{"as_of":"2026-08-14T02:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9a6c49b3067652a96ef4230fe3d3ce5139a6a52a560872986941fea976658441","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T18:00:12.544969Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.17490/citation-record","integrity":"/paper/2607.17490/integrity","json":"/paper/2607.17490/citation-record.json","paper":"/paper/2607.17490"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.434280Z","title":"Bethuel, H","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.434280Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:a420bb7114578c69b27fbf9c016adc45cb674e46c54e742ffdaafc8af11e1c49","observation_id":"9da9815a-4076-40ab-8887-291111e704d2","resolution":{"observed_at":"2026-08-01T18:00:12.434280Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.439519Z","title":"Brezis, F","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.439519Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:f9fbb2c1a62dcaaefbb1060accb1c88654344d9a3ad6a84581dfd026b323d8a5","observation_id":"b39ee20d-88a7-4ef5-b689-48d21c41e9c1","resolution":{"observed_at":"2026-08-01T18:00:12.439519Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.444086Z","title":"Brezis,Symmetry in nonlinear PDE’s, inDifferential equations: La Pietra 1996 (Florence), pp","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.444086Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:229d32b982aa4650d1459245e632a2e372ad18c1fecf5067b5281f4180d59c2a","observation_id":"8ec4de43-ee6a-4a5d-8114-59c79ca13dc5","resolution":{"observed_at":"2026-08-01T18:00:12.444086Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.448850Z","title":"Brezis,Some of my favorite open problems, Rend","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.448850Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:8016bb6efca4002403ba3edeb229fd2b063751a8b67ed0b271351f6848dfbb04","observation_id":"747b2764-9b32-4597-ba61-4c2ff93a3c76","resolution":{"observed_at":"2026-08-01T18:00:12.448850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.454083Z","title":"del Pino, M","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.454083Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:175d42f3750569fd4f3dad5aff20d261a98129b21878edcc044fcb9189254028","observation_id":"9330affa-30c6-4abd-8410-b5a0d3791b21","resolution":{"observed_at":"2026-08-01T18:00:12.454083Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.458446Z","title":"del Pino, R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.458446Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:c29511b5264192fc5eeafa74b2fcc8f95fab3bc767c541894d53ef3f2572e012","observation_id":"e7167188-b601-4a92-b60c-ff89fc7f5813","resolution":{"observed_at":"2026-08-01T18:00:12.458446Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.463403Z","title":"Dong and B","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.463403Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:d55acf860ab2053a3211248a1ffd18c62db095e49ffd7a2a1d6654d330b221e2","observation_id":"5980f92a-6084-4e52-add3-10863fdc2450","resolution":{"observed_at":"2026-08-01T18:00:12.463403Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.467977Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.467977Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:48385a15bd07cadc6cff6d2de7a473e55a22700efcd3db46b60edc0e19519e96","observation_id":"61f9bf48-9049-4b0d-a800-257b8f67357b","resolution":{"observed_at":"2026-08-01T18:00:12.467977Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.471931Z","title":"Farina,On the classification of entire local minimizers of the Ginzburg–Landau equation, inRecent trends in nonlinear partial differential equations","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.471931Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:130e3fc65027bfd1a9d650e4d6e1f00977dce7c3d567d8a7c10bfbc4f71d0f8d","observation_id":"9ad31ff9-62c9-4dba-ab4b-4fa0a6b87eee","resolution":{"observed_at":"2026-08-01T18:00:12.471931Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.476010Z","title":"Farina,A Liouville property for Ginzburg–Landau systems, Anal","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.476010Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:a0061285bb92cb6a950eb7e92d072fa9f6fd97dbd85e5829b1fce7cf79e39c38","observation_id":"d369567b-90e7-4829-b2fb-12f84de9e7bf","resolution":{"observed_at":"2026-08-01T18:00:12.476010Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.479983Z","title":"Farina,Two results on entire solutions of Ginzburg–Landau system in higher dimensions, J","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.479983Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:ba55b274cf37e060d9040ad4ca0c1e5c8207e21293465beed5bffcd67009f1e6","observation_id":"f6b67636-db16-40dc-8193-a7680dc045a0","resolution":{"observed_at":"2026-08-01T18:00:12.479983Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.484086Z","title":"Gilbarg and N","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.484086Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:439136b0af5f8be44b59cba8adc50ed7fd7d8f785ff2729120f59b3442049701","observation_id":"9c3d95e0-92f7-4b3d-af8c-2f4b89e44839","resolution":{"observed_at":"2026-08-01T18:00:12.484086Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.488548Z","title":"Ignat, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.488548Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:64438cc036b90ded7591a9108073582480da3361c188d14ec8c1a674d35e8971","observation_id":"12f6eed4-72a8-4e68-b5ac-0fa0080434cc","resolution":{"observed_at":"2026-08-01T18:00:12.488548Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.493462Z","title":"Ignat, L","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.493462Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:5128b75a8c6e61ccb0193e9ce5b898600535638f92efe1a0e30db559bec420c3","observation_id":"51d365ed-c860-4eda-9488-a53fff3e399b","resolution":{"observed_at":"2026-08-01T18:00:12.493462Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.497868Z","title":"Ignat, L","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.497868Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:7f5a4cf650f4b7cea0dd60f929956c055c2f56754565ccc418137934feaa00f7","observation_id":"eebb3875-300d-4875-890b-752ae0f52ad1","resolution":{"observed_at":"2026-08-01T18:00:12.497868Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.04615","last_updated":"2026-06-03T08:52:00Z","snapshot_observed_at":"2026-08-06T13:37:50.140978Z","submitted_at":"2026-06-03T08:52:00Z","title":"The