{"as_of":"2026-08-17T02:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3c5ac553569ae98f5c9d70fd672df628b50a669c452a802fdb02c6d9bef37742","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:16:06.199250Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"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/1908.01749/citation-record","integrity":"/paper/1908.01749/integrity","json":"/paper/1908.01749/citation-record.json","paper":"/paper/1908.01749"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:16:06.929331Z","title":"Atiyah, I","venue":null,"work_id":"a2747d62-3860-409f-a16e-0b07aac42a3d","year":1969},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.022553Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:035b7f373cc10dae73d4fe9f1c46a49d80dab27409841647c97afa4bd984dec7","observation_id":"936e8dc1-4259-416e-bf69-8673a4cd926e","resolution":{"observed_at":"2026-08-14T15:16:06.936339Z","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":"2026-08-14T15:16:06.889310Z","title":"Auslander; Coherent Functors, Proceedings of the Con ference Categorical Alge- bra, La Jolla 1965, Springer Verlag, 1966","venue":null,"work_id":"5a0beb40-97aa-49c9-88ca-943bf4b69aec","year":1965},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.030650Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:579c118111c9ff19269f2daa8267ed846c85510cf1f0cdf105886ec51c1ba6eb","observation_id":"a97ce181-56e6-43eb-b7c8-07351af3b208","resolution":{"observed_at":"2026-08-14T15:16:06.898399Z","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":"2026-08-14T15:16:06.851302Z","title":"Auslander, M","venue":null,"work_id":"591052c6-b0a5-4d51-8dfa-f8aabf88b714","year":1969},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.038895Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:015d569619f32ab7693f9385449ee6b476d7958d13a0288bc5278058e48ca5ae","observation_id":"6880e2c3-b9e2-4f1b-ab95-ed8d07a45db5","resolution":{"observed_at":"2026-08-14T15:16:06.858147Z","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":"2026-08-14T15:16:06.823178Z","title":"Barajas, D","venue":null,"work_id":"603753c1-d987-49aa-bca1-6a39e10b661f","year":2020},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.050374Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:01ec7a2bbaffc63d5787a5cd1f2d93bfe8b0bf9b77920db81565602c3a3c6c6b","observation_id":"6752449b-9dd8-4d47-973e-6ba6c6dcc8de","resolution":{"observed_at":"2026-08-14T15:16:06.830642Z","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":"2026-08-14T15:16:06.782056Z","title":"Brenner, J","venue":null,"work_id":"c15ba9de-78e4-46ae-8e28-4186f6232a9a","year":2019},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.059458Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:7be86b003f8647d6431d14b63ab47abb07ebeb93bc93c6ed3c72c36e8e76d8a9","observation_id":"cea23c8c-6513-481d-8da1-506ae424c372","resolution":{"observed_at":"2026-08-14T15:16:06.788451Z","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":"2026-08-14T15:16:06.747226Z","title":"Bruns, J","venue":null,"work_id":"0fe764c5-2519-4945-ba35-47b002c1911e","year":1998},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.077000Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:c760113c4934f5da3bddc2209775af1a55eb2f46f42e6d1ca3b2b11998c6005f","observation_id":"faf6f41c-7dfb-46c2-9144-141d905108fa","resolution":{"observed_at":"2026-08-14T15:16:06.756116Z","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":"2026-08-14T15:16:06.721927Z","title":"Hartshorne; Algebraic Geometry, Graduate Texts in Mathematics Vol","venue":null,"work_id":"f37c6bff-9fe4-45de-a2b4-f4251841c285","year":1977},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.100291Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:e9d802b8ff602697f0379b520aeb2ebeaceb985992db52d9aa13a7b0cd17fd58","observation_id":"8c7f82e2-c302-4ba1-92de-68026d10d582","resolution":{"observed_at":"2026-08-14T15:16:06.729167Z","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":"2026-08-14T15:16:06.687528Z","title":"Grothendieck; ´El´ ements de g´ eometrie alg´ ebrique IV, Quatri` eme partie, ´Etude locale des sch´ emas et des morphismes des sch´ emas, Publ","venue":null,"work_id":"77105bed-6eb6-4719-b291-afacd35fcbf7","year":1967},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.111891Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:2903f9f6b40c5446e2f4fc33befd7f2f1feb15dd83b6140e8633892e38ae9295","observation_id":"a1a243c9-78f5-4bc4-8842-c754e1e549cc","resolution":{"observed_at":"2026-08-14T15:16:06.698496Z","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":"2026-08-14T15:16:06.652215Z","title":"Laksov, A","venue":null,"work_id":"b8bb6f3d-1d6b-4d4a-892c-2bee914da353","year":1995},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.118967Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:771cbd3d8fca73782f05e35c7cdb2490cbce76502c30a99c2c32cf5b55c9c347","observation_id":"03ce2214-35d7-4e64-9bd4-2b96f180b2c6","resolution":{"observed_at":"2026-08-14T15:16:06.659861Z","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":"2026-08-14T15:16:06.621915Z","title":"Lipman; Free