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Paper Citation Record · LEDGER

A regularized continuum model for traveling waves and dispersive shocks of the granular chain

As of 19 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 1 inbound Pith citation observation for arXiv:2411.17874.

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

pith.paper-citation-record.v1
2411.17874 v2

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:51:50.540950Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T21:44:56.769912Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T21:45:05.460788Z

Reference resolution

54 of 54 outbound references displayed

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External citation measurements

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Outbound references

Observation 5417fc0c-2e27-44f6-8e93-aab55958950f · outbound

This paper cites an unresolved cited work.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 1

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Observation 019b3722-1d33-47c5-ae7d-9e9f878e1257 · outbound

This paper cites El and M.A.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain El and M.A

Reference 2

Resolution
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This paper cites an unresolved cited work.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 3

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 4

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Observation 6ee78282-eb09-4880-aff6-1eaf4b96e65f · outbound

This paper cites Nesterenko.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Nesterenko

Reference 5

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Observation 82dceb04-6441-47f3-a5d5-8c7db5e325de · outbound

This paper cites Hascoet and H.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Hascoet and H

Reference 6

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 7

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 8

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Observation 440dfdb7-6a39-4091-a3d8-45f5dff6a1a1 · outbound

This paper cites Molinari and C.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Molinari and C

Reference 9

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 10

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Observation a8e4d4eb-2bc7-4e93-9eb4-caa8fdbe8819 · outbound

This paper cites Chong and P.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Chong and P

Reference 11

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Observation e792d468-17f9-459b-8d88-b05ebb2b4bee · outbound

This paper cites Starosvetsky , K.R.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Starosvetsky , K.R

Reference 12

Resolution
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This paper cites Chong, Mason A.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Chong, Mason A

Reference 13

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 14

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Observation 9fa99a5a-1ada-4bed-93d9-a20f0264efef · outbound

This paper cites Fleischer.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Fleischer

Reference 15

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Observation 4a942e35-9af6-4f2d-b2a7-480bac78c4fa · outbound

This paper cites Observation of ultraslow shock waves in a tunable magnetic lattice.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Observation of ultraslow shock waves in a tunable magnetic lattice

Reference 16

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 17

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Observation e8d55229-9d17-45f2-a827-568cd12ee46e · outbound

This paper cites Dreyer, M.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Dreyer, M

Reference 18

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 19

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Observation 6b9246e4-4707-4b0e-98bd-556cf6dfe821 · outbound

This paper cites Biondini, C.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Biondini, C

Reference 20

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

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This paper cites Dispersive hydrodynamics of a discrete conservation law.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Dispersive hydrodynamics of a discrete conservation law

Reference 23

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This paper cites Kevrekidis.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Kevrekidis

Reference 24

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Kevrekidis, and Gino Biondini

Reference 25

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Yasuda, C

Reference 26

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 27

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Chong, P

Reference 29

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Compactons and chaos in strongly nonlinear lattices

Reference 30

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

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A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 33

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Source-reported events for the cited work

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This paper cites Gallavotti.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Gallavotti

Reference 34

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Source-reported events for the cited work

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Observation 509ea413-c94d-4d39-b413-f234af4b4725 · outbound

This paper cites Sulem and P.L.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Sulem and P.L

Reference 35

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Source-reported events for the cited work

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Observation 053cd5d1-93ad-4f64-bdb0-8bab38474036 · outbound

This paper cites Hochstrasser, F.G.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Hochstrasser, F.G

Reference 36

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Source-reported events for the cited work

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Observation db6a3fb4-abe0-4a6f-9675-477f85dbfdc2 · outbound

This paper cites Chatterjee.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Chatterjee

Reference 37

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation fac657e7-91b9-4cf8-a5e2-f7cfa824f8d3 · outbound

This paper cites English and Robert L.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain English and Robert L

Reference 38

Resolution
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raw_fallback, observed 2026-08-12T11:51:50.816026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.485346Z digest=sha256:4e544933e422f2df994fd5892f7d8b1bba3fddee7a4cabef256a154463e80f73

Observation 481a9234-8221-4bff-be02-6d1fea7cd28a · outbound

This paper cites an unresolved cited work.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:51:50.806232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.488753Z digest=sha256:53bbb21b7b9a4f1204eedf5b0c459445f60626a289a3be645daaea6119c1d014

Observation 9188666a-0292-44ec-803f-5f57f986c84c · outbound

This paper cites Partial differential equations: An introduction.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Partial differential equations: An introduction

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:51:50.796775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.492522Z digest=sha256:8c6a4e6dd9482861d9f20a57b5dc2bf67d99d1e9f05803d0668551967b8869df

