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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 21 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 2026-08-21T06:32:19.484+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

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
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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 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T13:14:05.217417Z digest=sha256:a153b65c50680f0598f46b15b7132cdd9a9930722e45a977ab35af1130b947d3

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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T13:14:05.236769Z digest=sha256:95faa18616a6be653f9eb82a3636c497b37aff5131c0b90fc4235c6a2e015ea2

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T13:14:05.241055Z digest=sha256:f2f7cbeab51669beb9e0cc91bb0e7b491dbfb43ff129399f4c199d0211e3e1ad

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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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
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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 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T13:14:05.343808Z digest=sha256:40bc99039fac2e1cc2b218b51a3954edd3ca60596d2ba2fbd1d734af95d89cc6

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T13:14:05.348389Z digest=sha256:a7cfec54833fcb259e8077f7db50c0cc5bf65d33edb40f84104a9b1b5d078847

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T13:14:05.353300Z digest=sha256:686e1406c19b8783783cd1830205034fcfebd16e4d8f890dcea6ef42e3c97bf0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T13:14:05.357580Z digest=sha256:39ba905620e2121134163951ed61adcc1740527c74b500c48f63316234bd0729

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T13:14:05.362056Z digest=sha256:8922530ea6a5d87b37b91a488763767b3882ed776741026d840c8b9ee4150bb8

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T13:14:05.366625Z digest=sha256:24b54484e944b7b8a29248878872ed58e945cdc962d2b60f35321dd4ebf780af

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No inbound Pith citation observations are available.