{"as_of":"2026-08-15T05:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c14e3120f48b6f9a740c5d80b32df9b3f3f1d7efa03dac9988a9603f672390e0","coverage":[{"denominator":77,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":77,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T06:18:33.989131Z","state":"measured"},{"denominator":78,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":78,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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":"2026-08-14T04:58:37.618784Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-14T04:58:38.140026Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"cited_work":{"arxiv_id":"1909.00447","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.00447","snapshot_observed_at":"2026-08-14T04:58:38.140026Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","venue":"math.DG","work_id":"4c872b49-4dbe-44d0-b969-11572f19a5b7","year":2019},"citing_paper":{"arxiv_id":"1909.02469","last_updated":"2019-09-05T14:59:12Z","snapshot_observed_at":"2026-08-14T15:10:56.658298Z","submitted_at":"2019-09-05T14:59:12Z","title":"Complex Hessian equations with prescribed singularity on compact K\\\"ahler manifolds","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T04:58:37.618784Z"},"links":{"cited_paper":"/paper/1909.00447","citing_paper":"/paper/1909.02469"},"observation_digest":"sha256:648da4519c7d46c2c4c5470eaccc706df99c921151ad8eed7fadb5e0f146c7e8","observation_id":"95b19a4d-9c72-48cf-8a0f-351940e24f24","resolution":{"observed_at":"2026-08-14T04:58:38.143859Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1909.00447/citation-record","integrity":"/paper/1909.00447/integrity","json":"/paper/1909.00447/citation-record.json","paper":"/paper/1909.00447"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.391776Z","title":"Ball, Diﬀerentiability properties of symmetric and isotropic fun ctions, Duke Math","venue":null,"work_id":"ef26d391-8403-4c2a-9704-ad208924489c","year":1984},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.596608Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:f3657b87bb730d460847eb9bb1b9efc02482b3ee7a919bbaab0aeedce37f57ce","observation_id":"690de634-6e64-413a-b84b-a42d53ae89fb","resolution":{"observed_at":"2026-08-14T06:18:37.406531Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:32.654190Z","title":"Bedford and B.A","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.654190Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:d749780520785ebc5d6783ad0f24a7e40adb30eedde53b09140105c52937c59d","observation_id":"2b61c3dc-5c41-4f78-8e05-ea36f1151356","resolution":{"observed_at":"2026-08-14T06:18:32.654190Z","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":"2026-08-14T06:18:37.323678Z","title":"Blocki, Weak solutions to the complex Hessian equation , Ann","venue":null,"work_id":"cd6c2e69-ec99-44fa-986c-e97d9502906c","year":2005},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.705670Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:f219d6dc9075cf12dff6aca789a4a883a7f1805364a437fdc3d886019337b692","observation_id":"30fa44ba-757d-4e79-818e-7feb7c01ce5c","resolution":{"observed_at":"2026-08-14T06:18:37.349020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.297144Z","title":"Boucksom, Monge-Ampere equations on complex manifolds with boundary , in Com- plex Monge-Ampere Equations and Geodesics in the Space of Ka hler Metrics, V","venue":null,"work_id":"9c2e74c9-86bb-4abe-924a-5522e24ee9db","year":2012},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.809435Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:f0fa7847c4eced3992ac4da118b0b3a5907cdab86df052e35d5ada74aa637028","observation_id":"e9a0e284-70fe-473e-93bf-faf19001e413","resolution":{"observed_at":"2026-08-14T06:18:37.301354Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.284967Z","title":"Caﬀarelli, Interior a priori estimates for solutions of fully nonlinea r equations , Ann","venue":null,"work_id":"5970dfad-6592-4ea6-9cb2-c7bd03c54d1f","year":1989},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.908348Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:e7e21b7c1989e2ef7b6e578b7f14fd43677dcfb242f449dadfc17fe3cfa3c4cf","observation_id":"ef351365-b95a-4573-8db7-4b48de8dfa29","resolution":{"observed_at":"2026-08-14T06:18:37.288847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.273499Z","title":"Caﬀarelli, L","venue":null,"work_id":"b714dc0f-0448-40d9-a085-440dca37209e","year":1984},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.922216Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:f6213b572a2a42d506718faa3fa3ddd9c370b7d2b33274b7a880adaa6e1db836","observation_id":"f8c16b11-d5a8-4584-ae6d-b44697503bc0","resolution":{"observed_at":"2026-08-14T06:18:37.276854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.262046Z","title":"Caﬀarelli, J","venue":null,"work_id":"8d1bdb43-30af-4039-9047-2749d8b047f3","year":1985},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.928860Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:2f441009d8556693fb5d07de85464c85329f396fe96108dbb6357a636e564118","observation_id":"04a65079-6260-4682-a806-a511a918c74e","resolution":{"observed_at":"2026-08-14T06:18:37.266199Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.248992Z","title":"Caﬀarelli, L","venue":null,"work_id":"47cf2541-0d3a-4cdc-8e5a-363e8c8a70d9","year":1985},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.933397Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:769f92b0f238da13fd8e71e36f3499c65aace2bce404ae5724093d7fbfa54413","observation_id":"2e84dac1-5f34-4583-a42f-0d5bba354b30","resolution":{"observed_at":"2026-08-14T06:18:37.254492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.235068Z","title":"Cheng and S.