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Paper Citation Record · LEDGER

Optimal cost of fast boundary controls for the one-dimensional heat equation

As of 12 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2608.08041.

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

pith.paper-citation-record.v1
2608.08041 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:44:15.044933Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

38 of 38 outbound references displayed

  • verified exact2
  • verified fuzzy25
  • unresolved11
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2454c91e-de94-4a42-8ee8-0f98042c96dd · outbound

This paper cites Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces.

Optimal cost of fast boundary controls for the one-dimensional heat equation Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces

Reference 1

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 56d39a91-6f02-490c-9894-3cfeee6e422e · outbound

This paper cites Boyer, F.

Optimal cost of fast boundary controls for the one-dimensional heat equation Boyer, F

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.835591Z digest=sha256:5e39bcedc95080d758c0618eee932a342c3b711414af3a503df992b1631e2421

Observation ca6d5919-b3ab-4726-8abb-376554220f6f · outbound

This paper cites Boyer, F.

Optimal cost of fast boundary controls for the one-dimensional heat equation Boyer, F

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation faf4aa3a-706a-41f7-b100-0f2174e0d7ab · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation e5097b90-f330-466e-8811-9af80b8c6e18 · outbound

This paper cites Coron, Control and Nonlinearity, Mathematical Surveys and Monographs, vol.

Optimal cost of fast boundary controls for the one-dimensional heat equation Coron, Control and Nonlinearity, Mathematical Surveys and Monographs, vol

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.853810Z digest=sha256:db34efab05c2f1fbff01070dfaf5a5de38324c13584ca05ed08d81d96eb62d18

Observation 2895fc71-f1e4-4618-871d-61f6e9eaf89f · outbound

This paper cites Coron and S.

Optimal cost of fast boundary controls for the one-dimensional heat equation Coron and S

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 2026-08-12T06:34:41.77262+00:00.

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Observation cda9a1ce-84fb-4adb-9547-093de60492d3 · outbound

This paper cites Dard\'e and S.

Optimal cost of fast boundary controls for the one-dimensional heat equation Dard\'e and S

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.866211Z digest=sha256:2da9f285512e7d981c3cb66848f6b2be84522b6278c3edd48821f38779547022

Observation a8d294f9-eed5-4c73-99e5-4ec0fde22cee · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:44:15.648525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.871389Z digest=sha256:eb66fa41412b450757daa668168a1560817181b3df031be7bdc096c98f384547

Observation 4af24557-50c7-4211-abe4-26d40466a393 · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:44:15.631097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.876998Z digest=sha256:d5c953ba943b99cfbbf81793e648f1209056241218c13edbc11bc90b2302724d

Observation 5ccfe2e7-84f2-44d0-9cf7-5d27c9d8ce6d · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:44:15.616887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.882092Z digest=sha256:13a9e2a07c644e4d7e98285f128ff91914b63cc41b0b17287154bb25f507ee44

Observation 19ea9e28-e7ee-4209-b8cc-be3f98b14bb7 · outbound

This paper cites Fern\'andez-Cara and E.

Optimal cost of fast boundary controls for the one-dimensional heat equation Fern\'andez-Cara and E

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.887131Z digest=sha256:4077abee23dac4f468e91045c7670063755b3329095b26b35aafe56ae4ff5d8a

Observation 461cbc98-99fa-460f-9d5c-628356f569f1 · outbound

This paper cites Glass, A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit, J.

Optimal cost of fast boundary controls for the one-dimensional heat equation Glass, A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit, J

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 8a114162-d9cf-419f-a466-44edbaf4cb58 · outbound

This paper cites Guerrero and G.

Optimal cost of fast boundary controls for the one-dimensional heat equation Guerrero and G

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.896922Z digest=sha256:8e58d1b7d01e55c4ff5e09f8ef0a4a5d5b6d902cd9f511cf19c875aa48babc25

Observation 37d5ec76-fdcc-4e60-aa0b-33b3c2e7a0ce · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 14

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.902409Z digest=sha256:5fa771e1171d8d14d3ee0f9110b1e8a490f21908c2f2ede2945577d86c5b3b04

Observation 4aa05062-0b72-4abf-9fb2-2a9c0a3a5d55 · outbound

This paper cites Jin and R.

