{"as_of":"2026-08-16T10:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d70b520d15a2cd5cbb090b9f7fc48bda879c8ca570c01cd2fc1dfc9fbd0899a6","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:46:28.676943Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.00676/citation-record","integrity":"/paper/1908.00676/integrity","json":"/paper/1908.00676/citation-record.json","paper":"/paper/1908.00676"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:46:29.011484Z","title":"Brown, A structure theorem for a class of grade three perfect ideals , J","venue":null,"work_id":"010b5eb3-d3ad-4bd6-842c-1c909640fa39","year":1987},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.576633Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:4591a704b9c0575ac765e673ebd8d4defe4ad5329d35911e0d978a86ee58fc3e","observation_id":"92b3da25-f3b6-4338-bb10-a48462eccef4","resolution":{"observed_at":"2026-08-14T15:46:29.015114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:29.000703Z","title":"Buchweitz, Contributions à la thèorie des singularités , Thesis, l’Université de Paris, 1981","venue":null,"work_id":"e3853142-39e4-487d-acf3-bd011223f371","year":1981},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.580714Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:42f75d33dab7dac727d262e10464c52f36b2d9d5c981fbcbaf6d53aeced90b07","observation_id":"80939e93-c1db-40fe-8ed0-4b05cc71dc21","resolution":{"observed_at":"2026-08-14T15:46:29.004580Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.989481Z","title":"Chong, Face vectors and Hilbert functions , Thesis, Cornell Univ., 2015","venue":null,"work_id":"66acd650-04e4-46ee-ad11-accde93d68c7","year":2015},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.584094Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:54c0053ee4c1bb5a35b10d2ab306841799f02c617e7bdd843f62959b36d5077f","observation_id":"fb1e3f3f-0372-4bd8-b2fd-36b27d2dab07","resolution":{"observed_at":"2026-08-14T15:46:28.993116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.979072Z","title":"Chong, An application of liaison theory to to Eisenbud-Green-Harris c onjecture, J","venue":null,"work_id":"46292f05-44bb-49f9-9a12-9749a527b9c7","year":2016},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.587267Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:9ac2ab45e0652ef2f1df292b9017099a56d31d185e6cacec6eb0e1c5bb745e5f","observation_id":"530b870c-0a21-423a-af52-c4d5fde81ab9","resolution":{"observed_at":"2026-08-14T15:46:28.982821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.969092Z","title":"Eisenbud, M","venue":null,"work_id":"2ddc2b72-ea19-437f-838d-3a856e8f77b0","year":1996},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.590522Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:6d57bb72b4b9b1ab60f30c288b1ee7c0015f789985252c744087f0bbaa87c1f6","observation_id":"e4e3558f-d54b-47bf-bb5c-8d03e17ac36f","resolution":{"observed_at":"2026-08-14T15:46:28.972535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.959124Z","title":"Gaeta, Détermination de la chaine syzygétique des idéaux matriciels parfaits et son application à la posulation de leurs variétés algébriques associées , C.R","venue":null,"work_id":"9137423a-8a86-4841-8337-2014d509834f","year":1954},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.593919Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:51d608def8346b3a02076a0eb853c399d631c99e454d9d0725844c04964efb6b","observation_id":"ccc3feab-abc4-4d76-9deb-b5e9cdbb5c02","resolution":{"observed_at":"2026-08-14T15:46:28.962527Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.948598Z","title":"Geramita, T","venue":null,"work_id":"6ad08b68-8942-4b66-8c02-276aedafe55a","year":2007},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.597588Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:09265855e0f57cecb2e8a356c57677229ace3334eb7c56518bac9af818f69453","observation_id":"dacb4d7c-7bb0-4aa3-870c-6e7594693478","resolution":{"observed_at":"2026-08-14T15:46:28.952285Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.937622Z","title":"Hartshorne, Some examples of gorenstein liaison in codimension three , Collect","venue":null,"work_id":"60ecffda-e5c2-4d4f-92d6-2fa05224a09a","year":2002},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.601123Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:b81d4c53cc802fdd16dfe98830a3751b58026f983c6958b87f8db9c6a757e6ea","observation_id":"5726afe9-d69f-4994-94f2-d943a0383777","resolution":{"observed_at":"2026-08-14T15:46:28.941503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.927052Z","title":"Hartshorne, I","venue":null,"work_id":"94f51cb8-10fe-4156-8e1d-73535781bdd0","year":2006},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.604854Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:f2886c60f7fa41a0c1bd010d87d6da5763456681b4941e870f5e10a5ea3932ab","observation_id":"046f4605-72f3-420f-809e-99d887f38698","resolution":{"observed_at":"2026-08-14T15:46:28.930778Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.915938Z","title":"Herzog, Deformationen