Paper Citation Record · LEDGER

The size of the spanning-tree spectrum of simple graphs

As of 13 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2605.25088.

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

pith.paper-citation-record.v1
2605.25088 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T23:42:33.543146Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

19 of 19 outbound references displayed

verified exact2
verified fuzzy0
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aa17ef03-f572-4b9a-bed7-46648d8311c6 · outbound

This paper cites The spanning tree spectrum: improved bounds and simple proofs.

The size of the spanning-tree spectrum of simple graphs The spanning tree spectrum: improved bounds and simple proofs

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-29T23:44:02.868066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0f7d2643-73be-4e7c-be76-ac539b74ca77 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a0931da-6e3d-459b-bab5-fdfd6e961e70 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac21b08a-e013-4752-bee9-e84c1860a442 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3305049-d216-45ca-9eb1-e9c4e29d40b7 · outbound

This paper cites 6346, Springer, 2010, pp.

The size of the spanning-tree spectrum of simple graphs 6346, Springer, 2010, pp

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a40f620a-9ea2-48bc-b80f-279bd2735d47 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1e16c56-3ef8-4a2b-8413-c9112b55691b · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71c152c1-8745-41b7-8e5d-5de5aaeaa8d4 · outbound

This paper cites THE SIZE OF THE SPANNING-TREE SPECTRUM OF SIMPLE GRAPHS 13.

The size of the spanning-tree spectrum of simple graphs THE SIZE OF THE SPANNING-TREE SPECTRUM OF SIMPLE GRAPHS 13

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e761cfa7-b5d5-4077-b6bf-c7d31b52fec7 · outbound

This paper cites Spanning trees and continued fractions.

The size of the spanning-tree spectrum of simple graphs Spanning trees and continued fractions

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-06-29T23:44:02.870582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 602b3749-dad0-4cd1-b97d-4530130a7afd · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation daa21fbe-7469-40c5-b835-ec10dd13d5d1 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5983a01f-b59c-4b48-a91a-0959bb822643 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00508768-9bbd-4332-b5a6-096ed458f459 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72589630-a5b1-4014-86c0-76920031b790 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc5789c9-c6ec-40f3-81ab-3d03c91b4f47 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 182e5ad0-d14a-4584-af43-21bd01aa892f · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4578258-fb00-46f3-8ce6-d25d14a20ca6 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f59cb49d-7ea5-4f3a-b796-c413586b3969 · outbound

This paper cites an unresolved cited work.

The size of the spanning-tree spectrum of simple graphs Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2a7d6eb-1c90-4274-aab6-2c225f2e37bc · outbound

This paper cites Department of Mathematics, Statistics, and Computer Science, University of Illinois Chicago, Chicago, IL 60607, USA Email address:visheshj@uic.edu.

The size of the spanning-tree spectrum of simple graphs Department of Mathematics, Statistics, and Computer Science, University of Illinois Chicago, Chicago, IL 60607, USA Email address:visheshj@uic.edu

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T23:42:33.543146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.