-8d75-46d6-9312-8186ea4181df","year":2001},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.304285Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:3c94366c54f949127a9296952ca531e01868034e5bee52790acc922db38e6f91","observation_id":"a986c8ea-d2fb-4ffb-aac4-37cb64fe2e4e","resolution":{"observed_at":"2026-08-12T14:21:27.930218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.915925Z","title":"Givental, Semisimple Frobenius structures at highe r genus, Internat","venue":null,"work_id":"132054ac-cd4a-46a0-8d65-b5f3f45e8cf4","year":2001},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.307807Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:b43a1ccb41941583bd4321fdb1e3d3d2d4ddc060a41d4299de0a0cd11e92052a","observation_id":"816c08ec-3647-4505-a2c1-eafdc6f6bb61","resolution":{"observed_at":"2026-08-12T14:21:27.919352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.905749Z","title":"Givental, T","venue":null,"work_id":"e8a1e935-dd72-428e-bab9-7af34e46c089","year":2005},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.311301Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:c4378b1f6de3ef46b9553e2a16319b544252090dd3a99d6d8063c39519d7f4ed","observation_id":"171179d1-6664-4059-8485-ff60ca8e43e8","resolution":{"observed_at":"2026-08-12T14:21:27.909279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.895564Z","title":"Hern´ andez Iglesias, S","venue":null,"work_id":"9bfc1604-43fa-49b3-b677-9cb151cf25ce","year":2022},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.315287Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:cea0224d1b38f19fbb033ce90556c8b04407819fdd5260203cf45e17744b6bbe","observation_id":"e95fa6a0-6f8e-4521-aacc-1732a5431a22","resolution":{"observed_at":"2026-08-12T14:21:27.898998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.883842Z","title":"Hertling, Frobenius manifolds and moduli spaces for singularities","venue":null,"work_id":"80b8043c-bf46-4f9b-a197-7a79f3ae54ed","year":2002},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.320525Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:83f4ee2ef36c90662225c8e1d070bc0db74f88cc31e2a920dc17d32b7c74d309","observation_id":"b5b77551-395a-4174-882a-934c27cf68fd","resolution":{"observed_at":"2026-08-12T14:21:27.887250Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.870557Z","title":"Hertling, Yu","venue":null,"work_id":"acd1aef7-3f77-4076-ab18-7b5c95ccfeb2","year":1999},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.324075Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:8480f06d6c4d4bf6d08a5b764460e14e939e28b3dbcf69795df1d5bc07201c91","observation_id":"dbb55738-7f87-48ad-9ce5-2017a3f01f60","resolution":{"observed_at":"2026-08-12T14:21:27.874537Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.858955Z","title":"Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Comm","venue":null,"work_id":"a8e5fc13-bd38-40ec-ac60-bfa3556b7768","year":1992},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.327566Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:6a642cfc9b625bbb45b5578728f8e29d7621c405c6ad8810329049a605cd91a5","observation_id":"41ec3aa5-fe20-4806-b30d-f74b92c605e1","resolution":{"observed_at":"2026-08-12T14:21:27.862674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.848117Z","title":"Kontsevich, Y","venue":null,"work_id":"6fabb89a-7b58-48d4-90b9-af8550f7d307","year":1994},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.331408Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:934501dd99e1aed61b249f15770d541c2f0c79acbc4583b86a4b0c1f01970f52","observation_id":"f5d164b4-7934-4f86-9219-12dd895bdee4","resolution":{"observed_at":"2026-08-12T14:21:27.852521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.837987Z","title":"Li, S.-Q","venue":null,"work_id":"4854ab0e-b49e-409a-a9f0-9eac0241ca2d","year":2022},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.335328Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:0c0007871116f334f3cf9d4a98c4db0fa9dba3fb803587622e6379e773625d7d","observation_id":"ef0f0d95-c864-45ed-81db-9ee02d70db6b","resolution":{"observed_at":"2026-08-12T14:21:27.841443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.827467Z","title":null,"venue":null,"work_id":"6b19743b-4770-4775-b699-e12a93206f1b","year":2024},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.339075Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:3ab20b50938bbfdcba0ac0ba550e1fdc64abb2c38c7b8462afb3042d427f9068","observation_id":"827c9ab7-60ae-4377-8139-cef5caf8b828","resolution":{"observed_at":"2026-08-12T14:21:27.831016Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.00483","last_updated":"2024-08-21T11:57:16Z","snapshot_observed_at":"2026-08-03T19:16:52.172883Z","submitted_at":"2022-09-01T14:13:02Z","title