Ginzburg-Landau system with general potential: maximum principle and gradient estimates","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.04615","snapshot_observed_at":"2026-08-01T18:00:12.502013Z","title":"Ignat, L","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.502013Z"},"links":{"cited_paper":"/paper/2606.04615","citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:4be820e7b23998279598656c4575e0c2d00018d3226a265a36cd5366860e249d","observation_id":"3462dc16-f37d-4a31-9f15-f533f2956ca9","resolution":{"observed_at":"2026-08-01T18:00:12.502013Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.506630Z","title":"Liu, J.C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.506630Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:70fbbabb119ff00140e9f30b5cb721e11b80c628d139eb17f3e6303a89f7f06c","observation_id":"1a8950f3-d487-4a20-8fb4-05815c98ec7f","resolution":{"observed_at":"2026-08-01T18:00:12.506630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.510650Z","title":"Mironescu,Les minimiseurs locaux pour l’ ´equation de Ginzburg–Landau sont `a sym´etrie radiale, C","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.510650Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:ddb4ac556bea8fcb35803ad2c57676480381b49e1ddad66af905a6161e91d21a","observation_id":"70059300-f29f-47e0-84d1-67b0c032e2ee","resolution":{"observed_at":"2026-08-01T18:00:12.510650Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.514674Z","title":"Pacard and T","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.514674Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:3a2ac41635e3fd8db1c639d1bd711b1b361c7b970ea3d3e8c9a7a54fc3b36cb7","observation_id":"be150187-1fa6-4a22-ae83-a49f4e849a7a","resolution":{"observed_at":"2026-08-01T18:00:12.514674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.518780Z","title":"Sandier and S","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.518780Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:617f259e050ad8e5e54b1bf4e733790294ed4c4d5741df72fc2a87274b4aee6c","observation_id":"1fad14fc-dc60-428c-ab19-430ca619f550","resolution":{"observed_at":"2026-08-01T18:00:12.518780Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.523522Z","title":"Sandier,Locally minimising solutions of −∆u=u(1−|u| 2) in R2, Proc","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.523522Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:52fe4dd44cf853a5254b5f0c314bdb1736b2d89a47f7e9fce5aef4646dfafd6b","observation_id":"85362945-6295-43e7-9b05-a84d9a805c2f","resolution":{"observed_at":"2026-08-01T18:00:12.523522Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.527794Z","title":"Serrin,Isolated singularities of solutions of quasi-linear equations, Acta Math.113(1965), 219–240","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.527794Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:ad7b9c2289e8d3f49fce6956b85d0e06423a60a499f81910a4be7a7da59874d1","observation_id":"539086ce-6e8d-4561-b833-e01d299c2172","resolution":{"observed_at":"2026-08-01T18:00:12.527794Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.532228Z","title":"Shafrir,Remarks on solutions of −∆u= (1− |u|2)u in R2, C","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.532228Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:2e172a2e3d9ba025c534f84f2d9b292de46bf201dd44fadb2355f3d25a914f93","observation_id":"3eee278c-8521-46e8-b9ec-b2fc08ad0304","resolution":{"observed_at":"2026-08-01T18:00:12.532228Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.536545Z","title":"Shiffman,On the existence of subsonic flows of a compressible fluid, J","venue":null,"work_id":null,"year":1952},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.536545Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:708e135f877eb55958240ca540fab32b57af4de881900a1e376e051f410d8757","observation_id":"d844c34d-9017-4d3d-949e-ba1750354a03","resolution":{"observed_at":"2026-08-01T18:00:12.536545Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.540806Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.540806Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:9311144fc19fc41f3871b7244208f466112ea7c8336c036bdd9f517c224bee36","observation_id":"5e3d54fb-f70e-42de-9905-71dab066c9bc","resolution":{"observed_at":"2026-08-01T18:00:12.540806Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:00:12.544969Z","title":"Smyrnelis,Gradient estimates for semilinear elliptic systems and other related results, Proc","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T18:00:12.544969Z"},"links":{"citing_paper":"/paper/2607.17490"},"observation_digest":"sha256:826c7600edd45f159fc3ad47385860f8991e8e603564c5ceb8111c705836e0ad","observation_id":"c1990757-1784-476a-9999-216c87f834bc","resolution":{"observed_at":"2026-08-01T18:00:12.544969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.17490","last_updated":"2026-07-21T01:47:03Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-13T16:49:51.433873Z","submitted_at":"2026-07-20T02:32:20Z","title":"Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":26,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":26},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.17490."}