Paper Citation Record · LEDGER

Novel Approximation of the Modified Mild Slope Equation

As of 8 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2506.19854.

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

pith.paper-citation-record.v1
2506.19854 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:40:01.108750Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

43 of 43 outbound references displayed

verified exact0
verified fuzzy20
unresolved23
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a5ab9576-7071-4bac-94c8-322e59315109 · outbound

This paper cites merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Novel Approximation of the Modified Mild Slope Equation merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T05:40:00.985060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25c85c9b-5019-464e-99ff-b2fa6e8d3859 · outbound

This paper cites merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Novel Approximation of the Modified Mild Slope Equation merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T05:40:00.989586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45689665-67d9-42df-abc8-cc4609d82c74 · outbound

This paper cites merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Novel Approximation of the Modified Mild Slope Equation merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T05:40:00.993151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce0b1c7c-9fee-4c06-9fc1-0c593135da43 · outbound

This paper cites merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Novel Approximation of the Modified Mild Slope Equation merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T05:40:00.996910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05318958-402c-4e87-81fa-63916cde75c5 · outbound

This paper cites merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Novel Approximation of the Modified Mild Slope Equation merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T05:40:01.000858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54a8d65b-16fe-4de2-b9c0-c5ae26b5fc22 · outbound

This paper cites , " * write output.state after.block = add.period write newline.

Novel Approximation of the Modified Mild Slope Equation , " * write output.state after.block = add.period write newline

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T05:40:01.004956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2ffdec4-2214-4322-bb42-24208e514420 · outbound

This paper cites write newline.

Novel Approximation of the Modified Mild Slope Equation write newline

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T05:40:01.008582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2491596-3389-4520-a2d6-2056b879e787 · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.500864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 222cf230-cc45-49e9-b525-9cfffecad54e · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.493324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bd6423cd-28ab-4754-ab0c-1d1fbce702f8 · outbound

This paper cites Li \ and\ author C.

Novel Approximation of the Modified Mild Slope Equation Li \ and\ author C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.485695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 44b26203-bc66-4773-9649-7c069350c209 · outbound

This paper cites Garnaud \ and\ author C.

Novel Approximation of the Modified Mild Slope Equation Garnaud \ and\ author C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.478274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 44b1c5f3-f61a-4260-a16e-5215b5190dea · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.470873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 27fed078-8f31-4cea-bb10-ef98fd736a3f · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.463513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3b67e785-81b5-44bf-83ef-f595609fd9ae · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.456076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4ec50599-e735-4bc6-a2d4-36cdfa661d8d · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.448970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8f0087e0-5ec6-4e90-90f8-0f1c39854f15 · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.441159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a99470cc-75a5-4763-ba61-3e1a8d7dc17b · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.433914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0590813a-9b7f-40de-bb8b-f60ec8b1b521 · outbound

This paper cites Shi , author J.

Novel Approximation of the Modified Mild Slope Equation Shi , author J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.426733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0b95619c-1ea4-45b0-8d57-27e4f4051836 · outbound

This paper cites Liu , author Y.

Novel Approximation of the Modified Mild Slope Equation Liu , author Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.419411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 568f01ae-92cc-4864-a5a5-456484b2435c · outbound

This paper cites Xiong , author S.

Novel Approximation of the Modified Mild Slope Equation Xiong , author S

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.412088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5c223124-7c34-4b20-8a87-c45bbbcf1d71 · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.404949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6811ea35-052f-40bd-a599-2b27d642e09b · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.397394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e2c31b72-da91-4037-9bea-a9691816a6c6 · outbound

This paper cites Smith \ and\ author T.

Novel Approximation of the Modified Mild Slope Equation Smith \ and\ author T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.389999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7f8fd137-3ca6-4aa1-bf44-b4707f98f785 · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.382488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 12c06c3a-f20e-4914-b432-6a1b87619734 · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.375036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4d71729d-4add-4af9-a71e-ea55ba28df1a · outbound

This paper cites Chamberlain \ and\ author D.

Novel Approximation of the Modified Mild Slope Equation Chamberlain \ and\ author D

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.367958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4cbb4e6b-43cc-42a5-b2d3-4c3fbbeadca1 · outbound

This paper cites Porter ,\ title title The mild-slope equations , \ @noop journal journal Journal of Fluid Mechanics \ volume 494 ,\ pages 51--63 ( year 2003 ) NoStop.

