{"as_of":"2026-08-18T11:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ada464457ad5e37b49b30b9aaffc4d6e41e7c80eb249c41b833c6d9aac63cf83","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-12T17:05:14.477103Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.02526/citation-record","integrity":"/paper/2607.02526/integrity","json":"/paper/2607.02526/citation-record.json","paper":"/paper/2607.02526"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2604.05664","last_updated":"2026-06-16T08:15:27Z","snapshot_observed_at":"2026-08-03T01:51:59.896043Z","submitted_at":"2026-04-07T10:05:56Z","title":"The Pandharipande-Thomas rationality conjecture for superpositive curve classes on projective complex 3-manifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.05664","snapshot_observed_at":"2026-07-12T17:05:14.477103Z","title":"Anderson and D","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"cited_paper":"/paper/2604.05664","citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:6cf2f46093e9baf4a5ec87306ec9b75172997a5f4c3ca75867805ba24f763fbc","observation_id":"ba4961cd-ca80-404a-a592-c04a5a2244ff","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T17:05:14.477103Z","title":"Eisenbud and J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:3360d60ff5d95e1797c06fdaec501e82d2f52612da7e8ab0844b8551213e26d8","observation_id":"9e69e021-830e-4e7c-832c-e30b92121de4","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","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":"10.1016/s0040-9383(01)00023-4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Topology","work_id":"13302c5e-68a4-4c15-ba04-6d56b736d29b","year":2002},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:d01b7403abf9549aa55add2cd97429b8b9876f899eb9b31c4e022695a1feadf4","observation_id":"dcef8a52-752d-4b1b-9e0b-f70eba20a278","resolution":{"observed_at":"2026-07-12T17:08:57.812611Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-12T17:05:14.477103Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:ce6fa25e4b0f734399bb5d389ab36d49818750e63250ff2dcd1f04e2d64d7241","observation_id":"88b3ce73-4597-4975-a129-0fcf5af5957d","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T17:05:14.477103Z","title":"Fulton,Intersection Theory, 2nd ed., Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:d9566cc64fef5f9c9664ba664516e7b68f8c5b683c739665f451c37969fef098","observation_id":"2d3388b0-365d-4ce5-a579-ed69b4bc6ebd","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.03269","last_updated":"2020-08-14T02:41:24Z","snapshot_observed_at":"2026-08-14T16:08:07.909040Z","submitted_at":"2019-07-07T10:57:26Z","title":"The homology of moduli stacks of complexes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.03269","snapshot_observed_at":"2026-07-12T17:05:14.477103Z","title":"Gross,The homology of moduli stacks of complexes, D.Phil","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"cited_paper":"/paper/1907.03269","citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:96639af558a588f5b091c1bec2a577ad2d7c845725a7456b56baa4654f5e1d3a","observation_id":"d00967f0-70e0-4ef2-ae91-35f87bad882d","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T17:05:14.477103Z","title":"Huybrechts,Fourier–Mukai Transforms in Algebraic Geometry, Oxford Mathematical Monographs, Oxford University Press, Oxford, 2006","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:b54e5a0978d8c50dd27809335df1ad8c9dbbc4a0ffff16aba622069762923662","observation_id":"2b9a3f11-aabe-4b55-b1fa-f013c234f1df","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.04694","last_updated":"2021-11-08T18:17:15Z","snapshot_observed_at":"2026-08-16T17:43:12.252280Z","submitted_at":"2021-11-08T18:17:15Z","title":"Enumerative invariants and wall-crossing formulae in abelian categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.04694","snapshot_observed_at":"2026-07-12T17:05:14.477103Z","title":"Joyce,Enumerative invariants and wall-crossing formulae in abelian categories, arXiv:2111.04694 [math.AG], 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"cited_paper":"/paper/2111.04694","citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:31aeb286e876948decace4044f1b9501f6827ec4aacdd15e9ccec4ce86a02a56","observation_id":"51328d97-bd1e-4788-b327-b41d63de2cca","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T17:05:14.477103Z","title":"Pandharipande and R","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:35405384fe4523d3e2d7bd46a697fa4372bae697719ac803228b3cb9ca91e67d","observation_id":"6bc1eb4b-30e3-4a95-866d-8d2ca7e57c7d","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T17:05:14.477103Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:8377804c847c97a08333ac74c44d7bef98b98305190c07bbe0e1bcfb26b65952","observation_id":"532c3027-5b45-48de-b166-4365178a1c9d","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T17:05:14.477103Z","title":"Joyce and