Paper Citation Record · LEDGER

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.01749.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.01749 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:16:06.199250Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy17
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 936e8dc1-4259-416e-bf69-8673a4cd926e · outbound

This paper cites Atiyah, I.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Atiyah, I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.936339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a97ce181-56e6-43eb-b7c8-07351af3b208 · outbound

This paper cites Auslander; Coherent Functors, Proceedings of the Con ference Categorical Alge- bra, La Jolla 1965, Springer Verlag, 1966.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Auslander; Coherent Functors, Proceedings of the Con ference Categorical Alge- bra, La Jolla 1965, Springer Verlag, 1966

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.898399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6880e2c3-b9e2-4f1b-ab95-ed8d07a45db5 · outbound

This paper cites Auslander, M.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Auslander, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.858147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6752449b-9dd8-4d47-973e-6ba6c6dcc8de · outbound

This paper cites Barajas, D.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Barajas, D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.830642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cea23c8c-6513-481d-8da1-506ae424c372 · outbound

This paper cites Brenner, J.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Brenner, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.788451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation faf6f41c-7dfb-46c2-9144-141d905108fa · outbound

This paper cites Bruns, J.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Bruns, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.756116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8c7f82e2-c302-4ba1-92de-68026d10d582 · outbound

This paper cites Hartshorne; Algebraic Geometry, Graduate Texts in Mathematics Vol.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Hartshorne; Algebraic Geometry, Graduate Texts in Mathematics Vol

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.729167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a1a243c9-78f5-4bc4-8842-c754e1e549cc · outbound

This paper cites Grothendieck; ´El´ ements de g´ eometrie alg´ ebrique IV, Quatri` eme partie, ´Etude locale des sch´ emas et des morphismes des sch´ emas, Publ.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Grothendieck; ´El´ ements de g´ eometrie alg´ ebrique IV, Quatri` eme partie, ´Etude locale des sch´ emas et des morphismes des sch´ emas, Publ

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.698496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 03ce2214-35d7-4e64-9bd4-2b96f180b2c6 · outbound

This paper cites Laksov, A.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Laksov, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.659861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation de7d955f-5f7e-4a56-b018-f4d45898b3ea · outbound

This paper cites Lipman; Free derivation modules on algebraic varieties , Amer.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Lipman; Free derivation modules on algebraic varieties , Amer

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.632521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 418e5719-6d7d-412a-acdd-41e384223c7c · outbound

This paper cites Lipman; On the Jacobian ideal of the module of diﬀerentials , Proc.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Lipman; On the Jacobian ideal of the module of diﬀerentials , Proc

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.597156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 80f91ef1-67ed-47ac-ace3-18823a9631b1 · outbound

This paper cites Nakai; High order derivations I , Osaka J.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Nakai; High order derivations I , Osaka J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.541728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e3cf12d5-641c-4922-9ae2-e1c2dd7b565b · outbound

This paper cites Osborn; Modules of diﬀerentials I , Math.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Osborn; Modules of diﬀerentials I , Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.503247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dd8013ec-4a12-47ce-88fa-de0cd82dffcd · outbound

This paper cites Oneto, E.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Oneto, E

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.452135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0c43fd26-ddbc-4558-ba21-b0041135d0bc · outbound

This paper cites Suzuki; On torsion of the module of diﬀerentials of a locality which is a complete intersection, J.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Suzuki; On torsion of the module of diﬀerentials of a locality which is a complete intersection, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.402947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation edd455c6-ac13-48e3-acf4-a4be8cc81177 · outbound

This paper cites Vasconcelos, Reﬂexive Modules over Gorenstein Rings , Proc.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Vasconcelos, Reﬂexive Modules over Gorenstein Rings , Proc

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.358014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dedf0c14-4919-4ab1-8cd2-3c8b7fa31182 · outbound

This paper cites Villamayor; On ﬂattening of coherent sheaves and of projective morphism s, J.

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces Villamayor; On ﬂattening of coherent sheaves and of projective morphism s, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:16:06.313868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.