":"Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchies","version":3},"cited_work":{"arxiv_id":"2209.00483","doi":null,"metadata_source":"pith","pith_arxiv_id":"2209.00483","snapshot_observed_at":"2026-08-12T14:21:27.522731Z","title":"Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchies","venue":"math-ph","work_id":"65442cab-f1b4-44fc-9e17-1bfc3056c554","year":2022},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.342849Z"},"links":{"cited_paper":"/paper/2209.00483","citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:508672f08ff2928f262878f0af3e0e583b9a044d87896e240ae0d96adcda3a71","observation_id":"6e346e73-50a4-4547-8f81-5fa6934210d9","resolution":{"observed_at":"2026-08-12T14:21:27.528522Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.08895","last_updated":"2024-04-13T04:04:12Z","snapshot_observed_at":"2026-08-13T00:30:55.272894Z","submitted_at":"2024-04-13T04:04:12Z","title":"The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.08895","snapshot_observed_at":"2026-08-12T14:21:27.347269Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.347269Z"},"links":{"cited_paper":"/paper/2404.08895","citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:c096988a31970eb54c966f8ef38a168e2d102e2f735e3ceda77b04717ea6b554","observation_id":"b274af2f-6187-488e-a008-006e82a17de9","resolution":{"observed_at":"2026-08-12T14:21:27.347269Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.01846","last_updated":"2021-09-07T02:40:34Z","snapshot_observed_at":"2026-08-13T01:57:21.320122Z","submitted_at":"2021-09-04T11:37:10Z","title":"Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds","version":2},"cited_work":{"arxiv_id":"2109.01846","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.01846","snapshot_observed_at":"2026-08-12T14:21:27.486429Z","title":"Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds","venue":"math-ph","work_id":"cea0dd70-acdd-4bb2-a3f3-876ac5b0c8be","year":2021},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.351883Z"},"links":{"cited_paper":"/paper/2109.01846","citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:6f3c98befae2e81fdac5eb5acf3120034c380d92a5279240fe067ab56774ec58","observation_id":"7e98883d-c5a9-489b-83bd-c64b8e683bc9","resolution":{"observed_at":"2026-08-12T14:21:27.491042Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.817508Z","title":null,"venue":null,"work_id":"9cb9d77b-5585-4c06-a5a1-b0194944ad4a","year":2012},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.357462Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:1bad7b911aa460a4ede90a33b225c213cd7ecb9da51dd979bc12bad38aa85601","observation_id":"3e4a5d11-6067-4f0b-a1c6-1cd73149ffac","resolution":{"observed_at":"2026-08-12T14:21:27.820857Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.805106Z","title":null,"venue":null,"work_id":"abc09682-5c44-41b6-b7fc-668de0dbedb5","year":2022},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.361714Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:2c4cac467f59cbbd19fcb3a6ab0d90bf25acf1f75f1644142d07ccaa0c4ef95b","observation_id":"4e01dab5-2d85-40c2-bc46-0bf26a479d86","resolution":{"observed_at":"2026-08-12T14:21:27.809931Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.794198Z","title":null,"venue":null,"work_id":"b4ec8fcd-2d19-480b-9060-f672be6fbe5b","year":2021},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.367769Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:25b3f37242900603fd9d9dcd5aab759a4a8024884996e5256594dd6ca349fce7","observation_id":"70d0667e-5d86-4c08-a368-ec8d8f3ba8d6","resolution":{"observed_at":"2026-08-12T14:21:27.798001Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.783518Z","title":null,"venue":null,"work_id":"5dcdb9d0-df8e-4562-84ce-2cc559befd8a","year":2018},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.373530Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:f70434b370777aab6a8d838965bc55641850f919134bc7ec5f6e33e920a9de39","observation_id":"e33b1b33-d6a0-42c4-a4e8-bc45992a7ed4","resolution":{"observed_at":"2026-08-12T14:21:27.786954Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.771460Z","title":"Manin, F-manifolds with flat structure and Dubrovin ’s duality, Adv","venue":null,"work_id":"d9b05482-9d10-4371-9284-f0ee76598c9c","year":2005},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.377688Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:c89a9a1ceb2ab539231eb74b92bc07f5d22ef2f05445352ccfcb99eeb0a62a9b","observation_id":"5349c0c0-5843-4087-94af-1a8f9b99f88e","resolution":{"observed_at":"2026-08-12T14:21:27.775344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0609033","last_updated":"2006-09-12T05:26:15Z","snapshot_observed_at":"2026-07-07T06:16:46.203031Z","submitted_at":"2006-09-12T05:26:15Z","title":"On