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Paper Citation Record · LEDGER

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case

As of 10 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2608.07360.

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

pith.paper-citation-record.v1
2608.07360 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T05:44:54.454255Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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 exact5
  • verified fuzzy0
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7b683b4d-bdbc-477e-981e-3fa0e9532c40 · outbound

This paper cites The Moore bound for irregular graphs.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case The Moore bound for irregular graphs

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T05:44:54.402131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T05:44:54.402131Z digest=sha256:8eec6d1ea65f26fc92d4e85adb823dae1a024c47fc9b999517aab71fb8a1cfa7

Observation 959ee62f-3708-4a18-9df0-7e0e434e3ea4 · outbound

This paper cites an unresolved cited work.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-10T05:44:54.407105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T05:44:54.407105Z digest=sha256:30afa1e83ea3414c29ce34f1d29dd82a2c42a6e9cdfcfbf31025f3d1dbbfab22

Observation 87db64be-f9f8-4d9c-9200-1c0f4b361c6d · outbound

This paper cites Mem0: Building Production-Ready AI Agents with Scalable Long-Term Memory.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case Mem0: Building Production-Ready AI Agents with Scalable Long-Term Memory

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T05:44:54.411297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T05:44:54.411297Z digest=sha256:bcacededfb83cd925c16d6a32f795ad0d0c47864faf535f60b125d47dca8e166

Observation 55a1be74-8c46-4c4a-bee5-a5bdf04a5781 · outbound

This paper cites Algebraic connectivity of graphs.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case Algebraic connectivity of graphs

Reference 4

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-10T05:44:55.558285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T05:44:54.416391Z digest=sha256:c0d221ffdf9a7a453e75472922a8ba95dbc89c28a022b540a6565c1bdadcd7cf

Observation cf145f56-ffae-4824-8ccb-5d99fa904263 · outbound

This paper cites an unresolved cited work.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T05:44:54.421001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T05:44:54.421001Z digest=sha256:e1ce85b794dd3fbedb8e8c8652a140c6c7b920663a4d9759724ff32f092c9003

Observation 33a1ecb8-7124-45e7-b4bf-af99d388a0e3 · outbound

This paper cites Maximizing algebraic connectivity for certain families of graphs.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case Maximizing algebraic connectivity for certain families of graphs

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-10T05:44:55.363460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T05:44:54.426009Z digest=sha256:a235aaf1f7040aedd933b189433b998555d3e2b204edb37ed1cdf92286a9fda7

Observation ca86a389-b365-4884-bd4e-23139050df87 · outbound

This paper cites MerLean-Prover: A Recursive Looping Harness for Lean 4 Theorem Proving.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case MerLean-Prover: A Recursive Looping Harness for Lean 4 Theorem Proving

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-10T05:44:55.341613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T05:44:54.431365Z digest=sha256:87e4c8359e64e42e93d519f4440f2e2a1268c1d396ef1829c249fab60887514a

Observation ae7dc91d-d704-4494-921c-ab1f8bfd42c4 · outbound

This paper cites The Lean 4 theorem prover and programming language.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case The Lean 4 theorem prover and programming language

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-10T05:44:54.436144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T05:44:54.436144Z digest=sha256:8d36314c05468495493a9edd07540e472df06ad335c15dc98fdbd5c25d197b3f

Observation b74713c4-90e2-4ce4-a883-ab6490223ddb · outbound

This paper cites Maximizing Algebraic Connectivity in the Space of Graphs with a Fixed Number of Vertices and Edges.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case Maximizing Algebraic Connectivity in the Space of Graphs with a Fixed Number of Vertices and Edges

Reference 9

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-10T05:44:55.321513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T05:44:54.440545Z digest=sha256:f97aadecf686abf216266f1537d48fc771bc88ff86ff148e5853d747ea3ff73d

Observation 75e7f471-3a6a-403f-a01d-e906d5b3f973 · outbound

This paper cites an unresolved cited work.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-10T05:44:54.444972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T05:44:54.444972Z digest=sha256:8facc6e78fc0f6f41f96eb11ad01be393c293cc3ac193be20392c66841fede55

Observation ee7c7173-a9e2-412a-aab7-5b25ad76042a · outbound

This paper cites Algebraic Connectivity: Local and Global Max- imizer Graphs.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case Algebraic Connectivity: Local and Global Max- imizer Graphs

Reference 11

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-10T05:44:54.736174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T05:44:54.449306Z digest=sha256:4469be9308c57c8437ff17e88ba6baf141e4ddcd0a95fbd7ffac463694936c82

Observation bc4ede93-258d-4fd3-95fd-0ab92ba94ddc · outbound

This paper cites The Lean mathematical library.

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case The Lean mathematical library

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T05:44:54.454255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T05:44:54.454255Z digest=sha256:609aacf4371000a1e7af5d7292a32293b4c1337abb422517ff10349040a9b01b

Pith citing papers

No inbound Pith citation observations are available.