-T","venue":null,"work_id":"f4d2041d-b3e3-4ba8-a03a-0a2dac8913c3","year":1977},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.941249Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:86ce52bcd2f1262212698960c5b89873d60647aa1cbcb29e109c3727bb9dbd42","observation_id":"52112065-dfc0-4f2f-9ac0-774302e8ff5d","resolution":{"observed_at":"2026-08-14T06:18:37.240457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.221226Z","title":"Cheng and S.-T","venue":null,"work_id":"f2096754-c0cf-49bb-9423-8196376c1008","year":1980},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.949444Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:919d8657bee707d485bfa524f6123a6e3293265c027dae4aafa7790f090c7039","observation_id":"39a0c6d3-e1e4-4302-ba48-c6ff15592cea","resolution":{"observed_at":"2026-08-14T06:18:37.225660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.208347Z","title":"Cherrier and A","venue":null,"work_id":"73ef52dd-516e-43ad-bdcb-171ad42fe40b","year":1999},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.953696Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:24637b6aeeb45e1883c3830306129457d32ba57c227575b0e5710e5ce2f355a1","observation_id":"aed850a7-2f82-4f92-ba6e-1acdf0693010","resolution":{"observed_at":"2026-08-14T06:18:37.212654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.140589Z","title":null,"venue":null,"work_id":"196b3c88-1837-4f11-b8d0-7fe33a84b5c2","year":2019},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.958112Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:2b5b7a307bc0166c11a55a373e2e86294b5bb77be9ad4e82f297699f2cdf2d2e","observation_id":"eb7ca33d-ca1b-48bf-8a10-1de473c5a34a","resolution":{"observed_at":"2026-08-14T06:18:37.185614Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1508.01934","last_updated":"2015-08-08T18:01:02Z","snapshot_observed_at":"2026-08-14T22:37:13.812955Z","submitted_at":"2015-08-08T18:01:02Z","title":"(1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions","version":1},"cited_work":{"arxiv_id":"1508.01934","doi":null,"metadata_source":"pith","pith_arxiv_id":"1508.01934","snapshot_observed_at":"2026-08-14T06:18:34.160897Z","title":"(1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions","venue":"math.DG","work_id":"73ae519a-c277-4380-a4b2-0f4d39cf1a16","year":2015},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.963604Z"},"links":{"cited_paper":"/paper/1508.01934","citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:81643bb548118d9fe2cf33cd8f7143cbcdfedfb67caa880b0d079b3e4a8179fe","observation_id":"2a60cced-15b4-4fd5-a9d7-da73f674ba98","resolution":{"observed_at":"2026-08-14T06:18:34.227449Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:37.030202Z","title":null,"venue":null,"work_id":"73f26ab0-5c39-4682-a74e-f891901e8bd9","year":2017},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.971535Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:f2d53675d617898236af1b828e3b241283bf9d5154fb7dcdf17f29961edd298c","observation_id":"8eb98c9c-6e62-436d-abff-8a17b7aa019e","resolution":{"observed_at":"2026-08-14T06:18:37.076413Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.04824","last_updated":"2018-11-13T17:53:52Z","snapshot_observed_at":"2026-08-14T18:00:34.287780Z","submitted_at":"2018-11-12T16:08:11Z","title":"Moment maps, nonlinear PDE, and stability in mirror symmetry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.04824","snapshot_observed_at":"2026-08-14T06:18:32.976475Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.976475Z"},"links":{"cited_paper":"/paper/1811.04824","citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:44426ded7d4cbc5c092bac59cc9d0d28511fa07b4bd86684e05243fffb28b1f7","observation_id":"3ba9f8c4-90aa-4ccd-9426-b627fa63a22f","resolution":{"observed_at":"2026-08-14T06:18:32.976475Z","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":"2026-08-14T06:18:36.961908Z","title":"Chen and L.-C","venue":null,"work_id":"c9db960c-c80d-406f-a509-d50765f8db91","year":null},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.982708Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:4ff6782e8b74df4162e1e36d99b539763d6331dfb95b029d74754e19a322992a","observation_id":"09e0b4e5-1313-4705-95b4-93b18bff9dff","resolution":{"observed_at":"2026-08-14T06:18:36.967315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.936747Z","title":"Demailly, Complex Analytic and Diﬀerential Geometry , Open Content Book","venue":null,"work_id":"23bee59f-bd6d-4734-8e05-c91a6ecde00e","year":null},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.992391Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:24b48ce44c2712ba9492b8db314d696f6b3d596715b93d726cac02c7b3da33c9","observation_id":"fefe1273-fc98-4489-8ec0-522af3d1d2bb","resolution":{"observed_at":"2026-08-14T06:18:36.940734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.920764Z","title":"Dinew