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Paper Citation Record · LEDGER

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals

As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2506.09051.

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

pith.paper-citation-record.v1
2506.09051 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:15:08.791926Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

28 of 28 outbound references displayed

  • verified exact4
  • verified fuzzy15
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e3b1916e-da98-4c02-a1aa-84a33e4ce731 · outbound

This paper cites an unresolved cited work.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Unresolved cited work

Reference 1

Resolution
verified exact
doi, observed 2026-08-07T05:15:08.852700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 3764e91d-a597-4601-8df9-24b08ce615d7 · outbound

This paper cites Beyarslan, H.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Beyarslan, H

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:09.127149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.690912Z digest=sha256:b68451c1797315cdca2169a80ab581d13f2110cb1740a60e2ca48dce4bd2a790

Observation 241d2166-4b7f-4447-9654-c33ec25dbb0c · outbound

This paper cites Biswas and M.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Biswas and M

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T05:15:08.694589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:15:08.694589Z digest=sha256:b2d97c6e2f7aec5e783e0823586509ad357e16deaccd99d8806ecc694f94cb18

Observation fd2c99d2-159f-4ebc-9328-8350c0ad1189 · outbound

This paper cites Bruns and J.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Bruns and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:09.116717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.698347Z digest=sha256:66f8f9335ca1d5406642bc73e2acac5892d45786f31f31ce323ee547ad610805

Observation a6bb9cba-d4b9-4149-b600-fbb2e0bfdbf6 · outbound

This paper cites Civan, The v-number and Castelnuovo-Mumford regularity of graphs, J.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Civan, The v-number and Castelnuovo-Mumford regularity of graphs, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:09.106626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.702505Z digest=sha256:14d53b1ae7db3a73624cf65330ccd13b400fa269a8d45004dac51863730deb03

Observation be8581f6-283d-453d-826f-ad69f1b33366 · outbound

This paper cites Conca, A note on the v-invariant, Proc.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Conca, A note on the v-invariant, Proc

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:09.095985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.706009Z digest=sha256:5ae331845753c6ab3203ca9a4039a075889fea3b357a5f1287328312bd09318a

Observation e1e3c5b3-77be-4c1f-b8c0-ea202d0b8699 · outbound

This paper cites an unresolved cited work.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:15:09.084240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.710136Z digest=sha256:0cbb8d73dad03fda3ec2e5051c19d2ffd80cd89cf9c01538b698bffb64d731b9

Observation 9e043e14-c5b9-46cd-931d-bfa3fee35b8f · outbound

This paper cites an unresolved cited work.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:15:09.073881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.713589Z digest=sha256:c2d1967201364bd5353f88aa0fd6e611b0fe210e7a9a1c22dda77ec06750361e

Observation 7b66d0d3-945f-4569-b4fb-a41b7ead8952 · outbound

This paper cites an unresolved cited work.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:15:09.063782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.716873Z digest=sha256:b71efdc435b55bf485f51322330c7e96d56ea3bcd4aa5045cbff888733b6c5a4

Observation a1d97952-8f2e-48d5-ac55-02b63b2eedb1 · outbound

This paper cites Asymptotic behaviour of the $\text{v}$-number of homogeneous ideals.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Asymptotic behaviour of the $\text{v}$-number of homogeneous ideals

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T05:15:08.720349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:15:08.720349Z digest=sha256:eeff6d89d26cebedb94051309738e956021f30f5860944c4d1ddae820a89132d

Observation b8ea8ba8-8833-499f-820d-1fe738ab5dc2 · outbound

This paper cites Ficarra, Simon conjecture and the v-number of monomial ideals, to appear in Collect.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Ficarra, Simon conjecture and the v-number of monomial ideals, to appear in Collect

Reference 11

Resolution
verified exact
doi, observed 2026-08-07T05:15:08.832481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.724217Z digest=sha256:b9a14060cf4f7b275879315950a6e2c3a550905c063af09e2c937cdc11228533

Observation 5f56ddf5-97e4-44cc-a5be-a2a019c0f28c · outbound

This paper cites The $\text{v}$-function of powers of sums of ideals.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals The $\text{v}$-function of powers of sums of ideals

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:15:08.898704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.727891Z digest=sha256:69148a77819162f5ec579b11c3bbbc8a18dda1dcb7da5e7454a7b413fc81e977

Observation 2cb91c5f-42f6-4412-a267-287cda399400 · outbound

This paper cites Ficarra and E.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Ficarra and E

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T05:15:08.731703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:15:08.731703Z digest=sha256:a652035351d463b5af0ce6aa3ae40254d884480f40f15191299a8ab2a71a220f

Observation cd7abb07-7344-4fc4-aefe-a518b7cc5edd · outbound

This paper cites Grisalde, E.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Grisalde, E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:09.042749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.739954Z digest=sha256:40b6f4fe688a5bde9107099b4fef1065777cea3d6d3bc1931a75f5d9ccebfb83

Observation e256f781-3292-4194-a33b-6c6f350808ab · outbound

This paper cites and Villarreal, R.H., Rees algebras of filtrations of cov- ering polyhedra and integral closure of powers of monomial ideals, Res Math Sci 9, 13 (2022).

