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Paper Citation Record · LEDGER

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2501.02912.

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

pith.paper-citation-record.v1
2501.02912 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:11:29.399905Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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 exact0
  • verified fuzzy8
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e750b73f-97a9-4009-bbf8-ab00766a1c10 · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:30.460949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 650bb5d1-5e11-4163-85c5-4ec0914a941b · outbound

This paper cites Leblond, D.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Leblond, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:11:30.427199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 248173ba-6876-402f-bfb8-eb0c0e0ad0db · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:30.398610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation cd17137e-06b5-4889-8c53-f5f5d606ba30 · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:30.359956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 04e503e2-54dc-45ed-8e66-1211ffdfa208 · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:30.318416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 693e583b-3058-4dfc-9f21-16a985651a3e · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:30.283207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9fb71985-9bbc-4f16-a726-97343a3bba93 · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:30.243590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c2634130-dbb4-4827-953d-dac81d152a45 · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:30.212405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 482dbe4c-d4e2-4fcb-b6f4-da7eae414de2 · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:30.162487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T22:11:29.212455Z digest=sha256:6221b0bb102fcfa000af5ceb9a2d0e7c6ecfd840f26cd0b801e2f12503aa1e48

Observation 90eddf95-3d23-498d-b044-b8747e0658fd · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:30.107490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 4e67bd7e-63fe-425e-8420-a22899871347 · outbound

This paper cites Oevel, B.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Oevel, B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:11:30.070571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 98a6f969-7685-4761-ab6f-8b30466f7c0b · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:30.033642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T22:11:29.237249Z digest=sha256:e4ecd22302bf80e0b5272b0303b5f3308790497ad4441fa32ab41530d512b631

Observation f16a36b5-92aa-487c-80e7-5383fb00d3e6 · outbound

This paper cites Fuchssteiner, Application of hereditary symmetries to nonlin ear evolution equations, Nonlinear Anal.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Fuchssteiner, Application of hereditary symmetries to nonlin ear evolution equations, Nonlinear Anal

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:11:29.983907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9978221d-d679-423c-be79-33deaad58662 · outbound

This paper cites Fuchssteiner, A.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Fuchssteiner, A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:11:29.950096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T22:11:29.265558Z digest=sha256:d6a4a66071afc9a52a8d4bcbff0312a36a2344fa46a85031a5702cf03272a7ab

Observation 6dc3356b-06eb-44f7-8414-bf6e766d7dd9 · outbound

This paper cites Fuchssteiner, Mastersymmetries, higher order time-depe ndent symmetries and con- served densities of nonlinear evolution equations, Prog.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Fuchssteiner, Mastersymmetries, higher order time-depe ndent symmetries and con- served densities of nonlinear evolution equations, Prog

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:11:29.908650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 11b768b1-c806-405f-ad6e-938ed54e47be · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:29.868170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T22:11:29.287577Z digest=sha256:0aeb17dd4d75d48dc0e9a51a7acc1ca68620d51bae544ea0b805d9cbc73a1149

Observation 09484bd8-defe-4fe0-bddd-878257312247 · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:29.821523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9d66c56c-697c-4f1d-af07-8261dc172e81 · outbound

This paper cites Gaillard, The mKdV equation and multi-parameters rational so lutions, Wave Motion 100 (2021) 102667.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Gaillard, The mKdV equation and multi-parameters rational so lutions, Wave Motion 100 (2021) 102667

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation cf8a9a93-1e60-48e4-b9fc-5f70463d06da · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:29.717444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 21f2bccb-68eb-4e0a-b6df-a5cf762a52d8 · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:29.665486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 1822ba37-3c46-401f-b733-8d8e0ee36a7b · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:29.622517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6a285f62-4ebe-446c-9a14-abf1d1ba660f · outbound

This paper cites an unresolved cited work.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:11:29.580116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6f104924-1163-4457-ac8a-1f78d91a4746 · outbound

This paper cites Wadati, K.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Wadati, K

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:11:29.529777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 76eec3d8-b87b-487a-a1fd-ece0dd2658d6 · outbound

This paper cites Zhang, B.

Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions Zhang, B

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:11:29.486967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.