and S","venue":null,"work_id":"3ffcd8dd-b468-417b-9a0e-0151b69836fa","year":2014},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.997216Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:1332eed65c29f7d006a8ff9be2f14836d0f24711a93a773dc2efeace28bc6ab9","observation_id":"54bdd3f7-78b8-44b7-9a56-6d4298c71ca8","resolution":{"observed_at":"2026-08-14T06:18:36.927602Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.905063Z","title":"Dinew and S","venue":null,"work_id":"afa9e4ac-a37d-44d5-8fe9-55ff90347a3e","year":2017},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.001853Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:c43dedc6b2166d88b713093a77ca91141d45726e3a00c040d42211697dec536d","observation_id":"da8434d2-0704-405d-8864-5b8dc13e7b2c","resolution":{"observed_at":"2026-08-14T06:18:36.911760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.887831Z","title":"Dinew and C.H","venue":null,"work_id":"2977840f-0305-46c7-b61c-ddcacdf055ab","year":2015},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.006141Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:c902ed11423373641a2417862e61cceeca8ee220254a2e76a0cb88083d0483d2","observation_id":"2a387e9c-72b3-423f-9c31-371460b6132f","resolution":{"observed_at":"2026-08-14T06:18:36.891971Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.844621Z","title":"Dinew, S","venue":null,"work_id":"7ca13bd6-e381-4f2d-9c7b-8ce7d202e1c6","year":2019},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.011872Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:60f0ab5c2a72a3632dd7b42fe36fa4182c28406fd660fd11ec705cbe2e0b85e1","observation_id":"6169db26-da1d-45cf-8bb6-adac7d13c04e","resolution":{"observed_at":"2026-08-14T06:18:36.869424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.03599","last_updated":"2019-08-26T15:57:44Z","snapshot_observed_at":"2026-08-15T01:24:11.059874Z","submitted_at":"2019-08-09T19:06:03Z","title":"Second order estimates for complex Hessian equations on Hermitian manifolds","version":2},"cited_work":{"arxiv_id":"1908.03599","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.03599","snapshot_observed_at":"2026-08-14T06:18:34.085662Z","title":"Second order estimates for complex Hessian equations on Hermitian manifolds","venue":"math.AP","work_id":"6957c802-842e-46f0-b408-c24e9c826ba4","year":2019},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.017201Z"},"links":{"cited_paper":"/paper/1908.03599","citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:3a853bfe5054d130200521b7f5c938276c0bcd3bfe1127bf7a736dc15f488c5c","observation_id":"294c4175-df2e-4b82-8db8-487099a0be12","resolution":{"observed_at":"2026-08-14T06:18:34.092452Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.825357Z","title":null,"venue":null,"work_id":"7b75b1c7-e476-4be8-a878-619126b9928e","year":1982},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.023051Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:df8153a3c08e944c58bb3f8ec876a0e0ae0bdcaa8a22b548f3ad1fcce455076e","observation_id":"101bf4fc-7669-4058-a82c-075486eb61ca","resolution":{"observed_at":"2026-08-14T06:18:36.828895Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.02412","last_updated":"2020-02-16T16:02:10Z","snapshot_observed_at":"2026-08-14T16:36:15.512116Z","submitted_at":"2019-05-07T08:52:19Z","title":"The Dirichlet Problem of Fully Nonlinear Equations on Hermitian Manifolds","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.02412","snapshot_observed_at":"2026-08-14T06:18:33.148963Z","title":null,"venue":null,"work_id":null,"year":1905},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.148963Z"},"links":{"cited_paper":"/paper/1905.02412","citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:978f6c6fc1ee45082e4850886f8243876ed3051e926d4f60c6debd49d72db82b","observation_id":"7e964640-7531-4b43-9d85-4894fa2329ff","resolution":{"observed_at":"2026-08-14T06:18:33.148963Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1901.10322","last_updated":"2021-09-06T16:36:58Z","snapshot_observed_at":"2026-08-15T02:17:08.713117Z","submitted_at":"2019-01-29T14:51:39Z","title":"Solutions to the Hull-Strominger system with torus symmetry","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.10322","snapshot_observed_at":"2026-08-14T06:18:33.211897Z","title":null,"venue":null,"work_id":null,"year":1901},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.211897Z"},"links":{"cited_paper":"/paper/1901.10322","citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:103fa20c216ffbb469759aad904e972ea5436a5481fa57e30dedd361c4a8180c","observation_id":"48a9f703-3056-406e-8a67-d5ddf7c3d5e4","resolution":{"observed_at":"2026-08-14T06:18:33.211897Z","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":"2026-08-14T06:18:36.767941Z","title":"Fu and S.