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Paper Citation Record · LEDGER

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory

As of 20 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2608.09665.

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

pith.paper-citation-record.v1
2608.09665 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:14:05.366625Z

measured 37 of 37 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

37 of 37 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc2dbc60-1f08-4c18-831c-68ea4cf2f20b · outbound

This paper cites Abhishek, T.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Abhishek, T

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.936916Z

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.

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Observation b3b28795-9b11-481e-b6a7-4c3c3dcfd1b0 · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.922823Z

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.

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Observation 7ac07f40-fda5-4b2c-948f-825754a26561 · outbound

This paper cites Bal and A.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Bal and A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.908459Z

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=2026-08-11T13:14:05.211828Z digest=sha256:0b234918962c89e0d7ccf68e37f0b5a14410e7e270bc218cd7491276dcb79292

Observation c33af871-c846-4a5d-915f-31c941577ee2 · outbound

This paper cites Bal and A.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Bal and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.894552Z

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=2026-08-11T13:14:05.217417Z digest=sha256:3e90734713aacd8a6c368edd5ad8403484f62e3a639928f6889883f4a2514f6f

Observation 9f5b4ed4-c00b-4582-b421-78bea07eeb67 · outbound

This paper cites Bal and A.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Bal and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.879731Z

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=2026-08-11T13:14:05.222443Z digest=sha256:3d093e7ea90162d3c1170de2465a29fd79ea1ab8a8607fffe6984c6cb38209e2

Observation a61bd981-223f-41ed-a723-ed7bb3c5e70f · outbound

This paper cites Camilli and R.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Camilli and R

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.865269Z

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=2026-08-11T13:14:05.227309Z digest=sha256:68fc4d1c08b2a0e62838981bc7fa29f81ca51b19b6b2fc985ab5d0a51bd72873

Observation cbed72cc-9c74-4d21-8d3e-ede8c62ad118 · outbound

This paper cites Cannarsa, G.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Cannarsa, G

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.850404Z

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=2026-08-11T13:14:05.232364Z digest=sha256:8ba111ba5280cc8afa299599c8919057b88ce59c0cf357f553f909c384f15be4

Observation d5b024c0-8b6e-426c-849d-2620d9f41f7b · outbound

This paper cites Chen and C.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Chen and C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.835806Z

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=2026-08-11T13:14:05.236769Z digest=sha256:3b3515b7de1b010562e76563b9e239d7d3d64a264bfde215be946b1581804124

Observation a6043a8f-3ed8-4a56-9cc9-7178c7d8cfa5 · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.820620Z

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=2026-08-11T13:14:05.241055Z digest=sha256:9c0fb3e1665c1a07fa1806a346fdcc2f9c042cbbd27c6be25a2b248700e5bfe3

Observation 383ba2ac-5674-4beb-bfe8-939b0679954c · outbound

This paper cites Colombo and D.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Colombo and D

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.806383Z

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=2026-08-11T13:14:05.245467Z digest=sha256:cb5f1d156a19d5ace54857dd41ecd4f5f99211b293474a3072aa03577f4375a6

Observation 7d9da5ec-65fd-41cb-8e3c-bb01bb2c375a · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.792416Z

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.

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Observation 26ca8ed5-cfd7-4dc3-8df1-f473cc635c67 · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.779341Z

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=2026-08-11T13:14:05.254325Z digest=sha256:f904d02f1a8a5f200629aedf30cfe9f152c4b788d0f24ff26f960dad6804efd1

Observation 9573aa19-8c77-4190-a806-2fa798911d42 · outbound

This paper cites Gaitan and H.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Gaitan and H

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.766476Z

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=2026-08-11T13:14:05.258606Z digest=sha256:981b3721f5b16b7bf9fc04754701b38a5ec7873ab5c724283a1e9e1ca14b2620

Observation 7361dbd7-2d5f-4df7-98bb-a441e292a0ac · outbound

This paper cites Graf and C.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Graf and C

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.752648Z

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=2026-08-11T13:14:05.262896Z digest=sha256:ace627edda1bceb10a8518733a2d5f3615f3637c5fe89f88788b93a946c9e776

Observation e89ebf86-aec4-440a-918f-de35559cd822 · outbound

This paper cites Janno and L.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Janno and L

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.738851Z

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=2026-08-11T13:14:05.268085Z digest=sha256:8f7f1fb3496aea5d1451001f8094e3d86a2b434d00bcfcab8be4fa636d419236

Observation b9269878-639e-4642-b426-9ed0d7ac2555 · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.723926Z

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=2026-08-11T13:14:05.273311Z digest=sha256:bfaf538a842a4233429ef3f4bb9f599f7ef7b6ac69fc4a0312ad798ce72fe490

Observation c24abc9a-08c6-4e1c-8ff7-79c53c4e0773 · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.708596Z

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.

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Observation 79ff2ef6-f866-4c99-931d-e14fc87b282b · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.694416Z

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.