Optimal cost of fast boundary controls for the one-dimensional heat equation Jin and R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.536910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.907288Z digest=sha256:0ab686da6eba122085421e864c8742c40ca9f7f183bfbbb48f2618fe28872a67

Observation b954da14-96ba-4e0c-8707-39a65d0a14ce · outbound

This paper cites Kober, A note on Hilbert transforms, J.

Optimal cost of fast boundary controls for the one-dimensional heat equation Kober, A note on Hilbert transforms, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.520776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.913178Z digest=sha256:3e1a1ef34d345ed15af6ebb67633098c1983d61e5b2d7b5a4a43e3c4078822e7

Observation 50250f44-6663-46b2-a43d-0cc6863cad0f · outbound

This paper cites Koosis, Introduction to H_p Spaces, second edition, Cambridge Tracts in Mathematics, vol.

Optimal cost of fast boundary controls for the one-dimensional heat equation Koosis, Introduction to H_p Spaces, second edition, Cambridge Tracts in Mathematics, vol

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.503477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.918521Z digest=sha256:9d0e893cad58b20f04caafadfe19a0331f40445d4abb6daa0e6fafba9cee102f

Observation db861df4-df8c-4409-a2db-a27a7dbddf5c · outbound

This paper cites Koosis, The Logarithmic Integral II, Cambridge Studies in Advanced Mathematics, vol.

Optimal cost of fast boundary controls for the one-dimensional heat equation Koosis, The Logarithmic Integral II, Cambridge Studies in Advanced Mathematics, vol

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.487623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.923127Z digest=sha256:16f7f183e681c32175beef78938d3b0eb7ab1280d73cb64dcca47d835834a90b

Observation 77deae0a-5104-467f-86db-57995ae94ac9 · outbound

This paper cites Kwa\'snicki, Ten equivalent definitions of the fractional Laplace operator, Fract.

Optimal cost of fast boundary controls for the one-dimensional heat equation Kwa\'snicki, Ten equivalent definitions of the fractional Laplace operator, Fract

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.471860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.928912Z digest=sha256:0ce1cce5bf18253c0f96facf88f0948732984befb2d6cb6f1adec72869796cf6

Observation 3ab6af40-c175-46a1-b6b6-be0fdf207b71 · outbound

This paper cites Laurent and M.

Optimal cost of fast boundary controls for the one-dimensional heat equation Laurent and M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.456424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.933977Z digest=sha256:258d6f89e45eabd356f1f25a23cd473ab82012176614aae9c8228e8e228790fd

Observation e191ee18-1ddb-447d-9df6-9bcc68385e19 · outbound

This paper cites Le Balc'h, Global null-controllability and nonnegative-controllability of slightly superlinear heat equations, J.

Optimal cost of fast boundary controls for the one-dimensional heat equation Le Balc'h, Global null-controllability and nonnegative-controllability of slightly superlinear heat equations, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.440561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.939667Z digest=sha256:d78c310a3b484c28980203619cfbb1bca64669f7007c025c88f3d9d9382665d5

Observation ad5d2f72-6849-428f-91a1-53f3f4db2041 · outbound

This paper cites Lissy, A link between the cost of fast controls for the 1-D heat equation and the uniform controllability of a 1-D transport--diffusion equation, C.

Optimal cost of fast boundary controls for the one-dimensional heat equation Lissy, A link between the cost of fast controls for the 1-D heat equation and the uniform controllability of a 1-D transport--diffusion equation, C

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation c97d346e-bd40-40b4-9712-b60869f3da61 · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:44:15.409972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.950834Z digest=sha256:a3675b771ed25248ed44d2b8dd442ce37441e22dd1a73576c9d87fa2b972cd7d

Observation e0060e23-e61a-4106-9322-64bebf1a455b · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 24

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.956265Z digest=sha256:48f0918f9dff0174a83337ac64cb046e2ed60e09d3e7836ae392b2b23ed862df

Observation b3d87d7e-033b-467f-b890-3f836b047306 · outbound

This paper cites Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation.

Optimal cost of fast boundary controls for the one-dimensional heat equation Effective multipliers for weights whose log are H\"older continuous. Application to the cost of fast boundary controls for the 1D Schr{\"o}dinger equation

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:44:15.107933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.961473Z digest=sha256:eaed56d896e5c8072d77d1c96b2a3ec27b300ccd7c208aba26a36f59d58d370a

Observation 4dba5f4f-68af-44ae-88bc-2cc6f5903ede · outbound

This paper cites Makarov and A.