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals and Villarreal, R.H., Rees algebras of filtrations of cov- ering polyhedra and integral closure of powers of monomial ideals, Res Math Sci 9, 13 (2022)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:09.031786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.743358Z digest=sha256:a949f9ebc391e411be54b298010da8f854b1da5518bd4972cedfb22a39818781

Observation c6a5f563-1640-4612-8bab-2e7ab47fc209 · outbound

This paper cites Grisalde, J.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Grisalde, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:09.020800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.746762Z digest=sha256:9eca7613fc666c192554e91933a1645865add4f0e0d419114857f82497a57e4d

Observation aba55684-ef05-4bee-83b1-69652af081aa · outbound

This paper cites an unresolved cited work.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:15:09.009439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.750514Z digest=sha256:c2e7808e2914e534e53cb81f573daa124356f90dfc5c180be649d67a5ba933f8

Observation 575e631c-50bc-4671-a477-b03b41c13be0 · outbound

This paper cites Herzog and T.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Herzog and T

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:09.052836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.753977Z digest=sha256:252cafed6707567a686e155aa9ef7caec6f67e8020abb87221e95688317a39bf

Observation b2a99152-d0cc-4f25-96b5-12bb63400640 · outbound

This paper cites Jaramillo and R.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Jaramillo and R

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:08.998764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.757679Z digest=sha256:7f3cf88c032df00c93dbc24818b57cd89b09096e406e428ac718fb24019a1cb1

Observation 23d7954d-c1c5-47b8-b54f-9ea22b762aff · outbound

This paper cites Jaramillo-Velez and L.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Jaramillo-Velez and L

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:08.987931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.761145Z digest=sha256:e82ee892ddaa1b2d592e4fa71063cda3e2e3a478151643301ca524eb510b1f90

Observation 3bbdb314-ced9-47e8-bd49-5e3526626074 · outbound

This paper cites The v-numbers of Stanley-Reisner ideals from the viewpoint of Alexander dual complexes.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals The v-numbers of Stanley-Reisner ideals from the viewpoint of Alexander dual complexes

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T05:15:08.764726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:15:08.764726Z digest=sha256:f4472b746a6d423c22bc7d5082ef1305912d2559c4f156a72b6633efe3f86cbe

Observation 421324f9-99d8-45ac-bd6e-3ac113199459 · outbound

This paper cites Kumar, R.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Kumar, R

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:08.976601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.768627Z digest=sha256:9956c8a241e56d8be078b17bd6812d7ce2a0478b5959d249de60b81b001b45fb

Observation 920d9e6a-b770-44d2-aee1-a988dae4ff0b · outbound

This paper cites Stability of Associated Primes and Depth of Integral Closures of Powers of Edge Ideals.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Stability of Associated Primes and Depth of Integral Closures of Powers of Edge Ideals

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:15:08.870717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.771866Z digest=sha256:97488b910bbe05f0dc09290986a10447cc0cf1b00999b79d798c9d64cba5cdfa

Observation f07d1e4a-c1fc-4412-a786-16fe88d91136 · outbound

This paper cites Reid, L.G.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Reid, L.G

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:08.964455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.776163Z digest=sha256:d27be275e8983f6320c595ad23370e4d6bc5371d93570113d15b86882d6677ed

Observation e8f5a24d-46d5-4ec8-aeeb-915a2e8060ee · outbound

This paper cites Saha, The v-Number and Castelnuovo-Mumford Regularity of Cover Ideals of Graphs, Int.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Saha, The v-Number and Castelnuovo-Mumford Regularity of Cover Ideals of Graphs, Int

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:08.953799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.779501Z digest=sha256:1acdd7218a74a548281dd5c8acd59756d86437421ad358dcdc446db78bb9696d

Observation 3ea0a37c-de5c-4b5a-b0b2-09ea43d64635 · outbound

This paper cites Swanson and C.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Swanson and C

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:08.942802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.783959Z digest=sha256:b15b8c45a1d63086a919ba82afa3b35480430b6eb38daf45c8f9c881b67d8435

Observation 9a4c9893-67fa-460f-a463-980bb7af94df · outbound

This paper cites Saha and I.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Saha and I

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:15:08.930960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.788084Z digest=sha256:77130196ca8d80b75968e917540eed7bb0d4cd27cf1d2fc22c54cc268db330fa

Observation 5c1831bc-d6de-41fc-a6b9-c8f756f6c7af · outbound

This paper cites an unresolved cited work.

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:15:08.920597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:15:08.791926Z digest=sha256:8b30bd4d5b59efd4b3ff539b6f04dfcef39a097041ee67c9b7e0bfe6709d97ad

Pith citing papers

No inbound Pith citation observations are available.