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Paper Citation Record · LEDGER

The regularity properties of nonlocal abstract wave equations

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.09759.

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

pith.paper-citation-record.v1
1908.09759 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:30:53.119365Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

32 of 32 outbound references displayed

  • verified exact0
  • verified fuzzy24
  • unresolved8
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 80a90324-e0ce-4929-af02-be2942cac983 · outbound

This paper cites an unresolved cited work.

The regularity properties of nonlocal abstract wave equations Unresolved cited work

Reference 1

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0e18bb0e-1b2c-4886-9219-de213b7bc259 · outbound

This paper cites Huang, Formulations of nonlocal continuum mechanics based o n a new definition of stress tensor Acta Mech.

The regularity properties of nonlocal abstract wave equations Huang, Formulations of nonlocal continuum mechanics based o n a new definition of stress tensor Acta Mech

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.683813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e508cc0b-466f-455c-95ed-8a8067ccecf9 · outbound

This paper cites Polizzotto, Nonlocal elasticity and related variational principle s Int.

The regularity properties of nonlocal abstract wave equations Polizzotto, Nonlocal elasticity and related variational principle s Int

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.666417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 74298b74-21ea-4685-9994-1a1d01c9fdd1 · outbound

This paper cites an unresolved cited work.

The regularity properties of nonlocal abstract wave equations Unresolved cited work

Reference 4

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a8557cd6-ee19-48fa-8f73-52440d91781b · outbound

This paper cites Arndt and M.

The regularity properties of nonlocal abstract wave equations Arndt and M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.632712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a28ee243-172d-4104-a55c-208dd7e13a64 · outbound

This paper cites Blanc, C.

The regularity properties of nonlocal abstract wave equations Blanc, C

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 25f8ec3f-af27-4876-ace1-e11a2aedf86c · outbound

This paper cites De Godefroy, Blow up of solutions of a generalized Boussinesq e quation IMA J.

The regularity properties of nonlocal abstract wave equations De Godefroy, Blow up of solutions of a generalized Boussinesq e quation IMA J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.598677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation daf8f866-99dd-463b-ab51-58178a71120c · outbound

This paper cites Constantin and L.

The regularity properties of nonlocal abstract wave equations Constantin and L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.580963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 81c86322-72b1-452d-8c2a-9f3be12ebd0b · outbound

This paper cites Chen and S.

The regularity properties of nonlocal abstract wave equations Chen and S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.562941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 28e4fec0-e45f-4144-9529-af7896f88171 · outbound

This paper cites Lazar, G.

The regularity properties of nonlocal abstract wave equations Lazar, G

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.543600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 54fd6986-3183-4be2-9869-ab4aa7282428 · outbound

This paper cites Duruk, H.A.

The regularity properties of nonlocal abstract wave equations Duruk, H.A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.525850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 67b779a6-ad22-4aa8-98c2-6dccbf5fe4df · outbound

This paper cites an unresolved cited work.

The regularity properties of nonlocal abstract wave equations Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:30:53.509137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.009382Z digest=sha256:e43539c7cd68f647c78b47b37aef5dd23550ebabd2f3b0da358818b1338516de

Observation eb2f2ae2-252b-43fe-85f6-678a57cd0723 · outbound

This paper cites (2006 )64 159–73.

The regularity properties of nonlocal abstract wave equations (2006 )64 159–73

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.491520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 67e313b2-357b-4e43-9bda-1c951ac91059 · outbound

This paper cites Bona, R.L.

The regularity properties of nonlocal abstract wave equations Bona, R.L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.475191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.020695Z digest=sha256:52e44ff974c6947da8e5807a085737da29aebd9e56635e0cf63b3674e0d3d59a

Observation cd6e8baa-2d90-4453-b217-acf2000fa289 · outbound

This paper cites Linares, Global existence of small solutions for a generalized Boussinesq equation, J.

The regularity properties of nonlocal abstract wave equations Linares, Global existence of small solutions for a generalized Boussinesq equation, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.459221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.025547Z digest=sha256:5cdc22cc2bab7f3227c2d1c345da306578345baa2a8522cdab41281a7a3c1910

Observation 0803ce2c-fdce-4f61-a4f1-00f9ad0d2a01 · outbound

This paper cites Liu, Instability and blow-up of solutions to a generalized Bouss inesq equation, SIAM J.

The regularity properties of nonlocal abstract wave equations Liu, Instability and blow-up of solutions to a generalized Bouss inesq equation, SIAM J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.441691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.031678Z digest=sha256:2083b6dc9da5025bfbdba6dffbe34697e62b19348549ff93307ed9992647e87f

Observation a35bd955-d426-4e2a-979e-7dade6cd5264 · outbound

This paper cites Makhankov, Dynamics of classical solutions (in non-integra ble sys- tems), Phys.

The regularity properties of nonlocal abstract wave equations Makhankov, Dynamics of classical solutions (in non-integra ble sys- tems), Phys

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.425613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.036535Z digest=sha256:b630f4e1120f9dad6bff35cc2d56095f618048c48059051b1f2d2095f9a764e5

Observation ad95ada4-aa84-4424-b235-db40b00d00ae · outbound

This paper cites Whitham, Linear and Nonlinear Waves, Wiley–Interscience, N ew York, 1975.

