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Paper Citation Record · LEDGER

On the depth of tensor products over Cohen-Macaulay rings

As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2505.00441.

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

pith.paper-citation-record.v1
2505.00441 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:02:47.487630Z

measured 27 of 27 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

27 of 27 outbound references displayed

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External citation measurements

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Outbound references

Observation f7955d86-4df9-4bb2-992e-52bf0cfd014a · outbound

This paper cites Avramov, Vesselin N.

On the depth of tensor products over Cohen-Macaulay rings Avramov, Vesselin N

Reference 1

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f87fb92b-5afb-471a-a27c-9c9f6c2ad9df · outbound

This paper cites Avramov, Srikanth B.

On the depth of tensor products over Cohen-Macaulay rings Avramov, Srikanth B

Reference 2

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Observation bc38fa0a-71e2-4bbb-a59e-c1ffbedbe238 · outbound

This paper cites Auslander.

On the depth of tensor products over Cohen-Macaulay rings Auslander

Reference 3

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 31c045b2-71e8-4653-b6e3-551936278b85 · outbound

This paper cites Cohen- M acaulay rings , volume 39 of Cambridge Studies in Advanced Mathematics.

On the depth of tensor products over Cohen-Macaulay rings Cohen- M acaulay rings , volume 39 of Cambridge Studies in Advanced Mathematics

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation acb96058-9fd2-4e10-bf5a-ae9adcd7d19c · outbound

This paper cites Bergh, David A.

On the depth of tensor products over Cohen-Macaulay rings Bergh, David A

Reference 5

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Observation f381f698-8835-4cfc-b281-f5cc9a70a8e6 · outbound

This paper cites Algebras that satisfy A uslander's condition on vanishing of cohomology.

On the depth of tensor products over Cohen-Macaulay rings Algebras that satisfy A uslander's condition on vanishing of cohomology

Reference 6

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Observation 1bf967ec-1b97-4d98-8455-3fa30845de90 · outbound

This paper cites Jorgensen.

On the depth of tensor products over Cohen-Macaulay rings Jorgensen

Reference 7

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Observation 610e4f74-4641-410c-8715-dabd35349c63 · outbound

This paper cites Hom and E xt, revisited.

On the depth of tensor products over Cohen-Macaulay rings Hom and E xt, revisited

Reference 8

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Observation 872032c2-116c-4652-96fa-e866f950a707 · outbound

This paper cites Classification of resolving subcategories and grade consistent functions.

On the depth of tensor products over Cohen-Macaulay rings Classification of resolving subcategories and grade consistent functions

Reference 9

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 85a2d3b5-1ac4-4699-85f2-36aee9486223 · outbound

This paper cites Depth and amplitude for unbounded complexes.

On the depth of tensor products over Cohen-Macaulay rings Depth and amplitude for unbounded complexes

Reference 10

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Observation bce9329b-65d9-4439-9f1c-c5508030aaa2 · outbound

This paper cites Heitmann.

On the depth of tensor products over Cohen-Macaulay rings Heitmann

Reference 11

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Observation f9b2b81a-d369-458c-92a7-54ab655ecb8b · outbound

This paper cites Indecomposable canonical modules and connectedness.

On the depth of tensor products over Cohen-Macaulay rings Indecomposable canonical modules and connectedness

Reference 12

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Observation a46a8a70-3b35-4d56-b8c9-075c27249ea3 · outbound

This paper cites Tensor products of modules and the rigidity of Tor.

On the depth of tensor products over Cohen-Macaulay rings Tensor products of modules and the rigidity of Tor

Reference 13

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation cdd73e9c-cc93-4dba-9e4d-afd96cb1da70 · outbound

This paper cites Iyengar, Linquan Ma, Karl Schwede, and Mark E.

On the depth of tensor products over Cohen-Macaulay rings Iyengar, Linquan Ma, Karl Schwede, and Mark E

Reference 14

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6c34765a-c6cb-4fcb-89c6-ca2882d8a74d · outbound

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On the depth of tensor products over Cohen-Macaulay rings Unresolved cited work

Reference 15

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Observation b1814829-3824-4cd9-b345-b5a23b66da81 · outbound

This paper cites Jorgensen and Liana M.

On the depth of tensor products over Cohen-Macaulay rings Jorgensen and Liana M

Reference 16

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 13b4d625-f90b-4c4c-8f56-3011f83bb994 · outbound

This paper cites Jorgensen and Liana M.

On the depth of tensor products over Cohen-Macaulay rings Jorgensen and Liana M

Reference 17

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation c7e1b70e-0485-42fd-8f3c-573494ddfb4d · outbound

This paper cites Jorgensen.

On the depth of tensor products over Cohen-Macaulay rings Jorgensen

Reference 18

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Observation 709fa39b-dc1a-4fc3-8520-595bbd6473f9 · outbound

This paper cites On the vanishing of Ext modules over a local unique factorization domain with an isolated singularity.

On the depth of tensor products over Cohen-Macaulay rings On the vanishing of Ext modules over a local unique factorization domain with an isolated singularity

Reference 19

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Unavailable: canonical work link unavailable.

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Observation 2703c678-2331-43fa-be59-efbf01937a41 · outbound

This paper cites Maximal cohen--macaulay tensor products and vanishing of ext modules.

On the depth of tensor products over Cohen-Macaulay rings Maximal cohen--macaulay tensor products and vanishing of ext modules

Reference 20

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Observation c97e73a1-76b1-4144-8a45-19e7a6754426 · outbound

This paper cites A method for constructing bad N oetherian local rings.

On the depth of tensor products over Cohen-Macaulay rings A method for constructing bad N oetherian local rings

Reference 21

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Observation 0682ae2e-d7e4-450c-bf27-13993b32a1b2 · outbound

This paper cites Extremal growth of B etti numbers and trivial vanishing of (co)homology.

On the depth of tensor products over Cohen-Macaulay rings Extremal growth of B etti numbers and trivial vanishing of (co)homology

Reference 22

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Observation 147e1a58-287a-406f-9e18-d0979c8c8830 · outbound

This paper cites Leuschke and Roger Wiegand.

On the depth of tensor products over Cohen-Macaulay rings Leuschke and Roger Wiegand

Reference 23

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Observation 1ad3f5e7-e56f-43f9-bd92-1ca99505e1c1 · outbound

This paper cites Applications and homological properties of local rings with decomposable maximal ideals.

On the depth of tensor products over Cohen-Macaulay rings Applications and homological properties of local rings with decomposable maximal ideals

Reference 24

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 50cbf015-98b2-44b7-ba3e-46764d1b73b9 · outbound

This paper cites Local rings with quasi-decomposable maximal ideal.

On the depth of tensor products over Cohen-Macaulay rings Local rings with quasi-decomposable maximal ideal

Reference 25

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Observation d4929b03-bde1-4593-bb17-468d136d90b8 · outbound

This paper cites Modules in resolving subcategories which are free on the punctured spectrum.

On the depth of tensor products over Cohen-Macaulay rings Modules in resolving subcategories which are free on the punctured spectrum

Reference 26

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Observation 0794130d-884f-4cc1-b5b6-6b408e140618 · outbound

This paper cites A functorial approach to modules of G -dimension zero.

On the depth of tensor products over Cohen-Macaulay rings A functorial approach to modules of G -dimension zero

Reference 27

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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