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Observation 53b5f138-3760-4e05-b33f-976fbd27ffe8 · outbound

This paper cites Lai and Q.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Lai and Q

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.680243Z

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=2026-08-11T13:14:05.286636Z digest=sha256:6575f158fcbe65ab8141d2f30b157311222f2cb858a458a1e615dfe2f28dccd3

Observation d5a73471-43af-4bca-af75-ac06cb2bbc5d · outbound

This paper cites Inverse problems for time-dependent nonlinear transport equations.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Inverse problems for time-dependent nonlinear transport equations

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T13:14:05.291344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:14:05.291344Z digest=sha256:d4d1c313838a1c94b6c1a6818fa00de57c5d4901f3a5f410e09d3729f7c5751f

Observation 62e86654-947d-48df-badc-609608d6838c · outbound

This paper cites Lattes and J.-L.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Lattes and J.-L

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:14:05.665140Z

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.

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Observation 30f82e47-efe6-43c7-88f8-4feffdc005fa · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.651256Z

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.

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Observation 4c72fdb3-94a9-4db5-aa90-a132d337da23 · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.635901Z

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.

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Observation 9973d005-e0b4-4881-8815-b05db5279175 · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.621845Z

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.

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Observation 80805f02-f186-4341-aed4-2a35b301ee75 · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.608280Z

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.

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Observation fa04efb4-3448-4123-a03b-bf4f90891af3 · outbound

This paper cites Inverse initial data reconstruction for Maxwell's equations via time-dimensional reduction method.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Inverse initial data reconstruction for Maxwell's equations via time-dimensional reduction method

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-11T13:14:05.316711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:14:05.316711Z digest=sha256:af0cd311bb88be46067a2f50ed1064233b6078f3aaf2959e0a361eac50a3f12e

Observation d732a8dc-7d09-4911-87de-9b95cd7a6f9d · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.593759Z

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.

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Observation 4944a647-2b17-461e-b7b4-4fa79ccdf73b · outbound

This paper cites Inverse initial data for nonlinear Schr\"odinger equation via Carleman estimates and the contraction principle.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Inverse initial data for nonlinear Schr\"odinger equation via Carleman estimates and the contraction principle

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-11T13:14:05.325007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:14:05.325007Z digest=sha256:b64855182bd94cb8aefd988988c0730faffc82d70a699b23c22c703448a7629c

Observation edb4b5e5-2b4a-4146-9604-f2da3b12c271 · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.577324Z

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.

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Observation 1c5c8c94-d099-4ec0-9683-d58772cef369 · outbound

This paper cites A Carleman contraction method for inverse initial data recovery in the Navier-Stokes equations with unknown body force.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory A Carleman contraction method for inverse initial data recovery in the Navier-Stokes equations with unknown body force

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-11T13:14:05.334305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:14:05.334305Z digest=sha256:9a885244606a31a38c1bfc7bfbe0c51e55ac0b5a805a0ba42ef8937be6732e97

Observation 37abeaf4-67cb-475f-b58d-c87ed63d198a · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.561188Z

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.

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Observation 168d429b-6e67-4666-8721-57de3ffd66fa · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.543713Z

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=2026-08-11T13:14:05.343808Z digest=sha256:4a10f1c7b25cd57063b48dfde1566a5e1e14d79c2731ab7587863ad8ac06b25a

Observation aebbe309-0b9b-4f53-8683-af18629647ad · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.529257Z

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=2026-08-11T13:14:05.348389Z digest=sha256:d9b75c8bd7697f4af6e89a70c0d3d82f11218a00ef04090f568bf57bd43452e3

Observation 52db4392-2423-445c-a273-2803b4c12cab · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.515024Z

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=2026-08-11T13:14:05.353300Z digest=sha256:9f35287cb3cfd4e517d09d5e54d02a9792be4d7047ca17c40ac6851bc65caf54

Observation cf12b5f3-01fd-4ea9-a46c-20c8da02e12c · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.498401Z

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=2026-08-11T13:14:05.357580Z digest=sha256:2a2dc772e36d6ad95ff54762a4f34e9f9dbc6ed25f9aaf7f6434bd2ab4b65c8c

Observation bada5b4f-edd4-45b2-ae13-12231152c3ac · outbound

This paper cites Inverse initial data reconstruction for a memory convection-diffusion equation via Legendre spatial reduction and Tikhonov regularization.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Inverse initial data reconstruction for a memory convection-diffusion equation via Legendre spatial reduction and Tikhonov regularization

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-11T13:14:05.407965Z

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=2026-08-11T13:14:05.362056Z digest=sha256:36a125b60b00c346641763ec923ef9468b81d793c9c4d87d787c23cf69e11cbe

Observation 4495b386-3c54-4fc5-92fc-55d351c79383 · outbound

This paper cites an unresolved cited work.

Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:14:05.483636Z

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=2026-08-11T13:14:05.366625Z digest=sha256:a74712a890dd34fa85be67e78318845a621173075395461592239739c691650a

Pith citing papers

No inbound Pith citation observations are available.