Observation 474de673-ccb0-460b-9edd-7ecae34ce17c · outbound

This paper cites an unresolved cited work.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:51:50.786828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.496548Z digest=sha256:800d4afa570a216553cd3f2437697189c9a147cee240a22a8996668f15b1713b

Observation c1619f9d-edce-4876-a016-e89e77939476 · outbound

This paper cites an unresolved cited work.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:51:50.776500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.499896Z digest=sha256:c1db89df76c789166fa5e989fa495107eba2516473532eaf2237f331a4993a71

Observation 22d0e3b6-4a2a-4202-b3f6-dcd2a8b4b6cb · outbound

This paper cites Nonlinear Periodic Waves and Their Modulations.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Nonlinear Periodic Waves and Their Modulations

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:51:50.765024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.503334Z digest=sha256:252cc563e836e2677bcb353c92454c41e36d9c892eebdf9276d24c7637ac4c14

Observation 78dd1852-0d7f-429b-aff1-6652e814035a · outbound

This paper cites an unresolved cited work.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:51:50.754737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.506781Z digest=sha256:b8785136d553cd4c5109a42cba03f8e838f233b26aa58d3059340afee3478527

Observation d7338818-3fdc-44ab-9c57-d96201835359 · outbound

This paper cites an unresolved cited work.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:51:50.744307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.510194Z digest=sha256:468dabf52da60a6429e394c243453733df20d8e535f32b3c4ffec60609592677

Observation dbb73dc5-8700-40e9-8a51-52ae9c53f5c0 · outbound

This paper cites an unresolved cited work.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:51:50.733407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.513520Z digest=sha256:985e830821166bfebc96e35696b138366fdb662568b51ae51efc0699047decc9

Observation 4f6af65c-0a16-44ea-9b19-64e004f05a24 · outbound

This paper cites Uniform asymptotic expansions for the fundamental solution of infinite harmonic chains.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Uniform asymptotic expansions for the fundamental solution of infinite harmonic chains

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:51:50.722091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.516806Z digest=sha256:fc1676e3ca3f960889e51d3d38326efbfee2a28147b98c7c7696c41b67af2d8b

Observation f40cca2d-340d-4203-9289-3bc3bd0a7d20 · outbound

This paper cites an unresolved cited work.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:51:50.710531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.520261Z digest=sha256:7a272ed3fae3bfc44ec22db24f9cdf66964122116525c718cc5d480ded786352

Observation 89ee936e-0a04-4a65-a8e0-c25a6e92bb19 · outbound

This paper cites Venakides, D.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Venakides, D

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:51:50.698546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.523553Z digest=sha256:f33a97da9515b73121ef24d7580bc794e5f5fa90f8f407bb7e2e1090c8d2177a

Observation 267ddd61-5850-495d-96c7-0dd8f82f40f4 · outbound

This paper cites Chong, Y.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Chong, Y

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:51:50.687297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.526982Z digest=sha256:6e3acd605d42e354e6ac3786db7f495c41832819f8e419117b09afa183e65de2

Observation bb4f5d3f-1eb8-44a9-8122-e69cd7584bb8 · outbound

This paper cites Leonard, F.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Leonard, F

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:51:50.675831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.530438Z digest=sha256:cb87c1084962dd6071dcc25975e9a159fb67af70e2978f0468585ed37cf784c6

Observation 17c05a7a-2a7a-455e-81b0-ecc6945aa4af · outbound

This paper cites Leonard, C.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Leonard, C

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-12T11:51:50.534012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T11:51:50.534012Z digest=sha256:65eb6fd4ffed45b007b4b0759f3e366520c58a26318403cd26e0ac5ce2ceaf92

Observation 4cdc50af-154f-428d-b9e7-f08d8b5d4f8a · outbound

This paper cites Leonard, C.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Leonard, C

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-12T11:51:50.537652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T11:51:50.537652Z digest=sha256:d90f20c0b20baac7e398befca192f6d508fddffe3a046e0e3c4f91879b17dbea

Observation 1712cef0-f460-4f23-8c53-4299a74264b5 · outbound

This paper cites an unresolved cited work.

A regularized continuum model for traveling waves and dispersive shocks of the granular chain Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:51:50.651743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T11:51:50.540950Z digest=sha256:f5160528cf012c5911ae5c202803709f4303012bdd49297565dcc77e13ff572c

Pith citing papers

Observation 25e1f588-9468-4483-806d-7f5efb1b7c18 · inbound

Whitham modulation equations for the regularized Boussinesq equation with cubic nonlinearity cites this paper.

Whitham modulation equations for the regularized Boussinesq equation with cubic nonlinearity A regularized continuum model for traveling waves and dispersive shocks of the granular chain

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-06-30T21:45:05.462170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T21:44:56.769912Z digest=sha256:d83ab22bcda8c2b4460ff7d7a3cc2417ceb60680da7cb69e996b761b69dd2b8d