von Cohen-Macaulay Algebren , J","venue":null,"work_id":"4d13cdae-1fe9-499d-ba91-3717f77edbef","year":1980},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.608286Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:c7fa03267144c856bbdcdb4c0cc404bc8b37bcde6cbcf4f1fa10136b0e23d3c1","observation_id":"6c521015-fe82-48fb-96af-5d6544a239ad","resolution":{"observed_at":"2026-08-14T15:46:28.919693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.905287Z","title":"Huneke, Linkage and Koszul homology of ideals , Amer","venue":null,"work_id":"30ebd08d-049b-477f-b26b-7150a4b79f3c","year":1982},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.611941Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:f4557e6ce540eefdd3c5cbbf840333c66f0f50345251d7b1e2e92f194a75524b","observation_id":"e19a2b29-2ea1-4483-8c67-07d647877699","resolution":{"observed_at":"2026-08-14T15:46:28.909156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.895088Z","title":"Huneke and B","venue":null,"work_id":"c7e4fcf7-230e-47b7-a6bf-282970bd669a","year":1985},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.615604Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:73b31b8538e8d72abea476a850464b644fe1bc3612a5320444c8d81be534e8f3","observation_id":"08fb2a03-e547-4385-85f2-25a18472f7e0","resolution":{"observed_at":"2026-08-14T15:46:28.898749Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.884335Z","title":"Huneke and B","venue":null,"work_id":"e267782e-d383-4b77-b5ce-30fcfea266a4","year":1987},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.619416Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:0be8868d3105cb45d9a44cff89f6f46659db215b3199256ccf1cf2d8cafb39d8","observation_id":"10b8525e-a07b-4be5-b01c-078bfc942d1f","resolution":{"observed_at":"2026-08-14T15:46:28.887990Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.873621Z","title":"Huneke and B","venue":null,"work_id":"5f9205ba-6418-4e49-8624-87c730a0e2a6","year":1988},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.622921Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:cde4aeae9a95500c6a1521d548e67d09f6d069f17ed1c22df7cda5b9c98c7ae1","observation_id":"2bfa9d10-9f41-4b65-a4d5-3efa8974e9a8","resolution":{"observed_at":"2026-08-14T15:46:28.877308Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.862575Z","title":"Huneke and B","venue":null,"work_id":"785ee494-d6c7-43e5-8ae4-a73d4dbcefed","year":1989},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.626258Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:2b8f689f884e7d8b2fcf427700c704474cde3b9e96bc3cebce62f98ab9f85058","observation_id":"d7271071-19b7-4f41-baa2-c98c8f8fb2cd","resolution":{"observed_at":"2026-08-14T15:46:28.866620Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.851633Z","title":"Huneke and B","venue":null,"work_id":"6efcff4f-a9bf-4834-a078-7b4002afc9ac","year":1992},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.629968Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:0d47da0e9d2f3fa69d9832b8f40f1de9fb9b9c39cec397d100cbd0e6c90089ba","observation_id":"46b8df97-f005-41d9-8151-dcb0c9a231e2","resolution":{"observed_at":"2026-08-14T15:46:28.855248Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.841131Z","title":"Huneke and B","venue":null,"work_id":"1f51b17f-bd68-4758-95e3-a629ccfc6967","year":2007},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.634089Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:36cccb85d21e9191649e1bdb6f2cff9b4cbf95d940a80f12f335e36a13305061","observation_id":"bede445b-8d65-476e-ac83-8ab02f69b6da","resolution":{"observed_at":"2026-08-14T15:46:28.844481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.830066Z","title":"Algebra, Geometry and their Interactions (Notre Dame 2 005),","venue":null,"work_id":"4c250dad-4de9-4e97-8f4f-2d21a9827094","year":2007},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.637694Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:7c6a345791902cf094cac97f3477e913ec96b4d57f13d61574673a78dc77646e","observation_id":"396eab04-cca0-42c5-ab16-51c042c1170d","resolution":{"observed_at":"2026-08-14T15:46:28.833999Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.818069Z","title":"Johnson, Linkage and sums of ideals , Trans","venue":null,"work_id":"ab69b6a4-2dd7-41f7-89c5-5ed809ee20cb","year":1998},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.641167Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:cf35d3eec7a3235f0bc9ab81adf3ae65ec0f3fb0beec219d03a38d88a6b9cca0","observation_id":"109b59e6-7426-44f2-96f3-ef2bc5a12844","resolution":{"observed_at":"2026-08-14T15:46:28.822065Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.806387Z","title":"Johnson, Licci ideals and the non-almost complete intersection locus , Proc","venue":null,"work_id":"eee2f3cb-b9a3-42c3-bef0-6b107bc6c46e","year":2001},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.644554Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:299311e7f68e8aa1f1f663ce38fb1745be3870137cff291cf193f4c29adf5ac1","observation_id":"660b08d4-6a56-468e-a36b-5df2cc07e6e5","resolution":{"observed_at":"2026-08-14T15:46:28.810434Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.794828Z","title":"Kustin and M","venue":null,"work_id":"d29e7170-775e-4751-a352-97a1ec60d4ac","year":1981},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.648360Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:15661aa236b61b9c7c1eaa3638a41e4d964728d2286c233fbeac85ad5742c009","observation_id":"2572e0c4-6fa7-40f8-afbe-45eaa7bbd6ad","resolution":{"observed_at":"2026-08-14T15:46:28.798824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.783492Z","title":"Kustin and M","venue":null,"work_id":"c5189fa4-d7fd-4d00-836b-dfb4d83c4a88","year":1982},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.651728Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:e0b21fdd15e1e2a7968522c608307890f1d7d53d8aaa431451895e98818c1504","observation_id":"6e7821a2-23cb-41cd-9fee-cb7629290a8a","resolution":{"observed_at":"2026-08-14T15:46:28.787316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.771319Z","title":"Migliore, Introduction to liaison theory and deﬁciency modules , Vol","venue":null,"work_id":"41db69f4-adf7-4723-ac67-bc3726b1562c","year":2012},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.655139Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:2fccef76a650fdca31fc517d07f6107a64cf649f58f09dd854d83441e5c130d7","observation_id":"13010075-627f-457f-9b18-cb4b8dc745de","resolution":{"observed_at":"2026-08-14T15:46:28.775801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.759365Z","title":"Migliore and U","venue":null,"work_id":"22220c16-4fdc-40b3-9428-ae10f16556ff","year":null},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.658753Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:7bedf4c2aea6a8340012ba144d86cc5492edbd8d70d7fde8ef4ae991044adcb7","observation_id":"f0342564-6292-410e-bea5-6c83bcc8ca8b","resolution":{"observed_at":"2026-08-14T15:46:28.763314Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.748094Z","title":"Peskine and L","venue":null,"work_id":"97970a2b-62a3-468a-b062-d585db2edd54","year":1974},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.662452Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:563f34f4a2076af9392bea368ad3373839e63d34935005a7d302697556a339e0","observation_id":"98a7423f-9a5c-4581-9c81-db39606deaaf","resolution":{"observed_at":"2026-08-14T15:46:28.751778Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.736754Z","title":"Ulrich, Vanishing of cotangent functors , Math","venue":null,"work_id":"1919ecff-8707-4ade-ba37-8ba9fd7f3914","year":1987},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.666147Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:6f1f36535f1211f5fa7c94af79ea46155a267fc1764937e2cc73b54e5ad2b736","observation_id":"5b347fc0-c434-4e89-83bf-9ae7049148f3","resolution":{"observed_at":"2026-08-14T15:46:28.740625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.725924Z","title":"Ulrich, On licci ideals , Contemp","venue":null,"work_id":"80b08db6-223a-4fb6-a8e6-f37ffe0bea5c","year":1989},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.669466Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:fd1e163ff1710f83227db8b381274e45dd7abc0cf128cb3908b340d088460aab","observation_id":"718e7029-820f-4506-9bc6-0f6633d678de","resolution":{"observed_at":"2026-08-14T15:46:28.729067Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.715289Z","title":"Weibel, An Introduction to Homological Algebra , Cambridge Studies in Advanced Mathe- matics","venue":null,"work_id":"0a7b0c78-6938-4dc0-a48a-44d983c2afc1","year":1994},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.672929Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:2cfe846e38089579da79a52b12745503098d1a8905a79908bf6d855c591b16fc","observation_id":"d366b24f-b8e2-4591-8930-36a9a539fc61","resolution":{"observed_at":"2026-08-14T15:46:28.719045Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:46:28.702914Z","title":"Watanabe, A note on gorenstein rings of embedding codimension three , Nagoya Math","venue":null,"work_id":"74617aea-7db5-4261-a3b2-0de29f1c7c80","year":1973},"citing_paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:46:28.676943Z"},"links":{"citing_paper":"/paper/1908.00676"},"observation_digest":"sha256:7620b907ea919670958ce4f1b4b79eed5ef0ee6bac0c34d77391fb12d120b7ba","observation_id":"a193e3e0-dd49-4d44-91ff-aeff42842a49","resolution":{"observed_at":"2026-08-14T15:46:28.708128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.00676","last_updated":"2019-08-02T01:42:25Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-16T03:40:13.079026Z","submitted_at":"2019-08-02T01:42:25Z","title":"Homogeneous Liaison and the Sequentially Bounded Licci Property"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":29},"total_outbound_references":29},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.00676."}