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Paper Citation Record · LEDGER

Extremal values for the square energies of graphs

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2409.15504.

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

pith.paper-citation-record.v1
2409.15504 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:52:19.054514Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T23:37:27.097904Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 78345d2b-5273-42ce-b92e-c83c6e998d2f · inbound

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

Refinement of a conjecture on positive square energy of graphs Extremal values for the square energies of graphs

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T05:52:19.054514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:52:19.054514Z digest=sha256:1c7857d440f4086d450777f558745e39a583e6ca49517efe08a38764cb05748e

Observation 2ff493f4-e5c8-408c-880e-69dfad0626b5 · inbound

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

A graph energy conjecture through the lenses of semidefinite programming Extremal values for the square energies of graphs

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-05T05:13:49.902006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:13:49.902006Z digest=sha256:462f2c5f4b13252e5db57600bd7cdd7ac004df245845b692910beea17cc08f92

Observation fa26c8ce-7ea4-4755-a2e9-3055da8475d3 · inbound

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

Positive and negative 3-energies of graphs Extremal values for the square energies of graphs

Reference 12

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T08:32:52.154052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-10T08:31:40.099257Z digest=sha256:ce468c27a1daed1a26e958f83e4c5687fb7328b1b4dac6d7e0a954a69eba6322

Observation bde43fed-9dd4-47db-9d6e-214541bbbf29 · inbound

Path-Minimality of $p$-Energy for Connected Graphs cites this paper.

Path-Minimality of $p$-Energy for Connected Graphs Extremal values for the square energies of graphs

Reference 35

Resolution
malformed identifier
arxiv_id, observed 2026-05-22T03:54:34.071630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T03:52:10.533030Z digest=sha256:2d388cd3f94926053ae509502fed4f8844317e180ca12fb4f27012bea5aae226

Observation fad081b2-de9b-4e28-80bb-b8edd019d66b · inbound

Path-Minimality of $p$-Energy for Connected Graphs cites this paper.

Path-Minimality of $p$-Energy for Connected Graphs Extremal values for the square energies of graphs

Reference 35

Resolution
malformed identifier
arxiv_id, observed 2026-06-30T16:35:12.896898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T16:26:03.677518Z digest=sha256:5ab32d53181884e852475a731737237ed079429a0c697bd09ee011718e0fce56

Observation 7809b9f9-9734-45a3-b8cb-4a7777efcd4c · inbound

Path-Minimality of $p$-Energy for Connected Graphs cites this paper.

Path-Minimality of $p$-Energy for Connected Graphs Extremal values for the square energies of graphs

Reference 35

Resolution
malformed identifier
arxiv_id, observed 2026-07-02T23:37:27.099421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-02T23:33:38.453394Z digest=sha256:54bcf10a66d75a4b7d9672894b3741a1c6c8caf4b9ddffdf664f2f865cdfd8a4

Observation 95379ec8-b3a9-4c25-9cf6-c936a4081e92 · inbound

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

A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Extremal values for the square energies of graphs

Reference 19

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T13:04:39.921429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T13:02:26.916182Z digest=sha256:a0ffb74b21b844240e2ed6a6b138e0c42437fc42e56ff461adc3d9dbbb10a7e2

Observation e59e38ff-a915-4420-a792-184b77e5051f · inbound

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

Path-Minimality for Positive $p$-Energies, Laplacian-Type Spectra, and Line Graphs Extremal values for the square energies of graphs

Reference 20

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T12:55:44.622023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-01T01:31:58.471924Z digest=sha256:23f64e53d6b0361b5ba9551cc9123d29b204353d5eb31f61ff192580a81eb599

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

The positive and negative square-energy conjecture cites this paper.

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

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-01T16:26:17.220847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:26:17.220847Z digest=sha256:37e5df9676e645c09d604b7037c662c57a5e44f28e9905d97fa1300f61ace2d8

Observation d1ab1d7e-e7a2-4ed2-8094-57455cdc22e3 · inbound

A positive square-energy strengthening of Tur\'an's theorem cites this paper.

A positive square-energy strengthening of Tur\'an's theorem Extremal values for the square energies of graphs

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-01T16:25:45.653858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:25:45.653858Z digest=sha256:b801de0b350f88381b95c5cd01114c867e77ad49177aeee368609e677855158e