Paper Citation Record · LEDGER

Variational principles using a non-symmetric non-triangular distance

As of 23 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2504.20575.

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

pith.paper-citation-record.v1
2504.20575 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:40:51.514226Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

verified exact10
verified fuzzy2
unresolved9
parse uncertain0
malformed identifier3
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f058c0c4-6b2e-4477-8831-13234af0c104 · outbound

This paper cites Blum and W.

Variational principles using a non-symmetric non-triangular distance Blum and W

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:40:52.004986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 56959f8a-d3a7-4f41-851c-af879a0283a0 · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-08-16T05:40:51.721231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9191a68c-292f-4ffc-b02b-5140910b5880 · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:40:51.991659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 09aab366-1273-48b3-b362-fc4915d1655f · outbound

This paper cites Brøndsted and R.

Variational principles using a non-symmetric non-triangular distance Brøndsted and R

Reference 4

Resolution: verified exact; doi, observed 2026-08-16T05:40:51.707914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3dff5569-86f1-4f0a-b57e-94d76e9607c7 · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-08-16T05:40:51.694680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7a525f57-59af-4dc3-b314-8011004418d0 · outbound

This paper cites Chaipunya, N.

Variational principles using a non-symmetric non-triangular distance Chaipunya, N

Reference 6

Resolution: verified exact; doi, observed 2026-08-16T05:40:51.680854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3c665a48-fc84-4126-abff-1174cb20b678 · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-16T05:40:51.432323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6375a800-8375-4beb-a697-f1037e928652 · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T05:40:51.436322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6cd77174-b6e2-4d34-af6d-d2dbc3c8bdb1 · outbound

This paper cites Cotrina, M.

Variational principles using a non-symmetric non-triangular distance Cotrina, M

Reference 9

Resolution: verified exact; doi, observed 2026-08-16T05:40:51.647573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b80b343b-a8a0-4868-9f3e-530bb8dac73e · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:40:51.978824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ffe6a579-edcd-41f0-b377-6e18d79a470e · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T05:40:51.448640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f5ca1ad-d7de-4f10-95b5-244302d5cfe7 · outbound

This paper cites Eshghinezhad and M.

Variational principles using a non-symmetric non-triangular distance Eshghinezhad and M

Reference 12

Resolution: malformed identifier; raw_fallback, observed 2026-08-16T05:40:51.964221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0ffcaa5c-be82-49ed-8c65-eb2ab8340a10 · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:40:51.949052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6b133495-5e97-43db-901c-29af1d55495d · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:40:51.934442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7de25778-84cf-4139-869b-dad8034e9a70 · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T05:40:51.466861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c4a00df-84d3-4207-91d1-28f18c569698 · outbound

This paper cites Jleli and B.

Variational principles using a non-symmetric non-triangular distance Jleli and B

Reference 16

Resolution: verified exact; doi, observed 2026-08-16T05:40:51.624240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c916d0fc-9b6e-4eae-b2d5-30ff883173bd · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:40:51.920164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 84c4b709-1883-4a75-b880-b8490d9dc887 · outbound

This paper cites Khojasteh and H.

Variational principles using a non-symmetric non-triangular distance Khojasteh and H

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:40:51.905000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation df228834-f687-44ba-95d0-85facd4d44ef · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 19

Resolution: verified exact; doi, observed 2026-08-16T05:40:51.594693Z

Source-reported events for the cited work

correction dated 2025-12-18. Source: crossref record 10.1016/j.jmaa.2025.130344->10.1016/j.jmaa.2015.11.009:correction, observed 2026-07-11T03:14:54.307067+00:00. This notice travels one citation hop only.

Observation b9fc80b8-d811-4020-a0b5-6f9a0093d026 · outbound

This paper cites Li and S.

Variational principles using a non-symmetric non-triangular distance Li and S

Reference 20

Resolution: verified exact; raw_fallback, observed 2026-08-16T05:40:51.818808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0669ca6f-c8b8-4f20-8182-bd22e5862ab0 · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 21

Resolution: malformed identifier; no resolver link, observed 2026-08-16T05:40:51.504770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd229f79-a560-41e0-982e-44c54cee4b5d · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:40:51.891201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a38959bf-aa5c-43c2-b894-e2db496e553b · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-08-16T05:40:51.561912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 076a0658-02c8-4567-9906-0332dcdce184 · outbound

This paper cites an unresolved cited work.

Variational principles using a non-symmetric non-triangular distance Unresolved cited work

Reference 9918

Resolution: verified exact; doi, observed 2026-08-16T05:40:51.609363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.