The regularity properties of nonlocal abstract wave equations Whitham, Linear and Nonlinear Waves, Wiley–Interscience, N ew York, 1975

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.409880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.041732Z digest=sha256:018ce62fa38cbb6c23933b8ce48d082e6a5829b00547343e6d94a6db1248c805

Observation ec9f3460-0a0b-40f2-8e70-55dcea2c6247 · outbound

This paper cites Zabusky, Nonlinear Partial Differential Equations, Academ ic Press, New York, 1967.

The regularity properties of nonlocal abstract wave equations Zabusky, Nonlinear Partial Differential Equations, Academ ic Press, New York, 1967

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.393332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b2b972ef-7c56-4e01-a1d3-d1812c3b536a · outbound

This paper cites Ashyralyev, N.

The regularity properties of nonlocal abstract wave equations Ashyralyev, N

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.376911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6d72ce91-9671-4e86-b53a-c33cff30347a · outbound

This paper cites an unresolved cited work.

The regularity properties of nonlocal abstract wave equations Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:30:53.359842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 50008af8-8340-4b70-95ed-318d7adf5029 · outbound

This paper cites Girardi, L.

The regularity properties of nonlocal abstract wave equations Girardi, L

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.342955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.066652Z digest=sha256:bdcf34e93e261b5f9856888064758551d0ea5a76bcdd1cab64bc1bc175b2306e

Observation 09c1be23-181f-4319-98a1-4fb823d7e5ae · outbound

This paper cites Triebel, Interpolation theory, Function spaces, Differentia l operators, North-Holland, Amsterdam, 1978.

The regularity properties of nonlocal abstract wave equations Triebel, Interpolation theory, Function spaces, Differentia l operators, North-Holland, Amsterdam, 1978

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.326844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.071711Z digest=sha256:ab5feccce76324902220cfeb0adf152357c27bc9672d485689f1e14795d08c88

Observation 18d022d1-b367-45bd-8615-68946cad2e78 · outbound

This paper cites Triebel, Fractals and spectra, Birkhauser Verlag, Related t o Fourier analysis and function spaces, Basel, 1997.

The regularity properties of nonlocal abstract wave equations Triebel, Fractals and spectra, Birkhauser Verlag, Related t o Fourier analysis and function spaces, Basel, 1997

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.310190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.076821Z digest=sha256:e3ea92938053fba818f5613a3b37b3f29bc64c0e585898221cf189bee009e0bb

Observation ee41f9ca-1a12-47c0-9d73-b09857a80fec · outbound

This paper cites Nirenberg, On elliptic partial differential equations, Ann.

The regularity properties of nonlocal abstract wave equations Nirenberg, On elliptic partial differential equations, Ann

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.291899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.082690Z digest=sha256:09c7d31a9a00c8c63fd2bbc26e59cf2aad23756a855e92054c32892fdb8ac205

Observation 60245c2d-2306-4a86-ac05-69308b419e8d · outbound

This paper cites Klainerman, Global existence for nonlinear wave equations, C omm.

The regularity properties of nonlocal abstract wave equations Klainerman, Global existence for nonlinear wave equations, C omm

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.272590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 178e3cea-56c9-4753-97bb-2760dc223ecd · outbound

This paper cites Coifman and Y.

The regularity properties of nonlocal abstract wave equations Coifman and Y

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.253863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 362628dd-2d71-4d04-83f4-ecace1457314 · outbound

This paper cites an unresolved cited work.

The regularity properties of nonlocal abstract wave equations Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:30:53.233605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 46e087eb-0ac9-4da3-9cbd-79ee36ac15ba · outbound

This paper cites an unresolved cited work.

The regularity properties of nonlocal abstract wave equations Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:30:53.212509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.103447Z digest=sha256:8926ddb7c98dc831136edad344b92a7ee9877e8716af4c004764c679c0eb281d

Observation 79a17521-6c58-41b9-b6ef-97d342c429ef · outbound

This paper cites Pazy, Semigroups of linear operators and applications to par tial differ- ential equations.

The regularity properties of nonlocal abstract wave equations Pazy, Semigroups of linear operators and applications to par tial differ- ential equations

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:30:53.194250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.108797Z digest=sha256:5f12bef712bce745384c69ef03dbed167998ba0bbbbdf13ed80ca021bf7c1f65

Observation f455c1b9-ed47-4afb-9a9c-4e2fc4fdd18b · outbound

This paper cites an unresolved cited work.

The regularity properties of nonlocal abstract wave equations Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:30:53.176405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.114523Z digest=sha256:50d46a4d54a20ca662e943b332ae79ec6691a787ae9d3d1f7d1f82a1be33d64e

Observation 92360ffe-0808-4bb8-a406-ac12f8a17ff9 · outbound

This paper cites an unresolved cited work.

The regularity properties of nonlocal abstract wave equations Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:30:53.158825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:30:53.119365Z digest=sha256:eb3971505441695e5e84a61a363ce99af1d662dc15acb1ff0adfa75c323004b1

Pith citing papers

No inbound Pith citation observations are available.