Paper Citation Record · LEDGER

Trace ideals, conductors, and ideals of finite (phantom) projective dimension

As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 2 inbound Pith citation observations for arXiv:2501.03442.

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

pith.paper-citation-record.v1
2501.03442 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:05:41.851695Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T16:48:00.220998Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T11:42:15.952798Z

Reference resolution

32 of 32 outbound references displayed

verified exact3
verified fuzzy19
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b69ee67a-772a-456c-8e17-9e83b5866827 · outbound

This paper cites an unresolved cited work.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:42.288255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b20a941e-f076-4ec0-a4ba-e309721fbc8c · outbound

This paper cites Andr ´e, La conjecture du facteur direct, Publ.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Andr ´e, La conjecture du facteur direct, Publ

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.275260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6e21421b-3abd-471e-8b01-038b43c2ad38 · outbound

This paper cites Andr ´e, W eak functoriality of Cohen–Macaulay algebras, J.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Andr ´e, W eak functoriality of Cohen–Macaulay algebras, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.261787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1f563606-dafb-4f85-8f73-c2310710a41a · outbound

This paper cites Homology of conductor.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Homology of conductor

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:05:41.941984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e35eeb14-7cd1-4659-bff9-ca62c496daf5 · outbound

This paper cites Cohen-Macaulayness of absolute integral closures.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Cohen-Macaulayness of absolute integral closures

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T22:05:41.741908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0321393-f0a7-488b-8bb3-2d58f9eef360 · outbound

This paper cites Bruns; J.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Bruns; J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T22:05:41.746413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15573dbb-36e2-4c40-b6c9-43134cebdd7b · outbound

This paper cites an unresolved cited work.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:42.240114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c79baba6-5c26-4168-a4b9-0e9698ba3e20 · outbound

This paper cites an unresolved cited work.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:42.228216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7ccf76e4-27a3-4360-91af-444c3a7d2245 · outbound

This paper cites On containment of trace ideals in ideals of finite homological dimension.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension On containment of trace ideals in ideals of finite homological dimension

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:05:41.909621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cbd432ef-6eb5-469a-9451-78c0948f4ef4 · outbound

This paper cites Enescu; M.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Enescu; M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.216146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 574c1530-69dc-4851-a405-9cb96292df96 · outbound

This paper cites Hochster; C.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Hochster; C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.204236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation aa6797c2-e4f6-46df-8877-3ad450d41052 · outbound

This paper cites Hochster; C.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Hochster; C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.191990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 983d2c75-ccfb-4d71-ab7f-e1c7377472d8 · outbound

This paper cites Hochster; C.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Hochster; C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.180160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c48a87a5-80f5-4e15-8e3e-52b2db45c841 · outbound

This paper cites Hochster; C.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Hochster; C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.169213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 42569228-b17c-499c-9806-c30a743eda93 · outbound

This paper cites Hochster; Y.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Hochster; Y

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.158016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 97558dd2-d162-465b-9ead-b3450e91e68a · outbound

This paper cites Huneke , Tight closure, parameter ideals, and geometry, in Six Lectures on Commutative Algebra , 187—239.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Huneke , Tight closure, parameter ideals, and geometry, in Six Lectures on Commutative Algebra , 187—239

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.146319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 595a8b90-c607-4977-8723-96e1d47e2519 · outbound

This paper cites Huneke; I.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Huneke; I

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.133798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ca012a04-2234-4b62-bb7f-431405c989fe · outbound

This paper cites Ikeda , Conductor ideals of Gorenstein domains and local rings of m ultiplicity 2, The Annals of Gifu University for Education and Languages 33 (1997) 109–116.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Ikeda , Conductor ideals of Gorenstein domains and local rings of m ultiplicity 2, The Annals of Gifu University for Education and Languages 33 (1997) 109–116

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.121298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 97593858-528e-4f02-8b4d-ed545b614f7a · outbound

This paper cites an unresolved cited work.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:42.108757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 14017e5f-262e-4f27-b18f-bff6d02aa69b · outbound

This paper cites Karpilovsky , Topics in ﬁeld theory, North-Holland Math.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Karpilovsky , Topics in ﬁeld theory, North-Holland Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.096896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c62d06a0-1b68-41f8-827b-6bbabe473be8 · outbound

This paper cites Katzman , Parameter-test-ideals of Cohen–Macaulay rings, Compos.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Katzman , Parameter-test-ideals of Cohen–Macaulay rings, Compos

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.084274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ae8139f1-334b-4071-af0c-a51c37218097 · outbound

This paper cites Kaw asaki, On arithmetic Macaulayﬁcation of Noetherian rings, Trans.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Kaw asaki, On arithmetic Macaulayﬁcation of Noetherian rings, Trans

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.072171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4f3e0fd9-e2ce-4934-89e9-f5033bb35f4c · outbound

This paper cites Nearly Gorenstein local rings defined by maximal minors of a $2 \times n$ matrix.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Nearly Gorenstein local rings defined by maximal minors of a $2 \times n$ matrix

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:05:41.890422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4fe4c1f2-b7dc-4727-9d2f-1d4ed464c83e · outbound

This paper cites an unresolved cited work.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:42.059745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 356bdafe-dc24-4c75-9f4d-ddf61068ca74 · outbound

This paper cites Maitra , Partial trace ideals and Berger’s conjecture, J.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Maitra , Partial trace ideals and Berger’s conjecture, J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.047438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 27a9e4d3-1319-42c9-9461-464db2be95aa · outbound

This paper cites Murayama, Uniform bounds on symbolic powers in regular rings, To appe ar in J.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Murayama, Uniform bounds on symbolic powers in regular rings, To appe ar in J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.035054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 92f4d9ed-f61c-40f1-9008-333766f1a87e · outbound

This paper cites P ´erez; Rebecca R.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension P ´erez; Rebecca R

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.022052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6c2a527e-cb74-4b8f-9a3d-b530f6f363eb · outbound

This paper cites Peskine; L.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Peskine; L

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:42.008265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0b3101a0-552b-4c6c-a834-fe273f73ebf5 · outbound

This paper cites Shimomoto , Integral perfectoid big Cohen–Macaulay algebras via Andr ´ e’s theorem,Math.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Shimomoto , Integral perfectoid big Cohen–Macaulay algebras via Andr ´ e’s theorem,Math

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:05:41.993995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6d385d7a-fd23-40f0-8a05-ec4c4f6c6885 · outbound

This paper cites an unresolved cited work.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:41.980464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f93b3527-0f12-487f-a10c-ba9e922fffea · outbound

This paper cites an unresolved cited work.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:41.967582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 66a01a6c-fc03-4ec5-a8bc-34e561d38b20 · outbound

This paper cites an unresolved cited work.

Trace ideals, conductors, and ideals of finite (phantom) projective dimension Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:05:41.954797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 8d06ed4a-1293-4ee9-a170-1d0958de7ef7 · inbound

When do pseudo-Gorenstein rings become Gorenstein? cites this paper.

When do pseudo-Gorenstein rings become Gorenstein? Trace ideals, conductors, and ideals of finite (phantom) projective dimension

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-09T16:48:00.220998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64163d70-8a4f-4e28-b4c4-619bc3b25cf5 · inbound

Canonical traces of graded fiber products: applications to disconnected Stanley--Reisner rings cites this paper.

Canonical traces of graded fiber products: applications to disconnected Stanley--Reisner rings Trace ideals, conductors, and ideals of finite (phantom) projective dimension

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-19T11:42:15.954603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.