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Paper Citation Record · LEDGER

The Multiset Dimension of Graphs: Extremal Values and King Grids

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.28813.

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

pith.paper-citation-record.v1
2607.28813 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T00:31:45.702677Z

measured 12 of 12 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 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

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 087059b1-4592-4e9c-825d-a5002659236c · outbound

This paper cites an unresolved cited work.

The Multiset Dimension of Graphs: Extremal Values and King Grids Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.649982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.649982Z digest=sha256:a41b84606779060c6a1c62923924f7e28d91fc6d92117da51316e027fd24b480

Observation 6e56c737-7443-4d52-98f3-c354de138578 · outbound

This paper cites Harary and R.

The Multiset Dimension of Graphs: Extremal Values and King Grids Harary and R

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.655945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.655945Z digest=sha256:fcfead8e54158bc51ca5e034d63296595697de9009f395354c16f99d060b1cd4

Observation 00f9fe81-aedc-498c-bb2f-5e008320ade1 · outbound

This paper cites The multiset dimension of graphs.

The Multiset Dimension of Graphs: Extremal Values and King Grids The multiset dimension of graphs

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.660780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.660780Z digest=sha256:43b444a65482dad59d6ab164013e9e2bd8922734750d378e701c902030de5716

Observation 89f31c82-1660-4f43-8790-74ab07ce8a32 · outbound

This paper cites Multiset Dimensions of Trees.

The Multiset Dimension of Graphs: Extremal Values and King Grids Multiset Dimensions of Trees

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.665848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.665848Z digest=sha256:4ddfcbd68cb0caa609a6c5efcc1e5690cf474e3fb14ed5d3f026e46f6aadd272

Observation d70ad4f0-d226-4144-8989-db4a9c447dce · outbound

This paper cites Hakanen and I.

The Multiset Dimension of Graphs: Extremal Values and King Grids Hakanen and I

Reference 5

Resolution
verified exact
doi, observed 2026-08-03T00:33:27.150449Z

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.

source=pdf_text observed=2026-08-03T00:31:45.670818Z digest=sha256:b60fe11a195cf20896034183dea8b2eb010afe029427e21ad900a2d6f60b9b0d

Observation 78e3105a-985a-43dc-bee9-54675a0a702e · outbound

This paper cites Khemmani and S.

The Multiset Dimension of Graphs: Extremal Values and King Grids Khemmani and S

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.675632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.675632Z digest=sha256:479bdc9db01fb359a7e4c7955a19a0ca73b4bd8b665c18ba2821ffd47130c967

Observation 8a6e2157-c275-47a1-bf9f-00f857884898 · outbound

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

The Multiset Dimension of Graphs: Extremal Values and King Grids Multiset resolvability parameters in graphs: A survey with new results and open problems

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.680885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.680885Z digest=sha256:ebded20ef5aa2f1baf4bdbd3173d74132d11b60cdfbbcd218f3466d71aa27492

Observation 876f7d6f-1401-4622-bf5b-2e031dda80d4 · outbound

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

The Multiset Dimension of Graphs: Extremal Values and King Grids A Survey on Multiset Dimension and Its Variations

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.685355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.685355Z digest=sha256:00536e718bf3d175e1109276ca5defe48fc8de5abc13ddff56b2e90b3ebf0150

Observation 85df0813-fbb4-439c-b25c-747f452606ec · outbound

This paper cites an unresolved cited work.

The Multiset Dimension of Graphs: Extremal Values and King Grids Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.690091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.690091Z digest=sha256:4f29e9b4f318cff69632480e0f6f2b8e4bdee77b7afd73de20dc6e55cddf5c85

Observation ac3188f2-9065-4612-85e1-c15d7b8ad2c9 · outbound

This paper cites an unresolved cited work.

The Multiset Dimension of Graphs: Extremal Values and King Grids Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.694268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.694268Z digest=sha256:dd5916df11da2d756ae7d9295a2171f4cb173c015746623a4e0f15a146ed2efd

Observation 90e2e7fd-d137-483c-851b-c26de09eeae2 · outbound

This paper cites it/(accessed July 2026).

The Multiset Dimension of Graphs: Extremal Values and King Grids it/(accessed July 2026)

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.698609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.698609Z digest=sha256:7c3b6990a57cbcfc95feb989175e51d98a5a77f0cc6425e5adb4b3a703b71300

Observation b86f704a-2e15-451b-9a5b-2dbb49187da2 · outbound

This paper cites an unresolved cited work.

The Multiset Dimension of Graphs: Extremal Values and King Grids Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T00:31:45.702677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:31:45.702677Z digest=sha256:64cf02d5e4ea6e529c5f9c2b89a5df9c5360ccd9a827645ef707e1a2bbd074df

Pith citing papers

No inbound Pith citation observations are available.