Optimal cost of fast boundary controls for the one-dimensional heat equation Makarov and A

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.378861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.967134Z digest=sha256:3242e615fd343bc36ccc35e183e092249c619c6f214f828dad1d41932f8a4f92

Observation dc7edc00-bc4c-4afe-9c56-d82183948b47 · outbound

This paper cites Mashreghi, Representation Theorems in Hardy Spaces, London Mathematical Society Student Texts, vol.

Optimal cost of fast boundary controls for the one-dimensional heat equation Mashreghi, Representation Theorems in Hardy Spaces, London Mathematical Society Student Texts, vol

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.362943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.973938Z digest=sha256:c6c8d2d0fc0f808bb65f82751a2ad6da6e64b6bc3a6181a1db3668b8b81150ec

Observation 70bcd1a2-d57e-41bb-93c4-47021430ac61 · outbound

This paper cites Mashreghi, F.

Optimal cost of fast boundary controls for the one-dimensional heat equation Mashreghi, F

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.346178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:14.979645Z digest=sha256:46bb732e7a91ca21227190b9a91d452d98d10a87724c7ed44aa23647651989b5

Observation 1d6bfa5a-314d-45c9-beda-48be7186493a · outbound

This paper cites Miller, Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time, J.

Optimal cost of fast boundary controls for the one-dimensional heat equation Miller, Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time, J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.329011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation cfdfc774-cc02-4780-89bc-adbc9a3630c6 · outbound

This paper cites M\"unch and E.

Optimal cost of fast boundary controls for the one-dimensional heat equation M\"unch and E

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.311512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 0bc9681b-6d4e-40ba-bf16-5590ed123784 · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:44:15.294506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 2253fed5-779b-425c-b843-5d4b1a07ec1a · outbound

This paper cites Petrosyan, H.

Optimal cost of fast boundary controls for the one-dimensional heat equation Petrosyan, H

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.277245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:15.002568Z digest=sha256:5022b5f050bd8eae3ea8c5b065aaca1d0e2d8b47e12a1711bb88c57f0d7635af

Observation ea4712a4-a086-4369-abbd-75a7bc7b9621 · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:44:15.250934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:15.008249Z digest=sha256:a7a78f4d8e601a5e734a177164e29c1fa041e8dbe7257787308ddceee0e6c81a

Observation 684a12eb-78bd-4d2f-97a8-f082ae6e6f70 · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:44:15.233942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:15.014602Z digest=sha256:062bdb12e4c9069381f83584cfa59d83391552cb49bf2c324dc2f1bc159f101f

Observation f2fa046d-3a79-4cb1-a5ae-c4bcef17a38e · outbound

This paper cites an unresolved cited work.

Optimal cost of fast boundary controls for the one-dimensional heat equation Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:44:15.213421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:15.021162Z digest=sha256:845a5a48aaa8d74c96fd6f22ed1d6cdcc4457e999c5b76547d1657bf0106a40e

Observation 44c40c0c-05c9-41fb-b6a5-142e799000da · outbound

This paper cites Silvestre, Regularity of the obstacle problem for a fractional power of the Laplace operator, Comm.

Optimal cost of fast boundary controls for the one-dimensional heat equation Silvestre, Regularity of the obstacle problem for a fractional power of the Laplace operator, Comm

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.194534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:15.027357Z digest=sha256:b40991ec16c3b636d3142779c6a683c074fe02b68f6805dcd8ebd2daf041c841

Observation 2f546a0e-c48a-40d8-8e5a-c3287a87282d · outbound

This paper cites Tenenbaum and M.

Optimal cost of fast boundary controls for the one-dimensional heat equation Tenenbaum and M

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.174788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:15.035892Z digest=sha256:bcc86bd595e62444f6587e276c441e930f5de0e65273aa146223e968dd08b65e

Observation 390ec84c-2d9d-43d0-aea8-1b5b64a34f6d · outbound

This paper cites auser Advanced Texts: Basler Lehrb\.

Optimal cost of fast boundary controls for the one-dimensional heat equation auser Advanced Texts: Basler Lehrb\

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:44:15.158374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T00:44:15.044933Z digest=sha256:ad0ec726eccc32623273a1300bbff06cf8a058c8b9f993fc60f337ba0c15747e

Pith citing papers

No inbound Pith citation observations are available.