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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.690912Z digest=sha256:c1caa3e047989f28b5dd2e604bdc229d950264a9ffe1a75dd3733d58fb0709e7

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:b82132193ec34821755a28cde7aa2098d61c1b23358c117bcb52b745350972ef

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.698347Z digest=sha256:a01187a2aa946c6971e1e6f39b56710a34387a0f0ad30b4968080a7a8eb0fb8c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.702505Z digest=sha256:67c1b5ce7ea46307d0a30ba6ca5dfb4c15dfbeae9eed26cbfd359a2040b09730

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.706009Z digest=sha256:db160ae8b72f5cfc0de486cdbb3f8baa490decaac7b2eeca9ed35e0165606a6b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.710136Z digest=sha256:3db1e2b82b409af0e9695bfb89e72d11f7f650123d6fef7d91b5cd39b47e912a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.713589Z digest=sha256:78f4a54c2971232a2bc895db1d3179e591af516909382e029aaf88fa839d4b33

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.716873Z digest=sha256:245f07d3a42500587a96bf7cf2ddfbe6cd53e78ce8119e999e7c3edb9d259a4b

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=sha256:5c0d490381b7c4e6824caadac1c1b29b735de0688955940d6c3d43e799b3561b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.724217Z digest=sha256:d1aa8eb2277b5c19c34b6ce1a051c526eab111a04362387f5a7f16127e6c58a7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.727891Z digest=sha256:c1b4bbbced8b4a0c0784aae820b17e3c22ecc4c7f8f81e7aca71ab02104ec449

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=sha256:33db3126ecc1a9573e3eac89898958fa57b33f19f20b7d370fa806e1412b373b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.739954Z digest=sha256:c8b271a906d7fe577092b6c474b8af939a64b585ed2cea3856564fdc26864978

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.743358Z digest=sha256:661ba26eb50d6bcd9b726c2bb0d5605fdc49a98724951aeb13e35ff3021b0d4e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.746762Z digest=sha256:93ac4e28679b194141c0ba6507f4d8a55771a4ae8fc6af67e7527d64e73567fe

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.750514Z digest=sha256:63b48c004eb9f63c488ae526bbc9d62b9e19c1ca1df13709648f39a585494d24

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.753977Z digest=sha256:ebc436e49cc17baec2d6adaf6344b6e865eaae2aa7d9597f84fbacaf251a847c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.757679Z digest=sha256:a12d3c81e38ed36df5aa718f16e76b07f26f9b3e57f36f9767dc2b9cd1c97f74

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.761145Z digest=sha256:8046b957793841765011dac213f0c4afcb7a9f271f21378da8dfd29dfb22475f

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=sha256:596393ca3d70eee9d1a43de2981d176af4d6387bf39ce717ca7ac14814c697fc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.768627Z digest=sha256:9733187b6c5f84413e8a19a3019e6dd57568680e8b9b252d4d305f5fbfcf3f8c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.771866Z digest=sha256:bcfbebd79ad603b38f4952266ff7d9b94d0154d37354cfd069aedd7b76999e1c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.776163Z digest=sha256:f2b05e80b871c4df6b7da173b2880f5a2545842e5a751f1b267cf4bd976b222d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.779501Z digest=sha256:e6f76270f23113b68b5a8bc9443b3fb0f5973f18b73daf022c2c8979ba66ae6f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.783959Z digest=sha256:dca9662e1e6c5c7e36fd60a1d84ff0ee2cc2d5c089eb2d39bfab6b65a3cca38c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.788084Z digest=sha256:14b53784c4d21b6714d03ca8df724126b54d82dfb9440f1e5983f35df9a80096

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:15:08.791926Z digest=sha256:0408dd6b597a260b22c3016f93277132c71ec3990cd2961405e8ca0a6a3f380b

Pith citing papers

No inbound Pith citation observations are available.