Pith. sign in

Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:cc095f284d1bded9ffdfb849e00ce047caabfb9fc70e12d4cd925c535cb9c73a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:a49245e53294bf1f8edc5fe30f2b606011296177460d7f8e4abbdd7aa2e4e6d5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:895778221f729683e84de363ffe13fcfb651781a7883a23e79077a724ecb9cd1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:a1771f2200d6b8655d9878fed96bce05de5f916851d4bf07e1732f9c40e0b36a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:28391905167ec7c0fc5505a2a89e6012100be9f986b8cc14bfedec2f1a5d32bd

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:8545b11c4a81d508c25ba18288629ca073ffcfb8b88b807259fc1abc74f5ba06

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:797c798d3b63e45ae6a8d92651810014ae49bc91ebfc0457f963488d5bb63a1d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:6d0e62b16e159933ce4452d6809c33f86bde2d065694127ede2f7f07bbe6d96b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:bd4403a952871edde31d156d23ad7e48ea1311c62ea4623a367b53fabe5708c9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:79b7ee4aae1bd6a0d5c9620c8a9d130570613eee740d3e537143c2afb3ace473

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:e6f722a9a17cdb9648a152e0125babe82f5aa357003d5de924a71e4ef28f59e4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:a2540086d6c96fd589efde4a07dbe4a380f9426d404706682befcba553b4199b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:bce4561e68abbe7fbfca1cd98ac0b58260b6aa3e2a1aa15a99ad53d6cfa7bb54

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:9a2e2b71094058ff8c491a5941e058d4d4eef88b73bf96984e987f2f3dcb6b82

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:4735ad4e4cfabcb87eca9999bb8e6599235cc0b0557f320f19540955b0f4039e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:3a79bbef2f9d4f67ecd3b7c80eb97f1d533ff40fe10ba36872882530df15666f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:01a1500b3505ee02422bdba2cd18325e2546d1110499eb834fa101cdf394904b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:10411b063cdcb9271adc3a2ee49ebadccf667cc26bca17c55d532a1619a41716

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:9e3f76d696395b34d4ed97cd52b50ed5801308bc47d0fc6d27e5619f8ed3695d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:aab043fbc0c195722abfc982e841ae7b53dbbf5da31096cb32cd8423c21ac423

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:4306c9a8d98057db7b3ea3129addf43d6c17de51d7c12c7139a8792e6212502a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:0e90c9958782fd44cb0bf0b882c2e839d12443716db36faed601685507cd0207

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:861e8499602eb9d5e732e867cdedd222a6d3e4c7d6c3224a9a8a945d97e80339

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:23e782a88ca7d0ae34948e733cac41444c47b2846b420ec9b7201e9de3913b3c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:daa875fad087e3668867ac6b0598e9986d497268ecabc29e774d5b96ecb22982

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:9e4affa74c23256d77bd39808666da5bbb4a9e2eaac53aae0e1120bc1df44c1c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:518a203d5033e23f0ce062b289d884a4089a8838a37f8fe4d229bb369ea5b96d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:13c524129b1b12415643572e627d6b6224afdb33fd868869d92dd11d776cbbf8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:1fbacb731bdeaf538acfb3ca3056a5d2e812540dacfb51ad03ae8ce996f8a14a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:5af0621f47bdee5d2592ec354dbedead473a98443c83f25c890ed73efc278b2b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:3d7cb2514572a01d42f9a5c5837c236477d9240be9d74223b83c8475da137170

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-08T22:34:36.278929Z digest=sha256:0ec65776138af04120b8cd51edc7e5692102aeb5783bef5a646cdf5da5332baa

Pith citing papers

No inbound Pith citation observations are available.