Paper Citation Record · LEDGER

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2508.07437.

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

pith.paper-citation-record.v1
2508.07437 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:22:52.128893Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

24 of 24 outbound references displayed

verified exact1
verified fuzzy19
unresolved4
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e6e278c1-3700-446e-b455-1b0687535833 · outbound

This paper cites 39, Cambridge University Press, Cambridge, 1993.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem 39, Cambridge University Press, Cambridge, 1993

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.530614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b438107f-6cea-429b-9f2b-753905c22639 · outbound

This paper cites Bruns and W.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Bruns and W

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.516623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 23f1777b-bac8-42a8-87a6-b65af77a6a31 · outbound

This paper cites Callejas-Bedregal and V.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Callejas-Bedregal and V

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.502063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c1616a2a-17f3-4ded-b1d7-139f45af0fbb · outbound

This paper cites Relative mixed multiplicities and mixed Buchsbaum-Rim multiplicities.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Relative mixed multiplicities and mixed Buchsbaum-Rim multiplicities

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-05T22:22:52.173067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 06caf32c-13d7-4d3b-b7b0-bcbd876c5cbc · outbound

This paper cites an unresolved cited work.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:22:52.487069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation edcc15b4-ef21-4377-9455-445318c10448 · outbound

This paper cites Grothendieck, \'El\'ements de g\'eom\'etrie alg\'ebrique.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Grothendieck, \'El\'ements de g\'eom\'etrie alg\'ebrique

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.472114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6199d336-dbb5-4651-b4c8-6189847097dc · outbound

This paper cites Johnston and J.K.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Johnston and J.K

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.457000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b26f426f-0e92-4114-8785-26a33500b86d · outbound

This paper cites Katz, Reduction criteria for modules, Comm.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Katz, Reduction criteria for modules, Comm

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.442850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9275372c-1be7-42ef-85b5-c3a8e04643ec · outbound

This paper cites an unresolved cited work.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:22:52.428185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 81b61693-f9c2-47ea-9767-6ca191781c3f · outbound

This paper cites Algebra, 319 (2008), 2209--2234.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Algebra, 319 (2008), 2209--2234

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.413278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 088b7049-7575-40b8-857f-504084ce4f7b · outbound

This paper cites Kirby and D.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Kirby and D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.398670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fd25058e-179a-491d-92bb-11b861defb94 · outbound

This paper cites Kleiman and D.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Kleiman and D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.383597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c4eec7f0-5edb-4d9a-b82d-e31ea8ac1fbf · outbound

This paper cites an unresolved cited work.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:22:52.368185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a2d8cf02-6aca-4f3e-8bb1-83ed87187957 · outbound

This paper cites Algebra, 425 (2015), 392--409.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Algebra, 425 (2015), 392--409

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.353415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f9e91ad9-8ed3-4807-8126-45f3f916e0f4 · outbound

This paper cites Kleiman and A.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Kleiman and A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.338331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c9d3e349-9457-478c-a31c-4f6f5b1ccffc · outbound

This paper cites 8 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, second edition, 1989.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem 8 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, second edition, 1989

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.322376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 012e3f94-0c60-4e19-82a0-4d3bdab140c3 · outbound

This paper cites Peskine and L.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Peskine and L

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.305045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1da76232-fe0d-4b42-8125-030c70a73f8f · outbound

This paper cites Rees, Hilbert functions and pseudo-rational local rings of dimension two, J.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Rees, Hilbert functions and pseudo-rational local rings of dimension two, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.289310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ea858006-ef75-4116-b40b-f9fe777e1f66 · outbound

This paper cites Rees, Generalizations of reductions and mixed multiplicities, J.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Rees, Generalizations of reductions and mixed multiplicities, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.272127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 509de06e-3f90-4410-90a0-ab1105d0c4ee · outbound

This paper cites Rees, Reduction of modules, Math.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Rees, Reduction of modules, Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.255190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9fb42264-6176-4a67-81af-ab7c4981e823 · outbound

This paper cites Roberts, Multiplicities and Chern classes in local algebra, Cambridge Tracts in Mathematics, Vol.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Roberts, Multiplicities and Chern classes in local algebra, Cambridge Tracts in Mathematics, Vol

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.239068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8c4da880-e470-4ac2-b81d-a7c70ee7eea2 · outbound

This paper cites Simis, B.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Simis, B

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.223729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 37783537-a7a7-4514-9780-cb4eb6ce5a30 · outbound

This paper cites 336, Cambridge University Press, Cambridge, 2006.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem 336, Cambridge University Press, Cambridge, 2006

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:22:52.206862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 777f450c-1ed1-4507-8c58-62ce94ab473f · outbound

This paper cites an unresolved cited work.

Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:22:52.189979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.