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Paper Citation Record · LEDGER

Energy and independence number

As of 9 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2607.19817.

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

pith.paper-citation-record.v1
2607.19817 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:42:49.750918Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:05:43.277823Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T19:05:43.356715Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1d35fcdd-6005-4429-bf25-fe2d070ba43e · outbound

This paper cites A graph energy conjecture through the lenses of semidefinite programming.

Energy and independence number A graph energy conjecture through the lenses of semidefinite programming

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:47.552323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:47.552323Z digest=sha256:c293b234db1d12d5de8402ab714893a404aaeb350f5e52d02653a1bdd3300515

Observation 84677c3d-1f91-489b-8119-ab6f456aad2c · outbound

This paper cites Akbari, M.

Energy and independence number Akbari, M

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:47.698315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:47.698315Z digest=sha256:8cdc4ea29d99d29af30f25f74c091a425f18d970c10a05984ef54736bd472848

Observation 6757fadf-ca48-4fd2-8124-d06aee12a61a · outbound

This paper cites Akbari, S.

Energy and independence number Akbari, S

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:47.923487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:47.923487Z digest=sha256:0e24ff2d8d8f78425754df4c9ca04a52e15e92c3215580817491f3d6bb990688

Observation 2adb26e1-5069-4114-bbbc-2f4166d7052c · outbound

This paper cites Aouchiche and P.

Energy and independence number Aouchiche and P

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.069229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.069229Z digest=sha256:d8ac9d2ffdba08989eb26a2c33c6623a554c38cf08e2da97c14f081445797f80

Observation 39a6d278-7f63-4c1e-9ff4-81a96e60cde9 · outbound

This paper cites Some history of the development of Graffiti.

Energy and independence number Some history of the development of Graffiti

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.229750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.229750Z digest=sha256:94d7be926f6fea1e8cfd64fae876d625aef185d4869ff26ca35516443a70f068

Observation 9ceec39f-5125-4069-bfa5-c89b7f7294be · outbound

This paper cites Einollahzadeh and M.

Energy and independence number Einollahzadeh and M

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.429182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.429182Z digest=sha256:7455760d0587059fd0b0c670dce152cd4dbcbe5353d8585f2cbb948ae68f5649

Observation e919476d-be07-4938-b7f3-7b53a6f9fb62 · outbound

This paper cites On conjectures of Graffiti.

Energy and independence number On conjectures of Graffiti

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.569416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.569416Z digest=sha256:4a76604e86eae4d437bc7f6c4d6f76e6f9c82b9b8387c5e5c0a200b7da364579

Observation d5b91c06-ccb9-4a20-9ae5-70a0d15e9775 · outbound

This paper cites The energy of a graph: old and new results.

Energy and independence number The energy of a graph: old and new results

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.708101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.708101Z digest=sha256:2b77b74d8d188b8174867cb47f4ab428b8adc8ac48346d27c3a37aba0c65202a

Observation aa4b4e99-9736-42d9-86ea-b2be639a7027 · outbound

This paper cites Survey of graph energies.Mathematics Interdisciplinary Research, 2(2):85–129, 2017.

Energy and independence number Survey of graph energies.Mathematics Interdisciplinary Research, 2(2):85–129, 2017

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:48.849143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:48.849143Z digest=sha256:1ce646b19ec5088859e57f9181bfee601945fdf21a4a242fbed8b3d4655a1b08

Observation aef6e310-83ed-412c-a168-41fc58b78ef2 · outbound

This paper cites Horn and Charles R.

Energy and independence number Horn and Charles R

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.026809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.026809Z digest=sha256:a1e4c8d95ae84759fe45991dd5c0e7edd6a15811a7683283448912b024fcf839

Observation a334b530-3530-42ba-b6e5-56e56e6d1ce9 · outbound

This paper cites Unsolved problems in spectral graph theory.Oper.

Energy and independence number Unsolved problems in spectral graph theory.Oper

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.196356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.196356Z digest=sha256:a11703495224593f320cacbbfb8d65a66a151a36b8a9bdbd0497bdf69a7d4d3e

Observation 4cdc8641-4b88-4307-b9ab-48ba584f44f7 · outbound

This paper cites Nikiforov.

Energy and independence number Nikiforov

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.311400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.311400Z digest=sha256:3a871a10b8e7bc02e7327c693e73e04fc292c0c18d0765d9278d6ed87bad28ca

Observation 41659d08-136d-4918-9f6a-56848e2753fb · outbound

This paper cites Improved bound of graph energy in terms of vertex cover number, 2025.

Energy and independence number Improved bound of graph energy in terms of vertex cover number, 2025

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.519811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.519811Z digest=sha256:32bd9fdf46acb3c9b8aac8ebf3e512b7c6d835b6b30157e744ef93ab92417339

Observation 067a8a71-f2ed-4680-b44e-8a5cfdcf1122 · outbound

This paper cites Bounds of graph energy in terms of vertex cover number.Linear Algebra Appl., 517:207–216, 2017.

Energy and independence number Bounds of graph energy in terms of vertex cover number.Linear Algebra Appl., 517:207–216, 2017

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.638674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.638674Z digest=sha256:654fc47cce4a6d8110e948087414b074af673735006fe8e55e24f9aa3ea1e53d

Observation 7f01bcc1-7789-4c9e-b94e-bbb80794559c · outbound

This paper cites Springer, New York, 2005.

Energy and independence number Springer, New York, 2005

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T11:42:49.750918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:42:49.750918Z digest=sha256:239fa5edd3e394b36bf4d32cbe7edc82251ff5bedd56044f9e55894c8914aad1

Pith citing papers

Observation cccdd432-bfbe-4760-b8a0-0ece5f26e49c · inbound

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

Extremal Graphs for the Energy-Independence Number Inequality Energy and independence number

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-08T19:05:43.361833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T19:05:43.277823Z digest=sha256:52b5a1f2e2192ce16a071f6a67c8363c66eedb5c5ab90ff25ef3bab49f78029b