Novel Approximation of the Modified Mild Slope Equation Porter ,\ title title The mild-slope equations , \ @noop journal journal Journal of Fluid Mechanics \ volume 494 ,\ pages 51--63 ( year 2003 ) NoStop

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.360621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2f808250-8278-402d-bbd6-36050f7cb700 · outbound

This paper cites Porter ,\ title title The mild-slope equations: a unified theory , \ @noop journal journal Journal of Fluid Mechanics \ volume 887 ,\ pages A29 ( year 2020 ) NoStop.

Novel Approximation of the Modified Mild Slope Equation Porter ,\ title title The mild-slope equations: a unified theory , \ @noop journal journal Journal of Fluid Mechanics \ volume 887 ,\ pages A29 ( year 2020 ) NoStop

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.352908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 452c1643-ef47-4c7e-b0f7-7801ba63272c · outbound

This paper cites \ Hsu , author L.-H.

Novel Approximation of the Modified Mild Slope Equation \ Hsu , author L.-H

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.345005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 61eda78b-e624-48a0-b9b1-ce26def9061e · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.336986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 33558882-aa33-470b-bca0-1d441e5a7c15 · outbound

This paper cites Davies \ and\ author A.

Novel Approximation of the Modified Mild Slope Equation Davies \ and\ author A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.329176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 50c6924b-37a7-4d6a-a258-70e2fa171bc2 · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.321326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9c3b8468-f651-4db1-9cf1-cb075664e548 · outbound

This paper cites Chamberlain \ and\ author D.

Novel Approximation of the Modified Mild Slope Equation Chamberlain \ and\ author D

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.313636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 99265860-4272-407b-aa66-41b66c316bab · outbound

This paper cites \ Liu , author J.

Novel Approximation of the Modified Mild Slope Equation \ Liu , author J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.305912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d3ebe3b5-fd7f-4c65-9008-b58df6c1fddc · outbound

This paper cites \ Liu , author D.-J.

Novel Approximation of the Modified Mild Slope Equation \ Liu , author D.-J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.298334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 16a85680-7b2e-4364-8197-48b014be0788 · outbound

This paper cites \ Liu , author H.-D.

Novel Approximation of the Modified Mild Slope Equation \ Liu , author H.-D

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.290805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3bc34271-582c-436d-aade-65b611a5f76b · outbound

This paper cites \ Liu , author W.-J.

Novel Approximation of the Modified Mild Slope Equation \ Liu , author W.-J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.283049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c33eefe7-f958-4f00-8955-3c398954b29a · outbound

This paper cites \ Liu \ and\ author X.-M.

Novel Approximation of the Modified Mild Slope Equation \ Liu \ and\ author X.-M

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.274348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9a7ee776-5f71-4d1e-8fbe-16ba584abf4b · outbound

This paper cites Porter ,\ title title An extended linear shallow-water equation , \ @noop journal journal Journal of Fluid Mechanics \ volume 876 ,\ pages 413--427 ( year 2019 ) NoStop.

Novel Approximation of the Modified Mild Slope Equation Porter ,\ title title An extended linear shallow-water equation , \ @noop journal journal Journal of Fluid Mechanics \ volume 876 ,\ pages 413--427 ( year 2019 ) NoStop

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.265395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b3d66221-8b38-4dfe-a9b8-4ea3dbef19f8 · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.256681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dc5eb889-2995-4913-9c2e-d6afb8a9ccac · outbound

This paper cites Booij ,\ title title A note on the accuracy of the mild-slope equation , \ @noop journal journal Coastal Engineering \ volume 7 ,\ pages 191--203 ( year 1983 ) NoStop.

Novel Approximation of the Modified Mild Slope Equation Booij ,\ title title A note on the accuracy of the mild-slope equation , \ @noop journal journal Coastal Engineering \ volume 7 ,\ pages 191--203 ( year 1983 ) NoStop

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.247942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 55b544ed-49dc-4c15-87e0-5d7786450c4e · outbound

This paper cites Roseau ,\ @noop title Asymptotic wave theory ,\ Vol.

Novel Approximation of the Modified Mild Slope Equation Roseau ,\ @noop title Asymptotic wave theory ,\ Vol

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:40:01.238903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ff2975ea-db4b-4423-8ef4-78354d8d430b · outbound

This paper cites an unresolved cited work.

Novel Approximation of the Modified Mild Slope Equation Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:40:01.228492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.