-T","venue":null,"work_id":"7941bfd9-64d3-42f0-af60-1c3e40811dc3","year":2008},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.216928Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:0630ae035e58ae2a1238a28c4c7b0eeae7f58c14998dc3a3c5f1d055c3b4f529","observation_id":"d0396361-3569-4a42-ac52-7d57592bb70e","resolution":{"observed_at":"2026-08-14T06:18:36.816552Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.665245Z","title":"G ˚ arding,An inequality for hyperbolic polynomials , J","venue":null,"work_id":"873303a1-e2b6-403a-90a8-a34100d9fa47","year":1959},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.222540Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:1659b95908667bf4bdd8bb159a9c5f11c6b96f7fd52edac99b707ce6e0165baa","observation_id":"62251f0d-904b-4653-8552-6d28f25dd113","resolution":{"observed_at":"2026-08-14T06:18:36.711486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.535788Z","title":"Gilbarg and N","venue":null,"work_id":"15e9f29c-c4b2-4b6d-8136-8bb787587ef9","year":1998},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.227430Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:39fd433e4cc888bb5f4ae0c3e182c692670866becae4e4b4be007a1adaa14225","observation_id":"4648831c-cbc2-4e58-9985-39bb28dc3b06","resolution":{"observed_at":"2026-08-14T06:18:36.580257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.520088Z","title":"Gu and N.-C","venue":null,"work_id":"c3d0d529-a9cb-4892-b05c-1ff094ad0cae","year":2018},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.231866Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:513d4c18977407bb7e2453609824fcb2e2884137633f7ca1e5e3d2eb5007b30c","observation_id":"0a26ebbf-7b9f-48c1-8d47-43b35359a2c7","resolution":{"observed_at":"2026-08-14T06:18:36.524615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.504932Z","title":"Guan, The Dirichlet problem for a class of fully nonlinear ellipti c equations, Comm","venue":null,"work_id":"672581ad-13d9-4781-bed3-32c4f9ffa25a","year":1994},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.235999Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:f60115a75cf86ad947c8cbb1fc69c7296d04eea6af31089370258acb33055737","observation_id":"4de697fe-c074-4561-af11-1f6ea4a3f2a2","resolution":{"observed_at":"2026-08-14T06:18:36.510657Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.482515Z","title":"Guan, The Dirichlet problem for complex MongeAmpere equations an d regularity of the pluri-complex Green function , Comm","venue":null,"work_id":"363996f3-2de9-4d78-80e6-2b2e3a7570fa","year":1998},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.239606Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:14fdeaaead04294ae627415244eb0ec6e83a3ad54bd8e4ab3c53061f3de361cf","observation_id":"c5110cf9-9a32-48a7-948c-ccdfacd8502a","resolution":{"observed_at":"2026-08-14T06:18:36.487230Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.470542Z","title":"Guan, Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds , Duke Mathematical Journal 163(8) (2014), 1491-1524","venue":null,"work_id":"338971d9-2336-492d-950d-d68c1df258b5","year":2014},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.243878Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:045d9000f4417103ec1161d08248db74008bc1185ff1817b078bc409f405f88e","observation_id":"91b62393-d417-4db8-bb75-242f0062e632","resolution":{"observed_at":"2026-08-14T06:18:36.475046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.457893Z","title":"Guan and Q","venue":null,"work_id":"c703cf35-5a7e-42d7-9a05-f5f836cb82a8","year":2010},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.247983Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:fd6f7f207560780cbd5981e5ca2eb64227c6f7f8a57af12b6b56ebe3d8afa742","observation_id":"a8e275c4-00f6-4c51-84ad-c6064e9fe263","resolution":{"observed_at":"2026-08-14T06:18:36.461958Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.442870Z","title":"Guan and Q","venue":null,"work_id":"00eaa8c0-4a40-4b4b-9fe9-b33ad1fa8bfa","year":2013},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.299257Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:7116ff147ecfaa8e532df7ae4531da9ae13cda333b6363a4bbeb81a1e50bf8f9","observation_id":"e80195d3-ba01-4713-bfd4-f360e839f7c5","resolution":{"observed_at":"2026-08-14T06:18:36.448947Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.355495Z","title":"Guan and J","venue":null,"work_id":"218c4a7e-adc6-4b70-9d91-a7f756157fc8","year":1993},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.389655Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:fa0fa4e8719557ebf32487bfd45e76b687f779832c890d84f36caaf5ffe03063","observation_id":"e0f02799-3e46-4a56-b6b4-6697fe89d343","resolution":{"observed_at":"2026-08-14T06:18:36.430968Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.224659Z","title":"Guan and J","venue":null,"work_id":"09bd059b-523c-4ace-9004-aab08495d569","year":2010},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.472979Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:bfa863a87ded16e6e7dcce0727b1faf3fa13538b7fcc7f29d3c8e60c3fb5a9bd","observation_id":"107acfbb-2669-43c7-b0d8-c889a7ca88da","resolution":{"observed_at":"2026-08-14T06:18:36.306177Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.212617Z","title":"Guan and W","venue":null,"work_id":"c5d8bd67-d674-406a-9aca-5de056f03e8a","year":2015},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.486383Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:3fcbc78be91362d55df9c870cae0afc9f1c8d3ae55e154d8e1794701505219c0","observation_id":"dce51349-32c6-4376-8daa-15136e4f2e0b","resolution":{"observed_at":"2026-08-14T06:18:36.216966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.201016Z","title":"Guan, Extremal