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Paper Citation Record · LEDGER

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces

As of 21 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.05856.

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

pith.paper-citation-record.v1
2607.05856 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T22:34:36.278929Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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 exact1
  • verified fuzzy21
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0e80edb4-b73c-4e39-80b3-b1403afa3501 · outbound

This paper cites Anantharaman, M.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Anantharaman, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.721877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 8edc1e4d-f078-4556-be49-49d46c214a62 · outbound

This paper cites Arendt, C.J.K.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Arendt, C.J.K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.734723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 593a9342-70c5-4b19-adc8-60ac958f6f66 · outbound

This paper cites an unresolved cited work.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:35:40.710121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 05812040-eb94-4e63-b76a-177d5688e055 · outbound

This paper cites an unresolved cited work.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:35:40.714061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:29422e8dae5e307ceb7f0459ceb7e57badb5a31644727277d9e78f2de66bce91

Observation e319c3e9-028d-4dac-a3c3-ca5db4026a3a · outbound

This paper cites an unresolved cited work.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:35:40.746192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:de18346ac7dacd1890669c1cf6148984a8431c2a1dac22ffed5da61de304045c

Observation b8306b33-8aa2-433b-bef2-5abd714eb0f7 · outbound

This paper cites an unresolved cited work.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:35:40.718334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:6e1a27bfc105b028632fc828a1ec0a9a098c43a563883f6e476435bea53b4aa1

Observation 95fbadea-3022-4422-a064-557962bbbcf0 · outbound

This paper cites an unresolved cited work.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:35:40.736199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:31a8e4b8707509d4a61b3003001e481be2869f9e1b5a599e7ba907901ad3b320

Observation 8ae8622f-661d-42dd-9f99-0452b2f479b6 · outbound

This paper cites an unresolved cited work.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:35:40.715991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:431c0e9492fc55ce603cec05f7d75163ac04c49e6613183fec02a704786c0f2f

Observation 4616127a-91c6-4088-b76e-c2e6b6725ac3 · outbound

This paper cites Chill, D.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Chill, D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.737741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:9c56aef9636287ed56e1357a573f120cd2ac917c753d36d09bc824f7516e3362

Observation a0cbdd5f-2a6f-4f05-8199-bf99cad242e0 · outbound

This paper cites Chill, L.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Chill, L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.725178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:3219702f64ceb0032a4ae5f69a58adb17590cff211fca1536313d232393dfddc

Observation 00976b62-d46d-4a0a-9153-eccba70ddcbc · outbound

This paper cites Cox and E.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Cox and E

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.755917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:7a97a155cc37605c55f8f1a17e8e7614a3dcfa2d81ad9723662641133e646db5

Observation 71bce038-905b-4cb2-a6eb-930d5e797f20 · outbound

This paper cites an unresolved cited work.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:35:40.747755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:fc3731c7441c68f145e06dce95f24ff55aecc337dbfff0c6f90b8aa004eee2af

Observation 65911ff8-2584-4552-98b4-877edc185f11 · outbound

This paper cites an unresolved cited work.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:35:40.731450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:151688be00a29420efff324f5ed64fbe1dd76e90d5f1a258783cbef314beba09

Observation 683efca2-eef8-44c3-86eb-9a267ab4e9a0 · outbound

This paper cites Freitas, P.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Freitas, P

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.726770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:280e514e3d6a529c69d0b7f2b439e4282a62f0b99ded62ce8f98d918a9b017d0

Observation 33bf4ac9-6054-4cd9-95b5-b6249664c0d6 · outbound

This paper cites Gesztesy, H.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Gesztesy, H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.723563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:dda0849bc6294f42ecefc041bcad44f550b158f6cb6d736281d2a7e67cde10aa

Observation 790acbeb-73c3-4654-9db8-39c0e3c90a70 · outbound

This paper cites Ikehata and H.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Ikehata and H

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.733195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:2c62b1c155abe6ffed0497fb7f53756e049c21c104ffd56e7010728f61a27946

Observation fbfb11f0-eb3f-4fef-b446-3869853e0c41 · outbound

This paper cites Ikehata and H.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Ikehata and H

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.752827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:2a5463e71d581d8c1a4acfa0dbab836771a487b3985dc3bab47f2fc1cadfc639

Observation d77fb3ae-142a-4b17-a853-0df1d2010382 · outbound

This paper cites Ikehata, G.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Ikehata, G

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.754354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:6a5ec0c3e349f9a69fe0117bcb26cb1a5d2ac26d222a5fc102585247e7c4d3dd

