Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T22:22:52.128893Z
Paper Citation Record · LEDGER
Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem
As of 17 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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
- malformed identifier0
- metadata mismatch0
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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.
Observation 8c4da880-e470-4ac2-b81d-a7c70ee7eea2 · outbound
This paper cites 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
No inbound Pith citation observations are available.