functions related to intrinsic norms , Annals of Math","venue":null,"work_id":"9f38bcb8-9c8d-4fec-ad48-d889ce108ab2","year":2002},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.489979Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:d075d5c50094d5b4f7c38c8168ba2d5cb9d30ec59c2d9c720c2a2179b4fa8a4c","observation_id":"30725e80-e10b-4eed-a611-162711f023d8","resolution":{"observed_at":"2026-08-14T06:18:36.205104Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.188484Z","title":"Guan and X","venue":null,"work_id":"8735e0d0-2730-4034-9f09-38f526b5972b","year":2012},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.494547Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:c64d0f6a1a27bf5e9ca4dc3824aae76622b336193c83e11206df462979ea54eb","observation_id":"b3d053f0-6717-410d-853a-b375a08a2dc2","resolution":{"observed_at":"2026-08-14T06:18:36.192735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.175547Z","title":null,"venue":null,"work_id":"05422403-25cb-482e-9326-b3f1039ffd3f","year":2011},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.498969Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:600926ff3b3d002007b13cad9c6aa6610ed69e08e6283f7a232dec0c15772c81","observation_id":"5fc9ed80-5922-40f4-9b80-789b22af081d","resolution":{"observed_at":"2026-08-14T06:18:36.179004Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.160800Z","title":"Horn, Doubly stochastic matrices and the diagonal of a rotation ma trix, Amer","venue":null,"work_id":"eca5d4ec-24bc-496a-9ea0-9170c3a9fe30","year":1954},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.502674Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:98c795e897a70b97d706a6672a54cc157ff8de0a1ab12e1fb4e60abcff66aec2","observation_id":"5306da9a-6997-425a-b7f7-a235e6669b62","resolution":{"observed_at":"2026-08-14T06:18:36.167856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.136773Z","title":"Hou, Complex Hessian equation on Kahler manfold , Int","venue":null,"work_id":"f7b6e34a-5aef-4511-9cc6-06f83be2a68d","year":2009},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.506786Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:1da9321abfd788fd56f3d5a258ea4d697be6b459cbc8d56b91b14e8003a57e94","observation_id":"10804908-d752-43dd-bf0b-2d88db0cd6b3","resolution":{"observed_at":"2026-08-14T06:18:36.145460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.121916Z","title":"Hou, X.-N","venue":null,"work_id":"be16ed12-6dfb-4618-8a29-1c37bb53189a","year":2010},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.525739Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:4724257466dc9d41ca71116645dbd5af83f35cc9173093a4a8216b41ea701af4","observation_id":"303fdfab-5494-4ed6-824a-3c9fb93dcded","resolution":{"observed_at":"2026-08-14T06:18:36.128898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:36.045268Z","title":null,"venue":null,"work_id":"301214a0-259e-4f2c-8044-599290dcfc3e","year":1980},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.584520Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:91a65586846624acc4da72a1657c334901be63dd123c13e70d0de864d6cb2a76","observation_id":"13a3376e-e688-4962-a084-1a8c5d7d96e9","resolution":{"observed_at":"2026-08-14T06:18:36.090572Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.907788Z","title":"Ivochkina, Classical solvability of the Dirichlet problem for the Mong e-Ampere equation, Zap","venue":null,"work_id":"df4f71fc-d67c-483c-b900-5e72b52a1b53","year":1983},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.630606Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:4d81d95c0ba9f5d655c3ebfae6027d453e1489df21a46cd95d9673dbe308e688","observation_id":"2ccf0878-29e1-41dc-9503-488ed316e0fb","resolution":{"observed_at":"2026-08-14T06:18:35.983472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.861999Z","title":"Jbilou, Equations hessiennes complexes sur des varietes kahlerien nes compactes, C","venue":null,"work_id":"b6c14f31-3ebe-4448-8970-3f836a5ae552","year":2010},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.676404Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:c00da2b5ee2c5e9353ad77e69456279315aac283c3299ff607a6182c3124fdae","observation_id":"2589f6ba-4508-4aff-9bbf-23405c65fe5b","resolution":{"observed_at":"2026-08-14T06:18:35.867053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.850145Z","title":"Kokarev, Mixed volume forms and a complex equation of Monge-Ampere ty pe on Kahler mamanifolds of positive curvature , Izv","venue":null,"work_id":"2a410dbd-0752-4ff4-92a7-937762cea84a","year":2010},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.701906Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:efd6b5a3f1718965b757375d7c997b8ea90bc24306119055f053f79ca96d138c","observation_id":"8bbeba5c-ef61-40ca-9945-9af67e30eb93","resolution":{"observed_at":"2026-08-14T06:18:35.854102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.838351Z","title":"Ko/suppress lodziej and