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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=sha256:9dae254fe1e48a6195fd65972b242b05d4073ffca0bcaeee91272f4bd4320874

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:f4982b9b28bfb7295b8f78f75d8715dfe5fb919cdeb3e37da514a68ace22a0dc

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:d7d7744e0a557b461fa2ea7ac450e783defea1ef287b2c67c60bd6a7d1058ab3

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=sha256:5b18fc20643a7145adebbb93546d478b749458ae34208656826aa1913b45b279

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=sha256:916987814c13dc7cb3a8b21ffaf881727fe5ac7cc02c25565b183cb3904a076f

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:abe84b35a1fd4f2bd80aacf8bf8b17d0fba702861d27d6bc44634fc88ba5c7b4

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=sha256:160a83b17f6223ecef91c8157fb89ae31bad7697af9fbb7d6ab76e6fe9879c64

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:e1279798045a347fead10cd513ba735ddbe5224667ac0ed671e7bce070db4932

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:ac86631ee282d5268278da0487c0c60e0e98cca58cb2035da6e67c09ceb19c28

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:f0eafe13a243a65b446ae5c7fce9b97cfbd84408e8879a2b7ff486f271b0a335

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:fd2d625aa49aaf168ae04bb75476cbc08284011fb38a319838ec42076fca64a5

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=sha256:2c5871ea0918944f2e64e6c6f928be7fa5e6d4075c2626c5f1e29574d5e21ac6

Pith citing papers

No inbound Pith citation observations are available.