Paper Citation Record · LEDGER

Local (Outer) Multiset Dimensions of Graphs

As of 8 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 2 inbound Pith citation observations for arXiv:2507.15071.

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

pith.paper-citation-record.v1
2507.15071 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:55:35.084531Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T12:43:11.445008Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-10T12:47:05.596828Z

Reference resolution

9 of 9 outbound references displayed

verified exact0
verified fuzzy7
unresolved1
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0c1ab1cc-b907-482f-8ea5-9b4a6fe1df25 · outbound

This paper cites write newline.

Local (Outer) Multiset Dimensions of Graphs write newline

Reference 1

Resolution: malformed identifier; no resolver link, observed 2026-08-06T15:55:34.448210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecfa8b99-c4aa-465d-9fa9-e7932e5fb8f6 · outbound

This paper cites , Melter , R.A.

Local (Outer) Multiset Dimensions of Graphs , Melter , R.A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:55:36.662280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0c187bfa-0acd-48e7-9ad0-a10bfd5510a3 · outbound

This paper cites , Melter , R.A.

Local (Outer) Multiset Dimensions of Graphs , Melter , R.A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:55:36.516503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d4f38203-44c1-4ee4-8315-c4df54195ebc · outbound

This paper cites , Phinezy , B.

Local (Outer) Multiset Dimensions of Graphs , Phinezy , B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:55:36.244354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8344a577-9fb1-46c2-9290-ee1e8913aebe · outbound

This paper cites The multiset dimension of graphs.

Local (Outer) Multiset Dimensions of Graphs The multiset dimension of graphs

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T15:55:34.763092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcda944f-54db-469c-868e-6d2cf038f36b · outbound

This paper cites , Ramírez-Cruz , Y.

Local (Outer) Multiset Dimensions of Graphs , Ramírez-Cruz , Y

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:55:36.038170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 51ac7e0e-2d4a-4501-801e-e3f6e408fb9d · outbound

This paper cites , Kuziak , D.

Local (Outer) Multiset Dimensions of Graphs , Kuziak , D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:55:35.828374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 971e8eef-61b0-4473-8d8b-26b902ca5797 · outbound

This paper cites , Dafik , Kristiana , A.I.

Local (Outer) Multiset Dimensions of Graphs , Dafik , Kristiana , A.I

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:55:35.589216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 014872b0-fa9c-4c4e-9574-b158aa841fbf · outbound

This paper cites , Cynthia , V.J.A.

Local (Outer) Multiset Dimensions of Graphs , Cynthia , V.J.A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:55:35.318425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 242d0977-df6c-44b2-8c99-e0a491e99d46 · inbound

A Survey on Multiset Dimension and Its Variations cites this paper.

A Survey on Multiset Dimension and Its Variations Local (Outer) Multiset Dimensions of Graphs

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-07-10T12:47:05.598105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b108cfd7-b695-4685-8ae4-08d121037e41 · inbound

Multiset resolvability parameters in graphs: A survey with new results and open problems cites this paper.

Multiset resolvability parameters in graphs: A survey with new results and open problems Local (Outer) Multiset Dimensions of Graphs

Reference 52

Resolution: unresolved; no resolver link, observed 2026-07-14T12:43:11.445008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.