derivation modules on algebraic varieties , Amer","venue":null,"work_id":"bebdce77-07a3-470d-a9aa-47a6701f1405","year":1965},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.126463Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:bd016e32c577db8b4009008ccedaa40b99254a088caf9532822ef0a3e425fc62","observation_id":"de7d955f-5f7e-4a56-b018-f4d45898b3ea","resolution":{"observed_at":"2026-08-14T15:16:06.632521Z","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":"2026-08-14T15:16:06.576767Z","title":"Lipman; On the Jacobian ideal of the module of differentials , Proc","venue":null,"work_id":"9c9e4d96-331b-43b2-a19c-0a8670963bea","year":1969},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.137324Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:ce7cfa7519c1f9b3a9a432120169aece68cbce44cc6d54fdfb2c068487b71b2f","observation_id":"418e5719-6d7d-412a-acdd-41e384223c7c","resolution":{"observed_at":"2026-08-14T15:16:06.597156Z","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":"2026-08-14T15:16:06.532225Z","title":"Nakai; High order derivations I , Osaka J","venue":null,"work_id":"1cab44f7-78de-4209-9655-b3a5b771ad1d","year":1970},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.147392Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:32e161d5cae85a6a512ba99b3292928e98e272d03c9fcf98d805584f95ec4716","observation_id":"80f91ef1-67ed-47ac-ace3-18823a9631b1","resolution":{"observed_at":"2026-08-14T15:16:06.541728Z","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":"2026-08-14T15:16:06.487970Z","title":"Osborn; Modules of differentials I , Math","venue":null,"work_id":"9370740d-b8bd-4a86-be1d-1a3be016dcac","year":1967},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.155005Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:e35cf0538449c72d43250ae66630625eb0acbc737f0b102b09d4f94438fa4f61","observation_id":"e3cf12d5-641c-4922-9ae2-e1c2dd7b565b","resolution":{"observed_at":"2026-08-14T15:16:06.503247Z","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":"2026-08-14T15:16:06.442859Z","title":"Oneto, E","venue":null,"work_id":"8f96d0ed-96c8-4822-8814-52bb2b21cb4d","year":1991},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.162929Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:dd0ce33f281f1501b5b97d2c144fafafbb7a84b5b2c693a4ee08553d4ba2f1b1","observation_id":"dd8013ec-4a12-47ce-88fa-de0cd82dffcd","resolution":{"observed_at":"2026-08-14T15:16:06.452135Z","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":"2026-08-14T15:16:06.381843Z","title":"Suzuki; On torsion of the module of differentials of a locality which is a complete intersection, J","venue":null,"work_id":"001b9456-7167-4be1-86d8-e2692cf7d25e","year":1965},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.171308Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:f8796fb6f8811ec79f4becc5a38d81f5b3f72e306756b57475f1c79a64678f39","observation_id":"0c43fd26-ddbc-4558-ba21-b0041135d0bc","resolution":{"observed_at":"2026-08-14T15:16:06.402947Z","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":"2026-08-14T15:16:06.351820Z","title":"Vasconcelos, Reflexive Modules over Gorenstein Rings , Proc","venue":null,"work_id":"c2b54ae2-1b70-462c-854a-e79fdcc89617","year":1968},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.186781Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:bfddf4547eec805c8a3857801f57ab8686a2c364108398aba88dc373ca87ac04","observation_id":"edd455c6-ac13-48e3-acf4-a4be8cc81177","resolution":{"observed_at":"2026-08-14T15:16:06.358014Z","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":"2026-08-14T15:16:06.301784Z","title":"Villamayor; On flattening of coherent sheaves and of projective morphism s, J","venue":null,"work_id":"0e4d98e7-b601-474d-a176-65c08d502fb6","year":2006},"citing_paper":{"arxiv_id":"1908.01749","last_updated":"2020-10-20T02:33:37Z","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:16:06.199250Z"},"links":{"citing_paper":"/paper/1908.01749"},"observation_digest":"sha256:8817bcea0fed7d540eac437a19406dc73238478ff7136224a5eab04a95577daf","observation_id":"dedf0c14-4919-4ab1-8cd2-3c8b7fa31182","resolution":{"observed_at":"2026-08-14T15:16:06.313868Z","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":"1908.01749","last_updated":"2020-10-20T02:33:37Z","latest_version":2,"primary_category":"math.AC","snapshot_observed_at":"2026-08-16T14:16:20.221373Z","submitted_at":"2019-08-05T17:47:33Z","title":"On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":17},"total_outbound_references":17},"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 17 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.01749."}