some algebraic examples of Frobenius manifolds","version":1},"cited_work":{"arxiv_id":"math-ph/0609033","doi":null,"metadata_source":"pith","pith_arxiv_id":"math-ph/0609033","snapshot_observed_at":"2026-08-12T14:21:27.464995Z","title":"On some algebraic examples of Frobenius manifolds","venue":"math-ph","work_id":"ec96bc0b-0c6a-4e86-ae97-0134a036f55b","year":2006},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.383698Z"},"links":{"cited_paper":"/paper/math-ph/0609033","citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:a4b2c2b9df58f0d989db6c4f975859f1053bd28c39b8c3108b4c31b2718f58bd","observation_id":"94a237de-2242-4e91-b469-84661fc16a3a","resolution":{"observed_at":"2026-08-12T14:21:27.471706Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.758577Z","title":"Romano, Frobenius structures on double Hurwitz spac es, Int","venue":null,"work_id":"a504c69b-21df-4b56-8997-403a5b0469e6","year":2015},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.388651Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:a9e0b62e79931329f36243b8feaff443a5cbde8478e41024729309ee7e2ba3e7","observation_id":"2a0b1630-cf0c-46eb-931d-84b451ff31e2","resolution":{"observed_at":"2026-08-12T14:21:27.762986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.743681Z","title":null,"venue":null,"work_id":"496ba72b-fa6f-4537-86bc-d0438ae7243a","year":1995},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.392810Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:18aa6584fdab07e1a8039ee8ef1a54b586672b0afbc485cfca606796eee96a36","observation_id":"a3e8f2ad-0822-4d47-999d-671717ff1345","resolution":{"observed_at":"2026-08-12T14:21:27.749223Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.725637Z","title":null,"venue":null,"work_id":"6af7b4e6-2a58-4fc3-a793-02e7a23e2158","year":2017},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.396724Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:848f047242594a00ab4f47f7df36445dce8269e5003052e8d0de76d67f79da18","observation_id":"78855b2d-3076-4db9-aa67-f4372dbbf967","resolution":{"observed_at":"2026-08-12T14:21:27.733621Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.712179Z","title":"Witten, On the structure of the topological phase of t wo-dimensional gravity, Nucl","venue":null,"work_id":"0232a76d-74a5-4d85-9bc3-6c633b747dc6","year":1990},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.401257Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:73d4ef0d6bdc7fa85a1871e73c7c049646e149dba40b84bdb125924123b071a3","observation_id":"8dc319c3-268a-4fac-bf57-b082ebf4946d","resolution":{"observed_at":"2026-08-12T14:21:27.716377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.696355Z","title":"Witten, Two-dimensional gravity and intersection t heory on moduli space, Surv","venue":null,"work_id":"ab72103f-63bd-42d6-99f1-98a313347680","year":1990},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.405565Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:119cdc5fae15b351cc478e25a0b9ead9e8e3515bfba795ea111bd7df798baab6","observation_id":"a529bd2a-26dd-4b8f-a1fb-59b50b3ab1ad","resolution":{"observed_at":"2026-08-12T14:21:27.700783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.681222Z","title":"Yang, Analytic theory of Legendre-type transformat ions for a Frobenius manifold, Comm","venue":null,"work_id":"7e8f48e8-444e-4146-ab1f-95795985c6c9","year":2024},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.410569Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:96053ba8bebf1ed67c2b3ef78be9551b48ec20f6b16cf69898555d8e50f79c4b","observation_id":"c3f8fec4-f6e9-4e17-8f49-41bc09000496","resolution":{"observed_at":"2026-08-12T14:21:27.686332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:21:27.663574Z","title":"Zhang, On the CP1 topological sigma model and the Toda lattice hierarchy, J","venue":null,"work_id":"48a9736c-c4c6-47b2-aa69-61dcec73bbc8","year":2002},"citing_paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-12T14:21:27.414695Z"},"links":{"citing_paper":"/paper/2411.15496"},"observation_digest":"sha256:826c9d1c3ee750fae8d2eb872cc089226a62af0bab71395b52e79f5c3eb2dfcb","observation_id":"04aba2b7-2e70-4521-a62f-b9240347fff9","resolution":{"observed_at":"2026-08-12T14:21:27.668744Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.15496","last_updated":"2024-11-23T09:00:35Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-12T14:11:27.275959Z","submitted_at":"2024-11-23T09:00:35Z","title":"Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies"},"reference_resolution":{"displayed":46,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":4,"verified_fuzzy":31},"total_outbound_references":46},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2411.15496."}