Observation 16275927-dddc-421b-90b9-b9172610fff3 · outbound

This paper cites Kr´ ol,Resolvent characterization of generators of cosine functions andC 0-groups, J.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Kr´ ol,Resolvent characterization of generators of cosine functions andC 0-groups, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.742973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:80e267f12fd56ade5f629bffd36b1e4a82d0b45f3cb93b37592a4180934d826f

Observation 2f3beefc-d590-4f42-9279-966bae621e9f · outbound

This paper cites Kr´ ol, Y.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Kr´ ol, Y

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.729947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:642046abd937caf99c8fc5b0d17223522e3468c46092df8c43560cb0d5616cee

Observation 8498c938-859e-42a4-a145-608b783ee0ce · outbound

This paper cites Latushkin, A.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Latushkin, A

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.739533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:cb09314b7ecff53324f6550a58af61a0e5bfe6fc278bf8faa99aa799a769fd37

Observation bc1f025b-1e6f-4fd1-82fd-c6ebfa0646a4 · outbound

This paper cites Long time energy averages and a lower resolvent estimate for damped waves.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Long time energy averages and a lower resolvent estimate for damped waves

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-07-08T22:35:40.472382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:697c8a004ef1c6676645cef1c674c53007283b5362a052ac8b8fbf7cd2d2d294

Observation 8d3c5606-0bae-4816-abb0-8d47a05ad028 · outbound

This paper cites Malhi and M.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Malhi and M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.744520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:d03f97614d76e3dc468965a98aa3c4c2ac50d73cf8c2a2ba2a799e0edd6a5cf9

Observation 7293654f-2d15-44ab-81ed-67f6b8ebe5e4 · outbound

This paper cites Neubrander,Integrated semigroups and their applications to abstract Cauchy problems, Pacific J.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Neubrander,Integrated semigroups and their applications to abstract Cauchy problems, Pacific J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.720205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:62d99f9f646beba494de7d67d1a68b92a6329cf7a16ba85534f7a25835a0d43f

Observation 785ea930-1900-4a52-86bf-d37d15c2a77a · outbound

This paper cites Orive, E.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Orive, E

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.708229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:7fbe6f16e0d5048359b60389c3a05f98285ca6db06626801ddbd7311321b5382

Observation 856fdbc5-7feb-43a3-a17d-4b2aaf77418c · outbound

This paper cites Sobajima,Higher order asymptotic expansion of solutions to abstract linear hyperbolic equations, Math.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Sobajima,Higher order asymptotic expansion of solutions to abstract linear hyperbolic equations, Math

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.702539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:5bde40c818fc66820963d0fb7946c26abf7e14ba9ff8e566d145ba4cdd092e2b

Observation 4d6a324e-3b8d-42b6-8d58-f4590052d896 · outbound

This paper cites Sogge, Fourier Integrals in Classical Analysis, Cambridge University Press, 1993,105.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Sogge, Fourier Integrals in Classical Analysis, Cambridge University Press, 1993,105

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.712304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:2d310795ec1d13e2e7c08be03506b4a27c9c1a10b8466932dcc7398239a398f2

Observation f9fd427d-f530-4b22-8a11-8f1f22de8670 · outbound

This paper cites Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Uni- versity Press 1993.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Uni- versity Press 1993

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.706410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:3b08261eb9c7f659a96f97344318bede18f057fbb060aa28179893171575f9e4

Observation 83e78b44-8983-4cd2-81ca-e0590a570fc7 · outbound

This paper cites Taylor, Pseudo-differential Operators and Nonlinear PDE, Birkhauser, 1991.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Taylor, Pseudo-differential Operators and Nonlinear PDE, Birkhauser, 1991

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.741189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:21aa74e4bdaeae778890871ec79da875c9c5856cdf3cd28c9af6bb7184656f1a

Observation d507b987-5859-4304-8cbd-358a054a3f1f · outbound

This paper cites an unresolved cited work.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:35:40.750901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:8850a88fff43f375d2c614c85b0a739cf408028854123d7d02b697f85e0720cf

Observation 86797154-d3b8-4dfc-92d2-be03eefb74d9 · outbound

This paper cites an unresolved cited work.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:35:40.749389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:f68aebdb5792181319c643dbb2a754f8bb77d9942f255fb3ed0e34a3c0dbdb2b

Observation 1f399ef5-b727-46dd-81ef-e05a9b3d8fc0 · outbound

This paper cites 1701, 1998.

The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces 1701, 1998

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:35:40.704434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:6320aad4f07eb29c062b0522cd94217d0fd720430e91c66cd8cef06f1f83b2be

Pith citing papers

No inbound Pith citation observations are available.