N.C","venue":null,"work_id":"6189b7fd-4d75-4148-8687-732e13912d05","year":2016},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.706983Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:ed54857acf6033cc4a4f42db53c9f9d14299c92d15a776f10b3af64fdbabf5c3","observation_id":"4a5efde4-bea1-4f72-8516-0eb49b7e90fc","resolution":{"observed_at":"2026-08-14T06:18:35.842828Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.826181Z","title":null,"venue":null,"work_id":"376a9274-ebf5-4267-8818-2d7c098ada02","year":1982},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.711367Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:69ffabba714907bd34e40c9bc6302618ed21f794567b851f90b207916b0bed9d","observation_id":"91fedb76-949e-45f6-8aa3-fefb5b6ee1a4","resolution":{"observed_at":"2026-08-14T06:18:35.829963Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.815774Z","title":null,"venue":null,"work_id":"24726e78-4836-4089-b5e7-6118bbca1c36","year":1983},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.715936Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:f059d9891315dfbf5b62199fad8e27fa8cebd2e5ffb4073d41eed7f7a6bee6fe","observation_id":"896a1b0f-d9b9-448a-af3c-cfc9174da94e","resolution":{"observed_at":"2026-08-14T06:18:35.819361Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.802673Z","title":"Krylov, On degenerate nonlinear elliptic equations , Mat","venue":null,"work_id":"308e58b3-e014-40c3-8e95-31a562093a68","year":1983},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.720272Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:3f1f0361475d12db42098278c15d7cd00faa42b82dc372397f030fbcd2f7e87d","observation_id":"c53c89ea-6a59-4539-a369-7f002df09b69","resolution":{"observed_at":"2026-08-14T06:18:35.806730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.791030Z","title":"Li, On the Dirichlet problems for symmetric function equations of the eigenval- ues of the complex Hessian , Asian Journal of Mathematics 8 (2004), 087-106","venue":null,"work_id":"1dea6c32-4ce7-443b-96bb-20a3714f90dd","year":2004},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.725221Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:663481f448e0963c87983aeff054a1cc368bcc5ded2ce0cfeb1df25f5886fbc2","observation_id":"fd312057-a7a4-413b-8161-5c456114b3ed","resolution":{"observed_at":"2026-08-14T06:18:35.794629Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.764730Z","title":"Lu, Solutions to degenerate complex Hessian equations , J","venue":null,"work_id":"4f926839-bb18-4255-894f-a75880365db7","year":2013},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.730585Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:3e4ec4394c93542bf528ebb2883ac24380e13c3fa0c76fe713b9d6757324e4f8","observation_id":"8ced8a9c-9385-4d99-9a65-d2189c4da2eb","resolution":{"observed_at":"2026-08-14T06:18:35.781522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.622134Z","title":"Lu and V.-D","venue":null,"work_id":"0a3de772-5ad1-4d05-a838-8246bc197645","year":2015},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.735012Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:9177bfef08917b2abc4760d00d5825c2d501f2df654d931a5cacb64cf38a3315","observation_id":"bf35d36f-a54c-45d9-9910-a49a0128fe71","resolution":{"observed_at":"2026-08-14T06:18:35.694604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.441565Z","title":"Marcus, An eigenvalue inequality for product of normal matrices , Amer","venue":null,"work_id":"f23364dd-75f1-4ae9-b086-38229a7978f9","year":1956},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.738626Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:da81462ad8c1632f44f8e17edbd20111ae5888e73b360b5a881dcefa04989df3","observation_id":"b38575a2-a55b-48af-a994-a66487d0b328","resolution":{"observed_at":"2026-08-14T06:18:35.539362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.277129Z","title":"Nguyen, Subsolution theorem for the complex Hessian equation , Universitatis Iagellonicae","venue":null,"work_id":"8840e092-ed59-4607-9e66-ffb518bda439","year":null},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.742531Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:a759615dd2682be1a45f8d506c16acb569a07c0e5fae199bdc97b6bd01293d93","observation_id":"fae44687-b77c-47f4-b941-7c74311795f9","resolution":{"observed_at":"2026-08-14T06:18:35.375785Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.265868Z","title":"Phong, S","venue":null,"work_id":"43466216-d7a9-492d-af90-096d734f3ada","year":2016},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.747466Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:5eefea6fc5396a8dda1a7a5f827bb252bbea75d229096d6f3ac86db1b5df94c9","observation_id":"7bd114fc-1292-4794-96b6-c724cd36889c","resolution":{"observed_at":"2026-08-14T06:18:35.269497Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.252593Z","title":"Phong, S","venue":null,"work_id":"2539189a-78e0-458d-bf97-aa3eb8261cbc","year":2017},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.751733Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:5c3643d61d57f37e38ec97b1189694d8910604de90f7522e6b17ce9fbbce6d80","observation_id":"0765af8a-b3d2-499c-9ce3-51250c82efa5","resolution":{"observed_at":"2026-08-14T06:18:35.257865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.09842","last_updated":"2018-01-30T03:38:08Z","snapshot_observed_at":"2026-08-14T19:50:50.146870Z","submitted_at":"2018-01-30T03:38:08Z","title":"Fu-Yau Hessian Equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.09842","snapshot_observed_at":"2026-08-14T06:18:33.756048Z","title":"Phong, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.756048Z"},"links":{"cited_paper":"/paper/1801.09842","citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:e0055454eb15f8504c1314def2252383a65e600b0ceab997655f7b67293c6a47","observation_id":"11d4baf4-bbe9-4d5f-99f3-d6bacb66aa20","resolution":{"observed_at":"2026-08-14T06:18:33.756048Z","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":"2026-08-14T06:18:35.241217Z","title":"Phong, S","venue":null,"work_id":"83c41f70-5d85-46fa-929e-69b898816d78","year":2017},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.760828Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:9d274155991f069fc96bcfc1498101cc3669607f08179efdeea19dc9a2bf1098","observation_id":"88cca366-254a-41d2-b390-5a139b40352f","resolution":{"observed_at":"2026-08-14T06:18:35.244569Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:35.061188Z","title":"Phong, S","venue":null,"work_id":"efc7eefd-3787-48f6-adb0-607e0f470094","year":2018},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.796308Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:81d5ca29c0c6f057bd3b63126a1123809e3bd76ee1c6657231a3b4eaa21ada05","observation_id":"9dfb98d7-9448-4e71-9e75-5c1f2f2df411","resolution":{"observed_at":"2026-08-14T06:18:35.187280Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.10697","last_updated":"2017-12-14T08:56:39Z","snapshot_observed_at":"2026-08-14T20:09:01.958940Z","submitted_at":"2017-11-29T06:32:16Z","title":"Fully non-linear parabolic equations on compact Hermitian manifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.10697","snapshot_observed_at":"2026-08-14T06:18:33.855447Z","title":"Phong and D.T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.855447Z"},"links":{"cited_paper":"/paper/1711.10697","citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:43c5112a6ec027e3909c505dcdc55e6e29f372fd70af11c417691993ec140faf","observation_id":"24fac7cf-a740-4fdf-b601-902bdd299cff","resolution":{"observed_at":"2026-08-14T06:18:33.855447Z","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":"2026-08-14T06:18:34.979986Z","title":"Phong and J","venue":null,"work_id":"06474b64-eeff-461e-9601-d052f78e9a28","year":2010},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.890765Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:0070ef4ac7d08cad2a701b33a625c384df2a11b87d6846e5875e4f3b25155298","observation_id":"75254bc2-c005-4b41-b6b6-53e5cda8c647","resolution":{"observed_at":"2026-08-14T06:18:34.983820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1209.2203","last_updated":"2012-10-01T03:47:38Z","snapshot_observed_at":"2026-08-15T00:47:10.608705Z","submitted_at":"2012-09-11T02:26:02Z","title":"Complex Monge Ampere Equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1209.2203","snapshot_observed_at":"2026-08-14T06:18:33.939738Z","title":"Phong, J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.939738Z"},"links":{"cited_paper":"/paper/1209.2203","citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:2208b8d9c670d0d677dd0838e32b91487d58c865b8a3832b30bdacef091c3891","observation_id":"e6fc7d5a-b01a-4e7c-9c79-f158103c02a1","resolution":{"observed_at":"2026-08-14T06:18:33.939738Z","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":"2026-08-14T06:18:34.961782Z","title":"Silvestre, and B","venue":null,"work_id":"f6098acb-fdcc-4cf2-a19e-dc8c9350afea","year":2014},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.944043Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:f64d14033dd4c0c3d82ed8c2bfd011985660be4c07cdeb7675e04f6667925b05","observation_id":"f2522fc0-88b4-40e3-9e05-bffa982fadf6","resolution":{"observed_at":"2026-08-14T06:18:34.971931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.813528Z","title":"Spruck, Geometric aspects of the theory of fully nonlinear elliptic equations, Global theory of minimal surfaces, Amer","venue":null,"work_id":"269ef1bd-dccf-453d-9c52-67c390680d84","year":2005},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.948025Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:d8308af26e7885f6031a29d11880cdce9c282f945832af6a275be14e0e693469","observation_id":"56cf4e84-6b7e-45ff-85ea-ead9e11dbb11","resolution":{"observed_at":"2026-08-14T06:18:34.927856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.643391Z","title":"Sz´ ekelyhidi,Fully-nonlinear elliptic equations on compact Hermitian m anifolds, J","venue":null,"work_id":"ad6407e9-3d58-419c-bdc6-a3006eb5f2b5","year":2018},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.952054Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:4cb2d5e063b67f60da84e4db39a981ff7edd3f08949a2312fad8f5b7fa3012b9","observation_id":"459aa668-67f9-441c-ac43-8337b6207db7","resolution":{"observed_at":"2026-08-14T06:18:34.702144Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.524521Z","title":"Tosatti, Y","venue":null,"work_id":"b56b5e47-3771-4126-b9cf-3dda14f0ac1f","year":2015},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.956482Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:ccff1118bb7691ecc487d20b0308c1e2369379a6d54752b8bc034800d096df90","observation_id":"2c63deb3-b1fd-4c83-9fab-40433ed2cd4a","resolution":{"observed_at":"2026-08-14T06:18:34.528523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.511436Z","title":"Tosatti