Y","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:6b6681583bdc5da0848440cff77d1f8430da89e43a03cbeeb5f785e8c7e5951a","observation_id":"8fb5c765-1a8e-4279-aa36-35c356cbeff2","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","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":"10.1090/s0894-0347-2011-00701-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Bridgeland,Hall algebras and curve-counting invariants, J","venue":"Journal of the American Mathematical Society","work_id":"5f0c3b4f-0559-49ec-9a3b-6123d8ce8bad","year":2011},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:47c0c346ccaf10f005f0491ccc8ebd22443ad662b0c630c76aaed975f9a35d78","observation_id":"9d7e759d-31f5-4834-9d84-c2cd2ca7208a","resolution":{"observed_at":"2026-07-12T17:08:57.835339Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-12T17:05:14.477103Z","title":"Toda,Curve counting theories via stable objects I","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:0ca955505a4b2d75a4aad1d15d62de32936a4f064b1e9dee91b1a76267f911bf","observation_id":"6fd5ef43-dff9-4151-816e-e1c5578e2b66","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.00063","last_updated":"2020-08-11T03:34:43Z","snapshot_observed_at":"2026-08-13T21:58:11.244835Z","submitted_at":"2020-07-31T20:07:59Z","title":"Homological algebra of modules over posets","version":2},"cited_work":{"arxiv_id":"2008.00063","doi":"10.1112/jlms.12571","metadata_source":"pith","pith_arxiv_id":"2008.00063","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Homological algebra of modules over posets","venue":"math.AT","work_id":"bece2fbb-bbc7-42f7-a2d1-c5bb2b692b07","year":2020},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"cited_paper":"/paper/2008.00063","citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:9a5c2a0573156cbfc3908fd08349fe0837ac06c3bc2bfa6ba0dc481e08bc359e","observation_id":"9d78de8a-8209-4ab3-a34b-c5fa19cb3b1c","resolution":{"observed_at":"2026-07-12T17:08:57.800836Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.01747","last_updated":"2017-03-06T07:19:31Z","snapshot_observed_at":"2026-08-14T21:13:25.047273Z","submitted_at":"2017-03-06T07:19:31Z","title":"Descendents for stable pairs on 3-folds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.01747","snapshot_observed_at":"2026-07-12T17:05:14.477103Z","title":"Pandharipande,Descendents for stable pairs on 3-folds, inModern Geometry: A Celebration of the Work of Simon Donaldson, Proc","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"cited_paper":"/paper/1703.01747","citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:97c983d99178ae3f07b005bfdf3dab062aced6731d6f60c6c8bd1ee7801767d2","observation_id":"abc078da-81d7-4431-a8cf-55054903e08d","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","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":"10.24033/asens.1658","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Campana,Connexité rationnelle des variétés de Fano, Ann","venue":"Annales Scientifiques de l École Normale Supérieure","work_id":"db3a96a2-d57a-44ad-8e68-8074c97f2437","year":1992},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:0e42acea8b3c1d721165dd26aa22a689315fca7030150197d02c97808ebe8ba8","observation_id":"f7c06980-d57c-4653-b626-969a8f7d7646","resolution":{"observed_at":"2026-07-12T17:08:57.822453Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-07-12T17:05:14.477103Z","title":"Kollár, Y","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:7dd86109ec1321765921af9d157bc37a8afa6f618adff5f387d771f6122489c1","observation_id":"8e9c711a-a49a-44bd-ae43-b1ab3b1e7168","resolution":{"observed_at":"2026-07-12T17:05:14.477103Z","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":"10.1007/s00208-004-0569-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Annalen","work_id":"97d82deb-ebd6-4c7a-9e67-349d57c57742","year":2004},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:7f519b3ec9796749b94504d4ea6d85fff5bb1d453179037e8694f907e80e5107","observation_id":"0f5a9765-4a67-4dec-bc4a-79084d56bbc4","resolution":{"observed_at":"2026-07-12T17:08:57.779807Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jpaa.2008.01.004","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Voineagu,Semi-topological K-theory for certain projective varieties, J","venue":"Journal of Pure and Applied Algebra","work_id":"99adcd70-15c9-4a9d-ab98-b75bc34c9734","year":2008},"citing_paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-12T17:05:14.477103Z"},"links":{"citing_paper":"/paper/2607.02526"},"observation_digest":"sha256:0024400d710ec30f364b5df110ecf938e80069fcf9b328e695a6fc98ca2fa493","observation_id":"8453574d-97d8-4ffc-b71c-8244d9b3e939","resolution":{"observed_at":"2026-07-12T17:08:57.828548Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.02526","last_updated":"2026-05-11T17:25:15Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-14T15:43:44.808235Z","submitted_at":"2026-05-11T17:25:15Z","title":"Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":13,"verified_exact":5,"verified_fuzzy":0},"total_outbound_references":19},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.02526."}