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Paper Citation Record · LEDGER

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice

As of 14 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2507.07571.

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

pith.paper-citation-record.v1
2507.07571 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:42:51.095604Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T02:55:46.036225Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T03:04:14.094879Z

Reference resolution

45 of 45 outbound references displayed

  • verified exact1
  • verified fuzzy29
  • unresolved15
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4095f0ef-dd24-447b-a70f-6163dae2e704 · outbound

This paper cites Nesterenko.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Nesterenko

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 268cc3a1-134e-43de-bef2-5d308477d9b6 · outbound

This paper cites Chong and P.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Chong and P

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 36a4ace2-af25-4d23-bc31-30914deaa740 · outbound

This paper cites Starosvetsky , K.R.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Starosvetsky , K.R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:43:02.324746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 9fb667ee-ca48-43ba-8bda-ff33cb83ed50 · outbound

This paper cites Chong, Mason A.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Chong, Mason A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:43:02.110235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 37d96b0c-b393-4fc5-8609-5a340b2fac61 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 5

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c43cf75b-333a-4740-811b-d1a87f44e79d · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:43:01.565288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 198a8d15-b5df-4b8e-a241-dd8976656d44 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:43:01.367683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8409883f-3f62-4381-a1f8-5ce34f1fe8c7 · outbound

This paper cites El and M.A.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice El and M.A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:43:01.028285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 7480eb40-cd0a-4214-b811-862e8e4b2d57 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:43:00.811644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 15385092-72f9-4bf8-bd6f-cc6bd1d19307 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:43:00.578981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c1317af0-2f22-41b7-8fb0-a1be33948725 · outbound

This paper cites Molinari and C.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Molinari and C

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:43:00.303194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5bbb589f-41d8-4b15-99fe-b9cafdfd2b4e · outbound

This paper cites Fleischer.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Fleischer

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:43:00.068562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 02c5fe02-3adf-417d-a6ff-7ac2a9742b02 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:59.826248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation aa03808f-d072-4180-90d8-4752699cae2f · outbound

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

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Observation of ultraslow shock waves in a tunable magnetic lattice

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:59.548578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a8f8f701-1703-4ea8-b0fe-50a7d56f1aa0 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:59.311764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8d291d3c-3def-4d50-8491-281c8119a923 · outbound

This paper cites Dreyer, M.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Dreyer, M

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0b531e6b-1cee-4471-84f2-75bbf3258258 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:58.767032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 001115b5-79f8-4fb3-8523-2541689639c4 · outbound

This paper cites Kevrekidis, and Gino Biondini.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Kevrekidis, and Gino Biondini

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 2026-08-14T06:32:32.682623+00:00.

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Observation 30bc063a-1bd9-4276-bcb9-0f8b7b50af14 · outbound

This paper cites Biondini, C.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Biondini, C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:58.257652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation db1e57f7-6b81-489a-a50f-5be15ae2fa6c · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:58.006822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1fe8236c-245f-49f0-a1c2-dbbbb02c79ea · outbound

This paper cites Dispersive hydrodynamics of a discrete conservation law.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Dispersive hydrodynamics of a discrete conservation law

Reference 21

Resolution
verified exact
raw_fallback, observed 2026-08-06T18:42:51.381132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c3ee7536-e189-454d-82bb-a5d0c409ef0e · outbound

This paper cites Kevrekidis.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Kevrekidis

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:57.712515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 396cec39-f617-49e0-bb60-1b62d9bfeaaa · outbound

This paper cites Fermi, J.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Fermi, J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:57.415481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ec1126ef-68eb-43a8-89a8-df8b2b650b85 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:57.161598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f6963a3a-f8bd-4562-8031-223a022c5233 · outbound

This paper cites Gallavotti.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Gallavotti

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:56.927558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 40e0edba-0e10-4470-b260-a6b42b7110ce · outbound

This paper cites Porter, Norman J.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Porter, Norman J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:56.607995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 61820ae6-3fb8-4a0d-8728-e6b253736bbc · outbound

This paper cites Friesecke and R.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Friesecke and R

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:56.359140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 43c87001-db93-424f-aeb4-321fb71212fd · outbound

This paper cites Friesecke and R.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Friesecke and R

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:56.050281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 70f5dd6f-0cb0-4927-8f9b-030dee00593e · outbound

This paper cites Friesecke and R.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Friesecke and R

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:55.838211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:48.954153Z digest=sha256:0617b69466f9b91682f71f6ca6b7f8983786f82f10e4a39eaa7d079d9a6f7f8d

Observation 1e93422f-9b7d-468d-9203-d642b9151579 · outbound

This paper cites Friesecke and R.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Friesecke and R

