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Paper Citation Record · LEDGER

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

As of 13 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

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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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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

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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

Reference 21

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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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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

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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

Reference 32

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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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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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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 2026-08-13T06:32:02.005865+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
verified fuzzy
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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.485346Z digest=sha256:c7cee758389a2c18b06be0113663cd047b700a8890fd7c4564eb18e51831d2cc

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.488753Z digest=sha256:0a9025e875b2ece1f6ca5f8925d03e62dff3d2d9ca654c51f0da5e98c19c99a3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.492522Z digest=sha256:439d42fdbc5646eb8299d2516f321f1d2b8efafdd7a5653fcb51631efc428fa5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.496548Z digest=sha256:92be7067a3f88ca35bc37becc22ff384c2f060da3d58c0e684f9519c9b0afbe7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.499896Z digest=sha256:7921d1aa9a38593d12cf2166e80d93739053f729516c445b8297e1398390c1b4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.503334Z digest=sha256:db85f4661cabda46b5155a90cdd635b0712c4348b64746b8220c7a5babd21ef2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.506781Z digest=sha256:a0b96038e2f93355040ec243680c312aebbbccf3ff8fbe2b415144df424f4f19

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.510194Z digest=sha256:72e8e327232f87c35b6474a994a32f45f9d0c84d642a2913580d24c166a667b3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.513520Z digest=sha256:2831297465169237a1a169100fbe8d3dbba383cfbf9a91e5e183529b88c0225e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.516806Z digest=sha256:7689982c4676568f64020213bd3c2929a950532a2b1875e60b3474dbd384cb71

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.520261Z digest=sha256:1d41442d77a54890e046fd90f93e8f6bcd4d5242b3e610b1962de13fd3a71f15

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.523553Z digest=sha256:7c14673fafb065da7e3d180441abf7d9a09c0669fa38617b701b38965826e7a9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.526982Z digest=sha256:84c2249974c52157995c04afebbf0c72ffba1c3efb488a8ebb721db83f0036a1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.530438Z digest=sha256:c02617f614229471cf48c1dc8709eb952012723451556a599fbb252d36b317ec

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=sha256:595724b7e37f0bf65cd352a97dbb5e5ccb082578b53d3e793c4cec11c02e7405

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=sha256:6bc816058a5074c57ff1df15d9bb8d7f8473c21d9da2048a4fb34c4ebb2dd0d2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T11:51:50.540950Z digest=sha256:6508f824126d812bc4941d84cc999224e93ea07077dcc760d3d57b2da86cfd17

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-30T21:44:56.769912Z digest=sha256:6a6785851a9f2de823ad3b03b34b896ac01c5e7d80cd495b820cd067039c234c