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Paper Citation Record · LEDGER

The positive and negative square-energy conjecture

As of 9 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.18031.

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

pith.paper-citation-record.v1
2607.18031 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:26:17.220847Z

measured 24 of 24 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 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

24 of 24 outbound references displayed

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External citation measurements

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Outbound references

Observation 3bf0902a-09d1-4006-b52b-25fbe8838e0e · outbound

This paper cites Abiad, L.

The positive and negative square-energy conjecture Abiad, L

Reference 1

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source=pdf_text observed=2026-08-01T16:26:15.024331Z digest=sha256:4ca5580d8094f5cf726309ba3922d14f282ec1adfb2c87c0a4b959f07c1a9107

Observation b3b17641-8f60-467b-95fe-7173a787a46e · outbound

This paper cites Akbari, H.

The positive and negative square-energy conjecture Akbari, H

Reference 2

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source=pdf_text observed=2026-08-01T16:26:15.128794Z digest=sha256:fad94ee8220df3814e2e16782c47fc60aea1ed2090bfc5d25d7ce37dc057869a

Observation 78312ff9-bf33-493e-ae44-b9ebd6fc90a0 · outbound

This paper cites Akbari, H.

The positive and negative square-energy conjecture Akbari, H

Reference 3

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source=pdf_text observed=2026-08-01T16:26:15.242278Z digest=sha256:271df3b3d62c542ad6d3f4b508f2652aa317942c49265372f39e7657628617e1

Observation eb69936c-3792-43d7-a8d9-b360259df9f2 · outbound

This paper cites Refinement of a conjecture on positive square energy of graphs.

The positive and negative square-energy conjecture Refinement of a conjecture on positive square energy of graphs

Reference 4

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source=pdf_text observed=2026-08-01T16:26:15.340095Z digest=sha256:15be8d98936a41b71849bb5abbd95bc7d142cfb9840e6e7c3888c53bc1e855a5

Observation d2d8d7ee-1182-4748-8ac7-093798ef1d95 · outbound

This paper cites Ando and M.

The positive and negative square-energy conjecture Ando and M

Reference 5

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source=pdf_text observed=2026-08-01T16:26:15.451328Z digest=sha256:c68f17dd3672527e9501fc6fb4f52bfa1fca2bea267104a7058ee3f7ab57eb41

Observation 137653bb-7b8e-42f0-89c2-459c250a3a6a · outbound

This paper cites Berman and N.

The positive and negative square-energy conjecture Berman and N

Reference 6

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source=pdf_text observed=2026-08-01T16:26:15.555763Z digest=sha256:cc113909bb433191bf75925c40e54e2b5a701d26ddcf9fc2a1b8acff317a7375

Observation b99d50d3-3c95-46c7-9fb4-d2d65a628d63 · outbound

This paper cites Positive and negative 3-energies of graphs.

The positive and negative square-energy conjecture Positive and negative 3-energies of graphs

Reference 7

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source=pdf_text observed=2026-08-01T16:26:15.686981Z digest=sha256:ac412b81988dd7542e1a2a31bcc3276cf78cdfbb3211db689eec57d303ddb330

Observation a910d746-f492-442b-a8f8-207d72d13d52 · outbound

This paper cites Sums of squares of eigenvalues and the vector chromatic number.

The positive and negative square-energy conjecture Sums of squares of eigenvalues and the vector chromatic number

Reference 8

Resolution
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source=pdf_text observed=2026-08-01T16:26:15.790886Z digest=sha256:6ee9188c5639cf64f51014ef395993fb2446b0178ba61545e555a2d8ed72cc7d

Observation 8a97db61-b1d7-4293-bada-02e8c3c41254 · outbound

This paper cites Conic programming to understand sums of squares of eigenvalues of graphs.

The positive and negative square-energy conjecture Conic programming to understand sums of squares of eigenvalues of graphs

Reference 9

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source=pdf_text observed=2026-08-01T16:26:15.884817Z digest=sha256:615069e1f4823fe27d94d08b77239c0a8ceaf602cea32c4827fdf57c9bde36dc

Observation a388fd0d-e4c1-4610-8908-b529f350f1ea · outbound

This paper cites Elphick and M.

The positive and negative square-energy conjecture Elphick and M

Reference 10

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source=pdf_text observed=2026-08-01T16:26:15.977617Z digest=sha256:d6646bb16519d56921489f88c3157d32045c82c0b583a252bbe2e6ed499916e6

Observation 11111816-0fb4-4e8e-8e54-6860a8b0dab9 · outbound

This paper cites Elphick, M.

The positive and negative square-energy conjecture Elphick, M

Reference 11

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source=pdf_text observed=2026-08-01T16:26:16.035300Z digest=sha256:5244236c975ad41c7e6aacd5c67887aad6982f132b11e821e5033c5cf934db0e

Observation 8b3e5f11-afba-4b70-8a65-2dae0cd0f2bc · outbound

This paper cites Elphick and W.

