Pith. sign in

Paper Citation Record · LEDGER

Improved bound of graph energy in terms of vertex cover number

As of 19 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 1 inbound Pith citation observation for arXiv:2507.00798.

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

pith.paper-citation-record.v1
2507.00798 v1

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:27:55.456544Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:05:43.290958Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T19:05:43.332061Z

Reference resolution

5 of 5 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a958f01-3892-4feb-ade1-3c6e60182ec2 · outbound

This paper cites an unresolved cited work.

Improved bound of graph energy in terms of vertex cover number Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:27:55.563486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:27:55.436302Z digest=sha256:83dfe7f36c20aebe71526cc8dfa74c8597456a7696426f882362b8acad2646d3

Observation b80cea90-fc2b-42d6-9fab-82d5915f5808 · outbound

This paper cites 428 (2008), no.

Improved bound of graph energy in terms of vertex cover number 428 (2008), no

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:27:55.548018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:27:55.442187Z digest=sha256:4e8ac0925596e69d95dcbf181f26279db9694152d88a718310521e6df478fea3

Observation fb95fa24-a370-4d87-8c8c-7bb9c40ccdae · outbound

This paper cites 612 (2021), 1–29.

Improved bound of graph energy in terms of vertex cover number 612 (2021), 1–29

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:27:55.530963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:27:55.446896Z digest=sha256:217a72409ef608ae9082596e9a46e8b451369fc06009009ea1f3c28edd528e2f

Observation c9e59409-22f7-423e-82b8-957a04005ea1 · outbound

This paper cites 517 (2017), 207–216.

Improved bound of graph energy in terms of vertex cover number 517 (2017), 207–216

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:27:55.515321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:27:55.451565Z digest=sha256:9477d7bdbd6dd471dc83a2c3db0ec55db167f93d971f92dc3efcfbd59dcca099

Observation 43d4f9a4-ecc4-4b2c-bd3d-48c7a0b38a11 · outbound

This paper cites 549 (2018), 276–286.

Improved bound of graph energy in terms of vertex cover number 549 (2018), 276–286

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:27:55.498618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:27:55.456544Z digest=sha256:57e8f70c3143e84427c508e4d9fa1cc4cac6a1154c92286eeea8f9a30f5ff8e4

Pith citing papers

Observation 8e398c76-a6a7-494a-bd6a-77592ee8afcf · inbound

Extremal Graphs for the Energy-Independence Number Inequality cites this paper.

Extremal Graphs for the Energy-Independence Number Inequality Improved bound of graph energy in terms of vertex cover number

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-08T19:05:43.339214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-08T19:05:43.290958Z digest=sha256:ae62f70800466884fd6b5f99b0f5d439dc325c9ae79b5c3b5331f6ecb2f76d4e