Paper Citation Record · LEDGER

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals

As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2507.05700.

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

pith.paper-citation-record.v1
2507.05700 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:34:25.612794Z

measured 37 of 37 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

37 of 37 outbound references displayed

verified exact6
verified fuzzy12
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fe2197be-8308-44e2-a821-6da0c9176c08 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.946823Z

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.

Observation 39397d24-8420-49bb-99b5-ca02082bb54c · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.939714Z

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.

Observation 10ae2020-817d-4870-b5e9-82542ef7c514 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.932555Z

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.

Observation af2051c0-55c5-441f-91c4-c91b1a331bd7 · outbound

This paper cites Degree of $h$-polynomials of edge ideals.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Degree of $h$-polynomials of edge ideals

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:34:25.713177Z

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.

Observation a8aeb1f6-bbca-4aef-a384-deaf5c516318 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-08-06T19:34:25.658441Z

Source-reported events for the cited work

correction dated 2025-06-10. Source: crossref record 10.1007/s13348-025-00480-0->10.1007/s13348-024-00451-x:correction, observed 2026-07-11T02:55:49.065839+00:00. This notice travels one citation hop only.

Observation 6245b0bf-c2e2-4c02-a712-82a51638652e · outbound

This paper cites Asymptotic behaviour and stability index of v-numbers of graded ideals.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Asymptotic behaviour and stability index of v-numbers of graded ideals

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:34:25.701825Z

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.

Observation 8479e898-cee3-4e28-b2f8-180bcde76915 · outbound

This paper cites 27, Springer, Cham, 2020.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals 27, Springer, Cham, 2020

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.924808Z

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.

Observation 719149fb-6090-4e70-8354-da6d38897585 · outbound

This paper cites Algebraic Combin.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Algebraic Combin

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.917618Z

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.

Observation b71fadd2-82e2-4254-8d1a-ee7c4d78ca1a · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.910004Z

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.

Observation 579686f4-b2e5-4ca9-aeb0-5a8f750463c9 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.902761Z

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.

Observation fc288ea9-4dd8-448c-a4c7-f3dd32a9df37 · outbound

This paper cites Cooper, Alexandra Seceleanu, Stefan O.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Cooper, Alexandra Seceleanu, Stefan O

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.895357Z

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.

Observation 37401efa-0312-4e72-b269-1cf93af9bd26 · outbound

This paper cites Algebraic Combin.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Algebraic Combin

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.887642Z

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.

Observation cf97f921-0452-487b-9070-445de033a822 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.880002Z

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.

Observation 415df5bd-100e-47dd-995d-51f6ae31088f · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.871795Z

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.

Observation 67b8f7b0-bd36-4836-a6d4-6f7d62162ddd · outbound

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

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Asymptotic behaviour of the $\text{v}$-number of homogeneous ideals

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T19:34:25.557347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98d396a7-9dec-4aca-aa9e-ea117c534ceb · outbound

This paper cites Algebra Appl.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Algebra Appl

Reference 16

Resolution: verified exact; doi, observed 2026-08-06T19:34:25.651013Z

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.

Observation 373768ee-f554-4471-be49-88beba881759 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.864273Z

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.

Observation b142bbbc-1316-4721-8fcf-5cbfdc8fa0a3 · outbound

This paper cites Algebra 671 (2025), 61–74.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Algebra 671 (2025), 61–74

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.856890Z

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.

Observation 0669fcf1-b295-422f-83c4-6e8f5384d431 · outbound

This paper cites Grayson and Michael E.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Grayson and Michael E

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.848757Z

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.

Observation 202c90b5-492e-4066-bd60-49e7dfa95ed0 · outbound

This paper cites Villarreal, Induced matchings and the v-number of graded ideals, Mathematics 9 (2021), no.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Villarreal, Induced matchings and the v-number of graded ideals, Mathematics 9 (2021), no

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.840915Z

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.

Observation 5ea84892-1d1d-400f-9430-2ad698a15125 · outbound

This paper cites Algebraic Combin.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Algebraic Combin

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.833150Z

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.

Observation dff98722-c333-441a-9ec4-76e25fb61dd2 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.825199Z

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.

Observation 9cd9ceca-e5bc-4316-a640-2222afbd31ce · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.816415Z

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.

Observation 91d6cacb-af91-438d-b6bd-355771890162 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.807442Z

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.

Observation 4792ab0e-719a-4077-91db-fcdcc3264fc8 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.799061Z

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.

Observation 360216f5-8dc3-4fae-854f-9a827ccb5e74 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.790922Z

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.

Observation 71a026a7-c749-4d32-acde-b02a7ab61826 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.782655Z

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.

Observation a41fa21c-d74c-4baf-9bcc-3c0b1d4f1ba8 · outbound

This paper cites Villarreal, The v-number of edge ideals , J.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Villarreal, The v-number of edge ideals , J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.775007Z

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.

Observation 5224b3f9-7b72-4e3e-a3e5-8fc00ff2b77a · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.766692Z

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.

Observation 1d8e4f8b-4a8e-4358-8dbf-85f40a402aa4 · outbound

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

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals The v-numbers of Stanley-Reisner ideals from the viewpoint of Alexander dual complexes

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:34:25.680936Z

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.

Observation 9e7844d5-4eed-449a-9a7b-0373b374a507 · outbound

This paper cites Pure Appl.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Pure Appl

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.757220Z

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.

Observation acac1a53-640d-4f70-abf8-a994c7639355 · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.747682Z

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.

Observation 31915db3-01ab-4771-a7cf-ba0866ddc12c · outbound

This paper cites Binomial expansion and the $\mathrm{v}$-number.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Binomial expansion and the $\mathrm{v}$-number

Reference 33

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T19:34:25.669954Z

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.

Observation d83823cf-04c1-4a62-adec-b4c370b5e41a · outbound

This paper cites an unresolved cited work.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:34:25.738723Z

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.

Observation ec08d77a-226a-42e2-9229-b4c9943ee783 · outbound

This paper cites Algebraic Combin.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Algebraic Combin

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.730173Z

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.

Observation d351fa0d-a530-4ed4-8934-bafc685f87a1 · outbound

This paper cites Stanley, Combinatorics and commutative algebra , Second, Progress in Mathematics, vol.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Stanley, Combinatorics and commutative algebra , Second, Progress in Mathematics, vol

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:34:25.721810Z

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.

Observation 9cbebb44-17b3-4c5d-bcfc-cc404b9781f4 · outbound

This paper cites Vanmathi and Parangama Sarkar, v-numbers of symbolic power filtrations, Collect.

Comparing the $\mathrm{v}$-number and $h$-polynomials of edge ideals Vanmathi and Parangama Sarkar, v-numbers of symbolic power filtrations, Collect

Reference 37

Resolution: verified exact; doi, observed 2026-08-06T19:34:25.642214Z

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.

Pith citing papers

No inbound Pith citation observations are available.