The positive and negative square-energy conjecture Elphick and W

Reference 12

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source=pdf_text observed=2026-08-01T16:26:16.079824Z digest=sha256:9857a2a5e7be75d7f9287c11314ec73ef3d1ab086f730f33ec4b20fc88578961

Observation ba496d85-bb40-403b-b9a1-fc6193b6ded6 · outbound

This paper cites Elphick, Q.

The positive and negative square-energy conjecture Elphick, Q

Reference 13

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source=pdf_text observed=2026-08-01T16:26:16.200179Z digest=sha256:4987cf6d3e4a5fae0df2a1d46ea72bd08f31f9c6fce81666e56a3161b124f301

Observation 86d99def-ec6e-4774-a2a4-7a4fd695aa0a · outbound

This paper cites Hong, A bound on the spectral radius of graphs,Linear Algebra Appl.108(1988), 135–139.

The positive and negative square-energy conjecture Hong, A bound on the spectral radius of graphs,Linear Algebra Appl.108(1988), 135–139

Reference 14

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source=pdf_text observed=2026-08-01T16:26:16.250563Z digest=sha256:0242e422ed2d959cd4c245f9dab5d95a0bad8ec8a981ae75e51ceb92d4ae5c8b

Observation d46a54b6-5451-401e-98b1-652435160ac9 · outbound

This paper cites an unresolved cited work.

The positive and negative square-energy conjecture Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-01T16:26:16.306863Z digest=sha256:8fe6935bd4174dd3048115791e6180d6a0ffea3fa43408a3b4a0d39f7bce1831

Observation 2c9448c9-755a-46bf-8c2f-f08782c3abd5 · outbound

This paper cites an unresolved cited work.

The positive and negative square-energy conjecture Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-01T16:26:16.419482Z digest=sha256:e5ab78ca04d64d740c111f7a93a03cf4c903bde0fecb8f11aee1184e506597f9

Observation 16efdb85-7982-462c-b3af-d49935c0e075 · outbound

This paper cites Liu and B.

The positive and negative square-energy conjecture Liu and B

Reference 17

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source=pdf_text observed=2026-08-01T16:26:16.564295Z digest=sha256:56da25bc0476673c84611c25a0f9ecaad6d3cc0fb55ac15d225e6e4130b89b46

Observation 9e78de0f-d794-4b68-a6c1-6e72c1a5debd · outbound

This paper cites Path-Minimality for Positive $p$-Energies, Laplacian-Type Spectra, and Line Graphs.

The positive and negative square-energy conjecture Path-Minimality for Positive $p$-Energies, Laplacian-Type Spectra, and Line Graphs

Reference 18

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source=pdf_text observed=2026-08-01T16:26:16.690931Z digest=sha256:5b27ae16bca75624177ad6ed68a505855237eb81e3ba1e090cd8460ea493fe5d

Observation 4d385a61-3936-4c6e-a8d4-0b946c1884f0 · outbound

This paper cites an unresolved cited work.

The positive and negative square-energy conjecture Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-01T16:26:16.778294Z digest=sha256:fc4970362bb07ebaae0c0b05871ec08e67afd274c860b37318c2a1cdc52296ee

Observation 037e819d-e46d-40ea-94ff-f86b20077896 · outbound

This paper cites A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs.

The positive and negative square-energy conjecture A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs

Reference 20

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source=pdf_text observed=2026-08-01T16:26:16.863853Z digest=sha256:ed40585ad81435a9c1841bc7e6310db26cc0ef3562955b6126ac73cf99ad7d8f

Observation c3e81031-a8a3-431d-ba87-a3e0c53cbe3d · outbound

This paper cites an unresolved cited work.

The positive and negative square-energy conjecture Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-01T16:26:16.933897Z digest=sha256:45aba061b4e4cca6f0364931241c6f663a8d69a318c3eee8230d8f7e14e5a40d

Observation fecdb20d-f238-4f2c-b78f-3caa54bcfee9 · outbound

This paper cites Vandenberghe and S.

The positive and negative square-energy conjecture Vandenberghe and S

Reference 22

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source=pdf_text observed=2026-08-01T16:26:17.050987Z digest=sha256:0c42be8d4684a6556d7a82ab3008bbd26656ec359b85bf7dfa3d449fb1c17f7f

Observation b77f0214-238f-412c-a599-5a8d17ba19d8 · outbound

This paper cites Wocjan and C.

The positive and negative square-energy conjecture Wocjan and C

Reference 23

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source=pdf_text observed=2026-08-01T16:26:17.144734Z digest=sha256:bebf1df3a1a1152efb9622eee0c4d947d68fe28ed8a27a268d5be897d35cb953

Observation abed7ed8-6442-45fd-93a0-4db53ca3f95e · outbound

This paper cites Extremal values for the square energies of graphs.

The positive and negative square-energy conjecture Extremal values for the square energies of graphs

Reference 24

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:17.220847Z digest=sha256:7e08ceea2201c3e2faa325e1c960f9383373b0909562494bcdd0d4f658102092

Pith citing papers

No inbound Pith citation observations are available.