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Paper Citation Record · LEDGER

Powers of monomial ideals and the Ratliff-Rush operation

As of 19 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.10185.

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

pith.paper-citation-record.v1
1908.10185 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:12:54.654728Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

16 of 16 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d8b8436b-92ca-43d9-b35a-8f994a5c4c40 · outbound

This paper cites Al-Ayyoub , An algorithm for computing the Ratliff–Rush closure , Journal of Algebra and its Applications, 8 (2009), pp.

Powers of monomial ideals and the Ratliff-Rush operation Al-Ayyoub , An algorithm for computing the Ratliff–Rush closure , Journal of Algebra and its Applications, 8 (2009), pp

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:54.850028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.597295Z digest=sha256:fbc8bba685c6c485e827bcf209bf4e991c0d8d6c42242659d7133488b79afcfa

Observation 19dcca79-4395-4b6f-afd9-8a9ecc22161e · outbound

This paper cites Al-Ayyoub and O.

Powers of monomial ideals and the Ratliff-Rush operation Al-Ayyoub and O

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:54.838931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.602194Z digest=sha256:c98c99f47d435adb881ac88b7cf927d0c65ef8345eea2fd38caa36633e71e75c

Observation 98b1994b-cbb3-4d30-b3cb-136ebcffd733 · outbound

This paper cites Decker, G.-M.

Powers of monomial ideals and the Ratliff-Rush operation Decker, G.-M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:54.827967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.605959Z digest=sha256:fb0d6e83b1fc280fce54ebecd8e9494bb273e8223377d6caa772329c44d5f508

Observation 80b38667-e9d6-4e60-aa20-1ace628a9c6e · outbound

This paper cites Eliahou, J.

Powers of monomial ideals and the Ratliff-Rush operation Eliahou, J

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T11:12:54.609840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:12:54.609840Z digest=sha256:c8a9c1f3e724d63dc4fc7ed78c2a3c48438d26e0e4b792a4f3035829a1682fdf

Observation a71a9bf8-1d25-4871-af87-70cfeec8df32 · outbound

This paper cites Elias , On the computation of the Ratliff–Rush closure , Journal of Symbolic Com- putation, 37 (2004), pp.

Powers of monomial ideals and the Ratliff-Rush operation Elias , On the computation of the Ratliff–Rush closure , Journal of Symbolic Com- putation, 37 (2004), pp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:54.809929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.614540Z digest=sha256:972edf1d0649c30d808abb0ab30fcef34c8fc5a31ff4c062bddead1f70692c70

Observation 2fe1e3d5-eae3-4e13-abc3-b9f5088b3f24 · outbound

This paper cites Heinzer, B.

Powers of monomial ideals and the Ratliff-Rush operation Heinzer, B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:54.799809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.619152Z digest=sha256:691e7effc82694dca56a39d21d0cb3aa3077b3c1f1bef4a9375a011baaa4b527

Observation 7676c748-29f1-4112-92c2-9a1d63a1a852 · outbound

This paper cites Heinzer, D.

Powers of monomial ideals and the Ratliff-Rush operation Heinzer, D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:54.790184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.623094Z digest=sha256:98107ed9994e1d571a3dc198e141a1e6776666ca78ff4a95177cee784c4888c3

Observation 7fd3c807-feae-44af-91f2-3515cf5b4867 · outbound

This paper cites On the number of generators of powers of an ideal.

Powers of monomial ideals and the Ratliff-Rush operation On the number of generators of powers of an ideal

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:12:54.705008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.626436Z digest=sha256:eb566af685d7fa613fa9988bc6a34812990655c0c2cbf00f478cb0ae4f45b991

Observation 6752fdf9-4d79-488a-8e94-b3e49d818a09 · outbound

This paper cites Herzog and G.

Powers of monomial ideals and the Ratliff-Rush operation Herzog and G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:54.780698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.630466Z digest=sha256:b13330c9dab349dab349d25406cb34b860ff194c9fe898e1c32ed784129a1b38

Observation fc74edc3-2e9c-467b-ac36-f57a1ff8c3e2 · outbound

This paper cites K ¨allstr¨om, Liftable derivations for generically separably algebraic morphisms of schemes, Transactions of the American Mathematical Society, 361 (2009) , pp.

Powers of monomial ideals and the Ratliff-Rush operation K ¨allstr¨om, Liftable derivations for generically separably algebraic morphisms of schemes, Transactions of the American Mathematical Society, 361 (2009) , pp

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:12:54.770944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.633590Z digest=sha256:bff96fed26e2ea7ca29f2cdaa0a33392071c14181287c6ece7f82788534f6e88

Observation e7addf63-60e1-4afe-93d6-24d2ed7e6fad · outbound

This paper cites an unresolved cited work.

Powers of monomial ideals and the Ratliff-Rush operation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:12:54.760629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.637273Z digest=sha256:39c5d905b433e8ebbf2ae141c0ed689e5a406d35e5985cfcf1cfdbe6bd184717

Observation 1cf16ad1-a15c-449f-abea-0c15ec97dcb4 · outbound

This paper cites an unresolved cited work.

Powers of monomial ideals and the Ratliff-Rush operation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:12:54.750066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.640923Z digest=sha256:e5b58ef7d9439bebd6f0bffc000592a2c7161f814120609c40ef467ab19395c4

Observation 0a2f7aac-e5b5-4d5c-80e0-a606ff49570f · outbound

This paper cites an unresolved cited work.

Powers of monomial ideals and the Ratliff-Rush operation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:12:54.738282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.644729Z digest=sha256:cf6b941badbdf9e74064366e372fbcc7dda87ee54c0c5e019c76e24ae8b3c541

Observation c01382d7-ad5f-4092-b03a-0f90237019a4 · outbound

This paper cites an unresolved cited work.

Powers of monomial ideals and the Ratliff-Rush operation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:12:54.727054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.648160Z digest=sha256:f75236614d512c054c358cb42bac2ba4283ddc89460964bc9034601cec2b13ab

Observation 8a6d363b-5e11-4643-a798-1866aa227797 · outbound

This paper cites an unresolved cited work.

Powers of monomial ideals and the Ratliff-Rush operation Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:12:54.715792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.651537Z digest=sha256:6c0ffee307e816440fb502000b0413d52feacbc41c0867413b923a9ad872986b

Observation 33e3579b-d1b8-4507-8a41-5a09923a280c · outbound

This paper cites On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring.

Powers of monomial ideals and the Ratliff-Rush operation On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:12:54.690072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T11:12:54.654728Z digest=sha256:24c66f4fe3943bb21dd1204da416cc0abe7d5a25c85b4bac9b5daa22f08622d3

Pith citing papers

No inbound Pith citation observations are available.