and B","venue":null,"work_id":"fb8f1576-0a83-4cb6-9954-6990765e40fd","year":2010},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.960482Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:8b2b96342fb892d9c2daad32d2eed81460709b774bb3e81ce5b47af3b9562f85","observation_id":"3e9ca26c-a6c7-4b3b-96bd-3ed48e8e7685","resolution":{"observed_at":"2026-08-14T06:18:34.516069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.492550Z","title":"Tosatti and B","venue":null,"work_id":"7ea43a8b-9a69-4f26-bf7b-cc71ec4a0e24","year":2010},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.964235Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:0421efc9bcace23645ddbe7ab125d7847feb40f9748c87355fe1e42ead8afe4a","observation_id":"9733f573-d6c7-4b69-ac71-19cdbfc31804","resolution":{"observed_at":"2026-08-14T06:18:34.500035Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.479300Z","title":"Trudinger, On the Dirichlet problem for Hessian equations , Acta Mathematica 175 no","venue":null,"work_id":"873e6842-7ea3-4e51-9e9c-c3b5cf9892cf","year":1995},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.968489Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:246531d9993dd3f8f0d060029189b0797941fb343acff3dac4f8e013db27fc69","observation_id":"49545ec5-5513-4200-b250-e88ca90293da","resolution":{"observed_at":"2026-08-14T06:18:34.484059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.449457Z","title":"Vinacua, Nonlinear elliptic equations and the compl ex Hessian, Communications in partial diﬀerential equations 13.12 (1988), 1467-1497","venue":null,"work_id":"77f8eb49-64c2-4ee7-a7c8-b011d3638684","year":1988},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.972431Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:25c7fa1e9e24c3a5e3e3d2734cc020014553b785b52ddc625759562811622fda","observation_id":"6ff4ecc5-9c34-4415-a1ef-a796c3f7be9a","resolution":{"observed_at":"2026-08-14T06:18:34.470195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.421579Z","title":"Wang, On the C 2,α regularity of the complex Monge-Ampere equation , Math","venue":null,"work_id":"35fac250-769f-4363-a74b-0b31e73ba6d3","year":2012},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.977421Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:d47c09b5d4c2e4e6efe8b95d258b9df5b94d5fb7362815dfdcb29f4617a420a3","observation_id":"0ec1ed08-1696-4551-a89d-ea75546619ee","resolution":{"observed_at":"2026-08-14T06:18:34.437413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.404934Z","title":"Zhang, Hessian equations on closed Hermitian manifolds , Paciﬁc Journal of Math- ematics 291, no","venue":null,"work_id":"4e680c76-ebae-41a7-9942-947e0c3c83d3","year":2017},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.981791Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:eb2092a3967f96babfe66998f81178b935ea05e228a99e0d549df87152be8d3b","observation_id":"3c16234f-c658-4e45-9993-d4239aad0f8b","resolution":{"observed_at":"2026-08-14T06:18:34.409114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.390638Z","title":"Zhang, A priori estimates for complex Monge-Ampere equation on Her mitian manifolds, International Mathematics Research Notices 2010, no","venue":null,"work_id":"f5767f6c-2ee0-433a-b915-7ed28c88b138","year":2010},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.985609Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:5647d836174017f2b8a32df3b26c50a6c2ded4b3f4e5991b0667a5e4945ae8f7","observation_id":"e3b36a8e-cf2f-445d-ab10-3ada26ed12ed","resolution":{"observed_at":"2026-08-14T06:18:34.395386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:34.377163Z","title":"Yau, On the Ricci curvature of a compact Kahler manifold and the co mplex Monge-Ampere equation I , Comm","venue":null,"work_id":"c87f04f6-b42a-4c22-8dd7-edb57f9fdf7f","year":1978},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:33.989131Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:2a1cd016c1b6cdeeb0827c8ae399a552b3f96fadcd19ff2afa8d0f7443163016","observation_id":"4b7d62b0-e460-4c3c-9ac2-cf2f42b7f1c1","resolution":{"observed_at":"2026-08-14T06:18:34.381362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:18:32.987556Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold","version":1},"reference_index":174,"source":"pdf_text","source_observed_at":"2026-08-14T06:18:32.987556Z"},"links":{"citing_paper":"/paper/1909.00447"},"observation_digest":"sha256:ed4aae84bc2f4923fe7e4a201333b1e9b60e4092c77f1ce328d411e31c6e2f8f","observation_id":"fb130e6a-62f4-4184-befe-d769a59188fe","resolution":{"observed_at":"2026-08-14T06:18:32.987556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1909.00447","last_updated":"2019-09-01T18:50:13Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-15T03:02:44.437937Z","submitted_at":"2019-09-01T18:50:13Z","title":"The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold"},"reference_resolution":{"displayed":77,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":2,"verified_fuzzy":60},"total_outbound_references":77},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 77 of 77 outbound references and 1 inbound Pith citation observation for arXiv:1909.00447."}