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:55.600147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ec93253e-e0f2-47de-b3c3-dfbe85b55fb4 · outbound

This paper cites James and D.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice James and D

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:55.316318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation fd540ff7-1844-4e97-93ce-0718bc06e2ca · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:55.115926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:49.376868Z digest=sha256:74ccc02fd5e19258a590b3bcb1fb6669300ecc906ba638b7081db10bc55f84a3

Observation 2ea79718-5517-4d49-9cc8-76de6db70b58 · outbound

This paper cites Kevrekidis, and Gino Biondini.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Kevrekidis, and Gino Biondini

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:54.868661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:49.512064Z digest=sha256:0e380a67ecb3417ac3ec14f21fabaf71e4813d06a3b1d32b2229f6f35a75c63d

Observation e4d2981e-e154-40cf-9fb4-e6072204c188 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:54.630769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:49.655451Z digest=sha256:035f6267624399fc71607eb1476418fee339cf15fee5eb5fc813ff21d4396a91

Observation 210816fe-8c8a-46e9-a958-d2fc6d134b60 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:54.335537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:49.797510Z digest=sha256:f7c10d58b69c2adb39b6ac0c96c62617f7ea93e0b56c7a199f348e96ebb2b7ff

Observation be2cfa6b-6fd0-45f6-b967-140e76eecb85 · outbound

This paper cites Trefethen.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Trefethen

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:54.019702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:49.902246Z digest=sha256:e4fa5b9a3beb87219b7cdcabe56d0957d954d114d2c834261d8872d14e760d92

Observation f47e92bb-5184-48b5-bb70-58a1140b4439 · outbound

This paper cites Compactons and chaos in strongly nonlinear lattices.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Compactons and chaos in strongly nonlinear lattices

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:53.722371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c4bce1ca-4f16-4f31-a6de-ebe602b87b28 · outbound

This paper cites Hochstrasser, F.G.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Hochstrasser, F.G

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:53.442322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:50.184369Z digest=sha256:383aca39115f52f230381dc85c05a479b9f4aae9028ec3cbad3aa93a9c3f362c

Observation c6cd074b-16c3-47c1-9dfd-7413b70dbb57 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:53.182309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:50.348552Z digest=sha256:0a6b407e7eb83ca81e8e6a817420dc2f1d27088eb11db6bd00309d2d51efd29b

Observation a5de71d2-2f93-4913-af1e-413af1f8b9e0 · outbound

This paper cites an unresolved cited work.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:42:52.894467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:50.491465Z digest=sha256:a2af88b035e0cc488504793bbddac7cb260669d5fcb915f6c5b85ee6501bd96c

Observation 57b88720-82fe-497a-9e2e-b6d1b3a90a6b · outbound

This paper cites Chong, Y.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Chong, Y

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:52.652122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:50.604947Z digest=sha256:6e5f05acb669bec475a3bbf3843b614fcaea21893484c22729e6ddd7f7d7379c

Observation 88215cdf-0b81-49b0-bb85-afc36ac0febb · outbound

This paper cites Leonard, F.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Leonard, F

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:52.399545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:50.719423Z digest=sha256:8d867f26443c3cbd3930ff219e6962fc0e5acf54d29ef8169322cb9db13ba867

Observation c2d9b0de-e444-4e5b-a589-f0befc7f37fa · outbound

This paper cites Leonard, C.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Leonard, C

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:52.132859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:50.857267Z digest=sha256:eb502a1fe16a571fe0e2c299bff01463eb13a0dbf81c3087f6113b8dca82ff7c

Observation ee3aab98-2f0e-4af9-8273-e714049390a7 · outbound

This paper cites Leonard, C.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Leonard, C

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:51.892599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:50.965832Z digest=sha256:c48502a6a4db1c88355f22c3f4de2d8b789ab61ddab1bfc17a4ae51f7964946a

Observation b3adfd4f-535b-475a-a6fa-4c702781f440 · outbound

This paper cites Ablowitz.

First-order continuum models for nonlinear dispersive waves in the granular crystal lattice Ablowitz

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:42:51.646700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T18:42:51.095604Z digest=sha256:b8cd72a0fff6a2fd574a4e898bc8c39b514dae5b2789fbebcd0e0bf9814ed63c

Pith citing papers

Observation 885c7f7f-3018-4f29-a409-d49a754a5428 · inbound

Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice cites this paper.

Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice First-order continuum models for nonlinear dispersive waves in the granular crystal lattice

Reference 69

Resolution
verified exact
arxiv_id, observed 2026-06-30T03:04:14.096528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-30T02:55:46.036225Z digest=sha256:956a9530a7f2fe0fb48b978ed4b28e66e91fa27723d67db7dbb3c6ea063f0d1f